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

A single step of 15900edo is the fine relative cent of 159edo, and this temperament also tempers out the magnetisma.

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)