50edo: Difference between revisions
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! Cents | ! Cents | ||
! Ratios<ref group="note">{{sg|13-limit}}</ref> | ! Ratios<ref group="note">{{sg|13-limit}}</ref> | ||
! colspan="3" | [[Ups and | ! colspan="3" | [[Ups and downs notation]] | ||
|- | |- | ||
| 0 | | 0 | ||
| Line 387: | Line 387: | ||
=== Temperament measures === | === Temperament measures === | ||
{| 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]] (¢) | ||
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{| class="commatable wikitable center-all left-3 right-4 left-5" | {| class="commatable wikitable center-all left-3 right-4 left-5" | ||
|- | |- | ||
! [[Harmonic limit|Prime<br /> | ! [[Harmonic limit|Prime<br />limit]] | ||
! [[Ratio]]<ref group="note">{{rd}}</ref> | ! [[Ratio]]<ref group="note">{{rd}}</ref> | ||
! [[Monzo]] | ! [[Monzo]] | ||
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| Triaphonisma | | Triaphonisma | ||
|} | |} | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all | {| 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* | ||
! Temperament | ! Temperament | ||
|- | |- | ||
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| [[Decic]] | | [[Decic]] | ||
|} | |} | ||
<nowiki>* | <nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | ||
== Instruments == | == Instruments == | ||
| Line 807: | Line 807: | ||
=== Modern renderings === | === Modern renderings === | ||
; {{W|Johann Sebastian Bach}} | ; {{W|Johann Sebastian Bach}} | ||
* [https://www.youtube.com/watch?v=e6fMO-sue4Y "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742–1749) | * [https://www.youtube.com/watch?v=e6fMO-sue4Y "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024) | ||
* [https://www.youtube.com/watch?v=M3wQu4UF1pg "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) | * [https://www.youtube.com/watch?v=M3wQu4UF1pg "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024) | ||
; {{W|Nicolaus Bruhns}} | ; {{W|Nicolaus Bruhns}} | ||
* [https://www.youtube.com/watch?v=yrM50pvmD5c ''Prelude in E Minor "The Great"''] | * [https://www.youtube.com/watch?v=yrM50pvmD5c ''Prelude in E Minor "The Great"''] – rendered by Claudi Meneghin (2023) | ||
; {{W|Gabriel Fauré}} | ; {{W|Gabriel Fauré}} | ||
* [https://www.youtube.com/watch?v=7djfrUlw2ck ''Pavane'', op. 50] (1887) | * [https://www.youtube.com/watch?v=7djfrUlw2ck ''Pavane'', op. 50] (1887) – arranged for harpsichord and rendered by Claudi Meneghin (2020) | ||
; {{W|Akira Kamiya}} | ; {{W|Akira Kamiya}} | ||
* [https://www.youtube.com/watch?v=5UnPAhRqmb4 ''funfunfun ta yo''] (2007) | * [https://www.youtube.com/watch?v=5UnPAhRqmb4 ''funfunfun ta yo''] (2007) – rendered by MortisTheneRd (2024) | ||
=== 21st century=== | === 21st century=== | ||
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; [[Claudi Meneghin]] | ; [[Claudi Meneghin]] | ||
* [http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Claudi-Meneghin-Twinkle-canon-50-edo.mp3 Twinkle canon | * [http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Claudi-Meneghin-Twinkle-canon-50-edo.mp3 Twinkle canon – 50 edo] {{dead link}} | ||
* [https://www.youtube.com/watch?v=wcTVED9zFrU ''Blue Fugue for Organ''] (2018) | * [https://www.youtube.com/watch?v=wcTVED9zFrU ''Blue Fugue for Organ''] (2018) | ||
* [https://www.youtube.com/watch?v=Zh2jWoIXAf8 ''La Petite Poule Grise - Fugue''] (2019) | * [https://www.youtube.com/watch?v=Zh2jWoIXAf8 ''La Petite Poule Grise - Fugue''] (2019) | ||
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[[Category:Equal divisions of the octave|##]] <!-- 2-digit number --> | [[Category:Equal divisions of the octave|##]] <!-- 2-digit number --> | ||
[[Category:Golden meantone]] | [[Category:Golden meantone]] | ||
[[Category:Historical]] | |||
[[Category:Listen]] | |||
[[Category:Meantone]] | [[Category:Meantone]] | ||
[[Category:Meanpop]] | [[Category:Meanpop]] | ||