418edo

← 417edo

418edo

419edo →

Prime factorization	2 × 11 × 19
Step size	2.87081 ¢
Fifth	245\418 (703.349 ¢)
Semitones (A1:m2)	43:29 (123.4 ¢ : 83.25 ¢)
Dual sharp fifth	245\418 (703.349 ¢)
Dual flat fifth	244\418 (700.478 ¢) (→ 122\209)
Dual major 2nd	71\418 (203.828 ¢)
Consistency limit	5
Distinct consistency limit	5

418 equal divisions of the octave (abbreviated 418edo or 418ed2), also called 418-tone equal temperament (418tet) or 418 equal temperament (418et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 418 equal parts of about 2.87 ¢ each. Each step represents a frequency ratio of 2^1/418, or the 418th root of 2.

Odd harmonics

Approximation of odd harmonics in 418edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+1.39	+1.25	-1.36	-0.08	-0.12	+0.62	-0.23	+1.26	+1.05	+0.03	+0.43
	Relative (%)	+48.6	+43.4	-47.4	-2.9	-4.2	+21.6	-8.0	+44.1	+36.6	+1.1	+15.1
Steps (reduced)		663 (245)	971 (135)	1173 (337)	1325 (71)	1446 (192)	1547 (293)	1633 (379)	1709 (37)	1776 (104)	1836 (164)	1891 (219)

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