2000edo: Difference between revisions
m →Prime harmonics: does well in the 53-limit (with a little inconsistency) |
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" |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|2000|columns= | {{Harmonics in equal|2000|columns=12}} | ||
{{Harmonics in equal|2000|start=13|columns=12|collapsed=1|title=Approximation of prime harmonics in 2000edo (continued)}} | |||
=== Subsets and supersets === | === Subsets and supersets === | ||
| Line 16: | Line 17: | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | |- | ||
! Periods<br />per 8ve | |||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br> | ! Associated<br />ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| 20 | | 20 | ||
| 287\2000<br>(87\2000) | | 287\2000<br />(87\2000) | ||
| 172.2<br>(52.2) | | 172.2<br />(52.2) | ||
| 169/153<br>(?) | | 169/153<br />(?) | ||
| [[Calcium]] | | [[Calcium]] | ||
|- | |- | ||
|25 | |25 | ||
|301\2000<br>(1\2000) | |301\2000<br />(1\2000) | ||
|180.6<br>(0.6) | |180.6<br />(0.6) | ||
|272/245<br>(?) | |272/245<br />(?) | ||
|[[Hemimanganese]] | |[[Hemimanganese]] | ||
|- | |- | ||
| 80 | | 80 | ||
| 619\2000<br>(19\2000) | | 619\2000<br />(19\2000) | ||
| 371.4<br>(11.4) | | 371.4<br />(11.4) | ||
| 2275/1836<br>(?) | | 2275/1836<br />(?) | ||
| [[Mercury]] | | [[Mercury]] | ||
|} | |} | ||
<nowiki>* | <nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | ||
== Music == | |||
; [[Eliora]] | |||
* ''[https://www.youtube.com/watch?v=gM4dfrF5wPg Fugue, but Not (in A Mercury & Bidia)]'' (2024) | |||
[[Category:Listen]] | |||