8192edo

Revision as of 03:53, 17 May 2024 by Tristanbay (talk | contribs) (Theory: Fixed grammar and added mentions of very good harmonic approximations to text)
← 8191edo 8192edo 8193edo →
Prime factorization 213
Step size 0.146484 ¢ 
Fifth 4792\8192 (701.953 ¢) (→ 599\1024)
Semitones (A1:m2) 776:616 (113.7 ¢ : 90.23 ¢)
Consistency limit 9
Distinct consistency limit 9

Template:EDO intro

Theory

Approximation of prime harmonics in 8192edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 -0.0019 -0.0344 +0.0217 +0.0492 -0.0003 -0.0726 -0.0033 -0.0029 +0.0615 +0.0328
Relative (%) +0.0 -1.3 -23.5 +14.8 +33.6 -0.2 -49.6 -2.2 -2.0 +42.0 +22.4
Steps
(reduced)
8192
(0)
12984
(4792)
19021
(2637)
22998
(6614)
28340
(3764)
30314
(5738)
33484
(716)
34799
(2031)
37057
(4289)
39797
(7029)
40585
(7817)

This is the 13th power of two EDO, but with a consistency limit of only 9, it's not as impressive as the one before it, though to be fair, its representations of harmonics 3, 13, 19, and 23 are very good.