496edo

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← 495edo 496edo 497edo →
Prime factorization 24 × 31
Step size 2.41935 ¢ 
Fifth 290\496 (701.613 ¢) (→ 145\248)
Semitones (A1:m2) 46:38 (111.3 ¢ : 91.94 ¢)
Consistency limit 5
Distinct consistency limit 5

496 EDO divides the octave into steps of 2.42 cents each.

Theory

Script error: No such module "primes_in_edo". 496edo is good with the 2.3.11.19 subgroup, for low-complexity just intonation. Higher limits that it appreciates are 31, 37, and 47.

In the 2.3.11.19 subgroup, 496edo tempers out 131072/131043.

496 is the 3rd perfect number, and its divisors are 1, 2, 4, 8, 16, 31, 62, 124, 248, the most notable being 31.

496edo is contorted order 2 up to the 11-limit, meaning it shares the mapping with 248edo. As such, in the 11-limit it is a compound of two chains of 11-limit bischismic temperaments. In the 13-limit patent val, first step where 496edo is not contorted, it tempers out 4225/4224.