3071edo

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← 3070edo 3071edo 3072edo →
Prime factorization 37 × 83
Step size 0.390752¢ 
Fifth 1796\3071 (701.791¢)
Semitones (A1:m2) 288:233 (112.5¢ : 91.05¢)
Dual sharp fifth 1797\3071 (702.182¢)
Dual flat fifth 1796\3071 (701.791¢)
Dual major 2nd 522\3071 (203.973¢)
Consistency limit 3
Distinct consistency limit 3

3071 equal divisions of the octave (abbreviated 3071edo or 3071ed2), also called 3071-tone equal temperament (3071tet) or 3071 equal temperament (3071et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 3071 equal parts of about 0.391 ¢ each. Each step represents a frequency ratio of 21/3071, or the 3071st root of 2.

Harmonics

Approximation of odd harmonics in 3071edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -0.164 +0.140 -0.151 +0.063 +0.033 -0.020 -0.024 +0.157 -0.151 +0.075 +0.055
Relative (%) -42.0 +35.9 -38.7 +16.0 +8.5 -5.0 -6.1 +40.2 -38.5 +19.3 +14.1
Steps
(reduced)
4867
(1796)
7131
(989)
8621
(2479)
9735
(522)
10624
(1411)
11364
(2151)
11998
(2785)
12553
(269)
13045
(761)
13489
(1205)
13892
(1608)


Icon-Todo.png Todo: explain its xenharmonic value