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A 12 note meantone modmos

🔗Gene Ward Smith <gwsmith@svpal.org>

7/12/2004 2:13:12 AM

I was trying to figure out, by fiddling with an example, what methods
might be suitable for constructing modmos. It doesn't seem to me that
limiting the number of islands, which would be the simplest case after
MOS, is necessarily the most interesting. Below I give a
paper-and-pencil constructed modmos, which has three major tetrads and
one minor tetrad, rather than the two and two of Meantone[12]. It is
in 50-et, a tuning range with excellent 11 and 13 harmonies, and some
of that comes with this scale. While one may still prefer
Meantone[12], clearly a scale like this has its merits. It also has
five separate islands; the chain of fifths being
0,1,2;4,5,6;8,9,10,11;15;19.

Here's a Scala scl for it:

! modmos12a.scl
A 12-note modmos in 50-et meantone
12
!
24.000000
192.000000
264.000000
384.000000
456.000000
576.000000
696.000000
768.000000
840.000000
960.000000
1080.000000
1200.000000