6079edo

 ← 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
Special properties

6079 equal divisions of the octave (abbreviated 6079edo or 6079ed2), also called 6079-tone equal temperament (6079tet) or 6079 equal temperament (6079et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 6079 equal parts of about 0.197 ¢ each. Each step represents a frequency ratio of 21/6079, or the 6079th root of 2. 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)