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Scales for Starling (the 126/125 planar temperament)

🔗Gene W Smith <genewardsmith@juno.com>

6/2/2002 4:18:20 AM

Both star and nova are epimorphic for h8+v7, but I didn't find anything
to match them among other scales of that sort I checked. However, I did
find two interesting twelve note scales.

I've given these in the 108-et; this is because while there are
advantages to 46, etc, the true intonational exactness isn't reached
there, and I at least find that the difference is noticable. I haven't
heard about 108, which is sort of the crazy uncle of the 12-multiple
family kept locked in the attic. It shares its {2,3,7} subgroup with 72,
both of them having the
36-etvalues, but its different third makes it cover 126/125 instead of
225/224 (as well, of course, as 1029/1024, a comma of {2,3,7} it shares
with 72.) Dave and George can ponder it, and see if they think it is
garbage. :)

[0, 7, 21, 28, 35, 45, 56, 63, 73, 80, 91, 101]

5: 23, 12
7: 36, 36
9: 42, 58

[0, 11, 17, 28, 35, 45, 52, 63, 73, 80, 91, 97]

5: 21, 10
7: 31, 28
9: 44, 65

star108 := [0, 7, 28, 35, 56, 63, 80, 91]

5: 13, 6
7: 21, 20
9: 23, 28

nova108 := [0, 11, 28, 35, 56, 63, 80, 91]

5: 13, 6
7: 20, 18
9: 24, 32