25edo: Difference between revisions
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{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|- | |- | ||
! Degrees | |||
! Cents | |||
! Approximate <br> Ratios* | |||
! Armodue <br> Notation | |||
! colspan="3" | [[Ups and Downs notation]] | |||
|- | |- | ||
| 0 | | 0 | ||
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| C#, D | | C#, D | ||
|} | |} | ||
*based on treating 25-EDO as a 2.9.5.7.33.39.17.19 subgroup; other approaches are possible. | <nowiki>*</nowiki> based on treating 25-EDO as a 2.9.5.7.33.39.17.19 subgroup; other approaches are possible. | ||
25-edo chords can be named with ups and downs, see [[Ups and downs notation#Chords and Chord Progressions|Ups and downs notation - Chords and Chord Progressions]]. | 25-edo chords can be named with ups and downs, see [[Ups and downs notation#Chords and Chord Progressions|Ups and downs notation - Chords and Chord Progressions]]. | ||
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== Notation == | == Notation == | ||
=== | === Stein–Zimmermann–Gould notation === | ||
[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows: | |||
{{Sharpness- | {{Sharpness-sharp5-szg}} | ||
If the arrows are taken to have their own layer of enharmonic spellings, then in some cases notes may be best denoted using triple arrows. | |||
{{Sharpness- | === Kite's ups and downs notation === | ||
25edo can be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, dupflat etc. Note that dudsharp is equivalent to trup (triple-up) and dupflat is equivalent to trud (triple-down). | |||
{{Sharpness-sharp5a}} | |||
=== Sagittal notation === | === Sagittal notation === | ||
This notation uses the same sagittal sequence as [[32edo#Sagittal notation|32edo]], and is a superset of the notation for [[5edo #Sagittal notation|5edo]]. | This notation uses the same sagittal sequence as [[32edo #Sagittal notation|32edo]], and is a superset of the notation for [[5edo #Sagittal notation|5edo]]. | ||
<imagemap> | <imagemap> | ||
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|} | |} | ||
<references/> | <references/> | ||
== Octave stretch or compression == | |||
25edo's [[prime]] 3 is very sharp, and its sharp and flat mapping of 11 and 13 are about equally bad, it can benefit from [[octave shrinking]]. Some compressed-octave 25edo tunings include [[ed12|90ed12]], [[ed6|65ed6]] or [[zpi|96zpi]]. | |||
== Scales == | == Scales == | ||
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Named "fair" (by Igliashon Jones) because larger and smaller interval are more balanced. The major triads come with the nice 5/4 major third. | Named "fair" (by Igliashon Jones) because larger and smaller interval are more balanced. The major triads come with the nice 5/4 major third. | ||
{{Todo|expand scales list}} | |||
== Relationship to Armodue == | == Relationship to Armodue == | ||
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* [https://www.youtube.com/shorts/flOUjg09uAY ''25edo''] (2023) | * [https://www.youtube.com/shorts/flOUjg09uAY ''25edo''] (2023) | ||
* [https://www.youtube.com/shorts/4WZo1loLbeI ''Waltz in 25edo (short clip)''] (2024) | * [https://www.youtube.com/shorts/4WZo1loLbeI ''Waltz in 25edo (short clip)''] (2024) | ||
* [https://www.youtube.com/shorts/RXi0Fq-10ME ''20edo + 25edo locked improv''] (2026) | |||
; [[Fabrizio | ; [[Fabrizio Fiale]] | ||
* [http://micro.soonlabel.com/gene_ward_smith/Others/Fiale/flat%20fourth%20blues.mp3 ''Flat fourth blues''] | * [https://web.archive.org/web/20201127012528/http://micro.soonlabel.com/gene_ward_smith/Others/Fiale/flat%20fourth%20blues.mp3 ''Flat fourth blues''] | ||
; [[Francium]] | |||
* [https://www.youtube.com/watch?v=VrrnKs97NNY ''Plane Sonatina No. 3''] (2026) | |||
; [[groundfault]] | |||
* "Transpiration", from ''A New Dusk'' (2024) – [https://groundfco.bandcamp.com/track/transpiration-25edo Bandcamp] | [https://www.youtube.com/watch?v=1bnEO8vGvbo&t=1560 YouTube (26:00–27:43)] | |||
* "Monolithium", from ''Souvenirs of the Affliction'' (2025) – [https://groundfco.bandcamp.com/track/monolithium-25edo-2 Bandcamp] | [https://www.youtube.com/watch?v=rrjuGmmodn0&t=382 YouTube (6:22–10:08)] | |||
; [[JUMBLE]] | ; [[JUMBLE]] | ||
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; [[Budjarn Lambeth]] | ; [[Budjarn Lambeth]] | ||
* | * [https://www.youtube.com/watch?v=6VC5FWWMwR4 ''Improvisation in 25edo (Akebono I scale)''] (2025) | ||
* | * [https://www.youtube.com/watch?v=ZVsQAZdbvMI ''Improvisation in 25edo (Antipental Blues scale, glass unison timbre)''] (2025) | ||
* | * [https://www.youtube.com/watch?v=iy5Zwc8vipw ''Improvisation in 25edo (Antipental Blues scale, platinum inharmonic timbre)''] (2025) | ||
* | * [https://www.youtube.com/watch?v=B6HGVZzUze4 ''Improvisation in 25edo (Armodue5 scale)''] (2025) | ||
* | * [https://www.youtube.com/watch?v=EK7O0SxI9dI ''Improvisation in 25edo (Fennec scale)''] (2025) | ||
; [[Claudi Meneghin]] | ; [[Claudi Meneghin]] | ||
* [https://www.youtube.com/watch?v=oMJjfbdUddU ''Happy Birthday Canon · 6-in-1 Canon in 25edo | * [https://www.youtube.com/watch?v=oMJjfbdUddU ''Happy Birthday Canon · 6-in-1 Canon in 25edo''] | ||
; [[Micronaive]] | ; [[Micronaive]] | ||
* [https:// | * [https://www.youtube.com/watch?v=wCqVRcU9tec ''No.27.63''] | ||
; [[Herman Miller]] | ; [[Herman Miller]] | ||
* | * [https://soundcloud.com/morphosyntax-1/rabbit-tracks-in-the-snow ''Rabbit Tracks in the Snow''] (2025) | ||
; [[No Clue Music]] | ; [[No Clue Music]] | ||
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; [[NullPointerException Music]] | ; [[NullPointerException Music]] | ||
* [https://www.youtube.com/watch?v=kkPavppWUCg ''Edolian | * [https://www.youtube.com/watch?v=kkPavppWUCg "Sepia"], from [https://www.youtube.com/playlist?list=PLg1YtcJbLxnwTJkG4m0BWZWxIHj7ScdNn ''Edolian''] (2020) | ||
; [[Paul Rapoport]] | ; [[Paul Rapoport]] | ||
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Rapoport/StudyInFives.mp3 ''Study in Fives''] | * [https://web.archive.org/web/20201127012450/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Rapoport/StudyInFives.mp3 ''Study in Fives''] | ||
; [[Tapeworm Saga]] | ; [[Tapeworm Saga]] | ||
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; [[Chris Vaisvil]] | ; [[Chris Vaisvil]] | ||
* | * ''Fantasy for Piano in 25 Note per Octave Tuning'' (2012) – [https://www.chrisvaisvil.com/fantasy-for-piano-in-25-note-per-octave-tuning/ blog] | [http://micro.soonlabel.com/25edo/fantasy_for_piano_in_25_edo.mp3 play] | ||
; [[x2st]] | |||
* [https://www.youtube.com/watch?v=QwGCNxSRl9U ''Signal''] (2025) | |||
* [https://www.youtube.com/watch?v=bRb5cUqav68 ''Oxygen''] (2026) | |||
[[Category:Listen]] | [[Category:Listen]] | ||
[[Category:Twentuning]] | [[Category:Twentuning]] | ||