15601edo

The 15601 edo divides the octave into 15601 equal parts of 0.076918 cents each. It is the denominator of the next convergent for log₂3 past 665, before 31867, and has a fifth which is 0.000002 cents stretched. It is the 1819th prime edo.

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15601edo

15602edo →

Prime factorization	15601 (prime)
Step size	0.0769181 ¢
Fifth	9126\15601 (701.955 ¢) (convergent)
Semitones (A1:m2)	1478:1173 (113.7 ¢ : 90.22 ¢)
Consistency limit	5
Distinct consistency limit	5

Theory

This system is at its best behavior in the 2.3.19.23 subgroup

Approximation of prime harmonics in 15601edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000	+0.0000	-0.0308	+0.0351	+0.0313	+0.0338	+0.0379	+0.0064	-0.0069	-0.0278	-0.0320
	Relative (%)	+0.0	+0.0	-40.0	+45.6	+40.7	+44.0	+49.2	+8.3	-9.0	-36.2	-41.7
Steps (reduced)		15601 (0)	24727 (9126)	36224 (5022)	43798 (12596)	53971 (7168)	57731 (10928)	63769 (1365)	66272 (3868)	70572 (8168)	75789 (13385)	77290 (14886)