260edo: Difference between revisions

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=== Harmonics ===
=== Harmonics ===
{{Harmonics in equal|260}}
{{Harmonics in equal|260}}
== Scales ==
* Kartvelian Tetradecatonic: 18 18 18 18 18 18 19 19 19 19 19 19 19 19


== Trivia ==
== Trivia ==

Revision as of 15:36, 26 October 2022

← 259edo 260edo 261edo →
Prime factorization 22 × 5 × 13
Step size 4.61538 ¢ 
Fifth 152\260 (701.538 ¢) (→ 38\65)
Semitones (A1:m2) 24:20 (110.8 ¢ : 92.31 ¢)
Consistency limit 9
Distinct consistency limit 9

Template:EDO intro

Theory

In 5-limit 260edo has the same mapping as 65edo, and in 7-limit the same as 130edo.

260edo offers a sizeable improvement in 29-limit over 130edo, tempering out 841/840, 16820/16807, and 47096/46875.

Harmonics

Approximation of prime harmonics in 260edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 -0.42 +1.38 +0.40 -2.09 -0.53 +1.20 -2.13 -0.58 -0.35 -0.42
Relative (%) +0.0 -9.0 +29.9 +8.8 -45.2 -11.4 +26.0 -46.1 -12.6 -7.5 -9.1
Steps
(reduced)
260
(0)
412
(152)
604
(84)
730
(210)
899
(119)
962
(182)
1063
(23)
1104
(64)
1176
(136)
1263
(223)
1288
(248)

Scales

  • Kartvelian Tetradecatonic: 18 18 18 18 18 18 19 19 19 19 19 19 19 19

Trivia

English Wikipedia has an article on:

260 is the number of days in the Mayan sacred calendar Tzolkin.