4096edo: Difference between revisions

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Created page with "{{Infobox ET}} {{EDO intro|4096}} == Theory == {{Harmonics in equal|4096}} This is the 12th power of two EDO, and it is consistent in the 15-odd-limit, a first for a power of..."
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Revision as of 19:43, 6 May 2023

← 4095edo 4096edo 4097edo →
Prime factorization 212
Step size 0.292969 ¢ 
Fifth 2396\4096 (701.953 ¢) (→ 599\1024)
Semitones (A1:m2) 388:308 (113.7 ¢ : 90.23 ¢)
Consistency limit 15
Distinct consistency limit 15

Template:EDO intro

Theory

Approximation of prime harmonics in 4096edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.002 +0.112 +0.022 +0.049 -0.000 -0.073 +0.143 +0.144 -0.085 -0.114
Relative (%) +0.0 -0.6 +38.3 +7.4 +16.8 -0.1 -24.8 +48.9 +49.0 -29.0 -38.8
Steps
(reduced)
4096
(0)
6492
(2396)
9511
(1319)
11499
(3307)
14170
(1882)
15157
(2869)
16742
(358)
17400
(1016)
18529
(2145)
19898
(3514)
20292
(3908)

This is the 12th power of two EDO, and it is consistent in the 15-odd-limit, a first for a power of two EDO.