5902edo

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5902edo

5903edo →

Prime factorization	2 × 13 × 227
Step size	0.203321 ¢
Fifth	3452\5902 (701.864 ¢) (→ 1726\2951)
Semitones (A1:m2)	556:446 (113 ¢ : 90.68 ¢)
Dual sharp fifth	3453\5902 (702.067 ¢)
Dual flat fifth	3452\5902 (701.864 ¢) (→ 1726\2951)
Dual major 2nd	1003\5902 (203.931 ¢)
Consistency limit	7
Distinct consistency limit	7

5902 is notable for an extremely good approximation of the 2.5.7 subgroup. It also has a very accurate representation of the 17th harmonic (due to tempering S49/S50 = 2000033/2000000, equating 17/16 to three 50/49 intervals).

Odd harmonics

Approximation of odd harmonics in 5902edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-0.0912	-0.0040	-0.0018	+0.0209	+0.0884	+0.0010	-0.0952	-0.0418	-0.0545	-0.0930	-0.0127
	Relative (%)	-44.9	-2.0	-0.9	+10.3	+43.5	+0.5	-46.8	-20.6	-26.8	-45.7	-6.3
Steps (reduced)		9354 (3452)	13704 (1900)	16569 (4765)	18709 (1003)	20418 (2712)	21840 (4134)	23058 (5352)	24124 (516)	25071 (1463)	25923 (2315)	26698 (3090)

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