2814edo

← 2813edo

2814edo

2815edo →

Prime factorization	2 × 3 × 7 × 67
Step size	0.426439 ¢
Fifth	1646\2814 (701.919 ¢) (→ 823\1407)
Semitones (A1:m2)	266:212 (113.4 ¢ : 90.41 ¢)
Consistency limit	17
Distinct consistency limit	17

Theory

2814edo has all the harmonics from 3 to 17 approximated below 1/3 relative error and it is as a corollary consistent in the 17-odd-limit.

In the 7-limit, it is contorted, with the same commas tempered out as 1407edo.

In the 11-limit, it supports rank-3 odin temperament.

It is also a tuning for the Double Bastille temperament in the 2.5.7.11.13 subgroup.

Prime harmonics

Approximation of prime harmonics in 2814edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.036	+0.040	+0.044	+0.068	-0.016	-0.051	+0.142	-0.129	-0.153	-0.046
	Relative (%)	+0.0	-8.4	+9.4	+10.3	+15.9	-3.7	-12.0	+33.2	-30.3	-35.9	-10.8
Steps (reduced)		2814 (0)	4460 (1646)	6534 (906)	7900 (2272)	9735 (1293)	10413 (1971)	11502 (246)	11954 (698)	12729 (1473)	13670 (2414)	13941 (2685)