4320edo

← 4319edo

4320edo

4321edo →

Prime factorization	25 × 33 × 5
Step size	0.277778 ¢
Fifth	2527\4320 (701.944 ¢)
Semitones (A1:m2)	409:325 (113.6 ¢ : 90.28 ¢)
Consistency limit	23
Distinct consistency limit	23

Theory

4320edo is distinctly consistent in the 23-odd-limit. While this fact is not remarkable on its own right (282edo is the first such EDO), what's remarkable is the relationship that 4320edo offers to fractions of the octave, given that it is also a largely composite EDO. It is the first largely composite EDO with a greater consistency limit since 72edo.

Harmonics

Approximation of prime harmonics in 4320edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.011	+0.075	+0.063	+0.071	+0.028	+0.045	-0.013	+0.059	-0.133	-0.036
	Relative (%)	+0.0	-3.8	+27.1	+22.7	+25.5	+10.0	+16.1	-4.7	+21.2	-47.8	-12.8
Steps (reduced)		4320 (0)	6847 (2527)	10031 (1391)	12128 (3488)	14945 (1985)	15986 (3026)	17658 (378)	18351 (1071)	19542 (2262)	20986 (3706)	21402 (4122)