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

Theory

496edo is strongly related to the 248edo, but the patent vals differ on the mapping for 13. As such, in the 11-limit it supports 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.

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.

Odd harmonics

Approximation of odd harmonics in 496edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-0.34	+0.78	-1.08	-0.68	+0.29	-1.01	+0.44	-0.92	+0.07	+0.99	+0.76
	Relative (%)	-14.1	+32.4	-44.8	-28.3	+12.2	-41.8	+18.2	-38.2	+2.8	+41.1	+31.3
Steps (reduced)		786 (290)	1152 (160)	1392 (400)	1572 (84)	1716 (228)	1835 (347)	1938 (450)	2027 (43)	2107 (123)	2179 (195)	2244 (260)