[tuning-math] Glumma
- From: Gene W Smith <genewardsmith@xxxxxxxx>
- To: tuning-math@xxxxxxxxxxxxxxx
- Date: Fri, 12 Jul 2002 11:17:59 -0700
Inspired by Carl's 12 note, 7-limit JI scale "lumma", I hereby present
"glumma", a modified version which now matches stelhex for number of
complete tetrads (6.)
glumma [1, 36/35, 8/7, 6/5, 5/4, 48/35, 10/7, 3/2, 5/3, 12/7, 7/4,
96/49]
chords [[-2, -1, 0], [-2, 0, 0], [-1, -1, 0], [-1, 0, 0], [0, -1, 0], [0,
0, 0]]
Compare to
lumma [1, 36/35, 8/7, 6/5, 5/4, 48/35, 10/7, 3/2, 5/3, 12/7, 9/5, 40/21]
[[-2, 0, 0], [-1, -1, 0], [-1, 0, 0], [0, -1, 0]]
stelhex [1, 21/20, 7/6, 6/5, 5/4, 21/16, 7/5, 3/2, 8/5, 42/25, 7/4, 9/5]
[[-1, 0, -1], [-1, 1, -1], [-1, 1, 0], [0, 0, -1], [0, 0, 0], [0 1, 0]]
class [1, 21/20, 35/32, 6/5, 5/4, 21/16, 7/5, 3/2, 25/16, 42/25, 7/4,
15/8]
[[-1, 1, -1], [0, 0, 0], [0, 1, 0], [1, 0, 1]]
prism [1, 16/15, 28/25, 7/6, 5/4, 4/3, 7/5, 112/75, 8/5, 5/3, 7/4, 28/15]
[[-1, -1, -2], [-1, 0, -2], [0, -1, -1], [0, 0, -1]]
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