I’ve settled on the 7th iteration of this piece. The tuning is derived from the undertone series, with a few additional ratios.
Scale: Undertone series based on 18/x plus a few more
Ratios: Four sets of double triad chords -
Triads taken two at a time making a six note scale
[G-min 3:2 9:5 9:8
[& A-min 12:7 1:1 9:7
[A-min 12:7 1:1 9:7
[& Bb-maj 9:5 9:8 27:20
[Bb-maj 9:5 9:8 27:20
[& C-min 1:1 6:5 3:2
[C-min 1:1 6:5 3:2
[& D-min 9:8 27:20 12:7
Here are the six note scales
G-min & A-min 3:2 12:7 9:5 1:1 9:8 9:7 3:2
A-min & Bb-maj 12:7 9:5 1:1 9:8 9:7 27:20 12:7
Bb-maj & C-min 9:5 1:1 9:8 6:5 27:20 3:2 9:5
C-min & D-min 1:1 9:8 6:5 27:20 3:2 12:7 1:1
Sequential ratios starting on C as 1:1
C D Eb E F G A Bb C
1:1 9:8 6:5 9:7 27:20 3:2 12:7 9:5 2:1
Rhythm: 12 + 8 + 12 = 32 beats per measure
Orchestra:
Spoken word, Flute, vibes, cello, finger piano, dry spring, wet spring, trumpet, trombone
Text:
The world has seen
the swiftest advance of
democratic institutions
in history.
Spoken: October 6, 2005 at the National Endowment for Democracy
