4096edo

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4096edo

4097edo →

Prime factorization	212
Step size	0.292969 ¢
Fifth	2396\4096 (701.953 ¢) (→ 599\1024)
Semitones (A1:m2)	388:308 (113.7 ¢ : 90.23 ¢)
Consistency limit	15
Distinct consistency limit	15

Theory

Approximation of prime harmonics in 4096edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.002	+0.112	+0.022	+0.049	-0.000	-0.073	+0.143	+0.144	-0.085	-0.114
	Relative (%)	+0.0	-0.6	+38.3	+7.4	+16.8	-0.1	-24.8	+48.9	+49.0	-29.0	-38.8
Steps (reduced)		4096 (0)	6492 (2396)	9511 (1319)	11499 (3307)	14170 (1882)	15157 (2869)	16742 (358)	17400 (1016)	18529 (2145)	19898 (3514)	20292 (3908)

This is the 12th power of two EDO, and it is consistent in the 15-odd-limit, a first for a power of two EDO.