238edo

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238edo

239edo →

Prime factorization	2 × 7 × 17
Step size	5.04202 ¢
Fifth	139\238 (700.84 ¢)
Semitones (A1:m2)	21:19 (105.9 ¢ : 95.8 ¢)
Consistency limit	3
Distinct consistency limit	3

It is part of the optimal ET sequence for the apotropaia, enodia, fantastic, gizzard, gracecordial, hecate, marvell, unimarv (undecimal marvel), vines and wizard temperaments.

Theory

Prime harmonics

Approximation of prime harmonics in 238edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.00	-1.11	+1.92	-0.76	-1.74	+1.49	+0.93	-0.03	+1.98	-1.01	-0.50
	Relative (%)	+0.0	-22.1	+38.1	-15.0	-34.5	+29.5	+18.4	-0.7	+39.2	-19.9	-9.9
Steps (reduced)		238 (0)	377 (139)	553 (77)	668 (192)	823 (109)	881 (167)	973 (21)	1011 (59)	1077 (125)	1156 (204)	1179 (227)

Intervals

See Table of 238edo intervals.

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