# 1024edo

 ← 1023edo 1024edo 1025edo →
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 (abbreviated 1024edo or 1024ed2), also called 1024-tone equal temperament (1024tet) or 1024 equal temperament (1024et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1024 equal parts of about 1.17 ¢ each. Each step represents a frequency ratio of 21/1024, or the 1024th root of 2.

## Theory

1024edo has a near-perfect 3/2, and, as the 10th power of two EDO, offers some much-needed correction for the flaws of 512edo.

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 -0.2 +34.6 +26.9 -45.8 -25.0 +43.8 +12.2 -12.7 +42.7 -9.7
Steps
(reduced)
1024
(0)
1623
(599)
2378
(330)
2875
(827)
3542
(470)
3789
(717)
4186
(90)
4350
(254)
4632
(536)
4975
(879)
5073
(977)