Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk
Transcript of Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk
![Page 1: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/1.jpg)
Rhythm Necklace & Hemiola:
Hidden Meter in Radiohead and BjörkStephen Taylor, University of Illinois at
Urbana-ChampaignBellairs, Barbados, February 6-8, 2010
Monday, February 8, 2010
![Page 2: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/2.jpg)
Rhythm ... is a closed, timelike loop.Richard Powers, The Time of Our Singing (2003)
The beat is not in the signal; it is in your mind.William Sethares, Rhythm and Transforms (2007)
Monday, February 8, 2010
![Page 3: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/3.jpg)
Example 1. (from Demaine et al., 2007) Six African and Latin American rhythms arranged in a 4/4 circular lattice; 0 equals the downbeat, and the other strong beats fall on 4, 8, and 12. Intuitively the most even rhythm is (e), Bossa-Nova, a 3-3-4-3-3 beat cycle. In these examples, n =16, and k = 5.
Monday, February 8, 2010
![Page 4: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/4.jpg)
Example 1. (from Demaine et al., 2007) Six African and Latin American rhythms arranged in a 4/4 circular lattice; 0 equals the downbeat, and the other strong beats fall on 4, 8, and 12. Intuitively the most even rhythm is (e), Bossa-Nova, a 3-3-4-3-3 beat cycle.
Monday, February 8, 2010
![Page 5: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/5.jpg)
Example 1. (from Demaine et al., 2007) Six African and Latin American rhythms arranged in a 4/4 circular lattice; 0 equals the downbeat, and the other strong beats fall on 4, 8, and 12. Intuitively the most even rhythm is (e), Bossa-Nova, a 3-3-4-3-3 beat cycle.
Monday, February 8, 2010
![Page 6: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/6.jpg)
Example 1. (from Demaine et al., 2007) Six African and Latin American rhythms arranged in a 4/4 circular lattice; 0 equals the downbeat, and the other strong beats fall on 4, 8, and 12. Intuitively the most even rhythm is (e), Bossa-Nova, a 3-3-4-3-3 beat cycle.
Monday, February 8, 2010
![Page 7: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/7.jpg)
Example 1. (from Demaine et al., 2007) Six African and Latin American rhythms arranged in a 4/4 circular lattice; 0 equals the downbeat, and the other strong beats fall on 4, 8, and 12. Intuitively the most even rhythm is (e), Bossa-Nova, a 3-3-4-3-3 beat cycle.
Monday, February 8, 2010
![Page 8: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/8.jpg)
8
Example 2. The “Erdös-deep” property of the diatonic mode
Monday, February 8, 2010
![Page 9: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/9.jpg)
i jumped in the river and what did I see?black-eyed angels swimming with me
a moon full of stars and astral carsall the figures i used to see
all my lovers were there with meall my past and futures
and we all went to heaven in a little row boat
there was nothing to fear and nothing to doubt
i jumped in the riverblack-eyed angels swimming with me
a moon full of stars and astral carsall the figures i used to see
all my lovers were there with meall my past and futures
and we all went to heaven in a little row boat
there was nothing to fear and nothing to doubtthere was nothing to fear and nothing to doubtthere was nothing to fear and nothing to doubtthere was nothing to fear and nothing to doubt
radiohead,pyramid song
(from Amnesiac, 2001)
Monday, February 8, 2010
![Page 10: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/10.jpg)
Example 3. Partial transcription of Radiohead’s “Pyramid Song.”
Monday, February 8, 2010
![Page 11: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/11.jpg)
11
Monday, February 8, 2010
![Page 12: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/12.jpg)
12
Monday, February 8, 2010
![Page 13: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/13.jpg)
0
8
412
6
2
13
9
5
114
3
710
11
15
n = 16k = 5
rhythm necklace rotation
Monday, February 8, 2010
![Page 14: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/14.jpg)
Example 4. Partial transcription of Radiohead’s “Pyramid Song.”
Monday, February 8, 2010
![Page 15: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/15.jpg)
Example 3. Partial transcription of Radiohead’s “Pyramid Song.”
Monday, February 8, 2010
![Page 16: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/16.jpg)
16
Ex. 5
Monday, February 8, 2010
![Page 17: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/17.jpg)
17
0
8
412
6
2
13
9
5
114
rhythm necklace
3
710
11
15
n = 16k = 5
p = 4
Monday, February 8, 2010
![Page 18: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/18.jpg)
18
0
6
39
48
210
7 5
1110
8
412
6
2
13
9
5
114
rhythm necklace vs. hemiola
3
710
11
15
n = 16k = 5
p = 4
n = 12k = 6
p = 4
Monday, February 8, 2010
![Page 19: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/19.jpg)
It’s tricky whenYou feel someone
Has done somethingOn your behalf
It's slippery whenYour sense of justiceMurmurs underneath
And is asking you:
How am I going to make it right?
With a palm full of starsI throw them like dice
RepeatedlyI shake them like dice
And throw them on the tableRepeatedlyRepeatedly
Until the desired constellation appears
And I ask myself:
How am I going to make it right?And you hear
How am I going to make it right?
Björk, Desired Constellation (from Medúlla, 2004)
Monday, February 8, 2010
![Page 20: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/20.jpg)
Example 6. Partial transcription of “Desired Constellation” by Björk and Olivier Alary.
Monday, February 8, 2010
![Page 21: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/21.jpg)
21
Monday, February 8, 2010
![Page 22: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/22.jpg)
g# - B (uncertain rhythm)E 6x (quarter notes)g# 4x (4:3, dotted 8ths)E 3x (with inner voice appoggiatura)g# 4xE 6x It’s tricky wheng# 4x you feel someoneE 3x (inner appoggiatura)(g#/E) 4x (bass) has done something E 6x on your behalfg# 4x It’sE 3x slippery(g#/E) 4x (bass) when your sense ofE 6x justice murmursg# 4x underneathE 3x and it’sd# 3x asking you (transition)CHORUSE 3x How am I going to make itd# 3x right?E 3xd# 3xE 3x How am I going to make itd# 4x right?INTERLUDE - metric modulation
Example 7.“Desired Constellation,”
first verse and chorus. The numbers show how many
bars a chord is repeated; the chorus’ pattern is more regular than the verse’s.
Monday, February 8, 2010
![Page 23: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/23.jpg)
Example 7. “Desired Constellation,” interlude and metric modulation.
Monday, February 8, 2010
![Page 24: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/24.jpg)
Monday, February 8, 2010
![Page 25: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/25.jpg)
Example 9. “Desired Constellation,” intro and part of first verse; rhythmic interpretation 2, after hearing the whole song.
Monday, February 8, 2010
![Page 26: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/26.jpg)
Monday, February 8, 2010
![Page 27: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/27.jpg)
27
0
8
412
6
2
13
9
5
114
hemiola, rhythm necklace and illusion
3
710
11
150
6
39
48
210
7 5
111
Monday, February 8, 2010
![Page 28: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/28.jpg)
28
0
6
39
48
210
7 5
111 0
8
412
6
2
13
9
5
114
hemiola, rhythm necklace and illusion
3
710
11
15
Monday, February 8, 2010
![Page 29: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/29.jpg)
29
rhythm necklace [2 2 2 1 2 2 2 2 1] in Radiohead and UI student composer Taylor Briggs
Monday, February 8, 2010
![Page 30: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/30.jpg)
30
Monday, February 8, 2010
![Page 31: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/31.jpg)
31
Bell pattern from Zoboko, a song by the Aka Pygmies from the CD “Ligeti and Africa”
2 2 2 2 2 1 2 2 2 2 2 2 1
Monday, February 8, 2010
![Page 32: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/32.jpg)
32
Rhythm ostinato for Flow (2006) for recorder quartet andchamber orchestra
Monday, February 8, 2010
![Page 33: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/33.jpg)
33
0
1
2
34
5
6
n = 28p = 7
Monday, February 8, 2010
![Page 34: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/34.jpg)
34
0
1
2
34
5
6
n = 28p = 7
Monday, February 8, 2010
![Page 35: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/35.jpg)
35
0
1
2
34
5
6
n = 28p = 7k = 5
Monday, February 8, 2010
![Page 36: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/36.jpg)
36
0
1
2
34
5
6
n = 28p = 7k = 5
Monday, February 8, 2010
![Page 37: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/37.jpg)
37
The Machine Awakes for soprano & chamber orchestra, 2007/09Words by Richard Powers, from Galatea 2.2
Monday, February 8, 2010
![Page 38: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/38.jpg)
38
World without Words for 13 saxes (2009)
!
"
Sno.
Sop.
Alto
Ten.
Bari.
Bass
New Tempo q = 144
88
p
p
p
p
p
p
!" #"
!" #"
!" #"
!" #"
!" #"
!" #"
!" #"
!" #"
!" #"
!" #"
!" #"
!" #"
!" #"
$non dim., stop suddenly
%
$stop suddenly on downbeat% % % %
$stop suddenly on downbeat% % % %
$non dim.,stop suddenly
slap tongue, hollow tone - little pitch&'(
&'
&'
&'&'
&'(&'&'&'
$non dim., stop suddenly %
$stop suddenly on downbeat% %
slap tongue, hollow tone - little pitch
&'(
&'
&'
&'
&'(
&'(
&'
&
'
&'&'
&'(&
'
&'&'
$non dim., stop suddenly
%
$#
non dim., stop suddenly
%
$#
stop suddenly on downbeat% %slap tongue, hollow tone - little pitch
&'(
&'
$#
stop suddenly on downbeat% %slap tongue, hollow tone - little pitch
'(& &'
&'
&'&' &
'(&'&' '& &
'(&'
'& &'
&'(&'&'&'
) stop suddenly on downbeat% %slap tongue, hollow tone - little pitch
'(& &'
'& &'&'
'& &'&' '& &
'('& '& '& &
'() % %
slap tongue, hollow tone - little pitch
&'(
'& '& '&'& '(& '& '& &
'&'(
'& '& &'&'
'(& &'&'
'&
) % % % %
* $ *+ $ , -. / 0 0
* $ *1 $ , -. / 0 0
-1 2 / -1 2 /-2
/- - /
-2 - - -2 /
*1 -3 - * , -. / 0 0
/ -+ 2 /-2 / -2
/ -2 0 0 -2 / -1 2 /-1 2 /
-12 / - -
/-2 - - -2 /
- -3 $ -1. - $ -3 $ , -. / 0 0* -+ - * , -
. / 0 0
4 4 0 0 -2 / 4 4 0 0 -+ 2 /
-+. / -2 / -2/ - - /
-2 - - -. / / -1 2 / -2 / -1. / -1 2 / -2 - - -2 /
-. / -2 /-+. / - - / -. - - -. / / -3 2 / -1. / -1. / -1. 0 0 -2 /
-2 /-+. / -. / -
- / -.- - -2 / -2 / -1. / -1. / - - / -. - - -. /
Full Score in C, World without Words30
Monday, February 8, 2010
![Page 39: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/39.jpg)
39
0
1
2
34
5
6n = 14k = 12
World without Words for 13 saxophones (2009)
7/4 time sig
Monday, February 8, 2010
![Page 40: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/40.jpg)
40
Monday, February 8, 2010
![Page 41: Rhythm Necklace & Hemiola: Hidden Meter in Radiohead and Björk](https://reader031.fdocuments.in/reader031/viewer/2022012100/6169de1e11a7b741a34c40e3/html5/thumbnails/41.jpg)
41
Monday, February 8, 2010