50edo: Difference between revisions

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! Cents

! Ratios<ref group="note">{{sg|13-limit}}</ref>

! colspan="3" | [[Ups and ~~Downs Notation~~]]

! colspan="3" | [[Ups and downs notation]]

|-

| 0

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== Regular temperament properties ==

=== 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 8ve Stretch (¢)~~

~~! colspan="2" | Tuning Error~~

|-

~~! [[TE error|Absolute]] (¢)~~

~~! [[TE simple badness|Relative]] (%)~~

|-

| 2.3

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| 1.57

| 6.54

|}

=== Commas ===

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{| class="commatable wikitable center-all left-3 right-4 left-5"

|-

! [[Harmonic limit|Prime ~~Limit~~]]

! [[Harmonic limit|Prime limit]]

! [[Ratio]]<ref group="note">{{rd}}</ref>

! [[Monzo]]

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=== Rank-2 temperaments ===

{~~| class="wikitable center-all right-3 left-5"~~

~~|+ Table of~~ rank-2 ~~temperaments by generator~~

|-

~~! Periods per 8ve~~

! Generator*

! Cents*

! Associated Ratio*

~~! Temperament~~

|-

| 1

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| 4/3 (78/77)

| [[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 ==

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=== Modern renderings ===

; {{W|Johann Sebastian Bach}}

* [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) – rendered by Claudi Meneghin (2024)

; {{W|Nicolaus Bruhns}}

* [https://www.youtube.com/watch?v=yrM50pvmD5c ''Prelude in E Minor "The Great"''] – rendered by Claudi Meneghin (2023)

; {{W|Gabriel Fauré}}

* [https://www.youtube.com/watch?v=7djfrUlw2ck ''Pavane'', op. 50] (1887) – arranged for harpsichord and rendered by Claudi Meneghin (2020)

; {{W|Akira Kamiya}}

* [https://www.youtube.com/watch?v=5UnPAhRqmb4 ''funfunfun ta yo''] (2007) – rendered by MortisTheneRd (2024)

=== 21st century===

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; [[Claudi Meneghin]]

* [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=Zh2jWoIXAf8 ''La Petite Poule Grise - Fugue''] (2019)

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[[Category:Equal divisions of the octave|##]]

[[Category:Golden meantone]]

[[Category:Historical]]

[[Category:Listen]]

[[Category:Meantone]]

[[Category:Meanpop]]

~~[[Category:Historical]]~~

~~[[Category:Listen]]~~

@@ Line 19: / Line 19: @@
 ! Cents
 ! Ratios<ref group="note">{{sg|13-limit}}</ref>
-! colspan="3" | [[Ups and Downs Notation]]
+! colspan="3" | [[Ups and downs notation]]
 |-
 | 0
@@ Line 386: / Line 386: @@
 == Regular temperament properties ==
 === Temperament measures ===
-{| class="wikitable center-4 center-5 center-6"
+{{comma basis begin}}
-! 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
@@ Line 430: / Line 422: @@
 | 1.57
 | 6.54
-|}
+{{comma basis end}}
 === Commas ===
@@ Line 437: / Line 429: @@
 {| class="commatable wikitable center-all left-3 right-4 left-5"
 |-
-! [[Harmonic limit|Prime<br />Limit]]
+! [[Harmonic limit|Prime<br />limit]]
 ! [[Ratio]]<ref group="note">{{rd}}</ref>
 ! [[Monzo]]
@@ Line 680: / Line 672: @@
 === Rank-2 temperaments ===
-{| class="wikitable center-all right-3 left-5"
+{{rank-2 begin}}
-|+ Table of rank-2 temperaments by generator
-|-
-! Periods<br>per 8ve
-! Generator*
-! Cents*
-! Associated<br>Ratio*
-! Temperament
 |-
 | 1
@@ Line 796: / Line 781: @@
 | 4/3<br>(78/77)
 | [[Decic]]
-|}
+{{rank-2 end}}
-<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
+{{orf}}
 == Instruments ==
@@ Line 807: / Line 792: @@
 === Modern renderings ===
 ; {{W|Johann Sebastian Bach}}
-* [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=e6fMO-sue4Y "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742–1749) &ndash; rendered by Claudi Meneghin (2024)
-* [https://www.youtube.com/watch?v=M3wQu4UF1pg "Contrapunctus 11" 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) &ndash; rendered by Claudi Meneghin (2024)
 ; {{W|Nicolaus Bruhns}}
-* [https://www.youtube.com/watch?v=yrM50pvmD5c ''Prelude in E Minor "The Great"''] – rendered by Claudi Meneghin (2023)
+* [https://www.youtube.com/watch?v=yrM50pvmD5c ''Prelude in E Minor "The Great"''] &ndash; rendered by Claudi Meneghin (2023)
 ; {{W|Gabriel Fauré}}
-* [https://www.youtube.com/watch?v=7djfrUlw2ck  ''Pavane'', op. 50] (1887) – arranged for harpsichord and rendered by Claudi Meneghin (2020)
+* [https://www.youtube.com/watch?v=7djfrUlw2ck  ''Pavane'', op. 50] (1887) &ndash; arranged for harpsichord and rendered by Claudi Meneghin (2020)
 ; {{W|Akira Kamiya}}
-* [https://www.youtube.com/watch?v=5UnPAhRqmb4 ''funfunfun ta yo''] (2007) – rendered by MortisTheneRd (2024)
+* [https://www.youtube.com/watch?v=5UnPAhRqmb4 ''funfunfun ta yo''] (2007) &ndash; rendered by MortisTheneRd (2024)
 === 21st century===
@@ Line 824: / Line 809: @@
 ; [[Claudi Meneghin]]
-* [http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Claudi-Meneghin-Twinkle-canon-50-edo.mp3 Twinkle canon – 50 edo] {{dead link}}
+* [http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Claudi-Meneghin-Twinkle-canon-50-edo.mp3 Twinkle canon &ndash; 50 edo] {{dead link}}
 * [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)
@@ Line 858: / Line 843: @@
 [[Category:Equal divisions of the octave|##]] <!-- 2-digit number -->
 [[Category:Golden meantone]]
+[[Category:Historical]]
+[[Category:Listen]]
 [[Category:Meantone]]
 [[Category:Meanpop]]
-[[Category:Historical]]
-[[Category:Listen]]