1059edo

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1059edo

1060edo →

Prime factorization	3 × 353
Step size	1.13314 ¢
Fifth	619\1059 (701.416 ¢)
Semitones (A1:m2)	97:82 (109.9 ¢ : 92.92 ¢)
Dual sharp fifth	620\1059 (702.55 ¢)
Dual flat fifth	619\1059 (701.416 ¢)
Dual major 2nd	180\1059 (203.966 ¢) (→ 60\353)
Consistency limit	3
Distinct consistency limit	3

Theory

Approximation of odd harmonics in 1059edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-0.539	+0.089	+0.013	+0.056	+0.523	+0.266	-0.450	+0.427	+0.504	-0.526	-0.512
	Relative (%)	-47.5	+7.8	+1.1	+4.9	+46.2	+23.4	-39.7	+37.7	+44.5	-46.4	-45.2
Steps (reduced)		1678 (619)	2459 (341)	2973 (855)	3357 (180)	3664 (487)	3919 (742)	4137 (960)	4329 (93)	4499 (263)	4651 (415)	4790 (554)

103 steps of 1059edo represent a continued fraction approximation for the secor generator interval in the form of 46/43. In the 2.3.5.7.11.23.43 subgroup this results in a 329 & 1059 temperament. The comma basis for such (assuming both patent vals) is 1376/1375, 2646/2645, 172032/171875, 16401231/16384000, 51759729/51536320.

2118edo, which divides the edostep in two, provides a good correction for 3rd and 11th harmonics.