7315edo

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7315edo

7316edo →

Prime factorization	5 × 7 × 11 × 19
Step size	0.164046 ¢
Fifth	4279\7315 (701.955 ¢) (→ 389\665)
Semitones (A1:m2)	693:550 (113.7 ¢ : 90.23 ¢)
Consistency limit	27
Distinct consistency limit	27

7315edo is consistent up to the 27-odd-limit. 7315 = 11 × 665, and 7315edo shares its fifth with 665edo.

Prime harmonics

Approximation of prime harmonics in 7315edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000	-0.0001	+0.0157	+0.0326	+0.0423	+0.0465	+0.0343	+0.0673	+0.0237	-0.0215	+0.0089
	Relative (%)	+0.0	-0.1	+9.6	+19.9	+25.8	+28.3	+20.9	+41.0	+14.4	-13.1	+5.4
Steps (reduced)		7315 (0)	11594 (4279)	16985 (2355)	20536 (5906)	25306 (3361)	27069 (5124)	29900 (640)	31074 (1814)	33090 (3830)	35536 (6276)	36240 (6980)

Subsets and supersets

Since 7315 factors into 5 × 7 × 11 × 19, 7315edo contains subset edos 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, and 1463.

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