A TUNING FOR SATIE'S VEXATIONS

Here is a link to Kraig Grady's Scale

Here is a link to Warren Burt's scale

 

An excerpt from the Microfest Performance


 

Here is the Program listing all the composers

Alternative tuning for Erik Satie’s Vexations                        Terumi Narushima

Scale Degree

Letter Name

Interval Size

0

C

0.000 unison

1

B#

188.253 cents

2

Db

206.133 cents

3

C#

224.012 cents

4

Ebb

241.892 cents

5

D

259.771 cents

6

Eb

295.530 cents

7

D#

483.783 cents

8

E

519.542 cents

9

F

555.301 cents

10

Gb

591.060 cents

11

F#

779.313 cents

12

G

815.072 cents

13

Ab

850.831 cents

14

G#

868.711 cents

15

Bbb

886.590 cents

16

A

1074.843 cents

17

Bb

1110.602 cents

18

A#

1128.482 cents

19

Cb

1146.361 cents

20

B

1164.241 cents

21

C

1200.000 octave

In an article titled “Understanding Satie’s Vexations”, Satie scholar Robert Orledge suggests that the structure of Vexations is based on numbers from the Lucas series (1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843…). To accommodate the 21 different spellings of notes in Satie’s score, I decided to use a 21-tone subset of a 29-tone scale (29 being the closest Lucas number larger than 21). The fact that nearly all of the chords in Vexations are diminished triads gave me the idea of arranging the notes of the scale as three chains of minor thirds as shown below. The chains are linked by notes of the augmented triad (F-A-C#) found in the 2nd and 19th chords of the score.

 

 

aug

 

 

 

 

G#

B

D

F

Ab

Cb

Ebb

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

B#

D#

F#

A

C

Eb

Gb

Bbb

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

A#

C#

E

G

Bb

Db

 

 

 

 

 

 

 

 

 

 

 

Three chains of minor thirds with brackets showing diminished triads found in Satie’s Vexations. Chains are linked by augmented triad F-A-C#.

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