1024edo: Difference between revisions

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Created page with "{{Infobox ET}} {{EDO intro|1024}} ==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 th..."
 
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{{EDO intro|1024}}
{{EDO intro|1024}}
==Theory==
==Theory==
1024edo has a near-perfect 3/2, and it is also the 10th power of two EDO.
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.
It is consistent in the 9-odd-limit. It is great for the 2.3.5.7.13.19.23 subgroup.

Revision as of 19:41, 6 May 2023

← 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

Template:EDO intro

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)