29edo: Difference between revisions
→21st century: +music |
m Text replacement - "Ups and Downs Notation" to "Ups and downs notation" |
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! Cents | ! Cents | ||
! Approx. Ratios of the [[13-limit]] | ! Approx. Ratios of the [[13-limit]] | ||
! colspan="3" | [[Ups and | ! colspan="3" | [[Ups and downs notation]] | ||
([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>3</sup>A1 and ^d2) | |||
! colspan="3" |[[SKULO interval names|SKULO interval names and notation]] (K or S = 1) | ! colspan="3" |[[SKULO interval names|SKULO interval names and notation]] (K or S = 1) | ||
|- | |- | ||
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| downminor | | downminor | ||
| zo | | zo | ||
| | | [a, b, 0, 1> | ||
| 7/6, 7/4 | | 7/6, 7/4 | ||
|- | |- | ||
| minor | | minor | ||
| fourthward wa | | fourthward wa | ||
| | | [a, b>, b < -1 | ||
| 32/27, 16/9 | | 32/27, 16/9 | ||
|- | |- | ||
| upminor | | upminor | ||
| gu | | gu | ||
| | | [a, b, -1> | ||
| 6/5, 9/5 | | 6/5, 9/5 | ||
|- | |- | ||
| " | | " | ||
| ilo | | ilo | ||
| | | [a, b, 0, 0, 1> | ||
| 11/9, 11/6 | | 11/9, 11/6 | ||
|- | |- | ||
| downmajor | | downmajor | ||
| lu | | lu | ||
| | | [a, b, 0, 0, -1> | ||
| 12/11, 18/11 | | 12/11, 18/11 | ||
|- | |- | ||
| " | | " | ||
| yo | | yo | ||
| | | [a, b, 1> | ||
| 5/4, 5/3 | | 5/4, 5/3 | ||
|- | |- | ||
| major | | major | ||
| fifthward wa | | fifthward wa | ||
| | | [a, b>, b > 1 | ||
| 9/8, 27/16 | | 9/8, 27/16 | ||
|- | |- | ||
| upmajor | | upmajor | ||
| ru | | ru | ||
| | | [a, b, 0, -1> | ||
| 9/7, 12/7 | | 9/7, 12/7 | ||
|} | |} | ||
| Line 436: | Line 437: | ||
| C upmajor or C up | | C upmajor or C up | ||
|} | |} | ||
For a more complete list, see [[Ups and | For a more complete list, see [[Ups and downs notation #Chords and Chord Progressions]]. | ||
== Notation == | == Notation == | ||
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=== Interval mappings === | === Interval mappings === | ||
{{Q-odd-limit intervals|29}} | {{Q-odd-limit intervals|29}} | ||
== Regular temperament properties == | == Regular temperament properties == | ||
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: <small>Furthermore, since external images can break, we recommend that you replace the above with a local copy of the image.</small> | : <small>Furthermore, since external images can break, we recommend that you replace the above with a local copy of the image.</small> | ||
</div> | </div> | ||
* [[Lumatone mapping for 29edo]] | |||
== Music == | == Music == | ||
=== Modern renderings === | === Modern renderings === | ||
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* [https://www.youtube.com/watch?v=jcZaU5PrhvU "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024) | * [https://www.youtube.com/watch?v=jcZaU5PrhvU "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024) | ||
* [https://www.youtube.com/watch?v=-Sa8IhljHM0 ''BACH - RICERCAR a 6 from the Musical Offering, tuned into 29-EDO'', BWV 1079] (1742-1749) - rendered by Claudi Meneghin (2025) | * [https://www.youtube.com/watch?v=-Sa8IhljHM0 ''BACH - RICERCAR a 6 from the Musical Offering, tuned into 29-EDO'', BWV 1079] (1742-1749) - rendered by Claudi Meneghin (2025) | ||
* [https://www.youtube.com/watch?v=856A7vTqIW8 ''Bach, Art of Fugue: Contrapunctus 11, tuned into 29-edo (harpischord)''] (1740-1746) - rendered by Claudi Meneghin (2025) | |||
; {{W|Nicolaus Bruhns}} | ; {{W|Nicolaus Bruhns}} | ||
| Line 997: | Line 985: | ||
* [https://www.youtube.com/watch?v=HGQ2b6v0TWE ''Glass Animals - Life Itself''] (2023) | * [https://www.youtube.com/watch?v=HGQ2b6v0TWE ''Glass Animals - Life Itself''] (2023) | ||
* [https://www.youtube.com/watch?v=ktk0VWbUbDg ''microtonal improvisation in 29edo''] (2023) | * [https://www.youtube.com/watch?v=ktk0VWbUbDg ''microtonal improvisation in 29edo''] (2023) | ||
* [https://www.youtube.com/shorts/fyPaaW9AyMA ''Homestuck: Pipeorgankind (microtonal cover in 29edo)''] (2024) | |||
* [https://www.youtube.com/shorts/SH5IQOi33Oo ''29edo groove''] (2025) | |||
; [[duckapus]] | ; [[duckapus]] | ||
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* [[User:Unque/29edo Composition Theory|Unque's approach]] | * [[User:Unque/29edo Composition Theory|Unque's approach]] | ||
* [[Extraclassical tonality]] | * [[Extraclassical tonality]] | ||
* [[67ed5]] – octave-stretched 29edo, improves harmonics 5.7.11.13.17 but damages 2.3 | * [[67ed5]] – octave-stretched 29edo, improves harmonics 5.7.11.13.17 but damages 2.3 | ||
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[[Category:IMPORTDEBUG - Change External Images]] | [[Category:IMPORTDEBUG - Change External Images]] | ||
[[Category:3-limit]] | [[Category:3-limit record edos|##]] <!-- 2-digit number --> | ||
[[Category: | [[Category:Subgroup temperaments]] | ||
[[Category:Twentuning]] | |||
[[Category:Negri]] | [[Category:Negri]] | ||
[[Category:Petrmic]] | [[Category:Petrmic]] | ||
[[Category:Porcupine]] | [[Category:Porcupine]] | ||
[[Category: | [[Category:Listen]] | ||