JI approximation to 22ET

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I'll put a nickel in the pocket too. A rational interpretation of 22-tET
using only primes 3, 5 and 11:

1: 33/32 -1.272511 undecimal comma
2: 16/15 2.640377 minor diatonic semitone
3: 11/10 1.367865 4/5-tone
4: 25/22 3.127668
5: 75/64 1.855156 classic augmented second
6: 40/33 5.768046
7: 5/4 4.495533 major third
8: 32/25 -8.991067 classic diminished fourth
9: 4/3 7.135911 perfect fourth
10: 11/8 5.863399 harmonic augmented fourth
11: 45/32 -9.776288 tritone
12: 16/11 -5.863399 harmonic diminished fifth
13: 3/2 -7.135911 perfect fifth
14: 25/16 8.991067 classic augmented fifth
15: 8/5 -4.495533 minor sixth
16: 33/20 -5.768046
17: 128/75 -1.855156 diminished seventh
18: 44/25 -3.127668
19: 20/11 -1.367865
20: 15/8 -2.640377 classic major seventh
21: 64/33 1.272511
22: 2/1 0.000000 octave

Lattice:
hor > 3/1 - ver ^ 5/1 - hor >> 11/1

* | * * | |
* * | * * * | |
* * | * 0 * | * * |
| * * | * * |
| * * | * |

There are 7 just major triads and 7 almost just minor triads.
Also 11 almost pure 8:10:11 chords.

Manuel Op de Coul coul@ezh.nl


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From: curley@ucla.edu (Doren Garcia)
Subject: Midi Plea
PostedDate: 14-01-98 19:53:56
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