163edo

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163edo

164edo →

Prime factorization	163 (prime)
Step size	7.36196 ¢
Fifth	95\163 (699.387 ¢)
Semitones (A1:m2)	13:14 (95.71 ¢ : 103.1 ¢)
Dual sharp fifth	96\163 (706.748 ¢)
Dual flat fifth	95\163 (699.387 ¢)
Dual major 2nd	28\163 (206.135 ¢)
Consistency limit	5
Distinct consistency limit	5

Theory

It tempers out 15625/15552 (kleisma) and 22876792454961/21990232555520 in the 5-limit. Using the patent val, it tempers out 1728/1715, 3125/3087, and 413343/409600 in the 7-limit; 2187/2156, 2420/2401, 2835/2816 and 4375/4356 in the 11-limit; 351/350, 640/637, 975/968, 1188/1183, and 1573/1568 in the 13-limit.

163edo is the 38th prime EDO.

Odd harmonics

Approximation of odd harmonics in 163edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-2.57	-3.49	+2.95	+2.22	+0.83	-1.26	+1.30	-1.89	-3.03	+0.38	-2.51
	Relative (%)	-34.9	-47.4	+40.1	+30.2	+11.3	-17.2	+17.7	-25.6	-41.2	+5.2	-34.1
Steps (reduced)		258 (95)	378 (52)	458 (132)	517 (28)	564 (75)	603 (114)	637 (148)	666 (14)	692 (40)	716 (64)	737 (85)