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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 (or 5/4) 21/16 189/128 3/2 27/16 7/4 63/32 2/1
* [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 ===
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** L=288/275, m=512/495, s=33/32, c=100/99. Pattern: smscsLscsLscsmsmscsLscsm  
** L=288/275, m=512/495, s=33/32, c=100/99. Pattern: smscsLscsLscsmsmscsLscsm  
* 2.3.5.13 extension: 65/64 16/15 13/12 10/9 325/288 6/5 39/32 5/4 325/256 27/20 351/256 45/32 2925/2048 3/2 195/128 8/5 13/8 5/3 325/192 9/5 117/64 15/8 975/512 2/1
* 2.3.5.13 extension: 65/64 16/15 13/12 10/9 325/288 6/5 39/32 5/4 325/256 27/20 351/256 45/32 2925/2048 3/2 195/128 8/5 13/8 5/3 325/192 9/5 117/64 15/8 975/512 2/1
** L=1728/1625 m=1024/975 s=40/39 c=65/64. cmcscLcscLcscmcmcscLcscm  
** L=1728/1625 m=1024/975 s=40/39 c=65/64. cmcscLcscLcscmcmcscLcscm
* 2.3.5.17 extension: 17/16 16/15 17/15 10/9 85/72 6/5 51/40 5/4 85/64 27/20 459/320 45/32 765/512 3/2 51/32 8/5 17/10 5/3 85/48 9/5 153/80 15/8 255/128 2/1 2.3.5
** L=17/16 m=50/51, s=432/425, c=256/255. LcLmLsLmLsLmLcLcLmLsLmLc