29edo: Difference between revisions

TallKite (talk | contribs)
Intervals: added the EUs. fixed the monzos somewhat, could be better.
Fredg999 (talk | contribs)
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 Downs Notation]]
! colspan="3" | [[Ups and downs notation]]
([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>3</sup>A1 and ^d2)
([[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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| C upmajor or C up
| C upmajor or C up
|}
|}
For a more complete list, see [[Ups and Downs Notation #Chords and Chord Progressions]].
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}}
=== Zeta peak index ===
{{ZPI
| zpi = 116
| steps = 28.9399661541990
| step size = 41.4651487014917
| tempered height = 5.566209
| pure height = 4.200785
| integral = 1.000619
| gap = 14.904418
| octave = 1202.48931234326
| consistent = 8
| distinct = 7
}}


== 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}}
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* [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/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]]
* [[Lumatone mapping for 29edo]]
* [[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