2023edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|2023}}
{{ED intro}}


== Theory ==
== Theory ==
2023edo is [[Enfactoring|enfactored]] in the 5-limit, with the same mapping as [[289edo]]. As such it maps the period to [[25/24]], which means [[septendecima]] is also tempered out. In the 17-limit on the [[patent val]], it is a tuning for the [[leaves]] temperament.
2023edo is [[enfactoring|enfactored]] in the 5-limit, with the same mapping and commas as [[289edo]].  


If we impose a stricter harmonic approach, and require all errors to be below 25%, the subgroup consisting of first 7 such harmonics for 2023edo is 2.13.17.23.47.61.71.
If we impose a stricter harmonic approach, and require all errors to be below 25%, the subgroup consisting of first 7 such harmonics for 2023edo is 2.13.17.23.47.61.71.


In the 2023e val, it supports the altierran rank-3 temperament tempering out the [[schisma]] and the [[quartisma]].
In the 2023e val, it supports the altierran rank-3 temperament tempering out the [[schisma]] and the [[quartisma]].
=== Prime harmonics ===
=== Prime harmonics ===
{{Harmonics in equal|2023}}
{{Harmonics in equal|2023}}
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Since 2023 factors as {{factorization|2023}}, 2023edo has subset edos {{EDOs| 7, 17, 119, and 289 }}.
Since 2023 factors as {{factorization|2023}}, 2023edo has subset edos {{EDOs| 7, 17, 119, and 289 }}.


== Regular temperament properties ==
=== Other uses ===
=== Rank-2 temperaments ===
2023edo also supports a high badness 323 & 2023 temperament, which [[Eliora]] designated as [[User:Eliora/Leaves|leaves]].
Note: 5-limit temperaments supported by 289edo are not included.
{{rank-2 begin}}
|-
| 17
| 144\2023<br />(25\2023)
| 85.417<br />(14.829)
| 1024/975<br />(8192/8125)
| [[Leaves]]
{{rank-2 end}}
{{orf}}


== Music ==
== Music ==