User:Aura/1714833edo: Difference between revisions

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{{novelty}}
{{novelty}}
{{stub}}
{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1714833}}
{{EDO intro|1714833}}

Revision as of 21:53, 11 July 2023

This page presents a novelty topic.

It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex.

Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

← 1714832edo 1714833edo 1714834edo →
Prime factorization 32 × 190537
Step size 0.000699777 ¢ 
Fifth 1003113\1714833 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2) 162459:128934 (113.7 ¢ : 90.22 ¢)
Consistency limit 11
Distinct consistency limit 11

Template:EDO intro

Theory

This EDO seems to be at its best in the 2.3.5.7.13.17.29 subgroup.


Approximation of prime harmonics in 1714833edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000000 +0.000000 +0.000055 +0.000096 +0.000349 -0.000100 -0.000116 -0.000197 -0.000224 -0.000087 -0.000225
Relative (%) +0.0 +0.0 +7.9 +13.7 +49.9 -14.3 -16.6 -28.2 -32.0 -12.4 -32.2
Steps
(reduced)
1714833
(0)
2717946
(1003113)
3981719
(552053)
4814145
(1384479)
5932348
(787849)
6345636
(1201137)
7009316
(149984)
7284486
(425154)
7757153
(897821)
8330626
(1471294)
8495619
(1636287)