2023edo: Difference between revisions
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" Tags: Mobile edit Mobile web edit |
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== Theory == | == Theory == | ||
2023edo is [[ | 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 }}. | ||
= | === Other uses === | ||
2023edo also supports a high badness 323 & 2023 temperament, which [[Eliora]] designated as [[User:Eliora/Leaves|leaves]]. | |||
== Music == | == Music == | ||