Zastari
Joined 10 September 2023
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== JI scales on the Harmonic Series == | == JI scales on the Harmonic Series == | ||
=== SV3 scales === | |||
* 2.3.5 | |||
** Zarlino[7]: 9/8 5/4 45/32 3/2 27/16 15/8 2/1 | |||
** ???[7]: 10/9 6/5 4/3 3/2 5/3 9/5 2/1 | |||
* 2.3.7 | |||
** Omnidiatonic[7]: 9/8 7/6 4/3 3/2 14/9 7/4 2/1 | |||
** ???[7]: 8/7 7/6 4/3 3/2 12/7 7/4 2/1 | |||
** Diasem[9]: 9/8 81/64 21/16 189/128 3/2 27/16 7/4 63/32 2/1 | |||
* 2.3.19 | |||
** 9/8 19/16 171/128 3/2 27/16 57/32 2/1 | |||
=== /2^n Scales of Interest === | === /2^n Scales of Interest === | ||
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AGS(7/6, 8/7) | AGS(7/6, 8/7) | ||
* [5]: 9/8 21/16 3/2 7/4 2/1 | * [5]: 9/8 21/16 3/2 7/4 2/1 | ||
* [9]: 9/8 81/64 | * [9]: 9/8 81/64 21/16 189/128 3/2 27/16 7/4 63/32 2/1 | ||
===== Detempered Marveldene (2.3.5.7) ===== | ===== Detempered Marveldene (2.3.5.7) ===== | ||
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===== Zil (2.3.5.7) ===== | ===== Zil (2.3.5.7) ===== | ||
''Note'': Zil is sometimes defined as a chiral version that contains 405/256 and 2835/2048 in place of 25/16 and 175/128 which yields the AGS (8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 8/7, 189/160, 8/7, 7/6). The version discussed below uses 25/16 and 175/128 yielding the truncated AGS (8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 189/160). | ''Note'': Zil is sometimes defined as a chiral version that contains 405/256 and 2835/2048 in place of 25/16 and 175/128 which yields the AGS (8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 8/7, 189/160, 8/7, 7/6). The version discussed below uses 25/16 and 175/128 yielding the truncated AGS (8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 8/7,189/160). | ||
* zil[24]: 525/512 135/128 35/32 9/8 4725/4096 75/64 315/256 5/4 21/16 675/512 175/128 45/32 189/128 3/2 1575/1024 25/16 105/64 27/16 7/4 225/128 945/512 15/8 63/32 2/1 | |||
Zil is a 4x3x2 rectangular prism in 2.3.5.7 space. It can be traversed along the prime axes in any order yielding 6 possible AGS recipes that generate it. | Zil is a 4x3x2 rectangular prism in 2.3.5.7 space. It can be traversed along the prime axes in any order yielding 6 possible AGS recipes that generate it. | ||
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* Unknown mode (2.3.7.25): 525/512 75/64 21/16 175/128 25/16 7/4 2/1 | * Unknown mode (2.3.7.25): 525/512 75/64 21/16 175/128 25/16 7/4 2/1 | ||
* Unknown mode (2.3.5.7): 35/32 5/4 21/16 3/2 105/64 7/4 2/1 | * Unknown mode (2.3.5.7): 35/32 5/4 21/16 3/2 105/64 7/4 2/1 | ||
===== Unnamed Ambitonal Scale (2.3.5.7) ===== | |||
* 36/35 21/20 10/9 8/7 7/6 6/5 80/63 21/16 4/3 48/35 35/24 3/2 32/21 63/40 5/3 12/7 7/4 9/5 40/21 35/18 2/1 | |||
=== Chromatic Families === | === Chromatic Families === | ||