456edo

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← 455edo

456edo

457edo →

Prime factorization	23 × 3 × 19
Step size	2.63158 ¢
Fifth	267\456 (702.632 ¢) (→ 89\152)
Semitones (A1:m2)	45:33 (118.4 ¢ : 86.84 ¢)
Consistency limit	7
Distinct consistency limit	7

456edo is the 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.