33edo: Difference between revisions
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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 stretch (¢) | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
! colspan="2" | Tuning error | ! colspan="2" | Tuning error | ||
|- | |- | ||
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{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|- | |- | ||
! Periods<br> per 8ve | ! Periods<br />per 8ve | ||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br>ratio* | ! Associated<br />ratio* | ||
! Temperament | ! Temperament | ||
|- | |- | ||
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| 509.09 | | 509.09 | ||
| 4/3 | | 4/3 | ||
| [[Flattertone]] (33cd)<br>[[Deeptone]] a.k.a. tragicomical (33) | | [[Flattertone]] (33cd)<br />[[Deeptone]] a.k.a. tragicomical (33) | ||
|- | |- | ||
| 1 | | 1 | ||
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|- | |- | ||
| 3 | | 3 | ||
| 7\33<br>(4\33) | | 7\33<br />(4\33) | ||
| 254.55<br>(145.45) | | 254.55<br />(145.45) | ||
| 8/7<br>(12/11) | | 8/7<br />(12/11) | ||
| [[Triforce]] (33d) | | [[Triforce]] (33d) | ||
|- | |- | ||
| 3 | | 3 | ||
| 13\33<br>(2\33) | | 13\33<br />(2\33) | ||
| 472.73<br>(72.73) | | 472.73<br />(72.73) | ||
| 4/3<br>(25/24) | | 4/3<br />(25/24) | ||
| [[Inflated]] (33bcddd) | | [[Inflated]] (33bcddd) | ||
|- | |- | ||
| 3 | | 3 | ||
| 14\33<br>(3\33) | | 14\33<br />(3\33) | ||
| 509.09<br>(98.09) | | 509.09<br />(98.09) | ||
| 4/3<br>(16/15) | | 4/3<br />(16/15) | ||
| [[August]] (33cd) | | [[August]] (33cd) | ||
|} | |} | ||
<nowiki>* | <nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | ||
== Scales == | == Scales == | ||
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=== Modern renderings === | === Modern renderings === | ||
; {{W|Johann Sebastian Bach}} | ; {{W|Johann Sebastian Bach}} | ||
* [https://www.youtube.com/watch?v=IhR9oFt5zx4 "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] ( | * [https://www.youtube.com/watch?v=IhR9oFt5zx4 "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024) | ||
* [https://www.youtube.com/watch?v=ynPQPm_ekos "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] ( | * [https://www.youtube.com/watch?v=ynPQPm_ekos "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024) | ||
=== 21st century === | === 21st century === | ||
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; [[Budjarn Lambeth]] | ; [[Budjarn Lambeth]] | ||
* [https://youtu.be/scCuGXnj5IY ''Music in 33EDO (33-Tone Equal Temperament) | * [https://youtu.be/scCuGXnj5IY ''Music in 33EDO (33-Tone Equal Temperament) – Feb 2024''] (2024) | ||
; [[Claudi Meneghin]] | ; [[Claudi Meneghin]] | ||
* [https://www.youtube.com/watch?v=REkrbdesbLo ''Rising Canon on a Ground'', for Baroque Oboe, Bassoon, Violone] (2024) | * [https://www.youtube.com/watch?v=REkrbdesbLo ''Rising Canon on a Ground'', for Baroque Oboe, Bassoon, Violone] (2024) – ([https://www.youtube.com/watch?v=4fhcNPjFv14 for Organ]) | ||
* [https://www.youtube.com/watch?v=pkYN8SX6luY ''Lytel Twyelyghte Musicke (Little Twilight Music)'', for Brass and Timpani] (2024) | * [https://www.youtube.com/watch?v=pkYN8SX6luY ''Lytel Twyelyghte Musicke (Little Twilight Music)'', for Brass and Timpani] (2024) | ||