15900edo

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15900edo

15901edo →

Prime factorization	22 × 3 × 52 × 53
Step size	0.0754717 ¢
Fifth	9301\15900 (701.962 ¢)
Semitones (A1:m2)	1507:1195 (113.7 ¢ : 90.19 ¢)
Consistency limit	23
Distinct consistency limit	23

The 15900 equal divisions of the octave, or the 15900-tone equal temperament (15900tet), 15900 equal temperament (15900et) when viewed from a regular temperament perspective, divides the octave into 15900 equal parts of about 0.075 cents each.

Theory

, and this temperament also tempers out the magnetisma.

Divisors

15900edo has subset EDOs 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 53, 60, 75, 100, 106, 150, 159, 212, 265, 300, 318, 530, 636, 795, 1060, 1325, 1590, 2650, 3180, 3975, 5300, 7950.

A single step of 15900edo is the relative cent of 159edo.

Prime harmonics

Approximation of prime harmonics in 15900edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000	+0.0073	+0.0259	+0.0043	+0.0028	+0.0006	+0.0257	-0.0036	+0.0275	+0.0077	+0.0210
	Relative (%)	+0.0	+9.6	+34.3	+5.7	+3.7	+0.8	+34.1	-4.7	+36.5	+10.2	+27.9
Steps (reduced)		15900 (0)	25201 (9301)	36919 (5119)	44637 (12837)	55005 (7305)	58837 (11137)	64991 (1391)	67542 (3942)	71925 (8325)	77242 (13642)	78772 (15172)