2019edo

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← 2018edo2019edo2020edo →
Prime factorization 3 × 673
Step size 0.594354¢
Fifth 1181\2019 (701.932¢)
Semitones (A1:m2) 191:152 (113.5¢ : 90.34¢)
Consistency limit 11
Distinct consistency limit 11

2019 equal divisions of the octave (2019edo), or 2019-tone equal temperament (2019tet), 2019 equal temperament (2019et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 2019 equal parts of about 0.594 ¢ each.

Theory

Approximation of prime harmonics in 2019edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error absolute (¢) +0.000 -0.023 +0.016 -0.029 +0.242 -0.112 +0.245 +0.258 -0.043 -0.157 +0.284
relative (%) +0 -4 +3 -5 +41 -19 +41 +43 -7 -26 +48
Steps
(reduced)
2019
(0)
3200
(1181)
4688
(650)
5668
(1630)
6985
(928)
7471
(1414)
8253
(177)
8577
(501)
9133
(1057)
9808
(1732)
10003
(1927)

2019edo is excellent in the 2.3.5.7 subgroup, supporting temperaments like saquadtrizo-asepgu and starscape.

In addition, it is a tuning for the minortone and domain temperaments.

See also