Gallery of CS Scales

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This is a gallery of scales that have a constant structure.

Octave (2/1) span

18 tone

The 31 flippery constant structures with step sizes 16/15, 25/24, 36/35, 49/48, modulo transposition and inversion! (to be checked):

  • [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]
  • [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 48/25, 2]
  • [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 48/25, 2]
  • [1, 16/15, 10/9, 8/7, 7/6, 175/144, 35/27, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 25/24, 10/9, 8/7, 7/6, 175/144, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]
  • [1, 36/35, 15/14, 35/32, 9/8, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 45/28, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 25/24, 15/14, 8/7, 7/6, 175/144, 5/4, 4/3, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]
  • [1, 25/24, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 25/14, 40/21, 35/18, 2]
  • [1, 25/24, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 25/18, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 25/14, 40/21, 35/18, 2]
  • [1, 49/48, 21/20, 28/25, 7/6, 6/5, 5/4, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 49/30, 42/25, 7/4, 28/15, 48/25, 2]
  • [1, 25/24, 10/9, 8/7, 7/6, 6/5, 5/4, 4/3, 49/36, 7/5, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 49/48, 21/20, 35/32, 7/6, 6/5, 5/4, 4/3, 49/36, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 16/15, 10/9, 8/7, 7/6, 6/5, 5/4, 4/3, 25/18, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 36/35, 21/20, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 49/48, 21/20, 35/32, 7/6, 6/5, 5/4, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]
  • [1, 49/48, 21/20, 35/32, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]
  • [1, 49/48, 21/20, 28/25, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 36/35, 21/20, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 16/15, 10/9, 8/7, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]
  • [1, 16/15, 49/45, 28/25, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 14/9, 8/5, 49/30, 42/25, 7/4, 28/15, 48/25, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 25/24, 15/14, 125/112, 25/21, 60/49, 5/4, 125/96, 75/56, 10/7, 72/49, 75/49, 25/16, 5/3, 12/7, 25/14, 90/49, 15/8, 2]

19 tone

  • [1, 15/14, 10/9, 9/8, 7/6, 5/4, 80/63, 21/16, 4/3, 10/7, 40/27, 3/2, 45/28, 5/3, 27/16, 7/4, 15/8, 40/21, 63/32, 2]
  • [1, 81/80, 21/20, 9/8, 8/7, 189/160, 6/5, 21/16, 4/3, 27/20, 7/5, 3/2, 32/21, 63/40, 8/5, 12/7, 16/9, 9/5, 28/15, 2]
  • [1, 25/24, 35/32, 10/9, 7/6, 6/5, 5/4, 21/16, 4/3, 7/5, 35/24, 3/2, 14/9, 8/5, 5/3, 7/4, 9/5, 15/8, 35/18, 2]

20 tone

  • [1, 21/20, 175/162, 10/9, 7/6, 6/5, 100/81, 35/27, 4/3, 7/5, 350/243, 40/27, 3/2, 8/5, 400/243, 5/3, 7/4, 9/5, 50/27, 35/18, 2]

22 tone

  • [1, 64/63, 35/33, 35/32, 7/6, 32/27, 105/88, 175/144, 5/4, 4/3, 256/189, 140/99, 35/24, 3/2, 32/21, 35/22, 105/64, 7/4, 16/9, 315/176, 175/96, 35/18, 2]


Tritave (3/1) span

19 tone

  • [1, 27/25, 55/49, 25/21, 9/7, 33/25, 7/5, 75/49, 11/7, 5/3, 9/5, 231/125, 49/25, 15/7, 11/5, 7/3, 63/25, 55/21, 25/9, 3]