65536edo

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65536edo

65537edo →

Prime factorization	216
Step size	0.0183105 ¢
Fifth	38336\65536 (701.953 ¢) (→ 599\1024)
Semitones (A1:m2)	6208:4928 (113.7 ¢ : 90.23 ¢)
Consistency limit	23
Distinct consistency limit	23

Theory

Approximation of prime harmonics in 65536edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.00000	-0.00188	+0.00220	+0.00344	-0.00569	-0.00032	+0.00065	-0.00325	-0.00286	+0.00655	-0.00383
	Relative (%)	+0.0	-10.2	+12.0	+18.8	-31.1	-1.7	+3.5	-17.8	-15.6	+35.8	-20.9
Steps (reduced)		65536 (0)	103872 (38336)	152170 (21098)	183983 (52911)	226717 (30109)	242512 (45904)	267876 (5732)	278392 (16248)	296456 (34312)	318373 (56229)	324678 (62534)

This is the 16th power of two EDO, and the first such EDO to be consistent in the 23-odd-limit. It also has potential in the 27-odd-limit, with the only inconsistent intervals being 25/22, 44/25, 27/25, and 50/27.