119edo

← 118edo

119edo

120edo →

Prime factorization	7 × 17
Step size	10.084 ¢
Fifth	70\119 (705.882 ¢) (→ 10\17)
Semitones (A1:m2)	14:7 (141.2 ¢ : 70.59 ¢)
Dual sharp fifth	70\119 (705.882 ¢) (→ 10\17)
Dual flat fifth	69\119 (695.798 ¢)
Dual major 2nd	20\119 (201.681 ¢)
Consistency limit	3
Distinct consistency limit	3

Theory

It is notable for offering as many as four different options for fifths:

68 steps: 7edo superflat fifth: 17 17 17 17 17 17 17

69 steps: Approximation of 2/7 comma meantone: 19 19 19 12 19 19 19 19 12

70 steps: 17edo sharp fifth (patent): 21 21 7 21 21 21 7, 3 3 1 3 3 3 1 3 3 1 3 3 3 1 3 3 1 3 3 3 1 3 3 1 3 3 3 1 3 3 1 3 3 3 1 3 3 1 3 3 3 1 3 3 1 3 3 3 1

71 steps: Approximation of half comma eventone: 23 23 2 23 23 23 2, 7 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2

Harmonics

Approximation of odd harmonics in 119edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+3.93	-3.12	-0.76	-2.23	+3.30	-3.55	+0.81	-4.12	+5.01	+3.17	-3.06
	Relative (%)	+38.9	-30.9	-7.5	-22.1	+32.8	-35.2	+8.0	-40.8	+49.7	+31.4	-30.4
Steps (reduced)		189 (70)	276 (38)	334 (96)	377 (20)	412 (55)	440 (83)	465 (108)	486 (10)	506 (30)	523 (47)	538 (62)