27edo: Difference between revisions
→21st century: Add Bryan Deister's ''27edo waltz'' (2025) |
→Regular temperament properties: not really "out of tune" for ennealimmal, just not precise enough |
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|+ style="font-size: 105%;" | Circle of fifths in 27edo | |+ style="font-size: 105%;" | Circle of fifths in 27edo | ||
|- style="white-space: nowrap;" | |- style="white-space: nowrap;" | ||
!Cents | ! Cents | ||
! colspan="2" | Extended<br | ! colspan="2" | Extended<br>Pythagorean<br>notation | ||
! colspan="2" | Quartertone<br | ! colspan="2" | Quartertone<br>notation | ||
|- | |- | ||
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Using standard [[chain-of-fifths notation]], a sharp (an augmented unison) raises a note by 4 edosteps, just one edostep beneath the following nominal, and the flat conversely lowers. The sharp is quite wide at about 178¢, sounding like a narrow major 2nd. C to C♯ describes the approximate 10/9 and 11/10 interval. An accidental can be divided in half, and the remaining places can then be filled in with half-sharps, half-flats, sesquisharps, and sesquiflats, reducing the need for double sharps and double flats. The half-sharp is notated as a quartertone, but at about 89¢ it sounds more like a narrow semitone. The gamut from C to D is C, D♭, C{{demisharp2}}, D{{demiflat2}}, C♯, and D, with many ascending intervals appearing to be descending on the staff. | Using standard [[chain-of-fifths notation]], a sharp (an augmented unison) raises a note by 4 edosteps, just one edostep beneath the following nominal, and the flat conversely lowers. The sharp is quite wide at about 178¢, sounding like a narrow major 2nd. C to C♯ describes the approximate 10/9 and 11/10 interval. An accidental can be divided in half, and the remaining places can then be filled in with half-sharps, half-flats, sesquisharps, and sesquiflats, reducing the need for double sharps and double flats. The half-sharp is notated as a quartertone, but at about 89¢ it sounds more like a narrow semitone. The gamut from C to D is C, D♭, C{{demisharp2}}, D{{demiflat2}}, C♯, and D, with many ascending intervals appearing to be descending on the staff. | ||
=== | === Stein–Zimmermann–Gould notation === | ||
27edo can be notated with [[ups and downs]], spoken as up, dup, downsharp, sharp, upsharp etc. and down, dud, upflat etc. Note that dup is equivalent to dudsharp and dud is equivalent to dupflat. | [[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows: | ||
{{Sharpness-sharp4-szg}} | |||
=== Kite's ups and downs notation === | |||
27edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, downsharp, sharp, upsharp etc. and down, dud, upflat etc. Note that dup is equivalent to dudsharp and dud is equivalent to dupflat. | |||
{{Ups and downs sharpness}} | {{Ups and downs sharpness}} | ||
=== Sagittal notation === | === Sagittal notation === | ||
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| 3 | | 3 | ||
| 2\27 | | 2\27 | ||
| [[Augene]] (27e) / | | [[Augene]] (27e) / eugene (27) | ||
| [[3L 3s]], [[3L 6s]], [[3L 9s]], [[12L 3s]] | | [[3L 3s]], [[3L 6s]], [[3L 9s]], [[12L 3s]] | ||
|- | |- | ||
| Line 1,032: | Line 1,034: | ||
| 9 | | 9 | ||
| 1\27 | | 1\27 | ||
| [[Niner]] (27e | | [[Niner]] (27e) | ||
| [[9L 9s]] | | [[9L 9s]] | ||
|} | |} | ||
In addition, 27edo can be used as a detempering target for [[ennealimmal]]. | |||
=== Commas === | === Commas === | ||
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; [[Brendan Byrnes]] | ; [[Brendan Byrnes]] | ||
* [https://www.youtube.com/watch?v=sWaqlAgSWcc ''Sunspots''] (2022) | * [https://www.youtube.com/watch?v=sWaqlAgSWcc ''Sunspots''] (2022) | ||
* ''27 EDO Etude'' (2022) | |||
** [https://brendanbyrnes.bandcamp.com/track/27-edo-etude on Bandcamp] | |||
** [https://m.youtube.com/watch?v=Lml2cfJW9QI on YouTube] (with sheet music) | |||
* [https://www.youtube.com/watch?v=lywpWPBYQi0 ''Istril Bloom''] (2025) | * [https://www.youtube.com/watch?v=lywpWPBYQi0 ''Istril Bloom''] (2025) | ||
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* [https://www.youtube.com/shorts/FSPUebavRCQ ''27edo waltz''] (2025) | * [https://www.youtube.com/shorts/FSPUebavRCQ ''27edo waltz''] (2025) | ||
* [https://www.youtube.com/shorts/izpEen38Sps ''27edo improv''] (2025) | * [https://www.youtube.com/shorts/izpEen38Sps ''27edo improv''] (2025) | ||
* [https://www.youtube.com/shorts/sKnjDPEOQtc | * ''Flies Control My Pain - 27edo'' (2026) | ||
** [https://www.youtube.com/shorts/sKnjDPEOQtc <nowiki>[short 1]</nowiki>] (using [[tetracot]] Lumatone mapping) | |||
** [https://www.youtube.com/shorts/QEebNJkcIlE <nowiki>[short 2]</nowiki>] (using [[Starling_temperaments#Kumonga|kumonga]] Lumatone mapping) | |||
; [[Francium]] | ; [[Francium]] | ||
* [https://www.youtube.com/watch?v=3Ty3FpmAdGA ''Happy Birthday in 27edo''] (2025) | * [https://www.youtube.com/watch?v=3Ty3FpmAdGA ''Happy Birthday in 27edo''] (2025) | ||
* [https://www.youtube.com/watch?v=Wfg2gWW9qZg '' | * "Router-Pseudoscientist" from ''TOTMC 2025'' (2025) – [https://open.spotify.com/track/5qrXYuhz3XOEaUyFvP4ldp Spotify] | [https://francium223.bandcamp.com/track/router-pseudoscientist Bandcamp] | [https://www.youtube.com/watch?v=Wfg2gWW9qZg YouTube] | ||
* [https://www.youtube.com/watch?v=hY0zo6MqQtU ''Waltz No. 11 in A flat major''] (2026) | |||
* [https://www.youtube.com/watch?v=wY43YLa17s4 ''Plane Sonatina No. 4''] (2026) | |||
; [[groundfault]] | |||
* From ''A New Dusk'' (2024) – [https://groundfco.bandcamp.com/album/a-new-dusk Bandcamp] | [https://www.youtube.com/watch?v=1bnEO8vGvbo YouTube] | |||
** "Back Stalk" | |||
** "Superior Intermedial" – in part, the rest being in 31edo | |||
** "Revelation of Your Forever" | |||
* "Sakura Blade Minivan", from ''Souvenirs of the Affliction'' (2025) – [https://groundfco.bandcamp.com/track/sakura-blade-minivan-27-35edo-2 Bandcamp] | [https://www.youtube.com/watch?v=rrjuGmmodn0&t=1436 YouTube (23:56–27:58)] – in part, the rest being in 35edo | |||
; [[Igliashon Jones]] | ; [[Igliashon Jones]] | ||
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* "Funkrotonal" from ''Microtonal Allsorts'' (2023) – [https://open.spotify.com/track/1zjNkbm8kIkuCxtodyFCL0 Spotify] | [https://xotla.bandcamp.com/track/funkrotonal-27edo Bandcamp] | [https://www.youtube.com/watch?v=7gt1BBJuJsE YouTube] | * "Funkrotonal" from ''Microtonal Allsorts'' (2023) – [https://open.spotify.com/track/1zjNkbm8kIkuCxtodyFCL0 Spotify] | [https://xotla.bandcamp.com/track/funkrotonal-27edo Bandcamp] | [https://www.youtube.com/watch?v=7gt1BBJuJsE YouTube] | ||
[[Category:Listen]] | [[Category:Listen]] | ||
[[Category:Augmented]] | |||
[[Category:Sensi]] | [[Category:Sensi]] | ||
[[Category:Superpyth]] | [[Category:Superpyth]] | ||
[[Category:Tetracot]] | [[Category:Tetracot]] | ||
[[Category:Twentuning]] | [[Category:Twentuning]] | ||