702edo

← 701edo

702edo

703edo →

Prime factorization	2 × 33 × 13
Step size	1.7094 ¢
Fifth	411\702 (702.564 ¢) (→ 137\234)
Semitones (A1:m2)	69:51 (117.9 ¢ : 87.18 ¢)
Dual sharp fifth	411\702 (702.564 ¢) (→ 137\234)
Dual flat fifth	410\702 (700.855 ¢) (→ 205\351)
Dual major 2nd	119\702 (203.419 ¢)
Consistency limit	7
Distinct consistency limit	7

702 equal divisions of the octave (abbreviated 702edo or 702ed2), also called 702-tone equal temperament (702tet) or 702 equal temperament (702et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 702 equal parts of about 1.71 ¢ each. Each step represents a frequency ratio of 2^1/702, or the 702nd root of 2.

Odd harmonics

Approximation of odd harmonics in 702edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+0.609	+0.011	+0.405	-0.491	+0.819	+0.498	+0.620	-0.682	-0.077	-0.695	+0.785
	Relative (%)	+35.6	+0.6	+23.7	-28.7	+47.9	+29.1	+36.3	-39.9	-4.5	-40.7	+46.0
Steps (reduced)		1113 (411)	1630 (226)	1971 (567)	2225 (119)	2429 (323)	2598 (492)	2743 (637)	2869 (61)	2982 (174)	3083 (275)	3176 (368)

Todo: explain its xenharmonic value