157edo: Difference between revisions

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'''157edo''' is the [[EDO|equal division of the octave]] into 157 parts of 9.6774 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. 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 [[EDO|equal division of the octave]] into 157 parts of 9.6774 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]].