2023edo: Difference between revisions
No edit summary |
added music |
||
| Line 3: | Line 3: | ||
== Theory == | == Theory == | ||
{{Harmonics in equal|2023}} | {{Harmonics in equal|2023}} | ||
2023edo is enfactored in the 5-limit, with the same mapping as [[289edo]]. | |||
In the patent val, it is good in the no-11s 17-limit, a property which it shares with [[323edo]]. As such, a 2.3.5.7.13.17 temperament can be created by merging 323 & 2023, which gives the comma basis {57375/57344, 111537/111475, 4860000/4857223, 340075827/340000000}. It is also period-17, and maps the period to 25/24, which means [[septendecima]] is also tempered out. | In the patent val, it is good in the no-11s 17-limit, a property which it shares with [[323edo]]. As such, a 2.3.5.7.13.17 temperament can be created by merging 323 & 2023, which gives the comma basis {57375/57344, 111537/111475, 4860000/4857223, 340075827/340000000}. It is also period-17, and maps the period to 25/24, which means [[septendecima]] is also tempered out. | ||
| Line 12: | Line 12: | ||
The divisors of 2023 are {{EDOs|1, 7, 17, 119, 289}}. It factors as 7 * 17<sup>2</sup>. | The divisors of 2023 are {{EDOs|1, 7, 17, 119, 289}}. It factors as 7 * 17<sup>2</sup>. | ||
== Music == | |||
* [https://www.youtube.com/watch?v=8K2RYO_oCnM Bagatelle in 11/8♭, (Op. 2, No. 2)] by [[Eliora]] | |||
[[Category:Equal divisions of the octave|####]]<!-- 4-digit number --> | [[Category:Equal divisions of the octave|####]]<!-- 4-digit number --> | ||
[[Category:Quartismic]] | [[Category:Quartismic]] | ||