532edo

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532edo

533edo →

Prime factorization	22 × 7 × 19
Step size	2.25564 ¢
Fifth	311\532 (701.504 ¢)
Semitones (A1:m2)	49:41 (110.5 ¢ : 92.48 ¢)
Consistency limit	5
Distinct consistency limit	5

Theory

Approximation of prime harmonics in 532edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.451	-0.599	+1.099	-0.942	+0.826	+1.060	+0.231	+1.049	-1.006	+0.829
	Relative (%)	+0.0	-20.0	-26.6	+48.7	-41.8	+36.6	+47.0	+10.3	+46.5	-44.6	+36.8
Steps (reduced)		532 (0)	843 (311)	1235 (171)	1494 (430)	1840 (244)	1969 (373)	2175 (47)	2260 (132)	2407 (279)	2584 (456)	2636 (508)

Since 532 = 19 x 28, 532edo tempers out both the enneadeca, which sets 6/5 to be 5\19 of the octave, and the oquatonic comma, which sets 5/4 to be 9\28 of the octave. Therefore, it can be conceptualized as superset of 19edo and 28edo.

In addition to the enneadecal and oquatonic, it also supports untriton in the 5-limit.

Its 7th harmonic is halfway between two notes. In the patent val, 532edo tempers out 65625/65536 and the dimcomp comma. In the 532d val it tempers out 4375/4374 and the meter.

In the 11-limit, 532d val supports the hemienneadecal temperament.