1024edo

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← 1023edo1024edo1025edo →
Prime factorization 210
Step size 1.17188¢
Fifth 599\1024 (701.953¢)
Semitones (A1:m2) 97:77 (113.7¢ : 90.23¢)
Consistency limit 9
Distinct consistency limit 9

1024 equal divisions of the octave (1024edo), or 1024-tone equal temperament (1024tet), 1024 equal temperament (1024et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 1024 equal parts of about 1.17 ¢ each.

Theory

1024edo has a near-perfect 3/2, and it is also the 10th power of two EDO.

It is consistent in the 9-odd-limit. It is great for the 2.3.5.7.13.19.23 subgroup.

Prime harmonics

Approximation of prime harmonics in 1024edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error absolute (¢) +0.000 -0.002 +0.405 +0.315 -0.537 -0.293 +0.513 +0.143 -0.149 +0.501 -0.114
relative (%) +0 -0 +35 +27 -46 -25 +44 +12 -13 +43 -10
Steps
(reduced)
1024
(0)
1623
(599)
2378
(330)
2875
(827)
3542
(470)
3789
(717)
4186
(90)
4350
(254)
4632
(536)
4975
(879)
5073
(977)