Cipher Formula

8/13/2019 Cipher Formula

1/18

Blumberg's

Music Theory CipherforGuitar

and other stringed instruments

Musical Number Formula Translation Tables:Intervals, Scales, and Chords

Roger Edward Blumberg Copyright 2002

Complements of www.TheCipher.com


2/18

Musical Number Formula Translation Tables:

Intervals, scales, and chords

Master Chart Summary Table One (materials of Major and minor)

Universal Speller Transposer

. . . and more . . .

Roger Edward Blumberg Copyright 2002

Complements of www.TheCipher.com

Blumberg's

Music Theory CipherforGuitar

and other stringed instruments


3/18

Copyright 2002 Roger Edward Blumberg Musical Number Formula Tanslation Tables 3

Intervals

Interval Number-Name Translation Tables

Table One

: Standard word-prefixed

interval number-names toCipher (or Chromatic) equivalents.

Figure 1-1

P 1st / dim. 2nd . . . . Unison . . . 0 - 0

min. 2nd . . . . . . . . . . . . . . . . . . . . . . . 0 - 1

Maj. 2nd / dim. 3rd. . . . . . . . . . . . . . 0 - 2

min. 3rd / Aug. 2nd . . . . . . . . . . . . . 0 - 3

Maj. 3rd . . . . . . . . . . . . . . . . . . . . . . . 0 - 4

P 4th /Aug. 3rd. . . . . . . . . . . . . . 0 - 5

Aug. 4th / dim. 5th . . . . . . . . . . . . . 0 - 6

P 5th . . . . . . . . . . . . . . . . . . . . . . . 0 - 7

Aug. 5th / min. 6th . . . . . . . . . . . . . . 0 - 8

Maj. 6th / dim. 7th . . . . . . . . . . . . . . 0 - 9

min. 7th . . . . . . . . . . . . . . . . . . . . . . . . 0 - 10

Maj. 7th . . . . . . . . . . . . . . . . . . . . . . . . 0 - 11

P 8th . . . . . . . . . . . . . Octave . . . 0 - 12

min. 9th . . . . . . . . . . . . . . . . . . . . . . . 0 - 13

Maj. 9nd . . . . . . . . . . . . . . . . . . . . . . . 0 - 14

min. 10th / Aug. 9th . . . . . . . . . . . . 0 - 15

Maj. 10th . . . . . . . . . . . . . . . . . . . . . . 0 - 16P 11th . . . . . . . . . . . . . . . . . . . . . . 0 - 17

Aug. 11th / dim. 12th . . . . . . . . . . . 0 - 18

P 12th . . . . . . . . . . . . . . . . . . . . . . 0 - 19

min. 13th / aug. 12th . . . . . . . . . . . . 0 - 20

Maj. 13th . . . . . . . . . . . . . . . . . . . . . . 0 - 21

min. 14th . . . . . . . . . . . . . . . . . . . . . . 0 - 22

Maj. 14th . . . . . . . . . . . . . . . . . . . . . . 0 - 23

P 15th . . . . . . . . . . . . Octave . . . 0 - 24

Standard Cipher *

Intervals

P = Perfect

Maj. = Major

min. = minor

Aug. = Augmented

dim. = diminished

distance or chromatic-position of the upper tone from zero (the tonic/root).* 0= Tonic or Root. The numbers to the rightof the dash represent the half-step

Italicized interval names are less common. They could be indicated in thesecond octave of tones as well


4/18

4 Blumbergs Music Theory Cipher www.TheCipher.com

Intervals


Table Two

: Standard accidental-mark prefixed

interval number-names,to Cipher (or Chromatic) equivalents.

Figure 1-2

1 = 0 2, 1 = 0

2 = 1

2 = 2

3, 2 = 2

3, 2 = 3

3 = 4 3 = 4

4 = 5 3, 4 = 5

5, 4 = 6

5 = 7 5 = 7

6, 5 = 8

6 = 9 7, 6 = 9

7 = 10

7 = 11 7 = 11

8 = 12 8 = 12

9 = 13

9 = 14 9 = 14

10, 9 = 15

10 = 16 10 = 16

11 = 17 11 = 17

12, 11 = 18

12 = 19 12 = 19

13, 12 = 20

13 = 21 14, 13 = 21

14 = 22

14 = 23 14 = 23

15 = 24 15 = 24

Standard Cipher

Major scale only All intervals

Standard Cipher


5/18


6/18


Intervals


Table Four

: Octave Equivalents. Associating simple and compound intervals. First-octaveand equivalent second-octave number-names of tones, standard and Cipher,(Major scale intervals only).

Figure 1-4

1st 2nd 3rd 4th 5th 6th 7th 8th| | | | | | | |

8th 9th 10th 11th 12th 13th 14th 15th

Major scale First Octave

Major scale Second Octave

Standard (plus or minus 7)

Octave equivalents(Major scale only)

0 2 4 5 7 9 11 12| | | | | | | |

12 14 16 17 19 21 23 24

Major scale First Octave

Major scale Second Octave

Cipher (plus or minus 12)


7/18


Scales

Scale Formula Translation Tables

Table One

: The Major and three minor scales. Standard scale-formula to Cipher (or chro-matic) equivalents. Scales are spelled in parallel

from a C tonic.

Figure 1-5

C, C/D, D, D/E, E, F, F/G, G, G/A, A, A/B, B, C

0 1 2 3 4 5 6 7 8 9 10 11 12

C chromatic scale reference

C D E F G A B C

1 - 1 - - 1 - 1 - 1 -

1 2 3 4 5 6 7 8

0 2 4 5 7 9 11 12

Major Scale

spelling

whole-steps

standard numbers

chromatic numbers Cipher

C D E F G A B C

1 - - 1 - 1 - - 1 - 1

1 2 3 4 5 6 7 8

0 2 3 5 7 8 10 12

Natural minor

spelling

whole-steps

Cipher

C D E F G A B C

1 - - 1 - 1 - - 1 -

1 2 3 4 5 6 7 8

0 2 3 5 7 8 11 12

spelling

whole-steps

Cipher

C D E F G A B C

1 - - 1 - 1 - 1 - 1 -

1 2 3 4 5 6 7 8

0 2 3 5 7 9 11 12

spelling

whole-steps

Cipher

Harmonic minor

* Melodic minor

The Major and three minor scales

Note, the melodic minor in the descending directionreverts to natural minor.

*


8/18


Scales

Scale Formula Translation Tables

Table Two

: Modal scales; the modes of Major (ecclesiastic or medieval church modes).Standard scale-formula to Cipher (or chromatic) equivalents.

Figure 1-6

1 2 3 4 5 6 7 8

0 2 4 5 7 9 11 12

Ionian

Cipher

Modes of Major

(Major)

1 2 3 4 5 6 7 8

0 2 3 5 7 9 10 12

Dorian

Cipher

1 2 3 4 5 6 7 8

0 1 3 5 7 8 10 12

Phrygian

Cipher

1 2 3 4 5 6 7 8

0 2 4 6 7 9 11 12

Lydian

Cipher

1 2 3 4 5 6 7 8

0 2 4 5 7 9 10 12

Mixolydian

Cipher

1 2 3 4 5 6 7 8

0 2 3 5 7 8 10 12

Aeolian

Cipher

1 2 3 4 5 6 7 8

0 1 3 5 6 8 10 12

Locrian

Cipher

(Nat minor)


9/18


10/18


11/18


Chords

Chord Formula Translation Tables

Table Two

: Chords grouped by size

. Standard root-position chord-formula to Cipher (orchromatic) equivalents. Not exhaustive, few altered chords, etc.

Figure 1-9

Major Triad R 3 5 0 - 4 - 7

Minor Triad R 3 5 0 - 3 - 7

Augmented Triad R 3 5 0 - 4 - 8

Diminished Triad R 3 5 0 - 3 - 6

Major Suspended R 4 5 0 - 5 - 7

Major Sixth R 3 5 6 0 - 4 - 7 - 9

Minor Sixth R 3 5 6 0 - 3 - 7 - 9

Major Seventh R 3 5 7 0 - 4 - 7 - 11

Minor Seventh R 3 5 7 0 - 3 - 7 - 10

Dominant Seventh R 3 5 7 0 - 4 - 7 - 10

Augmented Seventh R 3 5 7 0 - 4 - 8 - 10

Half-Dim Seventh R 3 5 7 0 - 3 - 6 - 10

Diminished Seventh R 3 5 7 0 - 3 - 6 - 9

Min./Maj. Seventh R 3 5 7 0 - 3 - 7 - 11

Dom. 7th Suspended R 4 5 7 0 - 5 - 7 - 10

Major Ninth R 3 5 7 9 0 - 4 - 7 - 11 - 14

Minor Ninth R 3 5 7 9 0 - 3 - 7 - 10 - 14

Dominant Ninth R 3 5 7 9 0 - 4 - 7 - 10 - 14

Major 6/9 R 3 5 6 9 0 - 4 - 7 - 9 - 14

Minor 6/9 R 3 5 6 9 0 - 3 - 7 - 9 - 14

Major Eleventh R 3 5 7 9 11 0 - 4 - 7 - 11 - 14 - 17

Minor Eleventh R 3 5 7 9 11 0 - 3 - 7 - 10 - 14 - 17

Dominant Eleventh R 3 5 7 9 11 0 - 4 - 7 - 10 - 14 - 17

Major Thirteenth R 3 5 7 9 11 13 0 - 4 - 7 - 11 - 14 - 17 - 21

Minor Thirteenth R 3 5 7 9 11 13 0 - 3 - 7 - 10 - 14 - 17 - 21

Dominant Thirteenth R 3 5 7 9 11 13 0 - 4 - 7 - 10 - 14 - 17 - 21

Chord Name Standard FormulaCipher Formula

R 3rd 5th 6 or 7 9th 11th 13th


12/18


Figure 1-10

C

D

min2

aug1

CP1st

D

E

F

G

A

B

C

M2

M3

P4

P5

M6

M7

P8

D

E

min

3

aug

2

F G

dim5

aug4

G

A

min6

aug5

A

B

min7

aug6

dim6

A

dim7

B

C

C

oneoctave

(twelvehalf-steps)

D

min9

D

E

F

G

A

B

C

M9

M1

0P11

P12

M13

M1

4P15

D

E

min1

0

aug9

F G

dim12

aug11

G

A

min13

aug12

A

B

min14

aug13

C

oneoctave

(twelvehalf-steps)

Compoundintervals

secondoctave

Summaryofintervalnumber-namestwooctav

es,simpleandcompound

(alldegre

es:Majorandchromatic)

Note;som

elesscommonenharmonicintervaln

amesare

omittedfromt

hischart,e.g.

dim2

nd,

dim3

rd,aug3rd.

min=minor

aug=augmented

dim=diminish

ed

M=

Major

P=perfect

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

chromaticnumbers024added


13/18


Master Chart Summary Table One The Cipher

The Cipher Systems user-friendliness results from extricating music theory from the staff

and standard notation. The Master Charts further that operation. The Master Charts are the

Cipher Systems comprehensive

number-formula translation tables. There the eight total Mas-

ter Charts in the book. The following two-plate chart is one of two summary

charts.

The Master Charts are a catalogue of number formula, both standard and Cipher. They

contain diatonic to chromatic number translations of all basic harmony-in-thirds

(chord for-

mula) taken directly from the staff, plus all indigenous modes (scales) of all degrees of the four

primary scales. Charts are included for the Major and three variations of Minor scales (Natu-ral, Harmonic, and Melodic), using both standard (diatonic) and chromatic (Cipher) num-

bers. The Master Charts reveal all of the stock harmonies and formula natural to all scale

degrees of those scales

From every scale degree of each of the four scales covered, youll find formula numbers

corresponding to (and up through) the seven-tone thirteenth chord that stacks naturally (in

thirds) above those degrees. Each thirteenth chord contains within it all other smaller chords

natural to the given degree. That is, each thirteenth chord (also) contains the triad, seventh,

ninth, and eleventh chord, natural to the degree. So the Master Charts are indeed exhaustive

as far as the stock, unaltered, natural materials of (tercian) Western music theory go.

The Master Charts are a literal Rosetta Stone

, an alpha-numeric translation of ancient

musical formula rendered in two languages side by side, one of which nearly everyone on

earth can understand, counting numbers. It might sound silly, but if some cataclysmic event

ever befalls the earth (and it will someday), leaving only a small global population and few if

any people who can read music, the kernel of Western musical heritage might survive at least.

But wed still have to write it in stone

somewhere, and have a copy off worldto be safe. ;)


14/18


Figure 1-11

The Cipher Summary Master Chart One diatonic numbers

Natural Chords and Arpeggios Indigenous Modes

Major

Melodic minor

Harmonic minor

Natural minor

Major

Melodic minor

Harmonic minor

Natural minor

R 3 5 7 9 11 13

I

II

III

IV

V

VI

VII

RT

R

R

R

R

R

R

3

3

3

3

3

3

2

5

5

5

4

7

7

7

7

7

7

7

6

9 11

11

13

13

13

13

5 9 11 13

5 9

9

11

3 5 7 9 13

3 5 9 11 13

11

5 9 11

R 3 5 7 9 11 13I

II

III

IV

V

VI

VII

T

3

3

3

3

3

3

2

5

5

5

4

7

7

7

7

7

7

7

6

9 11

11

13

13

13

13

5 9 11 1 3

5 9

9

11

3 5 7 9 13

3 5 9 11 13

11

5 9 11

R 3 5 7 9 11 13

I

II

III

IV

V

VI

VII

T

3

3

3

3

3

3

2

5

5

5

4

7

7

7

7

7

7

7

6

9 11

11

13

13

13

13

5 9 11 13

5 9

9

11

3 5 7 9 13

3 5 9 11 13

11

5 9 11

R 3 5 7 9 11 13

I

II

III

IV

V

VI

VII

T

3

3

3

3

3

3

2

5

5

5

4

7

7

7

7

7

7

7

6

9 11

11

13

13

13

13

5 9 11 13

5 9

9

11

3 5 7 9 13

3 5 9 11 13

11

5 9 11

T 2 3 4 5 6 7

I

II

III

IV

V

VI

VII

1T

1

1

1

1

1

1

3

3

3

3

3

3

2

5

5

5

4

7

7

7

7

7

7

7

6

2 4

4

6

6

6

6

52 4 6

52

2

4

3 5 72 6

3 52 4 6

4

52 4

I

II

III

IV

V

VI

VII

T

3

3

3

3

3

3

2

5

5

5

4

7

7

7

7

7

7

7

6

2 4

4

6

6

6

6

52 4 6

52

2

4

3 5 72 6

3 52 4 6

4

52 4

I

II

III

IV

V

VI

VII

T

3

3

3

3

3

3

2

5

5

5

4

7

7

7

7

7

7

7

6

2 4

4

6

6

6

6

52 4 6

52

2

4

3 5 72 6

3 52 4 6

4

52 4

I

II

III

IV

V

VI

VII

T

3

3

3

3

3

3

2

5

5

5

4

7

7

7

7

7

7

7

6

2 4

4

6

6

6

6

52 4 6

52

2

4

3 5 72 6

3 52 4 6

4

52 4

T 2 3 4 5 6 7

T 2 3 4 5 6 7

T 2 3 4 5 6 7

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

8

8

8

8

R

R

R

R

R

R

R

R

R

R

R

R

R

R

R

R

R

R

R

R

R


15/18


Figure 1-12

Natural Chords and Arpeggios Indigenous Modes

Major

Melodic minor

Harmonic minor

Natural minor

Major

Melodic minor

Harmonic minor

Natural minor

The Cipher Summary Master Chart One chromatic numbers

R 3 5 7 9 11 13

I

II

III

IV

V

VI

VII

0

0

0

0

0

0

0

3

3

3

3

4

6

7

10

10

10

10

10

11 14 17

18

20

20

20

21

7 14 17 21

7 13

13

17

4 7 11 14 21

4 7 14 17 21

17

7 14 17

0

2

4

5

7

9

11

R 3 5 7 9 11 13I

II

III

IV

V

VI

VII

0

0

0

0

0

0

0

4

4

3

3

4

7

8

10

10

11

10

10

11 14 18

17

20

21

21

21

7 14 18 21

7 14

13

17

3 6 10 14 20

3 6 13 16 20

17

7 14 170

2

3

5

7

9

11

R 3 5 7 9 11 13

I

II

III

IV

V

VI

VII

0

0

0

0

0

0

0

3

4

3

3

4

6

8

10

9

11

10

10

11 14 17

18

20

20

21

21

7 14 18 21

7 13

13

17

4 7 11 15 21

3 6 13 16 20

17

7 14 170

2

3

5

7

8

11

R 3 5 7 9 11 13

I

II

III

IV

V

VI

VII

0

0

0

0

0

0

0

3

3

3

3

4

6

7

10

10

10

10

10

11 14 17

18

20

20

20

21

7 14 17 21

7 13

13

17

4 7 11 14 21

4 7 14 17 21

17

7

14

17

0

2

3

5

7

8

10

I

II

III

IV

V

VI

VII

0

0

0

0

0

0

0

3

3

3

3

4

6

7

10

10

10

10

10

112 5

6

8

8

8

9

72 5 9

71

1

5

4 7 112 9

4 72 5 9

5

72 5

0

2

4

5

7

9

11

I

II

III

IV

V

VI

VII

0

0

0

0

0

0

0

4

4

3

3

4

7

8

10

10

11

10

10

112 6

5

8

9

9

9

72 6 9

72

1

5

3 6 102 8

3 61 4 8

5

72 50

2

3

5

7

9

11

I

II

III

IV

V

VI

VII

0

0

0

0

0

0

0

3

4

3

3

4

6

8

10

9

11

10

10

112 5

6

8

8

9

9

72 6 9

71

1

5

4 7 113 9

3 61 4 8

5

72 50

2

3

5

7

8

11

I

II

III

IV

V

VI

VII

0

0

0

0

0

0

0

3

3

3

3

4

6

7

10

10

10

10

10

112 5

6

8

8

8

9

72 5 9

71

1

5

4 7 112 9

4 72 5 9

5

7

2

5

0

2

3

5

7

8

10

T 2 3 4 5 6 7

T 2 3 4 5 6 7

T 2 3 4 5 6 7

T 2 3 4 5 6 7

8

8

8

8

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12


16/18


Universal Speller-Transposer The Cipher

The Ciphers Universal Speller-Transposer is meant to help you do two separate things,

spell and transpose:

Take any number formula (standard or Cipher) for any interval, scale, or chord, and you'll

be able to find the correct letter-spelling for it in any key (i.e. from any tonic or root).

or you can transpose (change) the letter spelling of any musical material from one key,

tonic, or root, to another.

The Speller-Transposer works even if you ignore the chromatic numbers, (the Cipher spe-

cific content) and use only standard diatonic formula numbers.

At first glance the Speller-Transposer might make your head spin a bit. Its not a pretty

sight as they say. But I didnt create that spelling system. Thats how it is. Hopefully though,

youll get a feel for it after a few minutes of explanation. Youll probably only need it on occa-

sion. [Note; the book contains explanatory text and illustrations.]


17/18


Figure 1-13

2

2

9

9

4

0

A

35 711

411

I IVII III V

A

B

B

C

C

D

D

B

C

1 2 3 4 5 6 7 8 9 10 11 12

A

A

A

B

B

B

B

BB

B

C DD

D

D

C

C

C

C CB

F

G

C

C

C

C

C

B

B

C

C

C

B

D

D

F

GFE E

E

E

E

D

E

F

FE

F

E

E

F

G

G

E

F

G

G

G

E F

GF

GF

G

G

G

FA

A

G

FD

F

F

F

E

E

E

FE

E

D

D

F

F

E

E

E

E

E

D

D

D

E

E F

G A B

AA

B

GA

GF

G

G

G

F

FE

A

A

A

G

B

AB

B

C

AA

G

G

G

F

A

F

G

D

D

D

D

DD

C

C

E

E

D

ED

D

D

B A

A

B

B

C

A A

B

C

B

CA

A

G

G

G

AC

Tonics/Rootsor Keys A

A

B

B

C

C

D

D

B

C

VI VII I

76

138

1st or 1st

scale degreesChromatic (Cipher)

2

3 5

59411

13

6 7

T/Rscale degreesDiatonic (or Major)

(standardnumbers)

Universal Speller/Transposer The Cipher

D

E

F

G

F

G

G

E

E

F

A

A

A

B

B

C

DC

D

G

B

B

A

A

C

C

BC

BC

C

D

E

E

FE

E

E

D

E

D

E

D F

E

F

G

F

E

F

F

E

F

G

G

G

F

G

G

F

F E

F

G

D

E

E

E

E

F

G

G

F

F

F

F G

E

D

EE

E

C

C

D

CD

B

CCD

A

A

G

BA

B

AA

GG

F

A

AA

G

BA

B

GA

GF

G

GG

G

F

F

E

A

B

BC

B

B

C

A

BB

C

A

AA

G

BA

BB

B

B

C

F

F

E

E

FG

D

D

B

D

D

C

C

CD

E FD D

C

CD

B

CC

D

CD

D

ED

D

C

ED

D

B

A

C

B

CA

B

A

B

C

A

A

F

F

E

F

G

G

G

A

G

A

A

C

D

D

D

A


18/18


Triads of Major Data

Figure 1-14

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C Maj /A min

Key signature

(no 's or 's)

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Triads of Major

I ii iii IV V iv vii I

C D E F G A B C

Maj min Majmin Maj min dim

I = C, E, G . . . Major . . . . R 3 5 0 4 7

ii = D, F, A . . . minor . . . . R 3 5 0 3 7

iii = E, G, B . . . minor . . . . R 3 5 0 3 7

IV = F, A, C . . . Major. . . . . R 3 5 0 4 7

V = G, B, D . . . Major . . . . R 3 5 0 4 7

vi = A, C, E . . . minor . . . . R 3 5 0 3 7

vii = B, D, F . . . diminished . R 3 5 0 3 6

I = C, E, G . . . Major . . . . R 3 5 0 4 7

Maj

0

2

4

5

7

9

11

12

C Major

0 2 4 5 7 9 11 12

Cipher Formula

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