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28 meantone scales

🔗Gene Ward Smith <gwsmith@svpal.org>

1/15/2004 11:48:22 PM

My final talley for the Fokker classification project was 53 scales,
clearly a propitious number. Tempering that by marvel reduced the
count not at all, but tempering my meantone brought it down to 28
scales, as follows:

[-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6]
[-5, -4, -1, 0, 1, 2, 3, 4, 5, 6, 9, 10]
[-5, -2, 0, 1, 2, 3, 4, 5, 6, 8, 9, 11]
[-5, -3, -2, 0, 1, 2, 3, 4, 5, 6, 8, 11]
[-5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 12]
[-5, -2, -1, 1, 2, 3, 4, 5, 6, 8, 9, 12]
[-5, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12]
[-5, -4, 1, 2, 3, 4, 5, 6, 9, 10, 11, 12]
[-5, -4, -3, -2, 1, 2, 3, 4, 5, 6, 11, 12]
[-5, -4, -3, 1, 2, 3, 4, 5, 6, 10, 11, 12]
[-5, -1, 0, 1, 3, 4, 5, 6, 8, 9, 10, 14]
[-5, -2, 0, 1, 3, 4, 5, 6, 8, 9, 11, 14]
[-5, -4, -3, -2, 3, 4, 5, 6, 11, 12, 13, 14]
[-5, -4, 1, 2, 3, 4, 9, 10, 11, 12, 17, 18]
[-5, -1, 0, 3, 4, 5, 8, 9, 10, 13, 14, 18]
[-5, -1, 0, 1, 4, 5, 6, 9, 10, 14, 15, 20]
[-5, 0, 1, 5, 6, 9, 10, 11, 14, 15, 16, 20]
[-5, 0, 1, 4, 5, 6, 9, 10, 11, 14, 15, 20]
[-5, 0, 1, 5, 6, 10, 11, 14, 15, 16, 20, 21]
[-5, -4, 0, 1, 2, 5, 6, 10, 11, 15, 16, 21]
[-5, -4, 3, 4, 5, 6, 11, 12, 13, 14, 21, 22]
[-5, -4, -3, 3, 4, 5, 6, 11, 12, 13, 14, 22]
[-5, 3, 4, 5, 6, 11, 12, 13, 14, 20, 21, 22]
[-5, -1, 3, 4, 8, 9, 12, 13, 14, 17, 18, 22]
[-5, -1, 0, 3, 4, 5, 8, 9, 13, 14, 18, 22]
[-5, -1, 0, 3, 4, 8, 9, 13, 14, 17, 18, 22]
[-5, 1, 2, 3, 8, 9, 10, 11, 16, 17, 18, 24]
[-5, 0, 1, 5, 6, 10, 11, 15, 16, 20, 21, 26]