695edo

← 694edo

695edo

696edo →

Prime factorization	5 × 139
Step size	1.72662¢
Fifth	407\695 (702.734¢)
Semitones (A1:m2)	69:50 (119.1¢ : 86.33¢)
Dual sharp fifth	407\695 (702.734¢)
Dual flat fifth	406\695 (701.007¢)
Dual major 2nd	118\695 (203.741¢)
Consistency limit	5
Distinct consistency limit	5

695 equal divisions of the octave (abbreviated 695edo or 695ed2), also called 695-tone equal temperament (695tet) or 695 equal temperament (695et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 695 equal parts of about 1.73 ¢ each. Each step represents a frequency ratio of 2^1/695, or the 695th root of 2.

695edo is only consistent to the 5-odd-limit and the error of harmonic 3 is quite large. The equal temperament is most notable for tempering out 10976/10935, providing the optimal patent val for the hemimage temperament. It also tempers out the escapade comma, [32 -7 -9⟩ in the 5-limit; and [27 0 -8 -3⟩ and [-9 5 -8 7⟩ in the 7-limit.

Odd harmonics

Approximation of odd harmonics in 695edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+0.779	+0.449	-0.193	-0.169	-0.527	+0.336	-0.499	+0.368	-0.535	+0.586	+0.215
	Relative (%)	+45.1	+26.0	-11.2	-9.8	-30.5	+19.4	-28.9	+21.3	-31.0	+33.9	+12.4
Steps (reduced)		1102 (407)	1614 (224)	1951 (561)	2203 (118)	2404 (319)	2572 (487)	2715 (630)	2841 (61)	2952 (172)	3053 (273)	3144 (364)

Subsets and supersets

Since 695 factors into 5 × 139, 695edo contains 5edo and 139edo as subsets.