30631edo

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30631edo

30632edo →

Prime factorization	30631 (prime)
Step size	0.039176 ¢
Fifth	17918\30631 (701.956 ¢)
Semitones (A1:m2)	2902:2303 (113.7 ¢ : 90.22 ¢)
Consistency limit	35
Distinct consistency limit	35

30631 equal divisions of the octave (abbreviated 30631edo or 30631ed2), also called 30631-tone equal temperament (30631tet) or 30631 equal temperament (30631et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 30631 equal parts of about 0.0392 ¢ each. Each step represents a frequency ratio of 2^1/30631, or the 30631st root of 2.

30631edo is consistent in the 35-odd-limit and is a zeta peak integer edo.

Prime harmonics

Approximation of prime harmonics in 30631edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000	+0.0005	+0.0008	-0.0035	+0.0059	-0.0066	-0.0029	-0.0105	-0.0089	+0.0072	+0.0005
	Relative (%)	+0.0	+1.4	+2.1	-8.9	+15.0	-16.9	-7.4	-26.8	-22.6	+18.4	+1.3
Steps (reduced)		30631 (0)	48549 (17918)	71123 (9861)	85992 (24730)	105966 (14073)	113348 (21455)	125203 (2679)	130118 (7594)	138561 (16037)	148805 (26281)	151752 (29228)

Approximation of prime harmonics in 30631edo (continued)

Harmonic		37	41	43	47	53	59	61	67	71	73	79
Error	Absolute (¢)	+0.0092	-0.0069	+0.0033	+0.0152	+0.0027	-0.0094	-0.0163	-0.0148	+0.0038	+0.0190	-0.0042
	Relative (%)	+23.4	-17.5	+8.4	+38.9	+6.9	-23.9	-41.5	-37.8	+9.6	+48.4	-10.8
Steps (reduced)		159571 (6416)	164107 (10952)	166212 (13057)	170143 (16988)	175452 (22297)	180191 (27036)	181664 (28509)	185810 (2024)	188373 (4587)	189601 (5815)	193091 (9305)

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