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10 note Miracle MOS

🔗Gene Ward Smith <gwsmith@svpal.org>

3/19/2003 4:09:04 PM

Whether you call something a temperament or a MOS is in good measure
a matter of point of view, so you can consider the following a
description of the 10-note miracle MOS, or of ten tones tempered via
miracle. Here's a nice shorthand:

(9)15/14(1)12/11
(8)8/7(2)7/6
(7)11/9(3)5/4
(6)21/16(4)4/3
(5)7/5(5)10/7

If you feel then need to keep going, add:

(4)3/2(6)32/11
(3)8/5(7)18/11
(2)12/7(8)7/4
(1)11/6(9)15/8

This tells us for instance that going around the circle of secors we
get 7 11/9's and complimentary to those, 3 5/4's.

Sitting here listening to the Shostakovitch #7, Leningrad. Not sure
it's making me feel more comfortable about things.