24edo - Revision history

Lucius Chiaraviglio: /* Instruments */ Add quarter-tone vibraphone

2026-09-21T03:07:48Z

Instruments: Add quarter-tone vibraphone

← Older revision		Revision as of 03:07, 21 September 2026
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	== Instruments ==		== Instruments ==
	The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This [[Microtonal_Keyboards#twelvenoteoctavescales\|"12 note octave scales"]] approach is used in a wide part of the existing literature—see below.		The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This [[Microtonal_Keyboards#twelvenoteoctavescales\|"12 note octave scales"]] approach is used in a wide part of the existing literature—see below. It is usually done with pianos, since tuning one of them to displace it from the other by a quarter-tone is simple (although laborious); nevertheless, it can be done with fixed-pitch 12EDO instruments by manufacturing a custom set of bars (etc.) for one fo them, as shown in djmoderne's [https://www.youtube.com/watch?v=hs5vQyMbq8I ''Quarter tone Vibraphone tests''] (2014).

	=== Guitar ===		=== Guitar ===

Lucius Chiaraviglio: /* Counterpoint */ strict contrary motion: provide valid link link

2026-09-17T14:51:08Z

Counterpoint: strict contrary motion: provide valid link link

← Older revision		Revision as of 14:51, 17 September 2026
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	== Counterpoint ==		== Counterpoint ==
	24edo is the first edo to have both a [[sqrt(25/24)]] distinct from [[25/24]] and a correct [[5-odd-limit]]. It is thus the first edo which allows to lead the two voices of a major third to a minor third by [[strict contrary motion]]. And vice versa.		24edo is the first edo to have both a [[sqrt(25/24)]] distinct from [[25/24]] and a correct [[5-odd-limit]]. It is thus the first edo which allows to lead the two voices of a major third to a minor third by strict {{W\|Contrapuntal_motion#Contrary_motion\|contrary motion}}. And vice versa.

	Furthermore, in the same fashion, every sequence of intervals available in 12edo are reachable by equal contrary motion in 24edo.		Furthermore, in the same fashion, every sequence of intervals available in 12edo are reachable by equal contrary motion in 24edo.

Lucius Chiaraviglio: /* Quarter-tone instruments */ Keyboard ergonomics is partially dependent on composition style

2026-09-13T19:48:54Z

Quarter-tone instruments: Keyboard ergonomics is partially dependent on composition style

← Older revision		Revision as of 19:48, 13 September 2026
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	==== Quarter-tone instruments ====		==== Quarter-tone instruments ====

	a very small number of quarter-tone pianos have been built which combine two keyboards (with the bottom one repeated at the top) in a single instrument. This arrangement works well enough for other keyboard instruments such as harpsichords and organs having multiple manuals to get different tonal quality and volume, but yields rather poor ergonomics for playing chords that span the keyboards~~; it~~ also makes instruments that either sacrifice power or are very large and heavy. Here are a couple of videos of these instruments being tested/played experimentally (to demonstrate their capabilities rather than to play specific compositions that would qualify for the 24edo Music section):		a very small number of quarter-tone pianos have been built which combine two keyboards (with the bottom one repeated at the top) in a single instrument. This arrangement works well enough for other keyboard instruments such as harpsichords and organs having multiple manuals to get different tonal quality and volume, but yields rather poor ergonomics for playing chords that span the keyboards. That said, some quarter-tone styles of composition mainly alternate between the two circles of fifths and only rarely play notes from both at the same time, and for such styles the ergonomic problem would be greatly mitigated. It also makes instruments that either sacrifice power or are very large and heavy. Here are a couple of videos of these instruments being tested/played experimentally (to demonstrate their capabilities rather than to play specific compositions that would qualify for the 24edo Music section):

	; Quarter-tone grand piano, Czech Museum of Music (this piano is essentially two stacked grand pianos, and as such is massive, in order to avoid sacrificing strings per note)		; Quarter-tone grand piano, Czech Museum of Music (this piano is essentially two stacked grand pianos, and as such is massive, in order to avoid sacrificing strings per note)

Lucius Chiaraviglio: /* Quarter-tone instruments */ Flesh out description a bit

2026-09-13T19:41:44Z

Quarter-tone instruments: Flesh out description a bit

← Older revision		Revision as of 19:41, 13 September 2026
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	==== Quarter-tone instruments ====		==== Quarter-tone instruments ====

	A very small number of quarter-tone pianos have been built ~~— here~~ are a couple of videos of these instruments being tested/played experimentally (to demonstrate their capabilities rather than to play specific compositions that would qualify for the 24edo Music section):		a very small number of quarter-tone pianos have been built which combine two keyboards (with the bottom one repeated at the top) in a single instrument. This arrangement works well enough for other keyboard instruments such as harpsichords and organs having multiple manuals to get different tonal quality and volume, but yields rather poor ergonomics for playing chords that span the keyboards; it also makes instruments that either sacrifice power or are very large and heavy. Here are a couple of videos of these instruments being tested/played experimentally (to demonstrate their capabilities rather than to play specific compositions that would qualify for the 24edo Music section):

	; Quarter-tone grand piano, Czech Museum of Music (this piano is essentially two stacked grand pianos, and as such is massive, in order to avoid sacrificing strings per note)		; Quarter-tone grand piano, Czech Museum of Music (this piano is essentially two stacked grand pianos, and as such is massive, in order to avoid sacrificing strings per note)

Fredg999: /* Persian quartertone accidentals */ Koron and Sori are now in SMuFL (Unicode)

2026-08-06T03:22:11Z

Persian quartertone accidentals: Koron and Sori are now in SMuFL (Unicode)

← Older revision		Revision as of 03:22, 6 August 2026
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	'''Pros:''' easy to read.		'''Pros:''' easy to read.

	'''Cons:''' ~~hard to write on a computer,~~ does not fit with standard notation well.		'''Cons:''' does not fit with standard notation well.

	=== Sagittal notation ===		=== Sagittal notation ===

Lucius Chiaraviglio: /* Brass */ Add Schilke B5 quartertone trumpet

2026-05-05T00:53:25Z

Brass: Add Schilke B5 quartertone trumpet

← Older revision		Revision as of 00:53, 5 May 2026
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	=== Brass ===		=== Brass ===
	Since the trombone is a free-pitched instrument, playing quartertones, or any other edo simply requires increased precision in moving the slide. If you want a brass instrument with fixed steps, [https://www.a-courtois.com/en/instruments/trompettes-2/t-o-m-a Courtois] and [https://www.vanlaartrumpets.nl/en/trumpets/quartertone Van Laar] both produce trumpets with an additional valve that enable you to easily play quartertones.		Since the trombone is a free-pitched instrument, playing quartertones, or any other edo simply requires increased precision in moving the slide. If you want a brass instrument with fixed steps, [https://www.a-courtois.com/en/instruments/trompettes-2/t-o-m-a Courtois] and [https://www.vanlaartrumpets.nl/en/trumpets/quartertone Van Laar] both produce trumpets with an additional valve that enable you to easily play quartertones. In addition, {{W\|Renold Schilke\|Schilke Music Products Incorporated}} built quartertone trumpets (model B5), as shown in All Things Brass And Technology's [https://www.youtube.com/watch?v=1ip0lOlQ2Xo&list=WL&index=257 ''Schilke B5 Quartertone Trumpet from 1971''] (2023).

	== Music ==		== Music ==

Yourmusic Productions: /* Instruments */ The Angine de Poitrine microtonal renaissance continues, add another sales link

2026-05-01T18:35:42Z

Instruments: The Angine de Poitrine microtonal renaissance continues, add another sales link

← Older revision		Revision as of 18:35, 1 May 2026
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	While these are playable, the extra frets can make playing chords and navigating the fretboard significantly more challenging for [[12edo]] chords and scales.		While these are playable, the extra frets can make playing chords and navigating the fretboard significantly more challenging for [[12edo]] chords and scales.

	More common is the "Sazocaster" tuning popularised by Australian band King Gizzard ~~and~~ the Lizard Wizard, which adds quarter tones between approximately half the regular frets. Multiple guitar makers, including [https://eastwoodguitars.com/products/sg2c-flying-banana-mt Eastwood] and [https://salamuzik.com/collections/guitar/products/professional-microtonal-electric-classical-guitar-with-equalizer-kg-5 Sala Muzik] have produced Sazocaster variations.		More common is the "Sazocaster" tuning popularised by Australian band [[King Gizzard & the Lizard Wizard]], which adds quarter tones between approximately half the regular frets. Multiple guitar makers, including [https://eastwoodguitars.com/products/sg2c-flying-banana-mt Eastwood] and [https://salamuzik.com/collections/guitar/products/professional-microtonal-electric-classical-guitar-with-equalizer-kg-5 Sala Muzik] have produced Sazocaster variations.

	[[File:Eastwood-guitars-phase-4-mt-2307179.jpg\|500px]]		[[File:Eastwood-guitars-phase-4-mt-2307179.jpg\|500px]]

	It is also possible to create a guitar that has quartertones on all the lower frets, then switches to regular 12edo at some point on the neck to keep the upper notes easily acessible, as demonstrated by the band [[Angine de Poitrine]]. Guitars using this layout are available at [https://www.microtonalguitar.org/product-page/angine-de-poitrine-style-fixed-microtonal-electric-guitar-ap24 microtonalguitar.org]		It is also possible to create a guitar that has quartertones on all the lower frets, then switches to regular 12edo at some point on the neck to keep the upper notes easily acessible, as demonstrated by the band [[Angine de Poitrine]]. Guitars using this layout are available at [https://www.microtonalguitar.org/product-page/angine-de-poitrine-style-fixed-microtonal-electric-guitar-ap24 microtonalguitar.org] and doubleneck guitar/basses are available from [https://eastwoodguitars.com/products/eastwood-microtonal-doubleneck-electric-guitar-bass Eastwood].

	=== Harp, Harpsichord, and Piano ===		=== Harp, Harpsichord, and Piano ===

Dave Keenan: /* Stein–Zimmermann accidentals */ Increase width of sesquiflat now that it is Zimmermann's, not Couper's.

2026-04-30T13:14:41Z

Stein–Zimmermann accidentals: Increase width of sesquiflat now that it is Zimmermann's, not Couper's.

← Older revision		Revision as of 13:14, 30 April 2026
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	\| A "semiflat" or "half-flat" accidental, comprising a flat symbol mirrored horizontally so that the lobe is facing left.		\| A "semiflat" or "half-flat" accidental, comprising a flat symbol mirrored horizontally so that the lobe is facing left.
	\|-		\|-
	\| style="width: 40px;" \| [[File:HeQd3.svg\|~~36px~~\|center]]		\| style="width: 40px;" \| [[File:HeQd3.svg\|40px\|center]]
	\| A "flat and a half" or "sesquiflat" accidental, comprising a half-flat symbol and a regular flat symbol placed back to back.		\| A "flat and a half" or "sesquiflat" accidental, comprising a half-flat symbol and a regular flat symbol placed back to back.
	\|}		\|}
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	'''Pros:''' familiar, intuitive, and fairly easy to learn.		'''Pros:''' familiar, intuitive, and fairly easy to learn.

	'''Cons:''' can clutter a score easily (especially when used in microtonal key signatures), can get confusing when sight read at faster paces.		'''Cons:''' can clutter a score easily (especially when used in microtonal key signatures), can get confusing when sight read at faster paces.

	=== Persian quartertone accidentals ===		=== Persian quartertone accidentals ===

Yourmusic Productions: /* Instruments */ That didn't take long. Add sales link for AdP style partially quartertone fretted guitars.

2026-04-27T17:39:17Z

Instruments: That didn't take long. Add sales link for AdP style partially quartertone fretted guitars.

← Older revision		Revision as of 17:39, 27 April 2026
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	[[File:Eastwood-guitars-phase-4-mt-2307179.jpg\|500px]]		[[File:Eastwood-guitars-phase-4-mt-2307179.jpg\|500px]]

	It is also possible to create a guitar that has quartertones on all the lower frets, then switches to regular 12edo at some point on the neck to keep the upper notes easily acessible, as demonstrated by the band [[Angine de Poitrine]].		It is also possible to create a guitar that has quartertones on all the lower frets, then switches to regular 12edo at some point on the neck to keep the upper notes easily acessible, as demonstrated by the band [[Angine de Poitrine]]. Guitars using this layout are available at [https://www.microtonalguitar.org/product-page/angine-de-poitrine-style-fixed-microtonal-electric-guitar-ap24 microtonalguitar.org]

	=== Harp, Harpsichord, and Piano ===		=== Harp, Harpsichord, and Piano ===

Yourmusic Productions: /* Instruments */ replace dead links for guitar sales with currently active ones, add another method of partial 24edo that I suspect will soon be copied and spread more widely.

2026-04-03T08:26:02Z

Instruments: replace dead links for guitar sales with currently active ones, add another method of partial 24edo that I suspect will soon be copied and spread more widely.

← Older revision		Revision as of 08:26, 3 April 2026
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	Adam Hoey Xen ([https://www.youtube.com/@adamhoeyxen2199/videos on YouTube]) has used a "neutral thirds tuning" of F#-At-C#-Et-G#-Bt on a standard guitar to play in quartertones.		Adam Hoey Xen ([https://www.youtube.com/@adamhoeyxen2199/videos on YouTube]) has used a "neutral thirds tuning" of F#-At-C#-Et-G#-Bt on a standard guitar to play in quartertones.

	Guitars with 24 frets per octave are also an option ~~and some guitar makers~~, ~~such as Ron Sword's~~ [~~http~~://~~metatonalmusic~~.com ~~Metatonal Music~~]~~{{dead link}},~~ can ~~make~~ custom instruments and ~~perform re-fretting, with an example below~~:		Guitars with 24 frets per octave are also an option, although only [https://eastwoodguitars.com/products/hi-flier-edo-24-electric-microtonal-guitar Eastwood] offer this as a standard production model at the time of writing. Other luthiers you can commission custom microtonal instruments from, including 24edo ones, include [https://www.etsy.com/uk/listing/1154683769 JLJ instruments] and [https://meantoneguitar.com Meantone Guitar].

	[[File:24edo_guitar.jpg\|500px]]		[[File:24edo_guitar.jpg\|500px]]
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	While these are playable, the extra frets can make playing chords and navigating the fretboard significantly more challenging for [[12edo]] chords and scales.		While these are playable, the extra frets can make playing chords and navigating the fretboard significantly more challenging for [[12edo]] chords and scales.

	More common is the "Sazocaster" tuning popularised by Australian band King Gizzard and the Lizard Wizard, which adds quarter tones between approximately half the regular frets. Multiple guitar makers, including [https://eastwoodguitars.com/products/hi-~~flyer~~-~~phase-iv~~-mt Eastwood] and [https://~~www~~.~~revelationguitars.co.uk~~/guitar/~~marrakesh~~-~~quarter~~-~~tone Revelation~~]~~{{dead link}},~~ have produced Sazocaster variations.		More common is the "Sazocaster" tuning popularised by Australian band King Gizzard and the Lizard Wizard, which adds quarter tones between approximately half the regular frets. Multiple guitar makers, including [https://eastwoodguitars.com/products/sg2c-flying-banana-mt Eastwood] and [https://salamuzik.com/collections/guitar/products/professional-microtonal-electric-classical-guitar-with-equalizer-kg-5 Sala Muzik] have produced Sazocaster variations.

	[[File:Eastwood-guitars-phase-4-mt-2307179.jpg\|500px]]		[[File:Eastwood-guitars-phase-4-mt-2307179.jpg\|500px]]

			It is also possible to create a guitar that has quartertones on all the lower frets, then switches to regular 12edo at some point on the neck to keep the upper notes easily acessible, as demonstrated by the band [[Angine de Poitrine]].

	=== Harp, Harpsichord, and Piano ===		=== Harp, Harpsichord, and Piano ===