1342edo

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← 1341edo

1342edo

1343edo →

Prime factorization	2 × 11 × 61
Step size	0.894188 ¢
Fifth	785\1342 (701.937 ¢)
Semitones (A1:m2)	127:101 (113.6 ¢ : 90.31 ¢)
Consistency limit	9
Distinct consistency limit	9

1342edo is consistent to the 9-odd-limit, but there is a large relative delta for the 7th and the 11th harmonics. Its notability lies in the utility as every other step of the full 13-limit monster – 2684edo, so it probably makes more sense as a 2.3.5.13 subgroup temperament. In the 5-limit it tempers out kwazy, [-53 10 16⟩, senior [-17 62 -35⟩, and egads, [-36 52 51⟩; in the 2.3.5.13 subgroup it tempers out 140625/140608.

Prime harmonics

Approximation of prime harmonics in 1342edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.018	-0.025	-0.421	+0.396	+0.009	-0.335	+0.252	+0.340	-0.367	+0.419
	Relative (%)	+0.0	-2.0	-2.8	-47.0	+44.3	+1.0	-37.5	+28.1	+38.0	-41.0	+46.9
Steps (reduced)		1342 (0)	2127 (785)	3116 (432)	3767 (1083)	4643 (617)	4966 (940)	5485 (117)	5701 (333)	6071 (703)	6519 (1151)	6649 (1281)

Divisors

Since 1342 factors as 2 × 11 × 61, 1342edo has subset edos 2, 11, 22, 61, 122, and 671.