456edo: Difference between revisions
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'''456edo''' is the [[EDO|equal division of the octave]] into 456 parts of 2.63158 cents each. It is contorted in the 5-limit, tempering out 1600000/1594323 (amity comma) and 4294967296/4271484375 (escapade comma), as well as 6115295232/6103515625 (vishnuzma), 2199023255552/2179240250625 (undim comma), and 19073486328125/19042491875328 (enneadeca). In the 7-limit, it tempers out 10976/10935, 235298/234375, and 134217728/133984375, providing the [[optimal patent val]] for the [[chromat]] temperament. | '''456edo''' is the [[EDO|equal division of the octave]] into 456 parts of 2.63158 cents each. It is [[contorted]] (or [[enfactored]]) in the 5-limit, tempering out 1600000/1594323 (amity comma) and 4294967296/4271484375 (escapade comma), as well as 6115295232/6103515625 (vishnuzma), 2199023255552/2179240250625 (undim comma), and 19073486328125/19042491875328 (enneadeca). In the 7-limit, it tempers out 10976/10935, 235298/234375, and 134217728/133984375, providing the [[optimal patent val]] for the [[chromat]] temperament. | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
Revision as of 19:44, 29 September 2021
456edo is the equal division of the octave into 456 parts of 2.63158 cents each. It is contorted (or enfactored) in the 5-limit, tempering out 1600000/1594323 (amity comma) and 4294967296/4271484375 (escapade comma), as well as 6115295232/6103515625 (vishnuzma), 2199023255552/2179240250625 (undim comma), and 19073486328125/19042491875328 (enneadeca). In the 7-limit, it tempers out 10976/10935, 235298/234375, and 134217728/133984375, providing the optimal patent val for the chromat temperament.