260edo: Difference between revisions

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{{Infobox ET
{{Infobox ET}}
| Prime factorization = 2<sup>2</sup> × 5 × 13
{{ED intro}}
| Step size = 4.61538¢
| Fifth = 152\260 (701.54¢) (→ [[65edo|38\65]])
| Major 2nd = 44\130 (203.08¢)
}}
{{EDO intro|260}}


== Theory ==
== Theory ==
In 5-limit 260edo has the same mapping as [[65edo]], and in 7-limit the same as [[130edo]].
260edo is [[enfactoring|enfactored]] in the [[7-limit]], with the same tuning as [[65edo]] in the 5-limit, and the same as [[130edo]] in the 7-limit. The mappings for [[harmonic]]s [[11/1|11]] and [[17/1|17]] differ, but 260edo's are hardly an improvement over 130edo's. [[29/1|29]] is the first harmonic that is offered as a sizeable improvement over 130edo. In the 2.3.5.7.29 subgroup, 260edo tempers out 841/840, 16820/16807, and 47096/46875.


260edo offers a sizeable improvement in 29-limit over 130edo, tempering out 841/840, 16820/16807, and 47096/46875.
=== Prime harmonics ===
 
=== Harmonics ===
{{Harmonics in equal|260}}
{{Harmonics in equal|260}}


== Trivia ==
== Scales ==
{{Wikipedia|260 (number)}}
* Kartvelian Tetradecatonic: 18 18 18 18 18 18 19 19 19 19 19 19 19 19
260 is the number of days in the Mayan sacred calendar Tzolkin.