496edo

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← 495edo496edo497edo →
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

Approximation of prime intervals in 496 EDO
Prime number 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error absolute (¢) +0.00 -0.34 +0.78 -1.08 +0.29 -1.01 -0.92 +0.07 +0.76 +1.07 -0.68 +0.27 -0.84 -1.03 -0.18
relative (%) +0 -14 +32 -45 +12 -42 -38 +3 +31 +44 -28 +11 -35 -43 -8
Steps (reduced) 496 (0) 786 (290) 1152 (160) 1392 (400) 1716 (228) 1835 (347) 2027 (43) 2107 (123) 2244 (260) 2410 (426) 2457 (473) 2584 (104) 2657 (177) 2691 (211) 2755 (275)

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.