31202edo

← 31201edo

31202edo

31203edo →

Prime factorization	2 × 15601
Step size	0.0384591 ¢
Fifth	18252\31202 (701.955 ¢) (→ 9126\15601)
Semitones (A1:m2)	2956:2346 (113.7 ¢ : 90.22 ¢)
Consistency limit	23
Distinct consistency limit	23

31202 equal divisions of the octave (abbreviated 31202edo or 31202ed2), also called 31202-tone equal temperament (31202tet) or 31202 equal temperament (31202et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 31202 equal parts of about 0.0385 ¢ each. Each step represents a frequency ratio of 2^1/31202, or the 31202nd root of 2.

Prime harmonics

Approximation of prime harmonics in 31202edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000	+0.0000	+0.0077	-0.0034	-0.0071	-0.0046	-0.0006	+0.0064	-0.0069	+0.0107	+0.0064
	Relative (%)	+0.0	+0.0	+20.0	-8.8	-18.5	-12.0	-1.6	+16.6	-18.0	+27.7	+16.7
Steps (reduced)		31202 (0)	49454 (18252)	72449 (10045)	87595 (25191)	107941 (14335)	115461 (21855)	127537 (2729)	132544 (7736)	141144 (16336)	151579 (26771)	154581 (29773)

Subsets and supersets

31202edo doubles 15601edo, from which the approximations of the 3rd, 19th, and 23rd harmonics are derived.

Todo: explain its xenharmonic value