1012edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
The 1012 equal division divides the octave into 1012 equal parts of 1.1858 cents each. It is a strong 13-limit system, distinctly consistent through the 15 limit. It is a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak edo]], though not zeta integral nor zeta gap. A basis for the 13-limit commas is 2401/2400, 4096/4095, 6656/6655, 9801/9800 and | 2 6 -1 2 0 4 >. 1012 is divisible by [[22edo|22]], [[46edo|46]] and [[253edo|253]].
{{EDO intro|1012}}
 
== Theory ==
It is a strong 13-limit system, distinctly consistent through the 15 limit. It is a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak edo]], though not zeta integral nor zeta gap. A basis for the 13-limit commas is 2401/2400, 4096/4095, 6656/6655, 9801/9800 and | 2 6 -1 2 0 4 >.
 
1012edo conta


[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->

Revision as of 17:32, 21 October 2022

← 1011edo 1012edo 1013edo →
Prime factorization 22 × 11 × 23
Step size 1.18577 ¢ 
Fifth 592\1012 (701.976 ¢) (→ 148\253)
Semitones (A1:m2) 96:76 (113.8 ¢ : 90.12 ¢)
Consistency limit 15
Distinct consistency limit 15

Template:EDO intro

Theory

It is a strong 13-limit system, distinctly consistent through the 15 limit. It is a zeta peak edo, though not zeta integral nor zeta gap. A basis for the 13-limit commas is 2401/2400, 4096/4095, 6656/6655, 9801/9800 and | 2 6 -1 2 0 4 >.

1012edo conta