174edo: Difference between revisions
m Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot |
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'''174edo''' is the [[EDO|equal division of the octave]] into 174 parts of 6.8966 cents each. It is closely related to [[87edo]], but the patent vals differ on the mapping for 17 and some higher primes. It is contorted in the 13-limit, tempering out 196/195, 245/243, 352/351, 364/363, and 625/624. Using the patent val, it tempers out 289/288 in the 17-limit; 361/360, 476/475, and 665/663 in the 19-limit; 391/390, 392/391, 460/459, 529/528, and 760/759 in the 23-limit; 1309/1305, 1450/1449, and 4147/4140 in the 29-limit; 496/495 and 1365/1364 in the 31-limit. | '''174edo''' is the [[EDO|equal division of the octave]] into 174 parts of 6.8966 cents each. It is closely related to [[87edo]], but the patent vals differ on the mapping for 17 and some higher primes. It is [[contorted]] (or [[enfactored]]) in the 13-limit, tempering out 196/195, 245/243, 352/351, 364/363, and 625/624. Using the patent val, it tempers out 289/288 in the 17-limit; 361/360, 476/475, and 665/663 in the 19-limit; 391/390, 392/391, 460/459, 529/528, and 760/759 in the 23-limit; 1309/1305, 1450/1449, and 4147/4140 in the 29-limit; 496/495 and 1365/1364 in the 31-limit. | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||