260edo: Difference between revisions

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{{Wikipedia|260 (number)}}
{{Wikipedia|260 (number)}}
260 is the number of days in the Mayan sacred calendar Tzolkin.
260 is the number of days in the Mayan sacred calendar Tzolkin.
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->

Revision as of 19:05, 3 July 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)

Trivia

English Wikipedia has an article on:

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