2814edo

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2814 equal divisions of the octave (2814edo), or 2814-tone equal temperament (2814tet), 2814 equal temperament (2814et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 2814 equal parts of about 0.426 ¢ each.

Theory

Approximation of prime harmonics in 2814edo
Harmonic 2 3 5 7 11 13 17 19 23 29
Error absolute (¢) +0.000 -0.036 +0.040 +0.044 +0.068 -0.016 -0.051 +0.142 -0.129 -0.153
relative (%) +0 -8 +9 +10 +16 -4 -12 +33 -30 -36
Steps
(reduced)
2814
(0)
4460
(1646)
6534
(906)
7900
(2272)
9735
(1293)
10413
(1971)
11502
(246)
11954
(698)
12729
(1473)
13670
(2414)

2814edo has all its harmonics below 1 standard deviation in the 17-limit and it is 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.