310edo

← 309edo

310edo

311edo →

Prime factorization	2 × 5 × 31
Step size	3.87097 ¢
Fifth	181\310 (700.645 ¢)
Semitones (A1:m2)	27:25 (104.5 ¢ : 96.77 ¢)
Dual sharp fifth	182\310 (704.516 ¢) (→ 91\155)
Dual flat fifth	181\310 (700.645 ¢)
Dual major 2nd	53\310 (205.161 ¢)
Consistency limit	3
Distinct consistency limit	3

It is part of the optimal ET sequence for the 31-5-commatic, fantastic, quadrasruta and wizard temperaments.

As a multiple of 10 and 31, it supports many 10th-octave temperaments and 31st-octave temperaments.

Odd harmonics

Approximation of odd harmonics in 310edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-1.31	+0.78	-1.08	+1.25	-1.64	-0.53	-0.53	-0.44	+0.55	+1.48	-1.18
	Relative (%)	-33.8	+20.2	-28.0	+32.3	-42.4	-13.6	-13.6	-11.3	+14.2	+38.2	-30.4
Steps (reduced)		491 (181)	720 (100)	870 (250)	983 (53)	1072 (142)	1147 (217)	1211 (281)	1267 (27)	1317 (77)	1362 (122)	1402 (162)