4501edo

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4501edo

4502edo →

Prime factorization	7 × 643
Step size	0.266607 ¢
Fifth	2633\4501 (701.977 ¢)
Semitones (A1:m2)	427:338 (113.8 ¢ : 90.11 ¢)
Consistency limit	39
Distinct consistency limit	39

Template:EDO intro It is a very strong 37-limit system, distinctly consistent through the 39-odd-limit, and has the lowest 31-limit and 37-limit relative error of any division until 16808.

Prime harmonics

Approximation of prime harmonics in 4501edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	+0.022	+0.000	+0.025	+0.026	+0.086	+0.088	+0.021	+0.119	+0.061	+0.043
	Relative (%)	+0.0	+8.4	+0.2	+9.5	+9.8	+32.1	+33.0	+7.8	+44.8	+22.8	+16.2
Steps (reduced)		4501 (0)	7134 (2633)	10451 (1449)	12636 (3634)	15571 (2068)	16656 (3153)	18398 (394)	19120 (1116)	20361 (2357)	21866 (3862)	22299 (4295)

Subsets and supersets

4501edo has subset edos 7 and 643.