110edo

← 109edo

110edo

111edo →

Prime factorization	2 × 5 × 11
Step size	10.9091 ¢
Fifth	64\110 (698.182 ¢) (→ 32\55)
Semitones (A1:m2)	8:10 (87.27 ¢ : 109.1 ¢)
Dual sharp fifth	65\110 (709.091 ¢) (→ 13\22)
Dual flat fifth	64\110 (698.182 ¢) (→ 32\55)
Dual major 2nd	19\110 (207.273 ¢)
Consistency limit	5
Distinct consistency limit	5

Theory

It tempers out 15625/15552 and 3486784401/3355443200 in the 5-limit. Using the patent val, it tempers out 1728/1715, 3125/3087, and 3645/3584 in the 7-limit.

Approximation of odd harmonics in 110edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-3.77	-4.50	+2.08	+3.36	+5.05	-0.53	+2.64	+4.14	-2.97	-1.69	+4.45
	Relative (%)	-34.6	-41.2	+19.1	+30.8	+46.3	-4.8	+24.2	+37.9	-27.2	-15.5	+40.8
Steps (reduced)		174 (64)	255 (35)	309 (89)	349 (19)	381 (51)	407 (77)	430 (100)	450 (10)	467 (27)	483 (43)	498 (58)