157edo: Difference between revisions
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'''157edo''' is the [[EDO|equal division of the octave]] into 157 parts of | '''157edo''' is the [[EDO|equal division of the octave]] into 157 parts of 7.6433 cents each. It tempers out 78732/78125 (sensipent comma) and 137438953472/134521003125 in the 5-limit; 2401/2400, 5120/5103, and 110592/109375 in the 7-limit (supporting the [[Breedsmic temperaments|hemififths]] and the [[Breedsmic temperaments|catafourth]]). Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750 and 8019/8000 in the 11-limit; 351/350, 352/351, 847/845, 1573/1568, and 2197/2187 in the 13-limit. | ||
157edo is the 37th [[prime EDO]]. | 157edo is the 37th [[prime EDO]]. | ||
Revision as of 00:02, 1 March 2019
157edo is the equal division of the octave into 157 parts of 7.6433 cents each. It tempers out 78732/78125 (sensipent comma) and 137438953472/134521003125 in the 5-limit; 2401/2400, 5120/5103, and 110592/109375 in the 7-limit (supporting the hemififths and the catafourth). Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750 and 8019/8000 in the 11-limit; 351/350, 352/351, 847/845, 1573/1568, and 2197/2187 in the 13-limit.
157edo is the 37th prime EDO.