[tuning-math] Four generator step scales
- From: Gene W Smith <genewardsmith@xxxxxxxx>
- To: tuning-math@xxxxxxxxxxxxxxx
- Date: Sat, 13 Jul 2002 15:27:01 -0700
The JI versions of these all have 26 intervals and 20 triads. There are
also minor versions of these.
[0 0 1]
[1, 15/14, 7/6, 5/4, 75/56, 7/5, 3/2, 45/28, 49/30, 7/4, 28/15, 15/8]
72-et [0, 7, 16, 23, 30, 35, 42, 49, 51, 58, 65]
30 intervals, 25 triads
[0 1 0]
[1, 21/20, 25/21, 5/4, 21/16, 10/7, 3/2, 63/40, 5/3, 7/4, 147/80, 40/21]
68-et [0, 5, 17, 22, 27, 35, 40, 45, 50, 55, 60, 63]
28 intervals, 21 triads
[1 0 0]
[1, 36/35, 35/32, 6/5, 5/4, 245/192, 48/35, 35/24, 3/2, 12/7, 7/4,
175/96]
84-et [0, 3, 11, 22, 27, 30, 38, 46, 49, 65, 68, 73]
34 intervals, 27 triads
Despite having one less note, the 72-et scale has more 7-limit intervals
and triads than the 68-et scale.
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