User:Zastari: Difference between revisions

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== 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 ===

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===== 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.

@@ Line 1: / Line 1: @@
 == 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 ===
@@ Line 47: / Line 59: @@
 ===== 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.