6079edo

From Xenharmonic Wiki
Jump to navigation Jump to search
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.

This page is a stub. You can help the Xenharmonic Wiki by expanding it.
← 6078edo 6079edo 6080edo →
Prime factorization 6079 (prime)
Step size 0.197401 ¢ 
Fifth 3556\6079 (701.958 ¢)
Semitones (A1:m2) 576:457 (113.7 ¢ : 90.21 ¢)
Consistency limit 29
Distinct consistency limit 29

Template:EDO intro It is a very strong 11- and 13-limit system, with a lower 11- and 13-limit relative error than any smaller division. It is also a zeta peak edo and distinctly consistent through the 29-odd-limit. A basis for the 11-limit commas is {3294225/3294172, 14348907/14348180, 35156250/35153041, 100663296/100656875}, and for the 13-limit commas, {123201/123200, 1574640/1574573, 1664000/1663893, 1990656/1990625, 3294225/3294172}.

Prime harmonics

Approximation of prime harmonics in 6079edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 +0.0026 -0.0002 +0.0177 +0.0227 +0.0053 +0.0619 -0.0299 +0.0527 +0.0658 +0.0870
Relative (%) +0.0 +1.3 -0.1 +8.9 +11.5 +2.7 +31.3 -15.1 +26.7 +33.4 +44.1
Steps
(reduced)
6079
(0)
9635
(3556)
14115
(1957)
17066
(4908)
21030
(2793)
22495
(4258)
24848
(532)
25823
(1507)
27499
(3183)
29532
(5216)
30117
(5801)