User:Moremajorthanmajor/9L 4s (7/2-equivalent): Difference between revisions

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Created page with "'''Shōsūshī''' - so named because of the four small steps in its diatonic MOS - is an excellent 8*-limit temperament tempering out 64/63 or an excellent 9 (18)-limit temper..."
 
m FloraC moved page 9L 4s (minor fourteenth equivalent) to User:Moremajorthanmajor/9L 4s (minor fourteenth equivalent): Unsuitable for the main namespace as the author uses terms/notations that are totally undefined
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Revision as of 18:41, 13 July 2022

Shōsūshī - so named because of the four small steps in its diatonic MOS - is an excellent 8*-limit temperament tempering out 64/63 or an excellent 9 (18)-limit temperament tempering out 81/80.

Properties

In shōsūshī, the just major 21st (15/2) is divided into 7 equal steps. These steps form quartal harmonies (1-4/3-7/4-7/3…). Alternately, the ‘perfect eleventh’ 8/3 also makes a good shōsūshī generator. Compatible equal temperaments include 22edXIV; 31edXIV, 40edXIV and 49edXIV (7-ward) and 35edXIV, 48edXIV and 61edXIV (9-ward).

Notation

Because shōsūshī is a Mahjong hand, its MOS has 13 tones, as in the 13 tiles in a Mahjong hand and its “13 fan” Japanese value.