338edo

← 337edo

338edo

339edo →

Prime factorization	2 × 132
Step size	3.5503 ¢
Fifth	198\338 (702.959 ¢) (→ 99\169)
Semitones (A1:m2)	34:24 (120.7 ¢ : 85.21 ¢)
Consistency limit	7
Distinct consistency limit	7

The equal temperament tempers out [23 6 -14⟩ (vishnuzma) in the 5-limit, and 2401/2400, 5120/5103 and 10976/10935 in the 7-limit. It provides the optimal patent val for 7-limit hemififths, the 99 & 239 temperament.

Odd harmonics

Approximation of odd harmonics in 338edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+1.00	+0.67	+0.40	-1.54	-1.02	+0.89	+1.67	+1.55	+0.71	+1.41	+0.13
	Relative (%)	+28.3	+18.8	+11.4	-43.5	-28.8	+25.1	+47.1	+43.8	+20.1	+39.7	+3.6
Steps (reduced)		536 (198)	785 (109)	949 (273)	1071 (57)	1169 (155)	1251 (237)	1321 (307)	1382 (30)	1436 (84)	1485 (133)	1529 (177)

Subsets and supersets

Since 338 factors into 2 × 13², 338edo has subset edos 2, 13, 26, and 169.