Fretboard Topologies v.1.03 r120307

fretboard topologies

1,117 scales and modes for guitar players

by Nicholas Puryear

Version 1.03 rev120304

Copyright © 2010 Nicholas Puryear

All rights reserved.

www.fretboardtopologies.com

This book was composed with Microsoft Word and OpenOffice Writer (free download at OpenOffice.org). Fretboard diagrams were created with the Table function in Word, and scale-note and chord-note dots were created and positioned with the drawing tool and cut-and-paste function in Writer. Permutations of intervallic structures were calculated at http://juliusdavies.ca/andre/permutations.html.

Copyright © 2010 Nicholas Puryear. All rights reserved.

http://juliusdavies.ca/andre/permutations.html

fretboard topologies

1,117 scales and modes for guitar players ▪ Every five-note, six-note, and seven-note scale containing

an interval no larger than a major third

▪ 266 harmonized 7-note scales with chords

▪ Selected 8-note scales

by Nicholas Puryear

Version 1.03 rev120304 Copyright © 2010 Nicholas Puryear

foreword I’m not a professional musician. I have no formal musical training. I don’t play out, I don’t teach, and I don’t claim to have discovered anything new. This book began years ago as my personal guitar and music notebook. Over time, it grew and evolved to its present form. All I’m trying to do here is pass on some things I’ve learned.

Fretboard Topologies contains no arcane secrets to guitar mastery. It’s not a method book or instruction manual. It’s a resource for guitarists who use scales and scalar systems to compose, improvise, and explore the instrument. It provides a full accounting of 5-, 6-, and 7-note scales containing intervals no larger than a major third and selected 8-note scales, chiefly to account for the Bebop scales and the Diminished Scale.

PDF is the ideal format for this book. You can print out some or all of it, slap it in a 3-ring binder, mark it up at will, and print clean replacement pages as needed. But because it’s PDF, people will make copies. That’s inevitable, and you know what? It’s not a problem. I’m fine with that. Please feel free to make copies and send them to as many of your guitar-playing friends you think might be interested.

Fretboard Topologies is free. You don’t have to register, sign up, or fill out any forms to get it. Just click the Download tab at www.fretboardtopologies.com. There’s also a Donate tab at the website if you want to help support the effort. The suggested contribution is $5, but all donations are gratefully accepted.

Lastly, I proofed this book carefully, but like doctors who treat themselves as patients, authors make lousy proofreaders of their own work. I would be very grateful if you report misprints, typos, or other errors to [email protected] so I can correct them in subsequent versions.

That’s it. Thanks!

contents

Introduction 1

Part 1 (generally useful scales)

Topology 5.1 (2,2,2,3,3) 6

Topology 7.1 (1,1,2,2,2,2,2) 9

Topology 7.2 (1,1,1,2,2,2,3) 17

Topology 7.3 (1,1,1,1,2,3,3) 59

Part 2 (somewhat less useful and in some cases downright useless scales)

Topology 5.2 (1,2,2,3,4) 91

Topology 5.3 (1,1,2,4,4) 104

Topology 5.4 (1,1,3,3,4) 111

Topology 6.1 (1,2,2,2,2,3) 118

Topology 6.2 (1,1,2,2,3,3) 124

Topology 6.3 (1,1,2,2,2,4) 141

Topology 6.4 (1,1,1,2,3,4) 152

Topology 6.5 (1,1,1,3,3,3) 173

Topology 6.6 (1,1,1,1,4,4) 178

Topology 6.7 (2,2,2,2,2,2) 182

Topology 7.4 (1,1,1,1,2,2,4) 184

Topology 7.5 (1,1,1,1,1,3,4) 200

Topology 8.1 (1,1,1,1,2,2,2,2) 207

Topology 8.2 (1,1,1,1,1,2,2,3) 218

Harmonized scale tones 240

Index of scales 279

Blank scale and chord forms 292

Appendix A: I-IV-V cycles of the Pentatonic Minor and its modes 295

Appendix B: One-note alterations of the Major Scale and its modes 298

introduction

This book is based on the concept of musical interval—the sonic space between any two notes.

▪ The fundamental interval in Western music is the half tone (or semitone), e.g., from C to Db.

▪ Two half tones make up a whole tone, e.g., from C to Dd to D.

▪ Three half tones make up a minor third, e.g., from C to Db to D to Eb.

▪ Four half tones make up a major third, e.g., from C to Db to D to Eb to E natural.

Half tone, whole tone, minor third, and major third are the building blocks of the scales in this book.

Musical intervals can be represented by numbers:

1 = a half tone (the most basic unit; the smallest single step in the 12-tone chromatic scale)

2 = a whole tone (made up of 2 half tones)

3 = a minor third (made up of 3 half tones)

4 = a major third (made up of 4 half tones)

A scale can be shown as a series of numbers representing the sequence of intervals it comprises. No matter how many or how few notes are in a scale, the numbers representing the intervals in that scale must add up to 12.

For example, the C major scale, C D E F G A B C, contains only half tones (which can be represented by 1’s) and whole tones (which can be represented by 2’s) in this sequence: whole tone, whole tone, half tone, whole tone, whole tone, whole tone, half tone.

The intervallic structure is 2212221, and 2 + 2 + 1 + 2 + 2 + 2 + 1 = 12.

Every major scale, regardless of key, has the same intervallic structure, 2212221.

If you know the intervallic structure of a scale, any scale, you can create it in any key.

Mode or scale? A mode is a scale. When a scale is called a mode, it’s in reference to its parent scale. Using the C major scale as an example of a parent scale:

▪ Starting and ending on the 1st note, C D E F G A B C, yields the C ionian mode: 2212221.

▪ Starting and ending on the 2nd note, D E F G A B C D, yields the D dorian mode: 2122212.

▪ Starting and ending on the 3rd note, E F G A B C D E, yields the E phrygian mode: 1222122.

▪ Starting and ending on the 4th note, F G A B C D E F, yields the F lydian mode: 2221221.

▪ Starting and ending on the 5th note, G A B C D E F G, yields the G mixolydian mode: 2212212.

▪ Starting and ending on the 6th note, A B C D E F G A, yields the A aeolian mode: 2122122.

▪ Starting and ending on the 7th note, B C D E F G A B, yields the B locrian mode: 1221222

If our example had been, say, the F major scale (F G A Bb C D E F), the modes generated would be G dorian, A phrygian, Bb lydian, C mixolydian, D aeolian, E locrian, and returning to F major (or F ionian).

In conventional Western music, the roles and relationships of the Major Scale and its modes are pretty much fixed, but outside that framework, any scale might be considered a parent scale generating a family of modes.

1

Why ‘topologies’?

Topology is a branch of mathematics concerned with, among other things, the deformation of objects in space. It has been said of topologists that they make no distinction between a coffee cup and a doughnut—both are 3-dimensional objects with one hole in them. In this book, I use topology as a metaphor and an organizing principle.

How so?

Well, what do the intervallic structures of the Major Scale and all its modes have in common? Regardless of the order of arrangement, each has the same “topology.” Each comprises two half tones and five whole tones. In our numeric nomenclature, that’s two 1’s and five 2’s. As shown on the right, calculating all possible permutations of 1,1,2,2,2,2,2 yields 21 unique sequences—which can be seen as representing 21 seven-note scales containing no major or minor third, belonging to three families:

▪ Seven unique sequences representing the Major Scale (2212221) and its six modes

▪ Seven unique sequences representing the Melodic Minor Scale (2122221) and its six modes

▪ Seven unique sequences representing the Neapolitan Major Scale (1222221) and its six modes

Note: Throughout this book, a numeric sequence separated by commas, e.g., 1,1,2,2,2,2,2, represents a topology, which generates permutations; the same numeric sequence without commas, i.e., 1122222, represents an individual scale, which generates a family of modes.

What’s in this book?

Seven-note (heptatonic) scales

Every permutation of combinations of seven intervals up to a major third the sum of which equals 12:

Topology 7.1 1,1,2,2,2,2,2 (7-note scales with no thirds)

Topology 7.2 1,1,1,2,2,2,3 (7-note scales with 1 minor third)

Topology 7.3 1,1,1,1,2,3,3 (7-note scales with 2 minor thirds)

Topology 7.4 1,1,1,1,2,2,4 (7-note scales with 1 major third)

Topology 7.5 1,1,1,1,1,3,4 (7-note scales with a minor and major third)

Topologies 7.1–7.3 comprise 266 unique scales and modes derived from 38 parent scales. These 266 scales are, for the most part, interesting and useful—not only as scales, but also for the chords that can be generated by harmonizing each scale tone.

Topology 7.4 produced, in my opinion, only a few useful or interesting scales. Topology 7.5 comprises five half tones, a major third, and a minor third. Five consecutive half tones is half a chromatic scale. IMHO, a lot of the scales in topology 7.5 aren’t very useful or musically interesting, but I’ve included them for the sake of providing a complete accounting. Plus I figure you can best judge for yourself what’s useful or interesting to you.

2

Selected chords derived from 7-note scales

The first 38 parent scales in this book (topologies 7.1–7.3) are accompanied by a page of selected chords associated with each scale tone.

For simplicity and economy of space, all chord samples are named off the 6th string and tightly voiced. The chord forms do not identify fret by Roman numeral; I assume you know 8th fret 6th string is C; 10th fret 6th string is D; etc.

The selected chords are just a starting point. I leave the many possible inversions and transpositions to you. There’s a blank chord form in the back of the book that you can print out for that purpose.

As is the case throughout the book, all scale harmonizations are based on a tonic or root note of C.

Wherever the same chord form (e.g., m7+5) is associated with more than one note in the scale, I’ve diagrammed the first instance and then noted the others in parentheses.

The other 7-note scales do not have a page of chord forms, nor do the 5-note, 6-note, and 8-note scales.

Six-note (hexatonic) scales

Every permutation of combinations of six intervals up to a major third the sum of which equals 12:

Topology 6.1 1,2,2,2,2,3 (6-note scales with 1 minor third)

Topology 6.2. 1,1,2,2,3,3 (6-note scales with 2 minor thirds)

Topology 6.3 1,1,2,2,2,4 (6-note scales with 1 major third)

Topology 6.4 1,1,1,2,3,4 (6-note scales with 1 minor and 1 major third)

Topology 6.5 1,1,1,3,3,3 (6-note scales with 3 minor thirds)

Topology 6.6 1,1,1,1,4,4 (6-note scales with 2 major thirds)

Topology 6.7 2,2,2,2,2,2 (the Whole Tone Scale)

Of the 6-note scales, only topologies 6.1–6.4 include a few useful or interesting scales. Quite a few of them are just ordinary pentatonic scales with an extra note or conventional 7-note scales with one note omitted.

Topology 6.5 includes the Augmented Scale (313131) and its one mode (131313). Topology 6.6 is included only to provide a complete accounting of possible 6-note scales. Topology 6.7 is the Whole Tone Scale.

Five-note (pentatonic) scales

Every permutation of combinations of five intervals up to a major third the sum of which equals 12, except 2,2,2,2,4 (Whole Tone Scale with one note missing):

Topology 5.1 2,2,2,3,3 (5-note scales with 2 minor thirds)

Topology 5.2 1,2,2,3,4 (5-note scales with 1 minor and 1 major third)

Topology 5.3 1,1,2,4,4 (5-note scales with 2 major thirds)

Topology 5.4 1,1,3,3,4 (5-note scales with 1 major and 2 minor thirds)

Topology 5.1 comprises two families of pentatonic scales (10 scales total). The first includes the pentatonic minor and its modes—scales known to just about every rock and blues player on the planet. The second family includes the “pentatonic lydian” and its modes, which can add interest to solos when mixed with the pentatonic minor and its modes.

3

Topologies 5.2 and 5.3 include pentatonic scales that are redacted modes (e.g., the Phrygian mode with no 3rd and 6th scale tones; the Lydian mode with no 2nd and 5th scale tones). Topology 5.4 is included only to provide a full accounting of the possible 5-note scales.

Eight-note (octatonic) scales

Of the possible 8-note topologies, I’ve included only two:

Topology 8.1 1,1,1,1,2,2,2,2 (8-note scales with no major or minor third)

Topology 8.2 1,1,1,1,1,2,2,3 (8-note scales with a minor third)

Topology 8.1 yields the Diminished scale (21212121) and the Bebop scales, which are conventional 7-note scales with an added note. At best, topology 8.2 yields some chromatically embellished pentatonics. Other possible 8-note topologies (e.g., 1,1,1,1,1,1,2,4 and 1,1,1,1,1,1,3,3) yield excessively chromatic scales and are not included.

Page layouts

Parent scales

Numbered parent scales are plotted the length of 24 frets in the key of C. I mapped out the parent scales and all their modes in Part 1, but in Part 2, I generally mapped out just the parent scale or the parent scale and a few modes. In many cases, choosing which scale in a family to use as the parent scale was arbitrary.

Modes on the parent-scale pages are plotted in the articulations easiest for me to play. I have relatively small hands, and I favor horizontal scale patterns across two octaves with 3-fret stretches. Scale diagrams throughout the book reflect that limitation. Feel free to come up with your own best articulations. The scale diagrams give no indication which finger should play which note. You should be able to work out your own best solutions.

Numbering of scales is according to the index of scales at the back of the book, which I used as a guide in its compilation.

A blank scales page is included at the end of the book.

Note on scale names: Many scales are known by more than one name. When I could find names for some of the more unusual scales, I used them. However, I made no effort to determine, for example, whether Hungarian Major is more standard nomenclature than Lydian dominant #2, Mixolydian #9 #11, Lydian #2 b7, or Mixolydian #2#4, though all refer to the same sequence of intervals (3121212). Nor did I research non-English scales names (Japanese, Indian, Balinese, etc).

Chords

The first thirty-eight 7-note parent scales (Part 1) include a selection of chords for each scale tone.

All of the selected chords are named off the 6th string and usually voiced as tightly as possible. These chords are

just a starting point, i.e., there are a lot of ways to make a C7 chord. I acknowledge that some of the chord names may be “nonstandard,” but that’s the way I notate, understand, and use them. Wherever the same chord form (e.g., m7) is associated with more than one note in the scale, I’ve shown the first instance and then noted the others in parentheses. Layouts of the 5-note, 6-note, and 8-note scales do not include chord forms; neither do the 7-note scales containing major thirds.

A blank chords page is included at the end of the book.

I hope you find this book useful. If you have any questions, comments, or suggestions, please feel free to email me at [email protected] or [email protected].

4

mailto:[email protected]

Part 1: Generally useful scales

Parent scales and all their modes are mapped in this section.

Seven-note scales include a selection of chords.

5

Topology 5.1 (2,2,2,3,3) 5-note scales with three whole tones and two minor thirds

6

1. Pentatonic Minor: 32232*

I used the pentatonic minor as the parent scale of this family because I think it’s the “pattern” most familiar to most guitar players.

2. Pentatonic Major 5. Ritusen

III†

V

VII

VIII

X

3. Yo

XII

XV

XVII

XX 4. Man Gong

XXII

XXIV

* Intervallic structure, ie, the number of half-steps (semitones) between notes. † Roman numerals = fret numbers.

7

6. Pentatonic Lydian: 22233* with a flatted 5th)

I’m sure there are many ways to use the pentatonic lydian (a name I made up), but for a start, try it as a substitute for the 2nd degree of the pentatonic minor. For example, in a blues in A,where you might ordinarily use the A pentatonic minor, try interspersing C pentatonic lydian.

7. 22332 10. 32223

III†

V

VII

VIII

X

8. 23322

XII

XV

XVII

XX 9. 33222

XXII

XXIV

* Intervallic structure, ie, the number of half-steps (semitones) between notes. † Roman numerals = fret numbers.

8

Topology 7.1 (1,1,2,2,2,2,2) 7-note scales with two half tones and five whole tones

9

11. The Major Scale (Ionian Mode): 2212221*

12. Dorian ‡ 15. Mixolydian

III†

V

VII

VIII

X 13. Phrygian ‡ 16. Aeolian ‡

XII

XIII

XV

XVII

14. Lydian § 17. Locrian

XX

XXII

XXIV

* Intervallic structure, ie, the number of half-steps (half tones) between notes. † Roman numerals = fret numbers. ‡ Incorporates Pentatonic Minor 32232 § Incorportes Pentatonic Lydian 22233

10

Selected C Major Scale chords (2212221)* C∆6 (F) C∆7 (F) C∆9 (F) C6/9 (F) D119 (G,A)

Dm6 Dm7 (E, A) Dm911 (A) Dm11 (E, A, B) Dm6/9

Em7+5 (A, B) Emb9 F+11 F+11b5 F∆7b5

G9 G11 G13 Bm7b5 Bm7b5b13

Bm7 (D, E, A)

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

11

18. Melodic Minor (Jazz Minor): 2122221*

19. Dorian b2 ‡ 22. Mixolydian b6

III†

V

VII

VIII

X

20. Lydian #5 § 23. Semilocrian

XII

XV

XVII

XX 21. Lydian b7 § 24. Superlocrian

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232 § Incorportes lydian pentatonic 22233

12

Selected C Melodic Minor chords*** Cm6 (D) Cm6/9 C∆7+9 Dm7 Dmb9

Eb6/9 (F) Eb∆7b5 Eb∆7+5 F+11b5 (Eb) F+11

F9 (G) F13 F6/9 G11 G7+5

G119 (A) Am911 Am7b5 Am7b5b13 B7b9

B+9


13

25. Neapolitan Major: 1222221*

26. Leading Whole Tone 29. Major Locrian

III†

V

VII

VIII

X

27. Lydian #5 b7 § 30. Semilocrian b4

XII

XV

XVII

XX 28. Lydian b6 b7 31. Superlocrian bb3

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. § Incorporates lydian pentatonic 22233

14

Selected C Neapolitan Major chords* Cm∆7 Cm6 Cmb9 Db9 (all but C) Db∆7b5

Db∆7+5 Db7b5 (all but C) Db7+5 (all but C) Eb6/9 F9

Am7b5 Am7b5b13 Am7+5 Am9 A+9

B7b9


15

[page intentionally blank]

16

Topology 7.2 (1,1,1,2,2,2,3) 7-note scales with three half tones, three whole tones, and one minor third

17

32. Neapolitan Minor: 1222131*

33. Lydian #6 36. Locrian #3

III†

V

VII

VIII

X

34. Mixolydian #5 37. Ionian #2

XII

XV

XVII

XX 35. Hungarian Gypsy 38. Ultralocrian bb3§

XXII

XXIV


18

Selected C Neapolitan Minor chords*

C∆7+9 Db∆7 (Ab) Db9 Db∆7b5 Eb9

Eb11 (G) Eb119 Eb13 Eb7+5 (G) Eb6/9 (B)

Fm7b5 Fm7b5b13 Fm7+5 G7b5 G7b9

Abm6 Ab∆7+9 B+11b5


19

39. Harmonic Major: 2212131*

40. Dorian b5 43. Mixolydian b2

III†

V

VII

VIII

X

41. Phrygian b4 44. Lydian #2 #5

XII

XV

XVII

XX 42. Lydian b3 45. Locrian b7

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

20

Selected C Harmonic Major chords* C∆ C∆7 C∆7+5 C∆9 Dm6 (B)

Dm6/9 Dm7b5 D+11b5 D119 Dm11

Dm911 Em7 Em7+5 E+9 Fmb5∆7 (Ab)

F∆7+9 Fm6 G7b9 G11 G13

Ab∆7b5 Ab∆7+9 Bm6+5 Dm7 (E)


21

46. Harmonic Minor: 2122131*

47. Locrian #6 50. Phrygian #3

III†

V

VII

VIII

X

48. Ionian #5 51. Lydian #2

XII

XV

XVII

XX 49. Romanian 52. Ultralocrian

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

22

Selected C Harmonic Minor chords*

C∆7+9 Dm7 (F) Dm7b5 (F) Dm11 Dm6 (B)

D° (F, Ab, B) Eb∆7 Eb6/9 F+11b5 F+11

Fm6 (Ab) Fm6/9 Fm7 G11 G7+5

Ab∆7 Ab∆7b5 Ab∆7+9 Ab∆6+9 (B) Bm6+5

Eb∆9


23

53. Hungarian Major: 3121212*

54. Superlocrian bb6bb7 57. Melodic minor #5

III†

V

VII

VIII

X

55. Harmonic minor b5 58. Dorian b2#4

XII

XV

XVII

XX 56. Superlocrian #6 59. Lydian augmented #3

XXII

XXIV


24

Selected C Hungarian Major chords*

Cm6 (D#, A) Cm7 (A) Cm7b5 (F#, A) C+9 (F#) C° (D, F#)

C13 (F#) C∆6+9 (D#, F#) C7b5 (F#) D#∆6 Em∆7b5

F#7b9 F#m6 (G) Gm6+5 Gm6/9 Amb9 (D#)

Bb+11b5


25

60. Phrygian #4: 1231122*

61. Lydian #3 64. Locrian #7

III†

V

VII

VIII

X

62. Mixolydian #2 ‡ 65. Ionian #6

XII

XV

XVII

XX 63. Aeolian #1 66. Dorian #5

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232 § Incorporates lydian pentatonic 22233

26

Selected C Phrygian #4 chords* Cm7 Cm7b5 Cm7b5b13 Cmb9 Cm7+5

Db+11b5 (F#) Db+11 (F#) Ebm11 (Bb) Eb+9 Eb13

Ebm6 Eb∆6+9 F#6/9 Gm∆7b5 Ab9

Ab11 Ab119 Ab∆7 Bbm911 Bbm7

Bbm6 Bbm6+5 Bbm6/9


27

67. Ionian b2: 1312221*

68. Dorian b1 71. Mixolydian b5 §

III†

V

VII

VIII

X

69. Phrygian b7 72. Aeolian b4

XII

XV

XVII

XX 70. Lydian b6 73. Locrian b3

XXII

XXIV


28

Selected C Ionian b2 chords* C∆7 (F) Db∆7 Db∆7b5 Db+9 (A) Db7b5 (G)

Db7+5 (A) Dbm7 (A) Dbm7b5b13 Db∆7 b5+9 Dbm7+5 (A)

Db∆7+9 Em6 Em6+5 Emb9 G9

G13 G+11b5 G119 G6/9 Am7

Am9


29

74. Lydian b2: 1321221*

75. Mixolydian b1 78. Ionian b5 §

III†

V

VII

VIII

X

76. Aeolian b7 79. Dorian b4

XII

XV

XVII

XX 77. Locrian b6 ‡ 80. Phrygian b3

XXII

XXIV


30

Selected C Lydian b2 chords* C∆7 C∆7b5 Dbm7 Dbm7b5 (F#) Dbm7b5b13

Dbm7+5 Em6/9 F#m7 (A) F#mb9 G6/9

G∆7 G+11b5 A9 A13 A6/9

Am6 (E) Am9 A+9 B119 Em6+5


31

81. Lydian Diminished: 2132121*

82. 1321212 85. 1212132

III†

V

VII

VIII

X

83. 3212121 86. 2121321

XII

XV

XVII

XX 84. 2121213 87. 1213212

XXII

XXIV


32

Selected C Lydian Diminished chords* C+11b5 (F#, A) Cmb5∆7 (Eb, A) Cm6 (Eb, F#, A) Cm6+5 (Eb, F#) Cm6/9 (F#, A)

D7b5 (G#) D7b9 (G#, B) D13 (B) Eb° (F#, A) G#m7 (B)

G#m7b5 G#+9 (B) Bmb9 Bm6 B∆6+9


33

88. Scala Enigmata: 1322211* Some sources show the F# as an F natural in the descending articulation of this scale.

89. 3222111 ‡ 92. 2111322

III†

V

VII

VIII

X

90. 2221113 § 93. 1113222

XII

XV

XVII

XX 91. 2211132 94. 1132221

XXII

XXIV


34

Selected C Scala Enigmata chords* C∆7b5 C7b5 (F#) C7+5 (G#) C7b9 Dbm6

Dbm11 (G#) Dbm7 E+11b5 E+11 E6/9

F#11 (G#) F#119 (G#) F#9 G#+9 G#m7+5 (A#)

G#m911 G#9 A#m7 A#m7b5 A#m7b5b13


35

95. 2122311*

96. 1223112 99. 3112122 ‡

III†

V

VII

‡ VIII

X

97. 2231121 100. 1121223

XII

XV

XVII

XX 98. 2311212 101. 1212231

XXII

XXIV


36

Selected C 2122311 chords* Cm7 (G) Cm911 Cm11 (D, G) C7+9 C119 (F)

Dm7+5 (G) Dm6 Dm6+5 Eb6 Eb

7

Eb7+5 Eb6/9 (A#) Eb

9 F+11 F+11b5

G11 G7+5 G+9 B7b5 B7+9

B7 b5+9

*Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

37

102. 1231221*

103. 2312211 106. 2211231

III†

V

VII

VIII

X

104. 3122112 107. 2112312 §

XII

XV

XVII

XX 105. 1221123 108. 1123122

XXII

XXIV


38

Selected C 1231221 chords* Cm∆7 Cm∆7b5 Cm6 (F#) Cmb9 (F#) C° (Eb, F#, A)

Db119 Eb+9 (A) Ebm7b5 (A) Ebm7b5b13 Ebm7+5

Ebm6+5 Eb7b5 (A) Eb7+5 Eb∆6+9 (A) G∆7b5

G∆7+5 A9 Am6 Am9 Am6/9

B7b9 B9


39

109. 1321122*

110. 3211221 113. 1221321

III†

V

VII

VIII

X

111. 2112213 § 114. 2213211

XII

XV

XVII

XX 112. 1122132 115. 2132112

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. § Supports Lydian Pentatonic 22233

40

Selected C 1321122 chords* C7b5 (F#) C7+5 (Ab) C7b9 (F#) Dbm6 Dbm∆7

Dbmb5∆7 (G) Em6 (G, Bb) Em6+5 (Bb) Em6/9 (Bb) E+11b5

E6/9 E∆6+9 F#9 Ab9 Ab∆9

Ab11 Bbm7+5 Bbm9 Bbm7b5 Bbm7b5b13


41

116. 2211123*

117. 2111232 ‡ 120. 1232211

III†

V

VII

§ VIII

X

118. 1112322 121. 2322111

XII

XV

XVII

XX 119. 1123221 122. 3221112 ‡

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates Pentatonic Minor 32232 §Incoporates Pentatonic Lydian 22233

42

Selected C 2211123 chords* C6/9 (F) C∆6 C+11 C+11b5 D+9

D11 D119 (E, G) Dm7 (A) Dm11 (E, A) Em7+5 (Gb, A)

F∆7 Gbm∆7b5 Gbm7b5 Gbm7b5b13 Am6

Am6+5 Am7 (D)


43

123. 1222311*

124. 2223111 § 127. 3111222

III†

V

VII

‡ VIII

X

125. 2231112 128. 1112223

XII

XV

XVII

XX 126. 2311122 129. 1122231

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡Incorporates pentatonic minor 32232 § Incorporates lydian pentatonic 22233

44

Selected C 1222311 chords* Cm7 Cm∆7 Cm11 (G) Cmb9 (A#) Db∆7b5 (B)

Db6/9 (Eb) Db7b5 Db9 (Eb) Db13 (Eb) Eb7+5 (G)

Eb∆6 Eb9 Eb6/9 F119 Gm7+5

G+9 Gm7b5 Gm7b5b13 A#m6 A#m6/9


45

130. 2112231*

131. 1122312 134. 2312112

III†

V

VII

VIII

X

132. 1223121 135. 3121122

XII

XV

XVII

XX

133. 2231211 136. 1211223

XXII

XXIV


46

Selected C 2112231 chords* C∆7b5 C∆7b5+9 C∆7+9 D7b5 (G#) D9

D13 D7b9 Ebm6 (B) Ebm6+5 E∆7

E∆7+5 E∆9 (C) E7+5 (G#) E9 F#+11b5

F#119 G#m7 G#m7b5 G#m7b5b13 G#m7+5

G#+9 Bm6 Bmb9


47

137. 1112232*

138. 1122321 § 141. 2321112

III†

V

VII

‡ VIII

X

139. 1223211 142. 3211122 ‡

XII

XV

XVII

XX

140. 2232111 143. 2111223

XXII

XXIV


48

Selected C 1112232 chords* Cm7 (G) C119 (F) Cm911 Cmb9 Cm11 (D, G)

Db∆7 Db∆7b5 Db6/9 Db+11b5 Dm7

Dm7+5 (G) Eb∆6 (A#) Eb∆7 Eb∆9 Eb6/9

Gm7b5 Gm7b5b13 A#m6/9 A#6/9


49

144. 1211232*

145. 2112321 § 148. 2321211

III†

V

VII

‡ VIII

X

146. 1123212 149. 3212112

XII

XV

XVII

XX 147. 1232121 150. 2121123

XXII

XXIV


50

Selected C 1211232 chords*

C+9 Cm7 Cm11 (G) Cmb9 C11

C7b9 (Eb) Db° (E, G, A#) Db6/9 Db∆7b5+9 Dbm6 (E, G)

Db∆7+9 Db+11b5 (A#) Db∆7b5 Eb6/9 Eb9

Em6+5 (G) F119 Gm7b5 Gm7+5 A#+11

A#m6 A#m6/9


51

151. 1121232*

152. 1212321 155. 2321121

III†

V

VII

VIII

X

153. 2123211 156. 3211212 ‡

XII

XV

XVII

XX

154. 1232112 157. 2112123 §

XXII

XXIV


52

Selected C 1121232 chords* C9 C119 (D) C11 C7b9 Db° (E, G, A#)

Db∆7b5+9 Dbm6 (E) Db∆7 Db∆7b5 Db∆7+9

Dm7 Dm7+5 Dm911 Dm11 (G) Em7b5 (G)

Em7b5b13 Gm6 (A#) A#6/9 A#m6/9


53

158. 2211213*

159. 2112132 162. 2132211

III†

V

VII

§ VIII

X

160. 1121322 163. 1322112

XII

XV

XVII

XX 161. 1213221 164. 3221121

XXII

XXIV


54

Selected C 2211213 chords* C+11b5 C6/9 Dm7b5 (Gb) Dm7 Dm9 (Gb)

D+9 D7b5 (Ab) E7b9 (Ab) E11 E7+5 (Ab)

E11 E119 F∆6 F∆7 F∆7+9

F∆7+9 (A) Fm6 (A) Fmb9 Gbm7 Gbm7b5b13

Gbm∆7b5 Ab13 Am6+5


55

165. 2212113*

166. 2121132 ‡ 169. 1132212

III†

V

VII

VIII

X

167. 1211322 170. 1322121

XII

XV

XVII

XX 168. 2113221 171. 3221211 ‡

XXII

XXIV


56

Selected C 2212113 chords* C6/9 (F) C∆6 (F) Dm7 (A) Dm7b5 Dm11 (E, A)

Dm911 Em7 Em7+5 (A) E7b9 F∆9

Fm6/9 F∆7+9 (A) F∆7 F∆7+9 Ab∆7b5

Ab∆7+5


57

[page intentionally blank]

58

Topology 7.3 (1,1,1,1,2,3,3) 7-note scales with 4 half tones, 1 whole tone, and 2 minor thirds

59

172. Hungarian Minor: 2131131*

173. Oriental 176. Double harmonic

III†

V

VII

VIII

X

174. Ionian augmented #2 177. Lydian #2 #6

XII

XV

XVII

XX 175. Locrian bb3 bb7 178. Ultraphrygian

XXII

XXIV


60

Selected C Hungarian Minor chords*

Cmb5∆7 (Ab) Cm∆7 (Ab7+9) D7b5 (Ab) D11 D13

D7b9 Eb∆7 Eb∆7+5 (G) Eb∆7+9 (Ab) Ebm6 (B)

Ebm6+5 (B) F#+11b5 G∆7 (Ab) Abm7 Abm7b5

Ab+9 B∆6 B∆6+9 Bmb9


61

179. 1321131*

180. 3211311 ‡ 183. 1311321

III†

V

VII

VIII

X

181. 2113113 184. 3113211

XII

XV

XVII

XX 182. 1131132 185. 1132113

XXII

XXIV


62


C∆7 C∆7b5 (G) C∆7+5 Dbm7 Dbm7b5

Dbm∆7 Dbm∆7b5 Dbm11 (Ab) E∆6 E∆6+9

Em6 Em6+5 E6/9 Em6/9 F#119

Ab∆7+9 Abm7 Abm7+5 Ab7+5 Ab+9

*Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

63

186. 1231131*

187. 2311311 190. 1311231

III†

V

VII

VIII

X

188. 3113112 191. 3112311 ‡

XII

XV

XVII

XX 189. 1131123 192. 1123113

XXII

XXIV


64


Cm∆7 (Ab7+9) Cm∆7b5 Cmb9 Db119 Eb7+5

Ebm11 (Ab) Ebm6 Ebm6+5 Eb+9 (Ab) Eb11 (Ab)

Eb13 Ebm7+5 F#+11b5 F#+11 G∆7 (Ab)

G∆7b5 Abm7 Ab∆7 Ab∆7+9 B∆6

B6/9


65

193. 1111233*

194. 1112331 197. 2331111

III†

V

VII

§ VIII

X

195. 1123311 198. 3311112

XII

XV

XVII

XX 196. 1233111 199. 3111123

XXII

XXIV


66

Selected C 1111233 chord

C 6/9 Cm6 (Eb, F#, A) Cm6/9 C° (Eb, F#, A) C∆6+9 (A)

C+11b5 D∆7 D9 D7b9 D∆7

Ebm7 Ebm7b5 Ebmb5∆7 E119 F#m6+5

F#m7 F#m7b5 F#m7b5b13 F#m7+5 A∆6


67

200. 1111323*

201. 1113231 204. 3231111

III†

V

VII

VIII

X

202. 1132311 205. 2311113

XII

XV

XVII

XX 203. 1323111 206. 3111132 ‡

XXII

XXIV


68


C∆6 C 6/9 C∆6+9 Cm6 Cm6/9

Cmb9 Dbm b5∆7 D119 Eb∆7 Eb∆7b5

Em6 Em6+5 Em7+5 Em11 (A) G+11

G+11b5 Am7 Am7b5 A7b5 A+9

A11


69

207. 1111332*

208. 1113321 211. 3321111

III†

V

VII

VIII

X

209. 1133211 212. 3211113

XII

XV

XVII

XX 210. 1332111 213. 2111133 §

XXII

XXIV


70

Selected C 1111332 chords* Cmb9 Cm7 C9 C+9 C7b9 (Eb)

Dbm6 (E, G) Db° (E, G, Bb) Dbm6/9 (Bb) Dbmb5∆7 (E) Db+11b5 (Bb)

D119 Eb∆6 Eb∆7 Em6+5 (G) Em7

Em7b5 Em7b5b13 Em7+5 Bb6/9 Bb∆6+9


71

214. 1112133*

215. 1121331 218. 1331112

III†

V

VII

VIII

X

216. 1213311 219. 3311121

XII

XV

XVII

XX 217. 21133111 220. 3111213

XXII

XXIV


72


Cm6 (Eb, Gb, A) Cm6/9 (Eb) C+11b5 (Eb) Db∆7 (D) Db∆7+5

Db∆9+5 Dmb9 D∆7+9 (Gbm7) Dm7 D7b9 (F)

D+9 D∆7 Ebm7 Ebm7b5 Ebmb5∆7 (Gb)

Eb° (Gb, A) F∆6 F∆6+5 (A) F7+5 Gbm6+5 (A)

A∆6+9


73

221. 1112313*

222. 1123131 225. 3131112

III†

V

VII

VIII

X

223. 1231311 226. 1311123

XII

XV

XVII

XX 224. 2313111 227. 3111231

XXII

XXIV


74


Cm6 (F) Cm6+5 (F) Cm6/9 Db∆7 Db∆7+5

Db∆9+5 Dm7 (F) Dm7b5 Dm∆7 Dmb5∆7 (A7b5+9)

Eb+11b5 F∆6 (G#) F∆6+5 F∆6+9 Fm7+5

F+9 F7+5 A∆7 A∆7b5 A∆7+5

A∆7+9


75

228. 1113123*

This scale lends itself more to vertical (up-down the neck) than horizontal (across the neck) articulation; you should feel free to develop patterns best suited to your own style of playing.

228. alternative 232. alternative

III†

V

VII

VIII

X

XII

XV

XVII

XX 232. 1231113

XXII

XXIV


76


Cm6 (F#) Cmb9 (F#) Cm6/9 C° (F#, A) C+11

C+11b5 D7b9 D11 (A) D∆7 Ebm7 (A)

Ebm7b5 (A) Eb∆7b5+9 Eb∆6+9 (A) Eb∆7b5 Eb+9 (A)

Ebm6 (F#,A) F#m6+5 Am11


77

235. 1113132*

236. 1131321 239. 1321113

III†

V

VII

VIII

X

237. 1313211 240. 3211131

XII

XV

XVII

XX 238. 3132111 241. 2111313

XXII

XXIV


78


Cm7 (Eb) Cm7b5 Cmb9 D7+5 D∆7+5

Eb7+9 Ebm6 (Bb) Eb+9 Eb∆7+9 (Gm7) Eb∆7

Eb∆7+9 Eb∆6 (F#) Eb∆6+9 (Bb) Bb∆6+5 Bbm6/9

Bb6/9


79

242. 1113213

242. alternative 246. alternative

III†

V

VII

VIII

X

XII

XV

XVII

XX 246. 2131113

XXII

XXIV


80


Cm6 (Eb, F#, A) Cm6+5 (F#) Cm6/9 (F#) C+11b5 (F#) D∆7

D∆7b5 (A) D7b9 (G#) D7b5 (G#) Ebm7 Ebm7b5

Ebmb5∆7 (A) Ebm11 Eb° (F#, A) F#+11 G#11

F#m6 A∆6+9 A∆7 A∆7+9


81

249. 1113312*

250. 1133121 253. 3121113

III†

V

VII

VIII

X

251. 1331211 254. 1211133

XII

XV

XVII

XX 252. 3312111 255. 2111331

XXII

XXIV


82


Cm6 (Eb, F#, A) Cm6/9 Cm7 Cm7b5 (Eb) C+11b5

C° (Eb, A) D7b9 D7+5 D∆7 D∆7+5 (Bb)

Ebm∆7 Ebm∆7b5 Ebm7 Ebm6 (F#) F#∆6

F#∆6+5 F#m6+5 F#∆6+9 (A) Bb∆7+9 Bb∆9


83

256. 1121133*

257. 1211331 260. 1331121

III†

V

VII

§ VIII

X

258. 2113311 261. 3311211

XII

XV

XVII

XX 259. 1133112 262. 3112113

XXII

XXIV


84


C6/9 C+11b5 Db∆7 (F) Db∆7+5 (F) Db∆7+9

Dm7 (Gb) Dm∆7 (Gb) D9 D+9 D∆7 (F)

E119 Gbm7+5 Gbm7b5 Am6 Am6+5

A∆6+9 A∆6 A∆6+5


85

263. 3131121*

This scale lends itself more to vertical (up-down the neck) than horizontal (across the neck) articulation; you can develop patterns best suited to your own style of playing.

264. 1311213 269. 1313112

III†

V

VII

VIII

X

266. 1121313

XII

XV

XVII

XX 268. 2131311

XXII

XXIV


86


C∆7 (E, G#) C∆7+5 (E, G#) C∆6+9 Cm6 Cm6+5

C∆7+9 (E, G#) E∆7 E∆7+9 (G#) Am∆7 G6/9

Am7 Am7b5 Am∆7b5 B7+5 B11


87

270. 1131312*

270. alternative 273. 1312113

III†

V

VII

VIII

X

275. 1211313

XII

XV

XVII

XX

XXII

XXIV


88


C+11b5 C119 Db∆7 Db∆7+5 (D, Gb, Bb) D+9

Dm7 Dm7+5 D∆7 (Gb, Bb) Gb∆7+9 (Bb) Gb∆7b5+9

Gb∆7b5 Am6 Am6+5 A∆6+9


89

Part 2: somewhat less useful and in some cases downright useless scales

Parent scales are mapped the full length of 24 frets, but in many cases, I did not bother to plot

the individual modes.

90

Topology 5.2 (1,2,2,3,4) 5-note scales with one half tone, two whole tones, and a minor and a major third

91

277. 12234*

281. 41223

III†

V

VII

VIII

X

XII

XV

XVII

XX 280. 34122

XXII

XXIV


92

282. 12243*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


93

287. 12324*

III†

V

VII

VIII

X

XII

XV

XVII

XX 290. 24123

XXII

XXIV


94

292. 12342*

III†

V

VII

VIII

X

XII

XV

XVII

XX 295. 42123

XXII

XXIV


95

297. 12423*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


96

302. 12432*

III†

V

VII

VIII

X

XII

XV

XVII

XX 305. 32124

XXII

XXIV


97

307. 13224*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


98

312. 13242*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


99

317. 13422*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


100

322. 14223*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


101

327. 14232*

III†

V

VII

VIII

X

XII

XV

XVII

XX 330. 32142

XXII

XXIV


102

332. 14322*

334. 32214

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


103

Topology 5.3 (1,1,2,4,4) 5-note scales with two half tones, one whole tone, and two major thirds

104

337. 11244*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


105

342. 11424*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


106

347. 11442*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


107

352. 12144*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


108

357. 12414*

III†

V

VII

VIII

X

XII

XV

XVII

XX 360. 14124

XXII

XXIV


109

362. 14142*

364. 14214

III†

V

VII

VIII

X

3

XII

XV

XVII

XX

XXII

XXIV


110

Topology 5.4 (1,1,3,3,4) 5-note scales with two half tones, two minor thirds, and one major third

111

367. 11334*

371. 41133

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


112

372. 11343*

III†

V

VII

VIII

X

374. 34311

XII

XV

XVII

XX

XXII

XXIV


113

377. 11433*

III†

V

VII

VIII

X

XII

XV

XVII

XX 380. 33114

XXII

XXIV


114

382. 13134*

III†

V

VII

VIII

X

XII

XV

XVII

XX 385. 34131

XXII

XXIV


115

387. 13143*

391. 31314

III†

V

VII

VIII

X

XII

XV

XVII

XX 390. 43131

XXII

XXIV


116

392. 13314*

393. 33141 396. 41331

III†

V

VII

VIII

X

394. 31413

XII

XV

XVII

XX 395. 14133

XXII

XXIV


117

Topology 6.1 (1,2,2,2,2,3) 6-note scales with one half tone, four whole tones, and one minor third

118

397. 122223*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


119

403. 223212*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


120

409. 223221*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


121

415. 222123*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


122

421. 132222*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


123

Topology 6.2 (1,1,2,2,3,3) 6-note scales with two half tones, two whole tones, and two minor thirds

124

427. 112233*

431. 331122

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


125

433. 112323*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


126

439. 112332*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


127

445. 121233*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


128

451. 121323*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


129

457. 121332*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


130

463. 211323*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


131

469. 211332*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


132

475. 223113*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


133

481. 131223*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


134

487. 131232*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


135

493. 131322*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


136

499. 221331*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


137

505. 212313*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


138

511. 123123*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


139

514. 132132*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


140

Topology 6.3 (1,1,2,2,2,4) 6-note scales with two half tones, three whole tones, and one major third

141

517. 112224*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


142

523. 112242*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


143

529. 112422*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


144

535. 114222*

539. 221142

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


145

541. 121224*

III†

V

VII

VIII

X

543. 122412 546. 412122

XII

XV

XVII

XX

XXII

XXIV


146

547. 121242*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


147

553. 121422*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


148

559. 124122*

III†

V

VII

VIII

X

562. 122124

XII

XV

XVII

XX

XXII

XXIV


149

565. 122142*

III†

V

VII

VIII

X

XII

XV

XVII

XX 568. 142122

XXII

XXIV


150

571. 122214*

575. 141222

III†

▪V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


151

Topology 6.4 (1,1,1,2,3,4) 6-note scales with three half tones, one whole tone, one minor third, and one major third

152

577. 111234*

III†

V

VII

VIII

X

579. 123411 582. 411123

XII

XV

XVII

XX

XXII

XXIV


153

583. 111243*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


154

589. 111324*

589. alternative 593. 241113

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


155

595. 111342*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


156

601. 111423*

605. 231114

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


157

607. 111432*

611. 321114

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


158

613. 112134*

III†

V

VII

VIII

X

615. 213411

XII

XV

XVII

XX

XXII

XXIV


159

619. 112143*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


160

625. 112314*

626. 123141 629. 141123

III†

V

VII

VIII

X

627. 231411 630. 411231

XII

XV

XVII

XX 628. 314112

XXII

XXIV


161

631. 112413*

632. 124131

III†

V

VII

VIII

X

633. 241311 635. 131124

XII

XV

XVII

XX 634. 413112

XXII

XXIV


162

637. 113124*

640. 124113 642. 411312

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


163

643. 113142*

644. 131421 647. 421131

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


164

649. 113214*

649. alternative

III†

V

VII

VIII

X

653. 141132

XII

XV

XVII

XX

XXII

XXIV


165

655. 113412*

III†

V

VII

VIII

X

656. 134121 659. 121134

XII

XV

XVII

XX 657. 341211 660. 211341

XXII

XXIV


166

661. 114123*

665. 231141

III†

V

VII

VIII

X

663. 412311

XII

XV

XVII

XX 664. 123114

XXII

XXIV


167

667. 114132*

671. 321141

III†

V

VII

VIII

X

669. 413211

XII

XV

XVII

XX 670. 132114

XXII

XXIV


168

673. 114213*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


169

679. 114312*

III†

V

VII

VIII

X

681. 431211

XII

XV

XVII

XX

XXII

XXIV


170

685. 121314*

689. 141213

III†

V

VII

VIII

X

687. 131412 690. 412131

XII

XV

XVII

XX

XXII

XXIV


171

691. 121413*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


172

Topology 6.5 (1,1,1,3,3,3) 6-note scales with three semitones and three minor thirds

173

697. 111333*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (semitones) between notes. †Roman numerals = fret numbers.

174

703. 113133*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


175

709. 113313*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


176

715. Augmented: 313131* The augmented scale and its one mode repeat at every

fourh fret (i.e., in major third intervals).

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


177

Topology 6.6 (1,1,1,1,4,4) 6-note scales with four half tones and two major thirds

178

718. 111144*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


179

724. 111414*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


180

730. 114114*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


181

Topology 6.7 (2,2,2,2,2,2) Whole Tone Scale

182

717. Whole Tone Scale (222222)*

The Whole Tone Scale and its modes are indistinguishable.

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


183

Topology 7.4 (1,1,1,1,2,2,4) 7-note scales with four half tones, two whole tones, and one major third

184

733. 1111224*

III†

V

VII

VIII

X

XII

XV

XVII

XX 739. 4111122

XXII

XXIV


185

740. 1111242*

III†

V

VII

VIII

X

745. 4211112

XII

XV

XVII

XX

XXII

XXIV


186

747. 1111422*

751. 4221111

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


187

754. 1112124*

III†

V

VII

VIII

X

XII

XV

XVII

XX 760. 4111212

XXII

XXIV


188

761. 1112142*

III†

V

VII

VIII

X

766. 4211121

XII

XV

XVII

XX

XXII

XXIV


189

768. 1112214*

773. 1411122

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


190

775. 1112412*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


191

782. 1114122*

786. 1221114

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


192

789. 1114212*

III†

V

VII

VIII

X

XII

XV

XVII

XX 791. 1421211 793. 2121114

XXII

XXIV


193

796. 1121124*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


194

803. 1121142*

III†

V

VII

VIII

X

808. 4211211

XII

XV

XVII

XX

XXII

XXIV


195

810. 1121214*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


196

817. 1121412*

III†

V

VII

VIII

X

819. 2141211

XII

XV

XVII

XX

XXII

XXIV


197

824. 1122114*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


198

831. 1141212*

III†

V

VII

VIII

X

833. 4121211

XII

XV

XVII

XX

XXII

XXIV


199

Topology 7.5 (1,1,1,1,1,3,4) 7-note scales with five half tones, one minor third, and one major third

200

838. 1111134*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


201

845. 1111143*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


202

852. 1111314*

III†

V

VII

VIII

X

XII

XV

XVII

XX 858. 4111131

XXII

XXIV


203

859. 1111413*

III†

V

VII

VIII

X

865. 3111141

XII

XV

XVII

XX 863. 4131111

XXII

XXIV


204

866. 1113114*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


205

873. 1141131*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


206

Topology 8.1 (1,1,1,1,2,2,2,2) 8-note scales with four half tones and four whole tones

207

880. Bebop major: 22121121*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


208

888. Bebop dominant: 22122111*

III†

V

VII

VIII

X

890. Bebop locrian

XII

892. Bebop dorian

XVII

XX

XXII

XXIV


209

896. Bebop minor: 21221121*

III†

V

VII

VIII

X

902. 21212211

XII

XV

XVII

XX

XXII

XXIV


210

904. 22121112*

905. 21211122

III†

V

VII

VIII

X

908. 11122212 ‡

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates Pentatonic Minor 32232

211

912. 22121211*

III†

V

VII

VIII

X

XII

XV‡

XVII

XX

XXII

XXIV


212

920. 22112112*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


213

928. 22111212*

III†

V

VII

VIII

X

930. 11121222 933. 21222111 ‡

XII

XV

XVII

XX 934. 12221112 ‡

XXII

XXIV


214

936. 22111122*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


215

944. 22112211*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


216

948. Diminished: 21212121* The Diminished Scale and its one mode repeat at every

third fret (i.e., in minor third intervals).

The incomplete articulations below yield a diminished feel across two octaves.

III†

V

VII

VIII

X

at C (tonic) at D

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, i.e., the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

217

Topology 8.2 (1,1,1,1,1,2,2,3) 8-note scales with five half tones, two whole tones, and a minor third

218

950. 11211213*

950. alternative

III†

V

VII

VIII

X

955. 21311211

XII

XV

XVII

XX 953. 11213112

XXII

XXIV


219

958. 11211312*

III†

V

VII

VIII

X

963. 31211211

XII

XV

XVII

XX 961. 11312112

XXII

XXIV


220

966. 11212113*

III†

V

VII

VIII

X

968. 21211311 ‡ 971. 11311212

XII

XV

XVII

XX 973. 31121211 ‡

XXII

XXIV


221

974. 11121123*

976. 12112311‡

III†

V

VII

VIII

X

980. 23111211

XII

XV

XVII

XX 978. 11231112 981. 31112112

XXII

XXIV


222

982. 11121132*

III†

V

VII

VIII‡

X

986. 11321112 988. 32111211 ‡

XII

XV

XVII

XX

XXII

XXIV


223

990. 11121213*

995. 21311121

III†

V

VII

VIII

X

996. 13111212

XII

XV

XVII

XX

XXII

XXIV


224

998. 11121312*

1003. 31211121

III†

V

VII

VIII

X

1004. 12111213

XII

XV

XVII

XX

XXII

XXIV


225

1006. 11122113*

1010. 21131112

III†

V

VII

VIII

X

1008. 12211311 ‡ 1011. 11311122

XII

XV

XVII

XX

XXII

XXIV


226

1014. 11123112*

1018. 31121112 ‡

III†

V

VII

VIII

X

1019. 11211123

XII

XV

XVII

XX

XXII

XXIV


227

1022. 11131122*

1026. 11221113

III†

V

VII

VIII

X

1027. 12211131

XII

XV

XVII

XX 1025. 31122111 ‡

XXII

XXIV


228

1030. 11131212*

III†

V

VII

VIII

X

1035. 21211131

XII

XV

XVII

XX

XXII

XXIV


229

1038. 11132112*

1042. 21121113

III†

V

VII

VIII

X

1043. 11211132

XII

XV

XVII

XX 1041. 32112111 ‡

XXII

XXIV


230

1046. 11112123*

1051. 12311112

III†

V

VII

VIII

X

XII

XV

XVII

XX 1053. 31111212‡

XXII

XXIV


231

1054. 11112132*

1059. 13211112

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


232

1062. 11112213*

III†

V

VII

VIII

X

1068. 13111122

XII

XV

XVII

XX

XXII

XXIV


233

1070. 11112312*

III†

V

VII

VIII

X

1076. 12111123

XII

XV

XVII

XX

XXII

XXIV


234

1078. 11113122*

III†

V

VII

VIII

X

XII

XV

XVII

XX 1085. 21111312

XXII

XXIV


235

1086. 11113212*

III†

V

VII

VIII

X

1092. 12111132 ‡

XII

XV

XVII

XX

XXII

XXIV


236

1094. 11111223*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


237

1102. 11111232*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


238

1110. 11111322*

III†

V

VII

VIII

X

XII

XV

XVII

XX

XXII

XXIV


239

harmonized scale tones The pages in this section lay out

the first 38 seven-note parent

scales on a chromatic grid and

identify the chord tones native to

each parent scale and its modes

through two octaves.

Generally speaking, chords are

derived from scales by selecting

every other note in the scale

across two octaves. This is how

scale notes are harmonized.

The example on the right is for

the Neapolitan Minor in C. Start

with any scale degree in the row

at the top of the grid (Roman

numerals), the shaded boxes

below show the associated chord

tones derived from the scale. The

shaded boxes under C, for

example, tell us the fully extended

chord native to the first note of

the Neapolitan minor scale would

include:

the root or tonic (C)

minor 3rd (Eb)

perfect 5th (G)

major 7th (B)

flatted 9th (Db)

unaltered 11th (F)

flatted 13th (Ab)

at least not on a guitar, but this chart tells

us some of the C chords that would support the C Neapolitan minor scale (Cm7 or Cm11, for example). The chart also

tells us the second mode of this scale, starting with Db, yields Db7, Db9, and Db+11. The third mode yields a Eb7+5.

And so on.

You can use the charts in this chapter to figure out what chords may work over the 7-note parent scales and modes in

part 1. rve the C-to-C

If you find any errors in these

charts, please let me know at [email protected] so I can fix them in subsequent versions of the book.

Thanks!

240

mailto:[email protected]

11. Major: 2212221*

Chord

tone

Scale tone

11. Major mode 12. Dorian mode 13. Phrygian mode

14. Lydian mode 15. Mixolydian mode

16. Aeolian mode 17. Locrian mode

I II III IV V VI VII

1 C D E F G A B

b9 C#/Db D#/Eb F F#/Gb G#/Ab A#/Bb C

9 D E F#/Gb G A B C#/Db

m3 D#/Eb F G G#/Ab A#/Bb C D

E F#/Gb G#/Ab A B C#/Db D#/Eb

4 F G A A#/Bb C D E

b5 F#/Gb G#/Ab A#/Bb B C#/Db D#/Eb F

5 G A B C D E F#/Gb

+5 G#/Ab A#/Bb C C#/Db D#/Eb F G

6 A B C#/Db D E F#/Gb G#/Ab

b7 A#/Bb C D D#/Eb F G A

B C#/Db D#/Eb E F#/Gb G#/Ab A#/Bb

1 C D E F G A B

b9 C#/Db D#/Eb F F#/Gb G#/Ab A#/Bb C

9 D E F#/Gb G A B C#/Db

+9 D#/Eb F G G#/Ab A#/Bb C D

3 E F#/Gb G#/Ab A B C#/Db D#/Eb

11 F G A A#/Bb C D E

+11 F#/Gb G#/Ab A#/Bb B C#/Db D#/Eb F

5 G A B C D E F#/Gb

b13 G#/Ab A#/Bb C C#/Db D#/Eb F G

13 A B C#/Db D E F#/Gb G#/Ab

b7 A#/Bb C D D#/Eb F G A

B C#/Db E F#/Gb G#/Ab A#/Bb

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

241

18. Melodic Minor: 2122221*

Chord

tone

Scale tone

18. Melodic Minor 19. Dorian b2 20. Lydian #5 21. Lydian b7 22. Mixolydian b6 23. Semilocrian 24. Superlocrian


1 C D Eb F G A B

b9 C#/Db D#/Eb E F#/Gb G#/Ab A#/Bb C

9 D E F G A B C#/Db

m3 D#/Eb F F#/Gb G#/Ab A#/Bb C D

E F#/Gb G A B C#/Db D#/Eb

4 F G G#/Ab A#/Bb C D E

b5 F#/Gb G#/Ab A B C#/Db D#/Eb F

5 G A A#/Bb C D E F#/Gb

+5 G#/Ab A#/Bb B C#/Db D#/Eb F G

6 A B C D E F#/Gb G#/Ab

b7 A#/Bb C C#/Db D#/Eb F G A

B C#/Db D E F#/Gb G#/Ab A#/Bb

1 C D D#/Eb F G A B

b9 C#/Db D#/Eb E F#/Gb G#/Ab A#/Bb C

9 D E F G A B C#/Db

+9 D#/Eb F F#/Gb G#/Ab A#/Bb C D

3 E F#/Gb G A B C#/Db D#/Eb

11 F G G#/Ab A#/Bb C D E

+11 F#/Gb G#/Ab A B C#/Db D#/Eb F

5 G A A#/Bb C D E F#/Gb

b13 G#/Ab A#/Bb B C#/Db D#/Eb F G

13 A B C D E F#/Gb G#/Ab

b7 A#/Bb C C#/Db D#/Eb F G A

B C#/Db D E F#/Gb G#/Ab A#/Bb


242

25. Neapolitan Major: 1222221*

Chord

tone

Scale tone

25. Neapolitan Major

26. Leading Whole Tone

27. Lydian #5b7 28. Lydian b6b7 29. Major Locrian 30. Semilocrian b4

31. Superlocrian bb3


1 C Db Eb F G A B

b9 C#/Db D E F#/Gb G#/Ab A#/Bb C

9 D D#/Eb F G A B C#/Db

m3 D#/Eb E F#/Gb G#/Ab A#/Bb C D

E F G A B C#/Db D#/Eb

4 F F#/Gb G#/Ab A#/Bb C D E

b5 F#/Gb G A B C#/Db D#/Eb F

5 G G#/Ab A#/Bb C D E F#/Gb

+5 G#/Ab A B C#/Db D#/Eb F G

6 A A#/Bb C D E F#/Gb G#/Ab

b7 A#/Bb B C#/Db D#/Eb F G A

B C D E F#/Gb G#/Ab A#/Bb

1 C C#/Db D#/Eb F G A B

b9 C#/Db D E F#/Gb G#/Ab A#/Bb C

9 D D#/Eb F G A B C#/Db

+9 D#/Eb E F#/Gb G#/Ab A#/Bb C D

3 E F G A B C#/Db D#/Eb

11 F F#/Gb G#/Ab A#/Bb C D E

+11 F#/Gb G A B C#/Db D#/Eb F

5 G G#/Ab A#/Bb C D E F#/Gb

b13 G#/Ab A B C#/Db D#/Eb F G

13 A A#/Bb C D E F#/Gb G#/Ab

b7 A#/Bb B C#/Db D#/Eb F G A

B C D E F#/Gb G#/Ab A#/Bb


243

32. Neapolitan Minor: 1222131*

Chord

tone

Scale tone

32. Neapolitan Minor

33. Lydian #6 34. Mixolydian #5 35. Hungarian Gypsy

36. Locrian #3 37. Ionian #2 38. Ultrlocrian bb3


1 C Db Eb F G Ab B

b9 C#/Db D E F#/Gb G#/Ab A C

9 D D#/Eb F G A A#/Bb C#/Db

m3 D#/Eb E F#/Gb G#/Ab A#/Bb B D

E F G A B C D#/Eb

4 F F#/Gb G#/Ab A#/Bb C C#/Db E

b5 F#/Gb G A B C#/Db D F

5 G G#/Ab A#/Bb C D D#/Eb F#/Gb

+5 G#/Ab A B C#/Db D#/Eb E G

6 A A#/Bb C D E F G#/Ab

b7 A#/Bb B C#/Db D#/Eb F F#/Gb A

B C D E F#/Gb G A#/Bb

1 C C#/Db D#/Eb F G G#/Ab B

b9 C#/Db D E F#/Gb G#/Ab A C

9 D D#/Eb F G A A#/Bb C#/Db

+9 D#/Eb E F#/Gb G#/Ab A#/Bb B D

3 E F G A B C D#/Eb

11 F F#/Gb G#/Ab A#/Bb C C#/Db E

+11 F#/Gb G A B C#/Db D F

5 G G#/Ab A#/Bb C D D#/Eb F#/Gb

b13 G#/Ab A B C#/Db D#/Eb E G

13 A A#/Bb C D E F G#/Ab

b7 A#/Bb B C#/Db D#/Eb F F#/Gb A

B C D E F#/Gb G A#/Bb


244

39. Harmonic Major: 2212131*

Chord

tone

Scale tone

39. Harmonic Minor

40. Dorian b5 41. Phrygian b4 42. Lydian b3 43. Mixolydian b2 44. Lydian #2#5 45. Locrian b7


1 C D E F G Ab B

b9 C#/Db D#/Eb F F#/Gb G#/Ab A C

9 D E F#/Gb G A A#/Bb C#/Db

m3 D#/Eb F G G#/Ab A#/Bb B D

E F#/Gb G#/Ab A B C D#/Eb

4 F G A A#/Bb C C#/Db E

b5 F#/Gb G#/Ab A#/Bb B C#/Db D F

5 G A B C D D#/Eb F#/Gb

+5 G#/Ab A#/Bb C C#/Db D#/Eb E G

6 A B C#/Db D E F G#/Ab

b7 A#/Bb C D D#/Eb F F#/Gb A

B C#/Db D#/Eb E F#/Gb G A#/Bb

1 C D E F G G#/Ab B



+9 D#/Eb F G G#/Ab A#/Bb B D

3 E F#/Gb G#/Ab A B C D#/Eb


+11 F#/Gb G#/Ab A#/Bb B C#/Db D F


b13 G#/Ab A#/Bb C C#/Db D#/Eb E G





245

46. Harmonic Minor: 2122131*

Chord

tone

Scale tone

46. Harmonic Minor

47. Locrian #6 48. Ionian #5 49. Romanian 50. Phrrygian #3 51. Lydian #2 52. Ultralocrian


1 C D Eb F G Ab B



m3 D#/Eb F G G#/Ab A#/Bb B D

E F#/Gb G#/Ab A B C D#/Eb


b5 F#/Gb G#/Ab A#/Bb B C#/Db D F


+5 G#/Ab A#/Bb C C#/Db D#/Eb E G




1 C D E F G G#/Ab B



+9 D#/Eb F G G#/Ab A#/Bb B D

3 E F#/Gb G#/Ab A B C D#/Eb


+11 F#/Gb G#/Ab A#/Bb B C#/Db D F


b13 G#/Ab A#/Bb C C#/Db D#/Eb E G





246

53. Hungarian Major: 3121212*

Chord

tone

Scale tone

53. Hungarian Major

54. Superlocrian bb6bb7

55. Harmonic Minor b5

56. Superlocrian #6

57. Melodic Minor #5

58. Dorian b2#4 59. Lydian #3#5


1 C D# E F# G A Bb

b9 C#/Db E F G G#/Ab A#/Bb B

9 D F F#/Gb G#/Ab A B C

m3 D#/Eb F#/Gb G A A#/Bb C C#/Db

E G G#/Ab A#/Bb B C#/Db D

4 F G#/Ab A B C D D#/Eb

b5 F#/Gb A A#/Bb C C#/Db D#/Eb E

5 G A#/Bb B C#/Db D E F

+5 G#/Ab B C D D#/Eb F F#/Gb

6 A C C#/Db D#/Eb E F#/Gb G

b7 A#/Bb C#/Db D E F G G#/Ab

B D D#/Eb F F#/Gb G#/Ab A

1 C D#/Eb E F#/Gb G A A#/Bb

b9 C#/Db E F G G#/Ab A#/Bb B

9 D F F#/Gb G#/Ab A B C

+9 D#/Eb F#/Gb G A A#/Bb C C#/Db

3 E G G#/Ab A#/Bb B C#/Db D

11 F G#/Ab A B C D D#/Eb

+11 F#/Gb A A#/Bb C C#/Db D#/Eb E

5 G A#/Bb B C#/Db D E F

b13 G#/Ab B C D D#/Eb F F#/Gb

13 A C C#/Db D#/Eb E F#/Gb G

b7 A#/Bb C#/Db D E F G G#/Ab

B D D#/Eb F F#/Gb G#/Ab A


247

60. Phrygian #4 (1231122)*

Chord

tone

Scale tone

60. Phrygian #4 61. Lydian #3 62. Mixolydian #2 63. Aeolian #1 64. Locrian #7 65. Ionian #6 66. Dorian #5


1 C Db Eb F# G Ab Bb

b9 C#/Db D E G G#/Ab A B

9 D D#/Eb F G#/Ab A A#/Bb C

m3 D#/Eb E F#/Gb A A#/Bb B C#/Db

E F G A#/Bb B C D

4 F F#/Gb G#/Ab B C C#/Db D#/Eb

b5 F#/Gb G A C C#/Db D E

5 G G#/Ab A#/Bb C#/Db D D#/Eb F

+5 G#/Ab A B D D#/Eb E F#/Gb

6 A A#/Bb C D#/Eb E F G

b7 A#/Bb B C#/Db E F F#/Gb G#/Ab

B C D F F#/Gb G A

1 C C#/Db D#/Eb F#/Gb G G#/Ab A#/Bb

b9 C#/Db D E G G#/Ab A B

9 D D#/Eb F G#/Ab A A#/Bb C

+9 D#/Eb E F#/Gb A A#/Bb B C#/Db

3 E F G A#/Bb B C D

11 F F#/Gb G#/Ab B C C#/Db D#/Eb

+11 F#/Gb G A C C#/Db D E

5 G G#/Ab A#/Bb C#/Db D D#/Eb F

b13 G#/Ab A B D D#/Eb E F#/Gb

13 A A#/Bb C D#/Eb E F G

b7 A#/Bb B C#/Db E F F#/Gb G#/Ab

B C D F F#/Gb G A


248

67. Ionian b2 (1312221)*

Chord

tone

Scale tone

67. Ionian b2 68. Dorian b1 69. Phrygian b7 70. Lydian b6 71. Mixolydian b5 72. Aeolian b4 73. Locrian b3


1 C Db E F G A B

b9 C#/Db D F F#/Gb G#/Ab A#/Bb C

9 D D#/Eb F#/Gb G A B C#/Db

m3 D#/Eb E G G#/Ab A#/Bb C D

E F G#/Ab A B C#/Db D#/Eb

4 F F#/Gb A A#/Bb C D E

b5 F#/Gb G A#/Bb B C#/Db D#/Eb F

5 G G#/Ab B C D E F#/Gb

+5 G#/Ab A C C#/Db D#/Eb F G

6 A A#/Bb C#/Db D E F#/Gb G#/Ab

b7 A#/Bb B D D#/Eb F G A

B C D#/Eb E F#/Gb G#/Ab A#/Bb

1 C C#/Db E F G A B

b9 C#/Db D F F#/Gb G#/Ab A#/Bb C

9 D D#/Eb F#/Gb G A B C#/Db

+9 D#/Eb E G G#/Ab A#/Bb C D

3 E F G#/Ab A B C#/Db D#/Eb

11 F F#/Gb A A#/Bb C D E

+11 F#/Gb G A#/Bb B C#/Db D#/Eb F

5 G G#/Ab B C D E F#/Gb

b13 G#/Ab A C C#/Db D#/Eb F G

13 A A#/Bb C#/Db D E F#/Gb G#/Ab

b7 A#/Bb B D D#/Eb F G A

B C D#/Eb E F#/Gb G#/Ab A#/Bb


249

74. Lydian b2 (1321221)*

Chord

tone

Scale tone

74. Lydian b2 75. Mixolydian b1 76. Aeolian b7 77. Locrian b6 78. Ionian b5 79. Dorian b4 80. Phrygian b3


1 C Db E F# G A B

b9 C#/Db D F G G#/Ab A#/Bb C

9 D D#/Eb F#/Gb G#/Ab A B C#/Db

m3 D#/Eb E G A A#/Bb C D

E F G#/Ab A#/Bb B C#/Db D#/Eb

4 F F#/Gb A B C D E

b5 F#/Gb G A#/Bb C C#/Db D#/Eb F

5 G G#/Ab B C#/Db D E F#/Gb

+5 G#/Ab A C D D#/Eb F G

6 A A#/Bb C#/Db D#/Eb E F#/Gb G#/Ab

b7 A#/Bb B D E F G A

B C D#/Eb F F#/Gb G#/Ab A#/Bb

1 C C#/Db E F#/Gb G A B

b9 C#/Db D F G G#/Ab A#/Bb C

9 D D#/Eb F#/Gb G#/Ab A B C#/Db

+9 D#/Eb E G A A#/Bb C D

3 E F G#/Ab A#/Bb B C#/Db D#/Eb

11 F F#/Gb A B C D E

+11 F#/Gb G A#/Bb C C#/Db D#/Eb F

5 G G#/Ab B C#/Db D E F#/Gb

b13 G#/Ab A C D D#/Eb F G

13 A A#/Bb C#/Db D#/Eb E F#/Gb G#/Ab

b7 A#/Bb B D E F G A

B C D#/Eb F F#/Gb G#/Ab A#/Bb


250

81. Lydian Diminished: 2132121*

Chord

tone

Scale tone

81. Lydian Diminished

82. 1321212 83. 3212121 84. 2121213 85. 1212132 86. 2121321 87. 1213212


1 C D Eb F# G# A B

b9 C#/Db D#/Eb E G A A#/Bb C

9 D E F G#/Ab A#/Bb B C#/Db

m3 D#/Eb F F#/Gb A B C D

E F#/Gb G A#/Bb C C#/Db D#/Eb

4 F G G#/Ab B C#/Db D E

b5 F#/Gb G#/Ab A C D D#/Eb F

5 G A A#/Bb C#/Db D#/Eb E F#/Gb

+5 G#/Ab A#/Bb B D E F G

6 A B C D#/Eb F F#/Gb G#/Ab

b7 A#/Bb C C#/Db E F#/Gb G A

B C#/Db D F G G#/Ab A#/Bb

1 C D D#/Eb F#/Gb G#/Ab A B

b9 C#/Db D#/Eb E G A A#/Bb C

9 D E F G#/Ab A#/Bb B C#/Db

+9 D#/Eb F F#/Gb A B C D

3 E F#/Gb G A#/Bb C C#/Db D#/Eb

11 F G G#/Ab B C#/Db D E

+11 F#/Gb G#/Ab A C D D#/Eb F

5 G A A#/Bb C#/Db D#/Eb E F#/Gb

b13 G#/Ab A#/Bb B D E F G

13 A B C D#/Eb F F#/Gb G#/Ab

b7 A#/Bb C C#/Db E F#/Gb G A

B C#/Db D F G G#/Ab A#/Bb


251

88. Scala Enigmata: 1322211

Chord

tone

Scale tone

88. Scala Enigmata

89. 3222111 90. 2221113 91. 2211132 92. 2111322 93. 1113222 94. 1132221


1 C Db E F# G# A# B

b9 C#/Db D F G A B C

9 D D#/Eb F#/Gb G#/Ab A#/Bb C C#/Db

m3 D#/Eb E G A B C#/Db D

E F G#/Ab A#/Bb C D D#/Eb

4 F F#/Gb A B C#/Db D#/Eb E

b5 F#/Gb G A#/Bb C D E F

5 G G#/Ab B C#/Db D#/Eb F F#/Gb

+5 G#/Ab A C D E F#/Gb G

6 A A#/Bb C#/Db D#/Eb F G G#/Ab

b7 A#/Bb B D E F#/Gb G#/Ab A

B C D#/Eb F G A A#/Bb

1 C C#/Db E F#/Gb G#/Ab A#/Bb B

b9 C#/Db D F G A B C

9 D D#/Eb F#/Gb G#/Ab A#/Bb C C#/Db

+9 D#/Eb E G A B C#/Db D

3 E F G#/Ab A#/Bb C D D#/Eb

11 F F#/Gb A B C#/Db D#/Eb E

+11 F#/Gb G A#/Bb C D E F

5 G G#/Ab B C#/Db D#/Eb F F#/Gb

b13 G#/Ab A C D E F#/Gb G

13 A A#/Bb C#/Db D#/Eb F G G#/Ab

b7 A#/Bb B D E F#/Gb G#/Ab A

B C D#/Eb F G A A#/Bb


252

95. 2122311*

Chord

tone

Scale tone

95. 2122311 96. 1223112 97. 2231121 98. 2311212 99. 3112122 100. 1121223 101. 1212231


1 C D Eb F G A# B

b9 C#/Db D#/Eb E F#/Gb G#/Ab B C

9 D E F G A C C#/Db

m3 D#/Eb F F#/Gb G#/Ab A#/Bb C#/Db D

E F#/Gb G A B D D#/Eb

4 F G G#/Ab A#/Bb C D#/Eb E

b5 F#/Gb G#/Ab A B C#/Db E F

5 G A A#/Bb C D F F#/Gb

+5 G#/Ab A#/Bb B C#/Db D#/Eb F#/Gb G

6 A B C D E G G#/Ab

b7 A#/Bb C C#/Db D#/Eb F G#/Ab A

B C#/Db D E F#/Gb A A#/Bb

1 C D D#/Eb F G A#/Bb B

b9 C#/Db D#/Eb E F#/Gb G#/Ab B C

9 D E F G A C C#/Db

+9 D#/Eb F F#/Gb G#/Ab A#/Bb C#/Db D

3 E F#/Gb G A B D D#/Eb

11 F G G#/Ab A#/Bb C D#/Eb E

+11 F#/Gb G#/Ab A B C#/Db E F

5 G A A#/Bb C D F F#/Gb

b13 G#/Ab A#/Bb B C#/Db D#/Eb F#/Gb G

13 A B C D E G G#/Ab

b7 A#/Bb C C#/Db D#/Eb F G#/Ab A

B C#/Db D E F#/Gb A A#/Bb


253

102. 1231221*

Chord

tone

Scale tone

102. 1231221 103. 2312211 104. 3122112 105. 1221123 106. 2211231 107. 2112312 108. 1123122


1 C Db Eb F# G A B

b9 C#/Db D E G G#/Ab A#/Bb C

9 D D#/Eb F G#/Ab A B C#/Db

m3 D#/Eb E F#/Gb A A#/Bb C D

E F G A#/Bb B C#/Db D#/Eb

4 F F#/Gb G#/Ab B C D E

b5 F#/Gb G A C C#/Db D#/Eb F

5 G G#/Ab A#/Bb C#/Db D E F#/Gb

+5 G#/Ab A B D D#/Eb F G

6 A A#/Bb C D#/Eb E F#/Gb G#/Ab

b7 A#/Bb B C#/Db E F G A

B C D F F#/Gb G#/Ab A#/Bb

1 C C#/Db D#/Eb F#/Gb G A B

b9 C#/Db D E G G#/Ab A#/Bb C

9 D D#/Eb F G#/Ab A B C#/Db

+9 D#/Eb E F#/Gb A A#/Bb C D

3 E F G A#/Bb B C#/Db D#/Eb

11 F F#/Gb G#/Ab B C D E

+11 F#/Gb G A C C#/Db D#/Eb F

5 G G#/Ab A#/Bb C#/Db D E F#/Gb

b13 G#/Ab A B D D#/Eb F G

13 A A#/Bb C D#/Eb E F#/Gb G#/Ab

b7 A#/Bb B C#/Db E F G A

B C D F F#/Gb G#/Ab A#/Bb


254

109. 1321122*

Chord

tone

Scale tone

109. 1321122 110. 3211221 111. 2112213 112. 1122132 113. 1221321 114. 2213211 115. 2132112


1 C Db E F# G Ab Bb

b9 C#/Db D F G G#/Ab A B

9 D D#/Eb F#/Gb G#/Ab A A#/Bb C

m3 D#/Eb E G A A#/Bb B C#/Db

E F G#/Ab A#/Bb B C D

4 F F#/Gb A B C C#/Db D#/Eb

b5 F#/Gb G A#/Bb C C#/Db D E

5 G G#/Ab B C#/Db D D#/Eb F

+5 G#/Ab A C D D#/Eb E F#/Gb

6 A A#/Bb C#/Db D#/Eb E F G

b7 A#/Bb B D E F F#/Gb G#/Ab

B C D#/Eb F F#/Gb G A

1 C C#/Db E F#/Gb G G#/Ab A#/Bb

b9 C#/Db D F G G#/Ab A B

9 D D#/Eb F#/Gb G#/Ab A A#/Bb C

+9 D#/Eb E G A A#/Bb B C#/Db

3 E F G#/Ab A#/Bb B C D

11 F F#/Gb A B C C#/Db D#/Eb

+11 F#/Gb G A#/Bb C C#/Db D E

5 G G#/Ab B C#/Db D D#/Eb F

b13 G#/Ab A C D D#/Eb E F#/Gb

13 A A#/Bb C#/Db D#/Eb E F G

b7 A#/Bb B D E F F#/Gb G#/Ab

B C D#/Eb F F#/Gb G A


255

116. 2211123*

Chord

tone

Scale tone

116. 2211123 117. 2111232 118. 1112322 119. 1123221 120. 1232211 121. 2322111 122. 3221112


1 C D E F Gb G A

b9 C#/Db D#/Eb F F#/Gb G G#/Ab A#/Bb

9 D E F#/Gb G G#/Ab A B

m3 D#/Eb F G G#/Ab A A#/Bb C

E F#/Gb G#/Ab A A#/Bb B C#/Db

4 F G A A#/Bb B C D

b5 F#/Gb G#/Ab A#/Bb B C C#/Db D#/Eb

5 G A B C C#/Db D E

+5 G#/Ab A#/Bb C C#/Db D D#/Eb F

6 A B C#/Db D D#/Eb E F#/Gb

b7 A#/Bb C D D#/Eb E F G

B C#/Db D#/Eb E F F#/Gb G#/Ab

1 C D E F F#/Gb G A

b9 C#/Db D#/Eb F F#/Gb G G#/Ab A#/Bb

9 D E F#/Gb G G#/Ab A B

+9 D#/Eb F G G#/Ab A A#/Bb C

3 E F#/Gb G#/Ab A A#/Bb B C#/Db

11 F G A A#/Bb B C D

+11 F#/Gb G#/Ab A#/Bb B C C#/Db D#/Eb

5 G A B C C#/Db D E

b13 G#/Ab A#/Bb C C#/Db D D#/Eb F

13 A B C#/Db D D#/Eb E F#/Gb

b7 A#/Bb C D D#/Eb E F G

B C#/Db D#/Eb E F F#/Gb G#/Ab


256

123. 1222311*

Chord

tone

Scale tone

123. 1222311 124. 2223111 125. 2231112 126. 2311122 127. 3111222 128. 1112223 129. 1122231


1 C Db Eb F G A# B

b9 C#/Db D E F#/Gb G#/Ab B C

9 D D#/Eb F G A C C#/Db

m3 D#/Eb E F#/Gb G#/Ab A#/Bb C#/Db D

E F G A B D D#/Eb

4 F F#/Gb G#/Ab A#/Bb C D#/Eb E

b5 F#/Gb G A B C#/Db E F

5 G G#/Ab A#/Bb C D F F#/Gb

+5 G#/Ab A B C#/Db D#/Eb F#/Gb G

6 A A#/Bb C D E G G#/Ab

b7 A#/Bb B C#/Db D#/Eb F G#/Ab A

B C D E F#/Gb A A#/Bb

1 C C#/Db D#/Eb F G A#/Bb B

b9 C#/Db D E F#/Gb G#/Ab B C

9 D D#/Eb F G A C C#/Db

+9 D#/Eb E F#/Gb G#/Ab A#/Bb C#/Db D

3 E F G A B D D#/Eb

11 F F#/Gb G#/Ab A#/Bb C D#/Eb E

+11 F#/Gb G A B C#/Db E F

5 G G#/Ab A#/Bb C D F F#/Gb

b13 G#/Ab A B C#/Db D#/Eb F#/Gb G

13 A A#/Bb C D E G G#/Ab

b7 A#/Bb B C#/Db D#/Eb F G#/Ab A

B C D E F#/Gb A A#/Bb


257

130. 2112231*

Chord

tone

Scale tone

130. 2112232 131. 1122312 132. 1223121 133. 2231211 134. 2312112 135. 3121122 136. 1211223


1 C D Eb E Gb Ab B

b9 C#/Db D#/Eb E F G A C

9 D E F F#/Gb G#/Ab A#/Bb C#/Db

m3 D#/Eb F F#/Gb G A B D

E F#/Gb G G#/Ab A#/Bb C D#/Eb

4 F G G#/Ab A B C#/Db E

b5 F#/Gb G#/Ab A A#/Bb C D F

5 G A A#/Bb B C#/Db D#/Eb F#/Gb

+5 G#/Ab A#/Bb B C D E G

6 A B C C#/Db D#/Eb F G#/Ab

b7 A#/Bb C C#/Db D E F#/Gb A

B C#/Db D D#/Eb F G A#/Bb

1 C D D#/Eb E F#/Gb G#/Ab B

b9 C#/Db D#/Eb E F G A C

9 D E F F#/Gb G#/Ab A#/Bb C#/Db

+9 D#/Eb F F#/Gb G A B D

3 E F#/Gb G G#/Ab A#/Bb C D#/Eb

11 F G G#/Ab A B C#/Db E

+11 F#/Gb G#/Ab A A#/Bb C D F

5 G A A#/Bb B C#/Db D#/Eb F#/Gb

b13 G#/Ab A#/Bb B C D E G

13 A B C C#/Db D#/Eb F G#/Ab

b7 A#/Bb C C#/Db D E F#/Gb A

B C#/Db D D#/Eb F G A#/Bb


258

137. 1112232*

Chord

tone

Scale tone

137. 1112232 138. 1122321 139. 1223211 140. 2232111 141. 2321112 142. 3211122 143. 2111223


1 C Db D Eb F G Bb

b9 C#/Db D D#/Eb E F#/Gb G#/Ab B

9 D D#/Eb E F G A C

m3 D#/Eb E F F#/Gb G#/Ab A#/Bb C#/Db

E F F#/Gb G A B D

4 F F#/Gb G G#/Ab A#/Bb C D#/Eb

b5 F#/Gb G G#/Ab A B C#/Db E

5 G G#/Ab A A#/Bb C D F

+5 G#/Ab A A#/Bb B C#/Db D#/Eb F#/Gb

6 A A#/Bb B C D E G

b7 A#/Bb B C C#/Db D#/Eb F G#/Ab

B C C#/Db D E F#/Gb A

1 C C#/Db D D#/Eb F G A#/Bb

b9 C#/Db D D#/Eb E F#/Gb G#/Ab B

9 D D#/Eb E F G A C

+9 D#/Eb E F F#/Gb G#/Ab A#/Bb C#/Db

3 E F F#/Gb G A B D

11 F F#/Gb G G#/Ab A#/Bb C D#/Eb

+11 F#/Gb G G#/Ab A B C#/Db E

5 G G#/Ab A A#/Bb C D F

b13 G#/Ab A A#/Bb B C#/Db D#/Eb F#/Gb

13 A A#/Bb B C D E G

b7 A#/Bb B C C#/Db D#/Eb F G#/Ab

B C C#/Db D E F#/Gb A


259

144. 1211232*

Chord

tone

Scale tone

144. 1211232 145. 2112321 146. 1123212 147. 1232121 148. 2321211 149. 3212112 150. 2121123


1 C Db Eb E F G Bb

b9 C#/Db D E F F#/Gb G#/Ab B

9 D D#/Eb F F#/Gb G A C

m3 D#/Eb E F#/Gb G G#/Ab A#/Bb C#/Db

E F G G#/Ab A B D

4 F F#/Gb G#/Ab A A#/Bb C D#/Eb

b5 F#/Gb G A A#/Bb B C#/Db E

5 G G#/Ab A#/Bb B C D F

+5 G#/Ab A B C C#/Db D#/Eb F#/Gb

6 A A#/Bb C C#/Db D E G

b7 A#/Bb B C#/Db D D#/Eb F G#/Ab

B C D D#/Eb E F#/Gb A

1 C C#/Db D#/Eb E F G A#/Bb

b9 C#/Db D E F F#/Gb G#/Ab B

9 D D#/Eb F F#/Gb G A C

+9 D#/Eb E F#/Gb G G#/Ab A#/Bb C#/Db

3 E F G G#/Ab A B D

11 F F#/Gb G#/Ab A A#/Bb C D#/Eb

+11 F#/Gb G A A#/Bb B C#/Db E

5 G G#/Ab A#/Bb B C D F

b13 G#/Ab A B C C#/Db D#/Eb F#/Gb

13 A A#/Bb C C#/Db D E G

b7 A#/Bb B C#/Db D D#/Eb F G#/Ab

B C D D#/Eb E F#/Gb A


260

151. 1121232*

Chord

tone

Scale tone

151. 1121232 152. 1212321 153. 2123211 154. 1232112 155. 2321121 156. 3211212 157. 2112123


1 C Db D E F G Bb

b9 C#/Db D D#/Eb F F#/Gb G#/Ab B

9 D D#/Eb E F#/Gb G A C

m3 D#/Eb E F G G#/Ab A#/Bb C#/Db

E F F#/Gb G#/Ab A B D

4 F F#/Gb G A A#/Bb C D#/Eb

b5 F#/Gb G G#/Ab A#/Bb B C#/Db E

5 G G#/Ab A B C D F

+5 G#/Ab A A#/Bb C C#/Db D#/Eb F#/Gb

6 A A#/Bb B C#/Db D E G

b7 A#/Bb B C D D#/Eb F G#/Ab

B C C#/Db D#/Eb E F#/Gb A

1 C C#/Db D E F G A#/Bb

b9 C#/Db D D#/Eb F F#/Gb G#/Ab B

9 D D#/Eb E F#/Gb G A C

+9 D#/Eb E F G G#/Ab A#/Bb C#/Db

3 E F F#/Gb G#/Ab A B D

11 F F#/Gb G A A#/Bb C D#/Eb

+11 F#/Gb G G#/Ab A#/Bb B C#/Db E

5 G G#/Ab A B C D F

b13 G#/Ab A A#/Bb C C#/Db D#/Eb F#/Gb

13 A A#/Bb B C#/Db D E G

b7 A#/Bb B C D D#/Eb F G#/Ab

B C C#/Db D#/Eb E F#/Gb A


261

158. 2211213*

Chord

tone

Scale tone

158. 2211213 159. 2112132 160. 1121322 161. 1213221 162. 2132211 163. 1322112 164. 3221121


1 C D E F Gb Ab A

b9 C#/Db D#/Eb F F#/Gb G A A#/Bb

9 D E F#/Gb G G#/Ab A#/Bb B

m3 D#/Eb F G G#/Ab A B C

E F#/Gb G#/Ab A A#/Bb C C#/Db

4 F G A A#/Bb B C#/Db D

b5 F#/Gb G#/Ab A#/Bb B C D D#/Eb

5 G A B C C#/Db D#/Eb E

+5 G#/Ab A#/Bb C C#/Db D E F

6 A B C#/Db D D#/Eb F F#/Gb

b7 A#/Bb C D D#/Eb E F#/Gb G

B C#/Db D#/Eb E F G G#/Ab

1 C D E F F#/Gb G#/Ab A

b9 C#/Db D#/Eb F F#/Gb G A A#/Bb

9 D E F#/Gb G G#/Ab A#/Bb B

+9 D#/Eb F G G#/Ab A B C

3 E F#/Gb G#/Ab A A#/Bb C C#/Db

11 F G A A#/Bb B C#/Db D

+11 F#/Gb G#/Ab A#/Bb B C D D#/Eb

5 G A B C C#/Db D#/Eb E

b13 G#/Ab A#/Bb C C#/Db D E F

13 A B C#/Db D D#/Eb F F#/Gb

b7 A#/Bb C D D#/Eb E F#/Gb G

B C#/Db D#/Eb E F G G#/Ab


262

165. 2212113*

Chord

tone

Scale tone

165. 2212113 166. 2121132 167. 1211322 168. 2113221 169. 1132212 170. 1322121 171. 3221211


1 C D E F G Ab A

b9 C#/Db D#/Eb F F#/Gb G#/Ab A A#/Bb

9 D E F#/Gb G A A#/Bb B

m3 D#/Eb F G G#/Ab A#/Bb B C

E F#/Gb G#/Ab A B C C#/Db

4 F G A A#/Bb C C#/Db D

b5 F#/Gb G#/Ab A#/Bb B C#/Db D D#/Eb

5 G A B C D D#/Eb E

+5 G#/Ab A#/Bb C C#/Db D#/Eb E F

6 A B C#/Db D E F F#/Gb

b7 A#/Bb C D D#/Eb F F#/Gb G

B C#/Db D#/Eb E F#/Gb G G#/Ab

1 C D E F G G#/Ab A

b9 C#/Db D#/Eb F F#/Gb G#/Ab A A#/Bb

9 D E F#/Gb G A A#/Bb B

+9 D#/Eb F G G#/Ab A#/Bb B C

3 E F#/Gb G#/Ab A B C C#/Db

11 F G A A#/Bb C C#/Db D

+11 F#/Gb G#/Ab A#/Bb B C#/Db D D#/Eb

5 G A B C D D#/Eb E

b13 G#/Ab A#/Bb C C#/Db D#/Eb E F

13 A B C#/Db D E F F#/Gb

b7 A#/Bb C D D#/Eb F F#/Gb G

B C#/Db D#/Eb E F#/Gb G G#/Ab


263

172. Hungarian Minor: 2131131*

Chord

tone

Scale tone

172. Humngarian Minor

173. Orienta 174. Ionian #2#5 175. Locrian bb3bb7

176. Double Harmonic Major

177. Lydian #2#6 178. Ultraphrygian


1 C D Eb F# G Ab B

b9 C#/Db D#/Eb E G G#/Ab A C

9 D E F G#/Ab A A#/Bb C#/Db

m3 D#/Eb F F#/Gb A A#/Bb B D

E F#/Gb G A#/Bb B C D#/Eb

4 F G G#/Ab B C C#/Db E

b5 F#/Gb G#/Ab A C C#/Db D F

5 G A A#/Bb C#/Db D D#/Eb F#/Gb

+5 G#/Ab A#/Bb B D D#/Eb E G

6 A B C D#/Eb E F G#/Ab

b7 A#/Bb C C#/Db E F F#/Gb A

B C#/Db D F F#/Gb G A#/Bb

1 C D D#/Eb F#/Gb G G#/Ab B

b9 C#/Db D#/Eb E G G#/Ab A C

9 D E F G#/Ab A A#/Bb C#/Db

+9 D#/Eb F F#/Gb A A#/Bb B D

3 E F#/Gb G A#/Bb B C D#/Eb

11 F G G#/Ab B C C#/Db E

+11 F#/Gb G#/Ab A C C#/Db D F

5 G A A#/Bb C#/Db D D#/Eb F#/Gb

b13 G#/Ab A#/Bb B D D#/Eb E G

13 A B C D#/Eb E F G#/Ab

b7 A#/Bb C C#/Db E F F#/Gb A

B C#/Db D F F#/Gb G A#/Bb


264

179. 1321131*

Chord

tone

Scale tone

179. 1321131 180. 3211311 181. 2113113 182. 1131132 183. 1311321 184. 3113211 185. 1132113


1 C Db E F# G Ab B

b9 C#/Db D F G G#/Ab A C

9 D D#/Eb F#/Gb G#/Ab A A#/Bb C#/Db

m3 D#/Eb E G A A#/Bb B D

E F G#/Ab A#/Bb B C D#/Eb

4 F F#/Gb A B C C#/Db E

b5 F#/Gb G A#/Bb C C#/Db D F

5 G G#/Ab B C#/Db D D#/Eb F#/Gb

+5 G#/Ab A C D D#/Eb E G

6 A A#/Bb C#/Db D#/Eb E F G#/Ab

b7 A#/Bb B D E F F#/Gb A

B C D#/Eb F F#/Gb G A#/Bb

1 C C#/Db E F#/Gb G G#/Ab B

b9 C#/Db D F G G#/Ab A C

9 D D#/Eb F#/Gb G#/Ab A A#/Bb C#/Db

+9 D#/Eb E G A A#/Bb B D

3 E F G#/Ab A#/Bb B C D#/Eb

11 F F#/Gb A B C C#/Db E

+11 F#/Gb G A#/Bb C C#/Db D F

5 G G#/Ab B C#/Db D D#/Eb F#/Gb

b13 G#/Ab A C D D#/Eb E G

13 A A#/Bb C#/Db D#/Eb E F G#/Ab

b7 A#/Bb B D E F F#/Gb A

B C D#/Eb F F#/Gb G A#/Bb


265

186. 1231131*

Chord

tone

Scale tone

186. 1231131 187. 2311311 188. 3113112 189. 1131123 190. 1311231 191. 3112311 192. 1123113


1 C Db Eb F# G Ab B

b9 C#/Db D E G G#/Ab A C

9 D D#/Eb F G#/Ab A A#/Bb C#/Db

m3 D#/Eb E F#/Gb A A#/Bb B D

E F G A#/Bb B C D#/Eb

4 F F#/Gb G#/Ab B C C#/Db E

b5 F#/Gb G A C C#/Db D F

5 G G#/Ab A#/Bb C#/Db D D#/Eb F#/Gb

+5 G#/Ab A B D D#/Eb E G

6 A A#/Bb C D#/Eb E F G#/Ab

b7 A#/Bb B C#/Db E F F#/Gb A

B C D F F#/Gb G A#/Bb

1 C C#/Db D#/Eb F#/Gb G G#/Ab B

b9 C#/Db D E G G#/Ab A C

9 D D#/Eb F G#/Ab A A#/Bb C#/Db

+9 D#/Eb E F#/Gb A A#/Bb B D

3 E F G A#/Bb B C D#/Eb

11 F F#/Gb G#/Ab B C C#/Db E

+11 F#/Gb G A C C#/Db D F

5 G G#/Ab A#/Bb C#/Db D D#/Eb F#/Gb

b13 G#/Ab A B D D#/Eb E G

13 A A#/Bb C D#/Eb E F G#/Ab

b7 A#/Bb B C#/Db E F F#/Gb A

B C D F F#/Gb G A#/Bb


266

193. 1111233

Chord

tone

Scale tone

193. 1111233 194. 1112331 195. 1123311 196. 1233111 197. 2331111 198. 3311112 199. 3111123


1 C Db D Eb E F# A

b9 C#/Db D D#/Eb E F G A#/Bb

9 D D#/Eb E F F#/Gb G#/Ab B

m3 D#/Eb E F F#/Gb G A C

E F F#/Gb G G#/Ab A#/Bb C#/Db

4 F F#/Gb G G#/Ab A B D

b5 F#/Gb G G#/Ab A A#/Bb C D#/Eb

5 G G#/Ab A A#/Bb B C#/Db E

+5 G#/Ab A A#/Bb B C D F

6 A A#/Bb B C C#/Db D#/Eb F#/Gb

b7 A#/Bb B C C#/Db D E G

B C C#/Db D D#/Eb F G#/Ab

1 C C#/Db D D#/Eb E F#/Gb A

b9 C#/Db D D#/Eb E F G A#/Bb

9 D D#/Eb E F F#/Gb G#/Ab B

+9 D#/Eb E F F#/Gb G A C

3 E F F#/Gb G G#/Ab A#/Bb C#/Db

11 F F#/Gb G G#/Ab A B D

+11 F#/Gb G G#/Ab A A#/Bb C D#/Eb

5 G G#/Ab A A#/Bb B C#/Db E

b13 G#/Ab A A#/Bb B C D F

13 A A#/Bb B C C#/Db D#/Eb F#/Gb

b7 A#/Bb B C C#/Db D E G

B C C#/Db D D#/Eb F G#/Ab


267

200. 1111323

Chord

tone

Scale tone

200. 1111323 201. 1113231 202. 1132311 203. 1323111 204. 3231111 205. 2311113 206. 3111132


1 C Db D Eb E G A

b9 C#/Db D D#/Eb E F G#/Ab A#/Bb

9 D D#/Eb E F F#/Gb A B

m3 D#/Eb E F F#/Gb G A#/Bb C

E F F#/Gb G G#/Ab B C#/Db

4 F F#/Gb G G#/Ab A C D

b5 F#/Gb G G#/Ab A A#/Bb C#/Db D#/Eb

5 G G#/Ab A A#/Bb B D E

+5 G#/Ab A A#/Bb B C D#/Eb F

6 A A#/Bb B C C#/Db E F#/Gb

b7 A#/Bb B C C#/Db D F G

B C C#/Db D D#/Eb F#/Gb G#/Ab

1 C C#/Db D D#/Eb E G A

b9 C#/Db D D#/Eb E F G#/Ab A#/Bb

9 D D#/Eb E F F#/Gb A B

+9 D#/Eb E F F#/Gb G A#/Bb C

3 E F F#/Gb G G#/Ab B C#/Db

11 F F#/Gb G G#/Ab A C D

+11 F#/Gb G G#/Ab A A#/Bb C#/Db D#/Eb

5 G G#/Ab A A#/Bb B D E

b13 G#/Ab A A#/Bb B C D#/Eb F

13 A A#/Bb B C C#/Db E F#/Gb

b7 A#/Bb B C C#/Db D F G

B C C#/Db D D#/Eb F#/Gb G#/Ab


268

207. 1111332

Chord

tone

Scale tone

207. 1111332 208. 1113321 209. 1133211 210. 1332111 211. 3321111 212. 3211113 213. 2111133


1 C Db D Eb E G Bb

b9 C#/Db D D#/Eb E F G#/Ab B

9 D D#/Eb E F F#/Gb A C

m3 D#/Eb E F F#/Gb G A#/Bb C#/Db

E F F#/Gb G G#/Ab B D

4 F F#/Gb G G#/Ab A C D#/Eb

b5 F#/Gb G G#/Ab A A#/Bb C#/Db E

5 G G#/Ab A A#/Bb B D F

+5 G#/Ab A A#/Bb B C D#/Eb F#/Gb

6 A A#/Bb B C C#/Db E G

b7 A#/Bb B C C#/Db D F G#/Ab

B C C#/Db D D#/Eb F#/Gb A

1 C C#/Db D D#/Eb E G A#/Bb

b9 C#/Db D D#/Eb E F G#/Ab B

9 D D#/Eb E F F#/Gb A C

+9 D#/Eb E F F#/Gb G A#/Bb C#/Db

3 E F F#/Gb G G#/Ab B D

11 F F#/Gb G G#/Ab A C D#/Eb

+11 F#/Gb G G#/Ab A A#/Bb C#/Db E

5 G G#/Ab A A#/Bb B D F

b13 G#/Ab A A#/Bb B C D#/Eb F#/Gb

13 A A#/Bb B C C#/Db E G

b7 A#/Bb B C C#/Db D F G#/Ab

B C C#/Db D D#/Eb F#/Gb A


269

214. 1112133*

Chord

tone

Scale tone

214. 1112133 215. 1121331 216. 1213311 217. 2133111 218. 1331112 219. 3311121 220. 3111213


1 C Db D Eb F Gb A

b9 C#/Db D D#/Eb E F#/Gb A A#/Bb

9 D D#/Eb E F G A#/Bb B

m3 D#/Eb E F F#/Gb G#/Ab B C

E F F#/Gb G A C C#/Db

4 F F#/Gb G G#/Ab A#/Bb C#/Db D

b5 F#/Gb G G#/Ab A B D D#/Eb

5 G G#/Ab A A#/Bb C D#/Eb E

+5 G#/Ab A A#/Bb B C#/Db E F

6 A A#/Bb B C D F F#/Gb

b7 A#/Bb B C C#/Db D#/Eb F#/Gb G

B C C#/Db D E G G#/Ab

1 C C#/Db D D#/Eb F G#/Ab A



+9 D#/Eb E F F#/Gb G#/Ab B C

3 E F F#/Gb G A C C#/Db


+11 F#/Gb G G#/Ab A B D D#/Eb


b13 G#/Ab A A#/Bb B C#/Db E F





270

221. 1112313*

Chord

tone

Scale tone

221. 1112313 222. 1123131 223. 1231311 224. 2313111 225. 3131112 226. 1311123 227. 3111231


1 C Db D Eb F G# A



m3 D#/Eb E F F#/Gb G#/Ab B C

E F F#/Gb G A C C#/Db


b5 F#/Gb G G#/Ab A B D D#/Eb


+5 G#/Ab A A#/Bb B C#/Db E F




1 C C#/Db D D#/Eb F G#/Ab A



+9 D#/Eb E F F#/Gb G#/Ab B C

3 E F F#/Gb G A C C#/Db


+11 F#/Gb G G#/Ab A B D D#/Eb


b13 G#/Ab A A#/Bb B C#/Db E F





271

228. 1113123*

Chord

tone

Scale tone

228. 1113123 229. 1131231 230. 1312311 231. 3123111 232. 1231113 233. 2311131 234. 3111312


1 C Db D Eb F# G A

b9 C#/Db D D#/Eb E G G#/Ab A#/Bb

9 D D#/Eb E F G#/Ab A B

m3 D#/Eb E F F#/Gb A A#/Bb C

E F F#/Gb G A#/Bb B C#/Db

4 F F#/Gb G G#/Ab B C D

b5 F#/Gb G G#/Ab A C C#/Db D#/Eb

5 G G#/Ab A A#/Bb C#/Db D E

+5 G#/Ab A A#/Bb B D D#/Eb F

6 A A#/Bb B C D#/Eb E F#/Gb

b7 A#/Bb B C C#/Db E F G

B C C#/Db D F F#/Gb G#/Ab

1 C C#/Db D D#/Eb F#/Gb G A

b9 C#/Db D D#/Eb E G G#/Ab A#/Bb

9 D D#/Eb E F G#/Ab A B

+9 D#/Eb E F F#/Gb A A#/Bb C

3 E F F#/Gb G A#/Bb B C#/Db

11 F F#/Gb G G#/Ab B C D

+11 F#/Gb G G#/Ab A C C#/Db D#/Eb

5 G G#/Ab A A#/Bb C#/Db D E

b13 G#/Ab A A#/Bb B D D#/Eb F

13 A A#/Bb B C D#/Eb E F#/Gb

b7 A#/Bb B C C#/Db E F G

B C C#/Db D F F#/Gb G#/Ab


272

235. 1113132*

Chord

tone

Scale tone

235. 1113132 236. 1131321 237. 1313211 238. 3132111 239. 1321113 240. 3211131 241. 2111313


1 C Db D Eb Gb G Bb

b9 C#/Db D D#/Eb E G G#/Ab B

9 D D#/Eb E F G#/Ab A C

m3 D#/Eb E F F#/Gb A A#/Bb C#/Db

E F F#/Gb G A#/Bb B D

4 F F#/Gb G G#/Ab B C D#/Eb

b5 F#/Gb G G#/Ab A C C#/Db E

5 G G#/Ab A A#/Bb C#/Db D F

+5 G#/Ab A A#/Bb B D D#/Eb F#/Gb

6 A A#/Bb B C D#/Eb E G

b7 A#/Bb B C C#/Db E F G#/Ab

B C C#/Db D F F#/Gb A

1 C C#/Db D D#/Eb F#/Gb G A#/Bb

b9 C#/Db D D#/Eb E G G#/Ab B

9 D D#/Eb E F G#/Ab A C

+9 D#/Eb E F F#/Gb A A#/Bb C#/Db

3 E F F#/Gb G A#/Bb B D

11 F F#/Gb G G#/Ab B C D#/Eb

+11 F#/Gb G G#/Ab A C C#/Db E

5 G G#/Ab A A#/Bb C#/Db D F

b13 G#/Ab A A#/Bb B D D#/Eb F#/Gb

13 A A#/Bb B C D#/Eb E G

b7 A#/Bb B C C#/Db E F G#/Ab

B C C#/Db D F F#/Gb A


273

242. 1113213*

Chord

tone

Scale tone

242. 1113213 243. 1132131 244. 1321311 245. 3213111 246. 2131113 247. 1311132 248. 3111321


1 C Db D Eb F# G# A

b9 C#/Db D D#/Eb E G A A#/Bb

9 D D#/Eb E F G#/Ab A#/Bb B

m3 D#/Eb E F F#/Gb A B C

E F F#/Gb G A#/Bb C C#/Db

4 F F#/Gb G G#/Ab B C#/Db D

b5 F#/Gb G G#/Ab A C D D#/Eb

5 G G#/Ab A A#/Bb C#/Db D#/Eb E

+5 G#/Ab A A#/Bb B D E F

6 A A#/Bb B C D#/Eb F F#/Gb

b7 A#/Bb B C C#/Db E F#/Gb G

B C C#/Db D F G G#/Ab

1 C C#/Db D D#/Eb F#/Gb G#/Ab A

b9 C#/Db D D#/Eb E G A A#/Bb

9 D D#/Eb E F G#/Ab A#/Bb B

+9 D#/Eb E F F#/Gb A B C

3 E F F#/Gb G A#/Bb C C#/Db

11 F F#/Gb G G#/Ab B C#/Db D

+11 F#/Gb G G#/Ab A C D D#/Eb

5 G G#/Ab A A#/Bb C#/Db D#/Eb E

b13 G#/Ab A A#/Bb B D E F

13 A A#/Bb B C D#/Eb F F#/Gb

b7 A#/Bb B C C#/Db E F#/Gb G

B C C#/Db D F G G#/Ab


274

249. 1113312*

Chord

tone

Scale tone

249. 1113312 250. 1133121 251. 1331211 252. 3312111 253. 3121113 254. 1211133 255. 2111331


1 C Db D Eb F# A Bb

b9 C#/Db D D#/Eb E G A#/Bb B

9 D D#/Eb E F G#/Ab B C

m3 D#/Eb E F F#/Gb A C C#/Db

E F F#/Gb G A#/Bb C#/Db D

4 F F#/Gb G G#/Ab B D D#/Eb

b5 F#/Gb G G#/Ab A C D#/Eb E

5 G G#/Ab A A#/Bb C#/Db E F

+5 G#/Ab A A#/Bb B D F F#/Gb

6 A A#/Bb B C D#/Eb F#/Gb G

b7 A#/Bb B C C#/Db E G G#/Ab

B C C#/Db D F G#/Ab A

1 C C#/Db D D#/Eb F#/Gb A A#/Bb

b9 C#/Db D D#/Eb E G A#/Bb B

9 D D#/Eb E F G#/Ab B C

+9 D#/Eb E F F#/Gb A C C#/Db

3 E F F#/Gb G A#/Bb C#/Db D

11 F F#/Gb G G#/Ab B D D#/Eb

+11 F#/Gb G G#/Ab A C D#/Eb E

5 G G#/Ab A A#/Bb C#/Db E F

b13 G#/Ab A A#/Bb B D F F#/Gb

13 A A#/Bb B C D#/Eb F#/Gb G

b7 A#/Bb B C C#/Db E G G#/Ab

B C C#/Db D F G#/Ab A


275

256. 1121133*

Chord

tone

Scale tone

256. 1121133 257. 1211331 258. 2113311 259. 1133112 260. 1331121 261. 3311211 262. 3112113


1 C Db D E F Gb A

b9 C#/Db D D#/Eb F F#/Gb G A#/Bb

9 D D#/Eb E F#/Gb G G#/Ab B

m3 D#/Eb E F G G#/Ab A C

E F F#/Gb G#/Ab A A#/Bb C#/Db

4 F F#/Gb G A A#/Bb B D

b5 F#/Gb G G#/Ab A#/Bb B C D#/Eb

5 G G#/Ab A B C C#/Db E

+5 G#/Ab A A#/Bb C C#/Db D F

6 A A#/Bb B C#/Db D D#/Eb F#/Gb

b7 A#/Bb B C D D#/Eb E G

B C C#/Db D#/Eb E F G#/Ab

1 C C#/Db D E F F#/Gb A

b9 C#/Db D D#/Eb F F#/Gb G A#/Bb

9 D D#/Eb E F#/Gb G G#/Ab B

+9 D#/Eb E F G G#/Ab A C

3 E F F#/Gb G#/Ab A A#/Bb C#/Db

11 F F#/Gb G A A#/Bb B D

+11 F#/Gb G G#/Ab A#/Bb B C D#/Eb

5 G G#/Ab A B C C#/Db E

b13 G#/Ab A A#/Bb C C#/Db D F

13 A A#/Bb B C#/Db D D#/Eb F#/Gb

b7 A#/Bb B C D D#/Eb E G

B C C#/Db D#/Eb E F G#/Ab


276

263. 3131121*

Chord

tone

Scale tone

263. 3131121 264. 1311213 265. 3112131 266. 1121313 267. 1213131 268. 2131311 269. 1313112


1 C Eb E G Ab A B

b9 C#/Db E F G#/Ab A A#/Bb C

9 D F F#/Gb A A#/Bb B C#/Db

m3 D#/Eb F#/Gb G A#/Bb B C D

E G G#/Ab B C C#/Db D#/Eb

4 F G#/Ab A C C#/Db D E

b5 F#/Gb A A#/Bb C#/Db D D#/Eb F

5 G A#/Bb B D D#/Eb E F#/Gb

+5 G#/Ab B C D#/Eb E F G

6 A C C#/Db E F F#/Gb G#/Ab

b7 A#/Bb C#/Db D F F#/Gb G A

B D D#/Eb F#/Gb G G#/Ab A#/Bb

1 C D#/Eb E G G#/Ab A B

b9 C#/Db E F G#/Ab A A#/Bb C

9 D F F#/Gb A A#/Bb B C#/Db

+9 D#/Eb F#/Gb G A#/Bb B C D

3 E G G#/Ab B C C#/Db D#/Eb

11 F G#/Ab A C C#/Db D E

+11 F#/Gb A A#/Bb C#/Db D D#/Eb F

5 G A#/Bb B D D#/Eb E F#/Gb

b13 G#/Ab B C D#/Eb E F G

13 A C C#/Db E F F#/Gb G#/Ab

b7 A#/Bb C#/Db D F F#/Gb G A

B D D#/Eb F#/Gb G G#/Ab A#/Bb


277

270. 1131312*

Chord

tone

Scale tone

270. 1131312 271. 1313121 272. 3131211 273. 1312113 274. 3121131 275. 1211313 276. 2113131


1 C Db D F Gb A Bb

b9 C#/Db D D#/Eb F#/Gb G A#/Bb B

9 D D#/Eb E G G#/Ab B C

m3 D#/Eb E F G#/Ab A C C#/Db

E F F#/Gb A A#/Bb C#/Db D

4 F F#/Gb G A#/Bb B D D#/Eb

b5 F#/Gb G G#/Ab B C D#/Eb E

5 G G#/Ab A C C#/Db E F

+5 G#/Ab A A#/Bb C#/Db D F F#/Gb

6 A A#/Bb B D D#/Eb F#/Gb G

b7 A#/Bb B C D#/Eb E G G#/Ab

B C C#/Db E F G#/Ab A

1 C C#/Db D F F#/Gb A A#/Bb

b9 C#/Db D D#/Eb F#/Gb G A#/Bb B

9 D D#/Eb E G G#/Ab B C

+9 D#/Eb E F G#/Ab A C C#/Db

3 E F F#/Gb A A#/Bb C#/Db D

11 F F#/Gb G A#/Bb B D D#/Eb

+11 F#/Gb G G#/Ab B C D#/Eb E

5 G G#/Ab A C C#/Db E F

b13 G#/Ab A A#/Bb C#/Db D F F#/Gb

13 A A#/Bb B D D#/Eb F#/Gb G

b7 A#/Bb B C D#/Eb E G G#/Ab

B C C#/Db E F G#/Ab A


278

scale incorporates Pentatonic Minor 32232

scale incorporates Pentatonic Lydian 32232

index of scales Part 1 (generally useful scales) Topology 5.1 (2,2,2,3,3)

Scale Name or structure Numeric check

1. Pentatonic Minor 3223232232

2. Pentatonic Major 2232322323

3. Yo 2323223232

4. Man Gong 3232232322

5. Ritusen 2322323223

6. Pentatonic Lydian 2223322233

7. 22332 2233222332

8. 23322 2332223322

9. 33222 3322233222

10. 32223 3222332223

Topology 7.1 (1,1,2,2,2,2,2)

11. Major/Ionian 22122212212221

12. Dorian 21222122122212

13. Phrygian 12221221222122

14. Lydian 22212212221221

15. Mixolydian 22122122212212

16. Aeolian 21221222122122

17. Locrian 12212221221222

18. Melodic (Jazz) Minor 21222212122221

19. Dorian b2 12222121222212

20. Lydian #5 22221212222121

21. Lydian b7 22212122221212

22. Mixolydian b6 22121222212122

23. Semilocrian 21212222121222

24. Superlocrian 12122221212222

25. Neapolitan Major 12222211222221

26. Leading Whole Tone 22222112222211

27. Lydian #5b7 22221122222112

28. Lydian b6b7 22211222221122

29. Major Locrian 22112222211222

30. Semilocrian b4 21122222112222

31. Superlocrian bb3 11222221122222

Topology 7.2 (1,1,1,2,2,2,3)

32. Neapolitan Minor 12221311222131

33. Lydian #6 22213112221311

34. Mixolydian #5 22131122213112

35. Hungarian Gypsy 21311222131122

36. Locrian #3 13112221311222

37. Ionian #2 31122213112221

38. Ultralocrian bb3 11222131122213

39. Harmonic Major 22121312212131

40. Dorian b5 21213122121312

41. Phrygian b4 12131221213122

42. Lydian b3 21312212131221

43. Mixolydian b2 13122121312212

44. Lydian #2#5 31221213122121

45. Locrian b7 12212131221213

46. Harmonic Minor 21221312122131

47. Locrian #6 12213121221312

48. Ionian Augmented 22131212213121

49. Romanian 21312122131212

50. Phrygian Dominant 13121221312122

51. Lydian #2 31212213121221

52. Ultralocrian 12122131212213

53. Hungarian Major 31212123121212

54. Superlocrian bb6bb7 12121231212123

55. Harmonic minor b5 21212312121231

56. Superlocrian #6 12123121212312

57. Melodic minor #5 21231212123121

58. Dorian b2#4 12312121231212

59. Lydian #3#5 23121212312121

60. Phrygian #4 12311221231122

61. Lydian #3 23112212311221

62. Mixolydian #2 31122123112212

63. Aeolian #1 11221231122123

64. Locrian #7 12212311221231

65. Ionian #6 22123112212311

66. Dorian #5 21231122123112

67. Ionian b2 13122211312221

68. Dorian b1 31222113122211

69. Phrygian b7 12221131222113

70. Lydian b6 22211312221131

71. Mixolydian b5 22113122211312

72. Aeolian b4 21131222113122

73. Locrian b3 11312221131222

74. Lydian b2 13212211321221

75. Mixolydian b1 32122113212211

76. Aeolian b7 21221132122113

77. Locrian b6 12211321221132

78. Ionian b5 22113212211321

79. Dorian b4 21132122113212

80. Phrygian b3 11321221132122

81. Lydian Diminished 21321212132121

82. 1321212 13212121321212

83. 3212121 32121213212121

84. 2121213 21212132121213

85. 1212132 12121321212132

86. 2121321 21213212121321

87. 1213212 12132121213212

279



88. Scala Enigmata 13222111322211

89. 3222111 32221113222111

90. 2221113 22211132221113

91. 2211132 22111322211132

92. 2111322 21113222111322

93. 1113222 11132221113222

94. 1132221 11322211132221

95. 2122311 21223112122311

96. 1223112 12231121223112

97. 2231121 22311212231121

98. 2311212 23112122311212

99. 3112122 31121223112122

100. 1121223 11212231121223

101. 1212231 12122311212231

102. 1231221 12312211231221

103. 2312211 23122112312211

104. 3122112 31221123122112

105. 1221123 12211231221123

106. 2211231 22112312211231

107. 2112312 21123122112312

108. 1123122 11231221123122

109. 1321122 13211221321122

110. 3211221 32112213211221

111. 2112213 21122132112213

112. 1122132 11221321122132

113. 1221321 12213211221321

114. 2213211 22132112213211

115. 2132112 21321122132112

116. 2211123 22111232211123

117. 2111232 21112322111232

118. 1112322 11123221112322

119. 1123221 11232211123221

120. 1232211 12322111232211

121. 2322111 23221112322111

122. 3221112 32211123221112

123. 1222311 12223111222311

124. 2223111 22231112223111

125. 2231112 22311122231112

126. 2311122 23111222311122

127. 3111222 31112223111222

128. 1112223 11122231112223

129. 1122231 11222311122231

130. 2112231 21122312112231

131. 1122312 11223121122312

132. 1223121 12231211223121

133. 2231211 22312112231211

134. 2312112 23121122312112

135. 3121122 31211223121122

136. 1211223 12112231211223

137. 1112232 11122321112232

138. 1122321 11223211122321

139. 1223211 12232111223211

140. 2232111 22321112232111

141. 2321112 23211122321112

142. 3211122 32111223211122

143. 2111223 21112232111223

144. 1211232 12112321211232

145. 2112321 21123212112321

146. 1123212 11232121123212

147. 1232121 12321211232121

148. 2321211 23212112321211

149. 3212112 32121123212112

150. 2121123 21211232121123

151. 1121232 11212321121232

152. 1212321 12123211212321

153. 2123211 21232112123211

154. 1232112 12321121232112

155. 2321121 23211212321121

156. 3211212 32112123211212

157. 2112123 21121232112123

158. 2211213 22112132211213

159. 2112132 21121322112132

160. 1121322 11213221121322

161. 1213221 12132211213221

162. 2132211 21322112132211

163. 1322112 13221121322112

164. 3221121 32211213221121

165. 2212113 22121132212113

166. 2121132 21211322121132

167. 1211322 12113221211322

168. 2113221 21132212113221

169. 1132212 11322121132212

170. 1322121 13221211322121

171. 3221211 32212113221211

Topology 7.3 (1,1,1,1,2,3,3)

172. Hungarian Minor 21311312131131

173. Oriental 13113121311312

174. Ionian augmented #2 31131213113121

175. Locrian bb3bb7 11312131131213

176. Double Harmonic Major 13121311312131

177. Lydian #2#6 31213113121311

178. Ultraphrygian 12131131213113

179. 1321131 13211311321131

180. 3211311 32113113211311

181. 2113113 21131132113113

182. 1131132 11311321131132

183. 1311321 13113211311321

184. 3113211 31132113113211

280



185. 1132113 11321131132113

186. 1231131 12311311231131

187. 2311311 23113112311311

188. 3113112 31131123113112

189. 1131123 11311231131123

190. 1311231 13112311311231

191. 3112311 31123113112311

192. 1123113 11231131123113

193. 1111233 11112331111233

194. 1112331 11123311112331

195. 1123311 11233111123311

196. 1233111 12331111233111

197. 2331111 23311112331111

198. 3311112 33111123311112

199. 3111123 31111233111123

200. 1111323 11113231111323

201. 1113231 11132311113231

202. 1132311 11323111132311

203. 1323111 13231111323111

204. 3231111 32311113231111

205. 2311113 23111132311113

206. 3111132 31111323111132

207. 1111332 11113321111332

208. 1113321 11133211113321

209. 1133211 11332111133211

210. 1332111 13321111332111

211. 3321111 33211113321111

212. 3211113 32111133211113

213. 2111133 21111332111133

214. 1112133 11121331112133

215. 1121331 11213311121331

216. 1213311 12133111213311

217. 2133111 21331112133111

218. 1331112 13311121331112

219. 3311121 33111213311121

220. 3111213 31112133111213

221. 1112313 11123131112313

222. 1123131 11231311123131

223. 1231311 12313111231311

224. 2313111 23131112313111

225. 3131112 31311123131112

226. 1311123 13111231311123

227. 3111231 31112313111231

228. 1113123 11131231113123

229. 1131231 11312311131231

230. 1312311 13123111312311

231. 3123111 31231113123111

232. 1231113 12311131231113

233. 2311131 23111312311131

234. 3111312 31113123111312

235. 1113132 11131321113132

236. 1131321 11313211131321

237. 1313211 13132111313211

238. 3132111 31321113132111

239. 1321113 13211131321113

240. 3211131 32111313211131

241. 2111313 21113132111313

242. 1113213 11132131113213

243. 1132131 11321311132131

244. 1321311 13213111321311

245. 3213111 32131113213111

246. 2131113 21311132131113

247. 1311132 13111321311132

248. 3111321 31113213111321

249. 1113312 11133121113312

250. 1133121 11331211133121

251. 1331211 13312111331211

252. 3312111 33121113312111

253. 3121113 31211133121113

254. 1211133 12111331211133

255. 2111331 21113312111331

256. 1121133 11211331121133

257. 1211331 12113311211331

258. 2113311 21133112113311

259. 1133112 11331121133112

260. 1331121 13311211331121

261. 3311211 33112113311211

262. 3112113 31121133112113

263. 3131121 31311213131121

264. 1311213 13112131311213

265. 3112131 31121313112131

266. 1121313 11213131121313

267. 1213131 12131311213131

268. 2131311 21313112131311

269. 1313112 13131121313112

270. 1131312 11313121131312

271. 1313121 13131211313121

272. 3131211 31312113131211

273. 1312113 13121131312113

274. 3121131 31211313121131

275. 1211313 12113131211313

276. 2113131 21131312113131

281



Part 2 (somewhat less useful and in

some cases downright useless scales) Topology 5.2 (1,2,2,3,4)

Scale Intervallic structure Numeric check

277. 12234 1223412234

278. 22341 2234122341

279. 23412 2341223412

280. 34122 3412234122

281. 41223 4122341223

282. 12243 1224312243

283. 22431 2243122431

284. 24312 2431224312

285. 43122 4312243122

286. 31224 3122431224

287. 12324 1232412324

288. 23241 2324123241

289. 32412 3241232412

290. 24123 2412324123

291. 41232 4123241232

292. 12342 1234212342

293. 23421 2342123421

294. 34212 3421234212

295. 42123 4212342123

296. 21234 2123421234

297. 12423 1242312423

298. 24231 2423124231

299. 42312 4231242312

300. 23124 2312423124

301. 31242 3124231242

302. 12432 1243212432

303. 24321 2432124321

304. 43212 4321243212

305. 32124 3212432124

306. 21243 2124321243

307. 13224 1322413224

308. 32241 3224132241

309. 22413 2241322413

310. 24132 2413224132

311. 41322 4132241322

312. 13242 1324213242

313. 32421 3242132421

314. 24213 2421324213

315. 42132 4213242132

316. 21324 2132421324

317. 13422 1342213422

318. 34221 3422134221

319. 42213 4221342213

320. 22134 2213422134

321. 21342 2134221342

322. 14223 1422314223

323. 22314 2231422314

324. 23142 2314223142

325. 31422 3142231422

326. 42231 4223142231

327. 14232 1423214232

328. 42321 4232142321

329. 23214 2321423214

330. 32142 3214232142

331. 21423 2142321423

332. 14322 1432214322

333. 4322 4322143221

334. 32214 3221432214

335. 22143 2214322143

336. 21432 2143221432

Topology 5.3 (1,1,2,4,4)

337. 11244 1124411244

338. 12441 1244112441

339. 24411 2441124411

340. 44112 4411244112

341. 41124 4112441124

342. 11424 1142411424

343. 14241 1424114241

344. 42411 4241142411

345. 24114 2411424114

346. 41142 4114241142

347. 11442 1144211442

348. 14421 1442114421

349. 44211 4421144211

350. 42114 4211442114

351. 21144 2114421144

352. 12144 1214412144

353. 21441 2144121441

354. 14412 1441214412

355. 44121 4412144121

356. 41214 4121441214

357. 12414 1241412414

358. 24141 2414124141

359. 41412 4141241412

360. 14124 1412414124

361. 41241 4124141241

362. 14142 1414214142

363. 41421 4142141421

364. 14214 1421414214

365. 42141 4214142141

366. 21414 2141421414

282



Topology 5.4 (1,1,3,3,4)

367. 11334 1133411334

368. 13341 1334113341

369. 33411 3341133411

370. 34113 3411334113

371. 41133 4113341133

372. 11343 1134311343

373. 13431 1343113431

374. 34311 3431134311

375. 43113 4311343113

376. 31134 3113431134

377. 11433 1143311433

378. 14331 1433114331

379. 43311 4331143311

380. 33114 3311433114

381. 31143 3114331143

382. 13134 1313413134

383. 31341 3134131341

384. 13413 1341313413

385. 34131 3413134131

386. 41313 4131341313

387. 13143 1314313143

388. 31431 3143131431

389. 14313 1431314313

390. 43131 4313143131

391. 31314 3131431314

392. 13314 1331413314

393. 33141 3314133141

394. 31413 3141331413

395. 14133 1413314133

396. 41331 4133141331

Topology 6.1 (1,2,2,2,2,3)

397. 122223 122223122223

398. 222231 222231222231

399. 222312 222312222312

400. 223122 223122223122

401. 231222 231222231222

402. 312222 312222312222

403. 223212 223212223212

404. 232122 232122232122

405. 321222 321222321222

406. 212223 212223212223

407. 122232 122232122232

408. 222321 222321222321

409. 223221 223221223221

410. 232212 232212232212

411. 322122 322122322122

412. 221223 221223221223

413. 212232 212232212232

414. 122322 122322122322

415. 222123 222123222123

416. 221232 221232221232

417. 212322 212322212322

418. 123222 123222123222

419. 232221 232221232221

420. 322212 322212322212

421. 132222 132222132222

422. 322221 322221322221

423. 222213 222213222213

424. 222132 222132222132

425. 221322 221322221322

426. 213222 213222213222

Topology 6.2 (1,1,2,2,3,3)

427. 112233 112233112233

428. 122331 122331122331

429. 223311 223311223311

430. 233112 233112233112

431. 331122 331122331122

432. 311223 311223311223

433. 112323 112323112323

434. 123231 123231123231

435. 232311 232311232311

436. 323112 323112323112

437. 231123 231123231123

438. 311232 311232311232

439. 112332 112332112332

440. 123321 123321123321

441. 233211 233211233211

442. 332112 332112332112

443. 321123 321123321123

444. 211233 211233211233

445. 121233 121233121233

446. 212331 212331212331

447. 123312 123312123312

448. 233121 233121233121

449. 331212 331212331212

450. 312123 312123312123

451. 121323 121323121323

452. 213231 213231213231

453. 132312 132312132312

454. 323121 323121323121

455. 231213 231213231213

456. 312132 312132312132

457. 121332 121332121332

458. 213321 213321213321

459. 133212 133212133212

460. 332121 332121332121

283



461. 321213 321213321213

462. 212133 212133212133

463. 211323 211323211323

464. 113232 113232113232

465. 132321 132321132321

466. 323211 323211323211

467. 232113 232113232113

468. 321132 321132321132

469. 211332 211332211332

470. 113322 113322113322

471. 133221 133221133221

472. 332211 332211332211

473. 322113 322113322113

474. 221133 221133221133

475. 223113 223113223113

476. 231132 231132231132

477. 311322 311322311322

478. 113223 113223113223

479. 132231 132231132231

480. 322311 322311322311

481. 131223 131223131223

482. 312231 312231312231

483. 122313 122313122313

484. 223131 223131223131

485. 231312 231312231312

486. 313122 313122313122

487. 131232 131232131232

488. 312321 312321312321

489. 123213 123213123213

490. 232131 232131232131

491. 321312 321312321312

492. 213123 213123213123

493. 131322 131322131322

494. 313221 313221313221

495. 132213 132213132213

496. 322131 322131322131

497. 221313 221313221313

498. 213132 213132213132

499. 221331 221331221331

500. 213312 213312213312

501. 133122 133122133122

502. 331221 331221331221

503. 312213 312213312213

504. 122133 122133122133

505. 212313 212313212313

506. 123132 123132123132

507. 231321 231321231321

508. 313212 313212313212

509. 132123 132123132123

510. 321231 321231321231

511. 123123 123123123123

512. 231231 231231231231

513. 312312 312312312312

514. 132132 132132132132

515. 321321 321321321321

516. 213213 213213213213

Topology 6.3 (1,1,2,2,2,4)

517. 112224 112224112224

518. 122241 122241122241

519. 222411 222411222411

520. 224112 224112224112

521. 241122 241122241122

522. 411222 411222411222

523. 112242 112242112242

524. 122421 122421122421

525. 224211 224211224211

526. 242112 242112242112

527. 421122 421122421122

528. 211224 211224211224

529. 112422 112422112422

530. 124221 124221124221

531. 242211 242211242211

532. 422112 422112422112

533. 221124 221124221124

534. 211242 211242211242

535. 114222 114222114222

536. 142221 142221142221

537. 422211 422211422211

538. 222114 222114222114

539. 221142 221142221142

540. 211422 211422211422

541. 121224 121224121224

542. 212241 212241212241

543. 122412 122412122412

544. 224121 224121224121

545. 241212 241212241212

546. 412122 412122412122

547. 121242 121242121242

548. 212421 212421212421

549. 124212 124212124212

550. 242121 242121242121

551. 421212 421212421212

552. 212124 212124212124

553. 121422 121422121422

554. 214221 214221214221

555. 142212 142212142212

556. 422121 422121422121

557. 221214 221214221214

284



558. 212142 212142212142

559. 124122 124122124122

560. 241221 241221241221

561. 412212 412212412212

562. 122124 122124122124

563. 221241 221241221241

564. 212412 212412212412

565. 122142 122142122142

566. 221421 221421221421

567. 214212 214212214212

568. 142122 142122142122

569. 421221 421221421221

570. 212214 212214212214

571. 122214 122214122214

572. 222141 222141222141

573. 221412 221412221412

574. 214122 214122214122

575. 141222 141222141222

576. 412221 412221412221

Topology 6.4 (1,1,1,2,3,4)

577. 111234 111234111234

578. 112341 112341112341

579. 123411 123411123411

580. 234111 234111234111

581. 341112 341112341112

582. 411123 411123411123

583. 111243 111243111243

584. 112431 112431112431

585. 124311 124311124311

586. 243111 243111243111

587. 431112 431112431112

588. 311124 311124311124

589. 111324 111324111324

590. 113241 113241113241

591. 132411 132411132411

592. 324111 324111324111

593. 241113 241113241113

594. 411132 411132411132

595. 111342 111342111342

596. 113421 113421113421

597. 134211 134211134211

598. 342111 342111342111

599. 421113 421113421113

600. 211134 211134211134

601. 111423 111423111423

602. 114231 114231114231

603. 142311 142311142311

604. 423111 423111423111

605. 231114 231114231114

606. 311142 311142311142

607. 111432 111432111432

608. 114321 114321114321

609. 143211 143211143211

610. 432111 432111432111

611. 321114 321114321114

612. 211143 211143211143

613. 112134 112134112134

614. 121341 121341121341

615. 213411 213411213411

616. 134112 134112134112

617. 341121 341121341121

618. 411213 411213411213

619. 112143 112143112143

620. 121431 121431121431

621. 214311 214311214311

622. 143112 143112143112

623. 431121 431121431121

624. 311214 311214311214

625. 112314 112314112314

626. 123141 123141123141

627. 231411 231411231411

628. 314112 314112314112

629. 141123 141123141123

630. 411231 411231411231

631. 112413 112413112413

632. 124131 124131124131

633. 241311 241311241311

634. 413112 413112413112

635. 131124 131124131124

636. 311241 311241311241

637. 113124 113124113124

638. 131241 131241131241

639. 312411 312411312411

640. 124113 124113124113

641. 241131 241131241131

642. 411312 411312411312

643. 113142 113142113142

644. 131421 131421131421

645. 314211 314211314211

646. 142113 142113142113

647. 421131 421131421131

648. 211314 211314211314

649. 113214 113214113214

650. 132141 132141132141

651. 321411 321411321411

652. 214113 214113214113

653. 141132 141132141132

654. 411321 411321411321

285



655. 113412 113412113412

656. 134121 134121134121

657. 341211 341211341211

658. 412113 412113412113

659. 121134 121134121134

660. 211341 211341211341

661. 114123 114123114123

662. 141231 141231141231

663. 412311 412311412311

664. 123114 123114123114

665. 231141 231141231141

666. 311412 311412311412

667. 114132 114132114132

668. 141321 141321141321

669. 413211 413211413211

670. 132114 132114132114

671. 321141 321141321141

672. 211413 211413211413

673. 114213 114213114213

674. 142131 142131142131

675. 421311 421311421311

676. 213114 213114213114

677. 131142 131142131142

678. 311421 311421311421

679. 114312 114312114312

680. 143121 143121143121

681. 431211 431211431211

682. 312114 312114312114

683. 121143 121143121143

684. 211431 211431211431

685. 121314 121314121314

686. 213141 213141213141

687. 131412 131412131412

688. 314121 314121314121

689. 141213 141213141213

690. 412131 412131412131

691. 121413 121413121413

692. 214131 214131214131

693. 141312 141312141312

694. 413121 413121413121

695. 131214 131214131214

696. 312141 312141312141

Topology 6.5 (1,1,1,3,3,3)

697. 111333 111333111333

698. 113331 113331113331

699. 133311 133311133311

700. 333111 333111333111

701. 331113 331113331113

702. 311133 311133311133

703. 113133 113133113133

704. 131331 131331131331

705. 313311 313311313311

706. 133113 133113133113

707. 331131 331131331131

708. 311313 311313311313

709. 113313 113313113313

710. 133131 133131133131

711. 331311 331311331311

712. 313113 313113313113

713. 131133 131133131133

714. 311331 311331311331

715. Augmented 313131313131

716. 131313 131313131313

Topology 6.6 (1,1,1,1,4,4)

717. 111144 111144111144

718. 111441 111441111441

719. 114411 114411114411

720. 144111 144111144111

721. 441111 441111441111

722. 411114 411114411114

723. 111414 111414111414

724. 114141 114141114141

725. 141411 141411141411

726. 414111 414111414111

727. 141114 141114141114

728. 411141 411141411141

729. 114114 114114114114

730. 141141 141141141141

731. 411411 411411411411

Topology 6.7 (2,2,2,2,2,2)

732. Whole Tone 222222222222

Topology 7.4 (1,1,1,1,2,2,4)

733. 1111224 11112241111224

734. 1112241 11122411112241

735. 1122411 11224111122411

736. 1224111 12241111224111

737. 2241111 22411112241111

738. 2411112 24111122411112

739. 4111122 41111224111122

740. 1111242 11112421111242

741. 1112421 11124211112421

742. 1124211 11242111124211

743. 1242111 12421111242111

286



744. 2421111 24211112421111

745. 4211112 42111124211112

746. 2111124 21111242111124

747. 1111422 11114221111422

748. 1114221 11142211114221

749. 1142211 11422111142211

750. 1422111 14221111422111

751. 4221111 42211114221111

752. 2211114 22111142211114

753. 2111142 21111422111142

754. 1112124 11121241112124

755. 1121241 11212411121241

756. 1212411 12124111212411

757. 2124111 21241112124111

758. 1241112 12411121241112

759. 2411121 24111212411121

760. 4111212 41112124111212

761. 1112142 11121421112142

762. 1121421 11214211121421

763. 1214211 12142111214211

764. 2142111 21421112142111

765. 1421112 14211121421112

766. 4211121 42111214211121

767. 2111214 21112142111214

768. 1112214 11122141112214

769. 1122141 11221411122141

770. 1221411 12214111221411

771. 2214111 22141112214111

772. 2141112 21411122141112

773. 1411122 14111221411122

774. 4111221 41112214111221

775. 1112412 11124121112412

776. 1124121 11241211124121

777. 1241211 12412111241211

778. 2412111 24121112412111

779. 4121112 41211124121112

780. 1211124 12111241211124

781. 2111241 21112412111241

782. 1114122 11141221114122

783. 1141221 11412211141221

784. 1412211 14122111412211

785. 4122111 41221114122111

786. 1221114 12211141221114

787. 2211141 22111412211141

788. 2111412 21114122111412

789. 1114212 11142121114212

790. 1142121 11421211142121

791. 1421211 14212111421211

792. 4212111 42121114212111

793. 2121114 21211142121114

794. 1211142 12111421211142

795. 2111421 21114212111421

796. 1121124 11211241121124

797. 1211241 12112411211241

798. 2112411 21124112112411

799. 1124112 11241121124112

800. 1241121 12411211241121

801. 2411211 24112112411211

802. 4112112 41121124112112

803. 1121142 11211421121142

804. 1211421 12114211211421

805. 2114211 21142112114211

806. 1142112 11421121142112

807. 1421121 14211211421121

808. 4211211 42112114211211

809. 2112114 21121142112114

810. 1121214 11212141121214

811. 1212141 12121411212141

812. 2121411 21214112121411

813. 1214112 12141121214112

814. 2141121 21411212141121

815. 1411212 14112121411212

816. 4112121 41121214112121

817. 1121412 11214121121412

818. 1214121 12141211214121

819. 2141211 21412112141211

820. 1412112 14121121412112

821. 4121121 41211214121121

822. 1211214 12112141211214

823. 2112141 21121412112141

824. 1122114 11221141122114

825. 1221141 12211411221141

826. 2211411 22114112211411

827. 2114112 21141122114112

828. 1141122 11411221141122

829. 1411221 14112211411221

830. 4112211 41122114112211

831. 1141212 11412121141212

832. 1412121 14121211412121

833. 4121211 41212114121211

834. 1212114 12121141212114

835. 2121141 21211412121141

836. 1211412 12114121211412

837. 2114121 21141212114121

Topology 7.5 (1,1,1,1,1,3,4)

838. 1111134 11111341111134

839. 1111341 11113411111341

840. 1113411 11134111113411

287



841. 1134111 11341111134111

842. 1341111 13411111341111

843. 3411111 34111113411111

844. 4111113 41111134111113

845. 1111143 11111431111143

846. 1111431 11114311111431

847. 1114311 11143111114311

848. 1143111 11431111143111

849. 1431111 14311111431111

850. 4311111 43111114311111

851. 3111114 31111143111114

852. 1111314 11113141111314

853. 1113141 11131411113141

854. 1131411 11314111131411

855. 1314111 13141111314111

856. 3141111 31411113141111

857. 1411113 14111131411113

858. 4111131 41111314111131

859. 1111413 11114131111413

860. 1114131 11141311114131

861. 1141311 11413111141311

862. 1413111 14131111413111

863. 4131111 41311114131111

864. 1311114 13111141311114

865. 3111141 31111413111141

866. 1113114 11131141113114

867. 1131141 11311411131141

868. 1311411 13114111311411

869. 3114111 31141113114111

870. 1141113 11411131141113

871. 1411131 14111311411131

872. 4111311 41113114111311

873. 1141131 11411311141131

874. 1411311 14113111411311

875. 4113111 41131114113111

876. 1131114 11311141131114

877. 1311141 13111411311141

878. 3111411 31114113111411

879. 1114113 11141131114113

Topology 8.1 (1,1,1,1,2,2,2,2)

880. Be-bop major 2212112122121121

881. 21211212 2121121221211212

882. 12112122 1211212212112122

883. 21121221 2112122121121221

884. 11212212 1121221211212212

885. 12122121 1212212112122121

886. 21221211 2122121121221211

887. 12212112 1221211212212112

888. Be-bop dominant 2212211122122111

889. 21221112 2122111221221112

890. Be-bop locrian 1221112212211122

891. 22111221 2211122122111221

892. Be-bop dorian 2111221221112212

893. 11122122 1112212211122122

894. 11221221 1122122111221221

895. 12212211 1221221112212211

896. Be-bop minor 2122112121221121

897. 12211212 1221121212211212

898. 22112121 2211212122112121

899. 21121212 2112121221121212

900. 11212122 1121212211212122

901. 12121221 1212122112121221

902. 21212211 2121221121212211

903. 12122112 1212211212122112

904. 22121112 2212111222121112

905. 21211122 2121112221211122

906. 12111222 1211122212111222

907. 21112221 2111222121112221

908. 11122212 1112221211122212

909. 11222121 1122212111222121

910. 12221211 1222121112221211

911. 22212111 2221211122212111

912. 22121211 2212121122121211

913. 21212112 2121211221212112

914. 12121122 1212112212121122

915. 21211221 2121122121211221

916. 12112212 1211221212112212

917. 21122121 2112212121122121

918. 11221212 1122121211221212

919. 12212121 1221212112212121

920. 22112112 2211211222112112

921. 21121122 2112112221121122

922. 11211222 1121122211211222

923. 12112221 1211222112112221

924. 21122211 2112221121122211

925. 11222112 1122211211222112

926. 12221121 1222112112221121

927. 22211211 2221121122211211

928. 22111212 2211121222111212

929. 21112122 2111212221112122

288



930. 11121222 1112122211121222

931. 11212221 1121222111212221

932. 12122211 1212221112122211

933. 21222111 2122211121222111

934. 12221112 1222111212221112

935. 22211121 2221112122211121

936. 22111122 2211112222111122

937. 21111222 2111122221111222

938. 11112222 1111222211112222

939. 11122221 1112222111122221

940. 11222211 1122221111222211

941. 12222111 1222211112222111

942. 22221111 2222111122221111

943. 22211112 2221111222211112

944. 22112211 2211221122112211

945. 21122112 2112211221122112

946. 11221122 1122112211221122

947. 12211221 1221122112211221

948. Diminished 2121212121212121

949. Octatonic 1212121212121212

Topology 8.2 (1,1,1,1,1,2,2,3)

950. 11211213 1121121311211213

951. 12112131 1211213112112131

952. 21121311 2112131121121311

953. 11213112 1121311211213112

954. 12131121 1213112112131121

955. 21311211 2131121121311211

956. 13112112 1311211213112112

957. 31121121 3112112131121121

958. 11211312 1121131211211312

959. 12113121 1211312112113121

960. 21131211 2113121121131211

961. 11312112 1131211211312112

962. 13121121 1312112113121121

963. 31211211 3121121131211211

964. 12112113 1211211312112113

965. 21121131 2112113121121131

966. 11212113 1121211311212113

967. 12121131 1212113112121131

968. 21211311 2121131121211311

969. 12113112 1211311212113112

970. 21131121 2113112121131121

971. 11311212 1131121211311212

972. 13112121 1311212113112121

973. 31121211 3112121131121211

974. 11121123 1112112311121123

975. 11211231 1121123111211231

976. 12112311 1211231112112311

977. 21123111 2112311121123111

978. 11231112 1123111211231112

979. 12311121 1231112112311121

980. 23111211 2311121123111211

981. 31112112 3111211231112112

982. 11121132 1112113211121132

983. 11211321 1121132111211321

984. 12113211 1211321112113211

985. 21132111 2113211121132111

986. 11321112 1132111211321112

987. 13211121 1321112113211121

988. 32111211 3211121132111211

989. 21112113 2111211321112113

990. 11121213 1112121311121213

991. 11212131 1121213111212131

992. 12121311 1212131112121311

993. 21213111 2121311121213111

994. 12131112 1213111212131112

995. 21311121 2131112121311121

996. 13111212 1311121213111212

997. 31112121 3111212131112121

998. 11121312 1112131211121312

999. 11213121 1121312111213121

1000. 12131211 1213121112131211

1001. 21312111 2131211121312111

1002. 13121112 1312111213121112

1003. 31211121 3121112131211121

1004. 12111213 1211121312111213

1005. 21112131 2111213121112131

1006. 11122113 1112211311122113

1007. 11221131 1122113111221131

1008. 12211311 1221131112211311

1009. 22113111 2211311122113111

1010. 21131112 2113111221131112

1011. 11311122 1131112211311122

1012. 13111221 1311122113111221

1013. 31112211 3111221131112211

1014. 11123112 1112311211123112

1015. 11231121 1123112111231121

1016. 12311211 1231121112311211

1017. 23112111 2311211123112111

1018. 31121112 3112111231121112

1019. 11211123 1121112311211123

1020. 12111231 1211123112111231

289



1021. 21112311 2111231121112311

1022. 11131122 1113112211131122

1023. 11311221 1131122111311221

1024. 13112211 1311221113112211

1025. 31122111 3112211131122111

1026. 11221113 1122111311221113

1027. 12211131 1221113112211131

1028. 22111311 2211131122111311

1029. 21113112 2111311221113112

1030. 11131212 1113121211131212

1031. 11312121 1131212111312121

1032. 13121211 1312121113121211

1033. 31212111 3121211131212111

1034. 12121113 1212111312121113

1035. 21211131 2121113121211131

1036. 12111312 1211131212111312

1037. 21113121 2111312121113121

1038. 11132112 1113211211132112

1039. 11321121 1132112111321121

1040. 13211211 1321121113211211

1041. 32112111 3211211132112111

1042. 21121113 2112111321121113

1043. 11211132 1121113211211132

1044. 12111321 1211132112111321

1045. 21113211 2111321121113211

1046. 11112123 1111212311112123

1047. 11121231 1112123111121231

1048. 11212311 1121231111212311

1049. 12123111 1212311112123111

1050. 21231111 2123111121231111

1051. 12311112 1231111212311112

1052. 23111121 2311112123111121

1053. 31111212 3111121231111212

1054. 11112132 1111213211112132

1055. 11121321 1112132111121321

1056. 11213211 1121321111213211

1057. 12132111 1213211112132111

1058. 21321111 2132111121321111

1059. 13211112 1321111213211112

1060. 32111121 3211112132111121

1061. 21111213 2111121321111213

1062. 11112213 1111221311112213

1063. 11122131 1112213111122131

1064. 11221311 1122131111221311

1065. 12213111 1221311112213111

1066. 22131111 2213111122131111

1067. 21311112 2131111221311112

1068. 13111122 1311112213111122

1069. 31111221 3111122131111221

1070. 11112312 1111231211112312

1071. 11123121 1112312111123121

1072. 11231211 1123121111231211

1073. 12312111 1231211112312111

1074. 23121111 2312111123121111

1075. 31211112 3121111231211112

1076. 12111123 1211112312111123

1077. 21111231 2111123121111231

1078. 11113122 1111312211113122

1079. 11131221 1113122111131221

1080. 11312211 1131221111312211

1081. 13122111 1312211113122111

1082. 31221111 3122111131221111

1083. 12211113 1221111312211113

1084. 22111131 2211113122111131

1085. 21111312 2111131221111312

1086. 11113212 1111321211113212

1087. 11132121 1113212111132121

1088. 11321211 1132121111321211

1089. 13212111 1321211113212111

1090. 32121111 3212111132121111

1091. 21211113 2121111321211113

1092. 12111132 1211113212111132

1093. 21111321 2111132121111321

1094. 11111223 1111122311111223

1095. 11112231 1111223111112231

1096. 11122311 1112231111122311

1097. 11223111 1122311111223111

1098. 12231111 1223111112231111

1099. 22311111 2231111122311111

1100. 23111112 2311111223111112

1101. 31111122 3111112231111122

1102. 11111232 1111123211111232

1103. 11112321 1111232111112321

1104. 11123211 1112321111123211

1105. 11232111 1123211111232111

1106. 12321111 1232111112321111

290



1107. 23211111 2321111123211111

1108. 32111112 3211111232111112

1109. 21111123 2111112321111123

1110. 11111322 1111132211111322

1111. 11113221 1111322111113221

1112. 11132211 1113221111132211

1113. 11322111 1132211111322111

1114. 13221111 1322111113221111

1115. 32211111 3221111132211111

1116. 22111113 2211111322111113

1117. 21111132 2111113221111132

291

blank scale and chord forms

292

Appendix A: I-IV-V cycles of the Pentatonic Minor and its modes

295

I-IV-V (blues) cycle of pentatonic scales in the key of E

You can solo over a I-IV-V blues/rock chord progression without leaving the tonic key. For example, you can solo over all

three chords of a I-IV-V in E (E7-A7-B7) using only the E pentatonic minor (top-left pattern below). Plenty of people play

that way.

Alternatively, you can follow the changes and match scales to chords for example, you could play A pentatonic minor

over the IV chord (A7) and B pentatonic minor over the V chord (B7). There are at least two ways to do this:

1. Shift the pattern at fret XII to the 5th fret for the A7 chord and to the 7th fret for B7 chord

2. Stay at the 12th fret and play the associated modes of A and B pentatonic minor for the IV and V chords

The diagrams below show I-IV-V cycles of the pentatonic minor and its four modes in the key of E. Memorizing how to

cycle through these patterns will open up the full length of the neck for you, especially if (like me) you have a tendency to

rely entirely too much on one pentatonic scale pattern (i.e., top-left pattern below).

E7 (I chord)

E Pentatonic Minor

A7 (IV chord) B7 (V chord)

XII XII XII

E7 (I chord)

G Penatatonic Major


III III III

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I-IV-

E7 (I chord)

A Yo


V V V

E7 (I chord)

B Man Gong


VII VII VII

VIII

E7 (I chord)

D Ritusen


X X X

297

Appendix B: One-note alterations of the Major Scale and its modes

298

One-note alterations of the Ionian mode (Major Scale)*

Ionian mode (2212221) Ionian b2 (1312221) FT† no. 88

Ionian #2 (3112221) 6° Neapolitan Minor

Ionian b3 (212221) Melodic Minor

Ionian #4 (2221221) 4° Major Scale Lydian mode

Ionian b5 (2211321) 5° FT no. 165

Ionian #5 (2213121) 3° Harmonic Minor Ionian Augmented

Ionian b6 (2212131) Harmonic Major

Ionian #6 (2212311) 6° FT no. 81

Ionian b7 (2212212) 5° Major Scale Mixolydian mode

* Scales plotted across two octaves plus 1st string mirrors 6th string † FT=Fretboard Topologies

299

One-note alterations of the Dorian mode

Dorian mode (2122212) Dorian b2 (1222212) 2° Melodic Minor

Dorian #3 (2212212) 5° Major Scale Mixolydian mode

Dorian b1 (3122211)

Dorian b4 (2113212) 6° FT† no. 165

Dorian #4 (2131212) 4° Harmonic Minor Romanian

Dorian b5 (2121312) 2° Harmonic Major

Dorian #5 (2123112) 7° FT no. 81

Dorian b6 (2122122) 6° Major Scale Aeolian mode

Dorian #7 (2122221) Melodic Minor


300

One-note alterations of the Phrygian mode*

Phrygian mode (1222122) Phrygian #2 (122122) 6° Major Scale Aeolian mode

Phrygian b3 (1132122) 7° FT† no. 165

Phrygian #3 (2122131) 5° of Harmonic Minor Phrygian Dominant

Phrygian b4 (1213122) 3° Harmonic Major

Phrygian #4 (1231122) FT no. 81

Phrygian b5 (1221222) 7° Major Scale Locrian mode

Phrygian #6 (1222212) 2° of Melodic Minor Dorian b9

Phrygian b7 (1222113) 3° FT no. 88

Phrygian #7 (1222131) Neapolitan Minor


301

One-note alterations of the Lydian mode*

Lydian mode (2221221) Lydian b2 (1321221) FT† no. 165

Lydian #2 (3121221) 6° Harmonic Minor

Lydian b3 (2131221) 4° Harmonic Major

Lydian #3 (2311221) 2° FT no. 81

Lydian b4 (2212221) Major Scale

Lydian #5 (2222121) 3° Melodic Minor Lydian Augmented

Lydian b6 (2221131) 4° FT no. 88

Lydian #6 (2221311) 2° Neapolitan Minor

Lydian b7 (2221212) 4° Melodic Minor Lydian Dominant


302

One-note alterations of the Mixolydian mode*

Mixolydian mode (2122122)

Mixolydian b2 (1312212) 5° Harmonic Major

Mixolydian #2 (3112212) 3° FT† no. 81

Mixolydian b1 (2122131)

Mixolydian b3 (2122212) 2° Major Scale Dorian mode

Mixolydian #4 (2221212) 4° Melodic Minor Lydian Dominant

Mixolydian b5 (2211312) 5° FT no. 88

Mixolydian #5 (2213112) 3° Neapolitan Minor Mixolydian Augmented

Mixolydian b6 (2212122) 5° Melodic Minor

Mixolydian #7 (2212221) Major Scale


303

One-note alterations of the Aeolian mode*

Aeolian mode (2122122) Aeolian b2 (1222122) 3° Major Scale Phrygian mode

Aeolian #3 (2212122) 5° Melodic Minor Mixolydian b6

Aeolian #1 (2122122)

Aeolian b4 (2113122) 6° FT† no. 88

Aeolian #4 (2131122) 4° Neapolitan Minor Hungarian Gypsy

Aeolian b5 (2121222) 6° Melodic Minor Semilocrian

Aeolian #6 (2122212) 2° Major Scale Dorian mode

Aeolian b7 (2122113) 3° FT no. 165

Aeolian #7 (2122131) Harmonic Minor


304

One-note alterations of the Locrian mode*

Locrian mode (1221222) Locrian #2 (2121222) 6° Melodic Minor Semilocrian

Locrian b3 (1131222) 7° FT† no. 88

Locrian #3 (1311222) 5° Neapolitan Minor Locrian Dominant

Locrian b4 (1212222) 7° Melodic Minor Superlocrian

Locrian #5 (1222122) 3° Major Scale Phrygian mode

Locrian b6 (1221132) 4° FT no. 165

Locrian #6 (1221312) 2° Harmonic Minor

Locrian b7 (1221213) 7° Harmonic Major

Locrian #7 (1221231) 5° FT no. 81


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Fretboard Topologies v.1.03 r120307

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