467edo: Difference between revisions
→Music: +music |
m changed EDO intro to ED intro |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
! [[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
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| {{monzo| -740 467 }} | | {{monzo| -740 467 }} | ||
| {{mapping| 467 740 }} | | {{mapping| 467 740 }} | ||
| 0.1439 | | +0.1439 | ||
| 0.1439 | | 0.1439 | ||
| 5.38 | | 5.38 | ||
| Line 36: | Line 37: | ||
| {{monzo| -36 11 8 }}, {{monzo| -16 35 -17 }} | | {{monzo| -36 11 8 }}, {{monzo| -16 35 -17 }} | ||
| {{mapping| 467 740 1084 }} | | {{mapping| 467 740 1084 }} | ||
| 0.2215 | | +0.2215 | ||
| 0.1608 | | 0.1608 | ||
| 6.02 | | 6.02 | ||
| Line 43: | Line 44: | ||
| 4375/4374, 2100875/2097152, {{monzo| -16 4 9 -4 }} | | 4375/4374, 2100875/2097152, {{monzo| -16 4 9 -4 }} | ||
| {{mapping| 467 740 1084 1311 }} | | {{mapping| 467 740 1084 1311 }} | ||
| 0.1741 | | +0.1741 | ||
| 0.1617 | | 0.1617 | ||
| 6.05 | | 6.05 | ||
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=== 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 | ||
|- | |- | ||
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| [[Counterhanson]] | | [[Counterhanson]] | ||
|} | |} | ||
<nowiki>* | <nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | ||
== Music == | == Music == | ||
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* "livemywarmlive" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/4jwETd5M7kbxkcR1TOflMk Spotify] | [https://francium223.bandcamp.com/track/livemywarmlive Bandcamp] | [https://www.youtube.com/watch?v=G2CH958nhOk YouTube] – counterkleismic[19] in 467edo tuning | * "livemywarmlive" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/4jwETd5M7kbxkcR1TOflMk Spotify] | [https://francium223.bandcamp.com/track/livemywarmlive Bandcamp] | [https://www.youtube.com/watch?v=G2CH958nhOk YouTube] – counterkleismic[19] in 467edo tuning | ||
[[Category:Counterkleismic]] | |||
[[Category:Listen]] | |||
[[Category:Ursulismic]] | [[Category:Ursulismic]] | ||