25edo - Revision history

FloraC: /* Notation */ adopt new template

2026-05-12T12:39:27Z

Notation: adopt new template

← Older revision		Revision as of 12:39, 12 May 2026
Line 255:		Line 255:
	=== Stein–Zimmermann–Gould notation ===		=== Stein–Zimmermann–Gould notation ===
	[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows:		[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows:
			{{Sharpness-sharp5-szg}}
	{{Sharpness-sharp5}}

	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.		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.

FloraC: /* Notation */ SZG notation

2026-05-12T12:35:49Z

Notation: SZG notation

← Older revision		Revision as of 12:35, 12 May 2026
Line 253:		Line 253:

	== Notation ==		== Notation ==
	=== ~~Ups and downs~~ notation ===		=== Stein–Zimmermann–Gould notation ===
	~~25edo can be notated with~~ [[~~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).~~		[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows:
	~~{{Sharpness-sharp5a}}~~

	~~Another notation~~ uses ~~[[Alternative symbols for ups and downs notation#Sharp-5\|alternative ups and downs]]. Here, this can be done using~~ sharps and flats with arrows~~, borrowed from extended [[Helmholtz–Ellis notation]]~~:

	{{Sharpness-sharp5}}		{{Sharpness-sharp5}}

	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.		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.

			=== 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>

FloraC: /* Music */ ++

2026-05-07T12:04:32Z

Music: ++

← Older revision		Revision as of 12:04, 7 May 2026
Line 603:		Line 603:
	; [[Francium]]		; [[Francium]]
	* [https://www.youtube.com/watch?v=VrrnKs97NNY ''Plane Sonatina No. 3''] (2026)		* [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]]

FloraC: /* Music */ cleanup & fix dead links

2026-05-07T12:00:02Z

Music: cleanup & fix dead links

← Older revision		Revision as of 12:00, 7 May 2026
Line 598:		Line 598:
	* [https://www.youtube.com/shorts/4WZo1loLbeI ''Waltz in 25edo (short clip)''] (2024)		* [https://www.youtube.com/shorts/4WZo1loLbeI ''Waltz in 25edo (short clip)''] (2024)

	; [[Fabrizio ~~Fulvio Fausto~~ Fiale]]		; [[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]]		; [[Francium]]
Line 614:		Line 614:

	; [[Budjarn Lambeth]]		; [[Budjarn Lambeth]]
	* ''[https://www.youtube.com/watch?v=6VC5FWWMwR4 Improvisation in 25edo (Akebono I scale)]'' (2025)		* [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=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=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=B6HGVZzUze4 ''Improvisation in 25edo (Armodue5 scale)''] (2025)
	* ''[https://www.youtube.com/watch?v=EK7O0SxI9dI Improvisation in 25edo (Fennec 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://~~youtu~~.be/wCqVRcU9tec ''No.27.63'']		* [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)		* [https://soundcloud.com/morphosyntax-1/rabbit-tracks-in-the-snow ''Rabbit Tracks in the Snow''] (2025)

	; [[No Clue Music]]		; [[No Clue Music]]
Line 633:		Line 633:

	; [[NullPointerException Music]]		; [[NullPointerException Music]]
	* [https://www.youtube.com/watch?v=kkPavppWUCg ''Edolian ~~- Sepia~~''] (2020)		* [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]]
Line 642:		Line 642:

	; [[Chris Vaisvil]]		; [[Chris Vaisvil]]
	* ~~[http://chrisvaisvil.com/?p=2377~~ ''Fantasy for Piano in 25 Note per Octave Tuning'']		* ''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]
	** ''[http://micro.soonlabel.com/25edo/fantasy_for_piano_in_25_edo.mp3 play]''

	[[Category:Listen]]		[[Category:Listen]]
	[[Category:Twentuning]]		[[Category:Twentuning]]

Francium: /* 21st century */ +music

2026-05-04T12:19:51Z

21st century: +music

← Older revision		Revision as of 12:19, 4 May 2026
Line 600:		Line 600:
	; [[Fabrizio Fulvio Fausto Fiale]]		; [[Fabrizio Fulvio Fausto Fiale]]
	* [http://micro.soonlabel.com/gene_ward_smith/Others/Fiale/flat%20fourth%20blues.mp3 ''Flat fourth blues'']		* [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)

	; [[JUMBLE]]		; [[JUMBLE]]

BudjarnLambeth: /* Scales */

2025-12-28T01:27:51Z

Scales

← Older revision		Revision as of 01:27, 28 December 2025
Line 568:		Line 568:

	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 ==

Overthink: /* Intervals */ formatting

2025-11-29T20:21:10Z

Intervals: formatting

← Older revision		Revision as of 20:21, 29 November 2025
Line 30:		Line 30:
	{\| class="wikitable center-all"		{\| class="wikitable center-all"
	\|-		\|-
	\| Degrees		! Degrees
	\| Cents		! Cents
	\| Approximate <br> Ratios*		! Approximate <br> Ratios*
	\| Armodue <br> Notation		! Armodue <br> Notation
	\| colspan="3" \| [[Ups and Downs notation]]		! colspan="3" \| [[Ups and Downs notation]]
	\|-		\|-
	\| 0		\| 0
Line 244:		Line 244:
	\| 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]].

BudjarnLambeth: Temporary until full version is done

2025-09-16T08:31:54Z

Temporary until full version is done

← Older revision		Revision as of 08:31, 16 September 2025
Line 485:		Line 485:
	\|}		\|}
	<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 ==

FloraC: Septimal blackwood is now canon

2025-09-11T15:13:08Z

Septimal blackwood is now canon

← Older revision		Revision as of 15:13, 11 September 2025
Line 487:		Line 487:

	== Scales ==		== Scales ==

	; [[Antipental blues]]		; [[Antipental blues]]

Line 494:		Line 493:
	Approximated from a [[hexatonic]] subset of the [[dwarf17marv]] scale. Contains lots of [[consonance]]s from the 2.3.7.11 [[subgroup]] while excluding the familiar [[harmonic]] 5.		Approximated from a [[hexatonic]] subset of the [[dwarf17marv]] scale. Contains lots of [[consonance]]s from the 2.3.7.11 [[subgroup]] while excluding the familiar [[harmonic]] 5.

			; [[Armodue (temperament)\|Armodue]]/[[Pelogic]][5]
	; [[Armodue]]/[[~~pelogic~~]][5]

	; 3 3 8 3 8		; 3 3 8 3 8

	A [[pentatonic]] ~~and~~ [[~~MOS~~]] scale somewhat resembling [[pelog]].		A [[pentatonic]] [[mos]] scale somewhat resembling [[pelog]].


	; Armodue/~~pelogic~~[9]		; Armodue/Pelogic[9]

	; 3 3 2 3 3 3 2 2 3 3		; 3 3 2 3 3 3 2 2 3 3

	A [[:Category:9-tone scales\|9-tone]] ~~MOS~~ scale somewhat resembling pelog.		A [[:Category:9-tone scales\|9-tone]] mos scale somewhat resembling pelog.


	; [[Equipentatonic]]		; [[Equipentatonic]]
Line 513:		Line 509:
	; 5 5 5 5 5		; 5 5 5 5 5

	~~Somewhat resembles~~ [[~~slendro~~]]~~. Is the~~ [[~~blacksmith]]/[[blackwood~~]][5] ~~MOS~~. ~~Is the same as~~ [[~~5edo~~]].		Identical to [[5edo]], and [[Blackwood]][5]. Somewhat resembles [[slendro]].


	; [[Mabila]]/[[trismegistus]] justified pentatonic		; [[Mabila]]/[[trismegistus]] justified pentatonic
Line 520:		Line 515:
	; 3 3 9 2 8		; 3 3 9 2 8

	A pentatonic subset of the ~~mabila~~/~~trismegistus~~[16] ~~MOS scale~~, it is those temperaments' pentatonic ~~MOS~~, but with their complex 3/2 substituted in.		A pentatonic subset of the Mabila/Trismegistus[16], it is those temperaments' pentatonic mos, but with their complex 3/2 substituted in.

			; Mabila/trismegistus justified enneatonic
	; Mabila/trismegistus justified ~~nonatonic~~

	; 3 3 2 3 4 2 2 2 3 3		; 3 3 2 3 4 2 2 2 3 3

	A 9-tone subset of the ~~mabila~~/~~trismegistus~~[16] ~~MOS scale~~, it is those temperaments' 9-tone ~~MOS~~, but with their complex 3/2 substituted in.		A 9-tone subset of the Mabila/Trismegistus[16], it is those temperaments' 9-tone mos, but with their complex 3/2 substituted in.


	; [[Magic]][13]		; [[Magic]][13]
Line 534:		Line 527:
	; 1 1 5 1 1 1 5 1 1 1 5 1 1		; 1 1 5 1 1 1 5 1 1 1 5 1 1

	A [[:Category:13-tone scales\|13-tone]] ~~MOS~~ scale. A useful starting point for a [[scalesmith]] to find [[~~MODMOS~~]]es, or to find 4- to 9-tone subsets.		A [[:Category:13-tone scales\|13-tone]] mos scale. A useful starting point for a [[scalesmith]] to find [[modmos]]es, or to find 4- to 9-tone subsets.


	; Amulet{{idiosyncratic}}		; Amulet{{idiosyncratic}}
Line 541:		Line 533:
	; 2 1 2 2 1 2 3 2 2 1 2 3 2		; 2 1 2 2 1 2 3 2 2 1 2 3 2

	A ~~MODMOS~~ of Magic[13]. It is the same as Magic[13], but with 4 tones shifted over by one [[chroma]] (the difference between ~~MOS~~ step sizes, in this case 4\25). This gives its intervals a more even spread, which makes it very useable as a chromatic-like scale. Can also be used to take 4- to 9-tone subsets.		A modmos of Magic[13]. It is the same as Magic[13], but with 4 tones shifted over by one [[chroma]] (the difference between mos step sizes, in this case 4\25). This gives its intervals a more even spread, which makes it very useable as a chromatic-like scale. Can also be used to take 4- to 9-tone subsets.


	; Fennec{{idiosyncratic}}		; Fennec{{idiosyncratic}}
Line 549:		Line 540:

	A subset of the amulet scale. Approximated from the original fennec scale of [[14edo]].		A subset of the amulet scale. Approximated from the original fennec scale of [[14edo]].


	; [[Passion]][13]		; [[Passion]][13]
Line 555:		Line 545:
	; 2 2 2 2 2 2 1 2 2 2 2 2 2		; 2 2 2 2 2 2 1 2 2 2 2 2 2

	A 13-tone ~~MOS~~ scale with a lot of consonances available. Can be used as a chromatic-like scale. Can also be used to take 4- to 9-tone subsets.		A 13-tone mos scale with a lot of consonances available. Can be used as a chromatic-like scale. Can also be used to take 4- to 9-tone subsets.


	; Akebono I		; Akebono I
Line 564:		Line 553:
	A subset of the Passion[13] scale. Approximated from the original Akebono I scale of [[12edo]].		A subset of the Passion[13] scale. Approximated from the original Akebono I scale of [[12edo]].

			; Unfair [[Blackwood]][10]
	; Unfair [[~~blackwood~~]][10]

	; 4 1 4 1 4 1 4 1 4 1		; 4 1 4 1 4 1 4 1 4 1
Line 571:		Line 559:
	Named "unfair" (by Igliashon Jones) because of the predominance of the larger interval. The major triads come with the large supermajor third.		Named "unfair" (by Igliashon Jones) because of the predominance of the larger interval. The major triads come with the large supermajor third.

			; Fair [[Blackwood]][10]
	; Fair [[~~blackwood~~]][10]

	; 3 2 3 2 3 2 3 2 3 2		; 3 2 3 2 3 2 3 2 3 2
Line 582:		Line 569:

	== Keyboard layout ==		== Keyboard layout ==
	~~'''~~Piano keyboard~~'''~~		; Piano keyboard
	[[File:mm25.PNG\|alt=mm25.PNG\|mm25.PNG]]		[[File:mm25.PNG\|alt=mm25.PNG\|mm25.PNG]]

			; Lumatone
	~~'''~~Lumatone~~'''~~

	See [[Lumatone mapping for 25edo]]		See [[Lumatone mapping for 25edo]]

Lucius Chiaraviglio: /* 21st century */ Add Bryan Deister's ''25edo'' (2023)

2025-09-03T10:10:35Z

21st century: Add Bryan Deister's ''25edo'' (2023)

← Older revision		Revision as of 10:10, 3 September 2025
Line 603:		Line 603:

	; [[Bryan Deister]]		; [[Bryan Deister]]
			* [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)