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 386: | Line 386: | ||
== Regular temperament properties == | == Regular temperament properties == | ||
=== Temperament measures === | === Temperament measures === | ||
{ | {| class="wikitable center-4 center-5 center-6" | ||
! rowspan="2" | [[Subgroup]] | |||
! rowspan="2" | [[Comma list|Comma List]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br>8ve Stretch (¢) | |||
! colspan="2" | Tuning Error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |- | ||
| 2.3 | | 2.3 | ||
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| 1.57 | | 1.57 | ||
| 6.54 | | 6.54 | ||
|} | |||
=== Commas === | === Commas === | ||
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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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=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {| class="wikitable center-all right-3 left-5" | ||
|+ Table of rank-2 temperaments by generator | |||
|- | |||
! Periods<br>per 8ve | |||
! Generator* | |||
! Cents* | |||
! Associated<br>Ratio* | |||
! Temperament | |||
|- | |- | ||
| 1 | | 1 | ||
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| 4/3<br>(78/77) | | 4/3<br>(78/77) | ||
| [[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 == | ||
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=== 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:Meantone]] | |||
[[Category:Meanpop]] | |||
[[Category:Historical]] | [[Category:Historical]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||