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

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)

2814edo has all its harmonics below 20% error in the 17-limit and it is as a corollary consistent.

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

In the 11-limit, it supports rank three Odin temperament.

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