50edo - Revision history

Lucius Chiaraviglio: /* Music */ Add Bryan Deister's ''Fantasy in 50edo'' (2026); convert 5 microtonal covers to Modern Renderings format

2026-06-03T04:55:48Z

Music: Add Bryan Deister's ''Fantasy in 50edo'' (2026); convert 5 microtonal covers to Modern Renderings format

← Older revision		Revision as of 04:55, 3 June 2026
Line 862:		Line 862:
	* [https://www.youtube.com/watch?v=M3wQu4UF1pg "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024, organ sound rendering)		* [https://www.youtube.com/watch?v=M3wQu4UF1pg "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024, organ sound rendering)
	* [https://www.youtube.com/watch?v=qjb9DDM32Ic "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742-1749) — rendered by Claudi Meneghin (2025, harpsichord sound rendering)		* [https://www.youtube.com/watch?v=qjb9DDM32Ic "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742-1749) — rendered by Claudi Meneghin (2025, harpsichord sound rendering)

			; {{W\|David Belasco}}
			* [https://www.youtube.com/shorts/WcExL9W2Gyc ''The Prettiest Little Song Of All''] (1908) - microtonal cover in 50edo by [[Bryan Deister]] (2025)

	; {{W\|Nicolaus Bruhns}}		; {{W\|Nicolaus Bruhns}}
Line 877:		Line 880:
	; {{W\|Gabriel Fauré}}		; {{W\|Gabriel Fauré}}
	* [https://www.youtube.com/watch?v=7djfrUlw2ck ''Pavane'', op. 50] (1887) – arranged for harpsichord and rendered by Claudi Meneghin (2020)		* [https://www.youtube.com/watch?v=7djfrUlw2ck ''Pavane'', op. 50] (1887) – arranged for harpsichord and rendered by Claudi Meneghin (2020)

			; {{W\|Toby Fox}}
			* [https://www.youtube.com/shorts/ynz5XvJOHiE ''Piano that may not be played that well''] via ''{{W\|Deltarune}} Chapters 3 + 4'' (2025) (microtonal cover in 50edo) by [[Bryan Deister]] (2025)

			; {{W\|Iyowa}}
			* [https://www.youtube.com/shorts/L6jF5_HEGkM ''Heat Abnormal''] (2024) - microtonal cover in 50edo by [[Bryan Deister]] (2025)

	; {{W\|Akira Kamiya}}		; {{W\|Akira Kamiya}}
	* [https://www.youtube.com/watch?v=5UnPAhRqmb4 ''funfunfun ta yo''] (2007) – rendered by MortisTheneRd (2024)		* [https://www.youtube.com/watch?v=5UnPAhRqmb4 ''funfunfun ta yo''] (2007) – rendered by MortisTheneRd (2024)

			; {{W\|Laufey_(singer)\|Laufey}}
			* [https://www.youtube.com/shorts/J34qt45jZW4 ''Snow White''] (2025) - microtonal cover in 50edo by [[Bryan Deister]] (2025)

	; {{W\|Wolfgang Amadeus Mozart}}		; {{W\|Wolfgang Amadeus Mozart}}
	* [https://www.youtube.com/watch?v=YK_kFs4PL2g&list=WL&index=347 ''Gigue KV 574 («Leipziger Gigue»)''] (1789) – rendered by Claudi Meneghin (2026)		* [https://www.youtube.com/watch?v=YK_kFs4PL2g&list=WL&index=347 ''Gigue KV 574 («Leipziger Gigue»)''] (1789) – rendered by Claudi Meneghin (2026)

			; {{W\|Akiko Shikata}}
			* [https://www.youtube.com/shorts/eXGcC52YMh8 ''Mother''] via ''{{W\|Umineko_When_They_Cry\|Umineko no Naku Koro ni}}'' (2007) - microtonal cover in 50edo by [[Bryan Deister]] (2026)

	=== 21st century===		=== 21st century===
	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/shorts/zCsc5n6dr_I ''microtonal improv in 50edo''] (2024)		* [https://www.youtube.com/shorts/zCsc5n6dr_I ''microtonal improv in 50edo''] (2024)
	* [https://www.youtube.com/shorts/ynz5XvJOHiE ''Piano that may not be played that well - Deltarune (microtonal cover in 50edo)''] (2025)
	* [https://www.youtube.com/shorts/J34qt45jZW4 ''Snow White - Laufey (microtonal cover in 50edo)''] (2025)
	* [https://www.youtube.com/shorts/dAyMY-14yZo ''50edo improv''] (2025-10-13)		* [https://www.youtube.com/shorts/dAyMY-14yZo ''50edo improv''] (2025-10-13)
	* [https://www.youtube.com/shorts/L6jF5_HEGkM ''Heat Abnormal - Iyowa (microtonal cover in 50edo)''] (2025)
	* [https://www.youtube.com/shorts/WcExL9W2Gyc ''The Prettiest Little Song Of All - Belasco (microtonal cover in 50edo)''] (2025)
	* [https://www.youtube.com/shorts/eXGcC52YMh8 ''Mother - Umineko (microtonal cover in 50edo)''] (2026)
	* [https://www.youtube.com/shorts/DIiLORDPfUI ''50edo improv''] (2026-05-25)		* [https://www.youtube.com/shorts/DIiLORDPfUI ''50edo improv''] (2026-05-25)
			* [https://www.youtube.com/watch?v=LqzPpl01WXc ''Fantasy in 50edo''] (2026)

	; [[Francium]]		; [[Francium]]

Lucius Chiaraviglio: /* Music */ Claudi Meneghin's ''La Petite Poule Grise - Fugue'' (2014, uploaded 2019): fix date

2026-05-30T01:19:56Z

Music: Claudi Meneghin's ''La Petite Poule Grise - Fugue'' (2014, uploaded 2019): fix date

← Older revision		Revision as of 01:19, 30 May 2026
Line 899:		Line 899:

	; [[Claudi Meneghin]]		; [[Claudi Meneghin]]
			* [https://www.youtube.com/watch?v=Zh2jWoIXAf8 ''La Petite Poule Grise - Fugue''] (2014, uploaded 2019)
	* [https://www.youtube.com/shorts/IhKVro5YEcA ''Canon on «Twinkle Twinkle Little Star» in 50-edo, for Organ''] (≤2014, restored and re-hosted 2025)		* [https://www.youtube.com/shorts/IhKVro5YEcA ''Canon on «Twinkle Twinkle Little Star» in 50-edo, for Organ''] (≤2014, restored and re-hosted 2025)
	* [https://www.youtube.com/watch?v=TRXy0FJOKIA ''Fugue on the Dragnet theme''] (2014)		* [https://www.youtube.com/watch?v=TRXy0FJOKIA ''Fugue on the Dragnet theme''] (2014)
	* [https://www.youtube.com/watch?v=wcTVED9zFrU ''Blue Fugue for Organ''] (2018)		* [https://www.youtube.com/watch?v=wcTVED9zFrU ''Blue Fugue for Organ''] (2018)
	* [https://www.youtube.com/watch?v=Zh2jWoIXAf8 ''La Petite Poule Grise - Fugue''] (2019)
	* [https://www.youtube.com/watch?v=28x3vqw9kDI ''Happy Birthday Canon'', 6-in-1 Canon in 50edo] (2019)		* [https://www.youtube.com/watch?v=28x3vqw9kDI ''Happy Birthday Canon'', 6-in-1 Canon in 50edo] (2019)
	* [https://www.youtube.com/watch?v=szUpO3FAOes ''Fantasia Catalana''] (2020)		* [https://www.youtube.com/watch?v=szUpO3FAOes ''Fantasia Catalana''] (2020)

Overthink: /* Instruments */ - extra newline; punctuation

2026-05-29T04:07:16Z

Instruments: - extra newline; punctuation

← Older revision		Revision as of 04:07, 29 May 2026
Line 849:		Line 849:
	; Lumatone		; Lumatone

	See [[Lumatone mapping for 50edo]]		See [[Lumatone mapping for 50edo]].


	; Piano		; Piano

Lucius Chiaraviglio: /* 21st century */ Claudi Meneghin's ''Fugue on the French Lullaby «La Petite Poule Grise»'' (2026): Add organ rendition

2026-05-29T03:53:11Z

21st century: Claudi Meneghin's ''Fugue on the French Lullaby «La Petite Poule Grise»'' (2026): Add organ rendition

← Older revision		Revision as of 03:53, 29 May 2026
Line 916:		Line 916:
	** [https://www.youtube.com/shorts/qsuM1sA2-A0 <nowiki>harpsichord rendition</nowiki>] (2024)		** [https://www.youtube.com/shorts/qsuM1sA2-A0 <nowiki>harpsichord rendition</nowiki>] (2024)
	* [https://www.youtube.com/shorts/2x5atFuN6WA ''Baroque Blues - 4-Part Fugue for Baroque Consort''] (2026)		* [https://www.youtube.com/shorts/2x5atFuN6WA ''Baroque Blues - 4-Part Fugue for Baroque Consort''] (2026)
	* [https://www.youtube.com/watch?v=RrsZ-bzf1mE ~~''Fugue on the French Lullaby «La Petite Poule Grise»''~~] ~~(2026)~~		* ''Fugue on the French Lullaby «La Petite Poule Grise»'' (2026)
			** [https://www.youtube.com/watch?v=RrsZ-bzf1mE Baroque ensemble rendition]
			** [https://www.youtube.com/watch?v=wgsWzn_vfIM organ rendition]

	; [[Cam Taylor]]		; [[Cam Taylor]]

Lucius Chiaraviglio: /* Theory */ Almost consistent all the way up to the no-21s 25-odd-limit (except for 11/9 and 18/11)

2026-05-26T16:51:15Z

Theory: Almost consistent all the way up to the no-21s 25-odd-limit (except for 11/9 and 18/11)

← Older revision		Revision as of 16:51, 26 May 2026
Line 3:		Line 3:

	== Theory ==		== Theory ==
	As an equal temperament, 50et [[tempering out\|tempers out]] [[81/80]] in the [[5-limit]], making it a [[meantone]] system, and in that capacity has historically drawn some notice; it is a somewhat sharp approximation of [[2/7-comma meantone]] (and is almost exactly 5/18-comma meantone). In [http://lit.gfax.ch/Harmonics%202nd%20Edition%20%28Robert%20Smith%29.pdf "Harmonics or the Philosophy of Musical Sounds"] (1759) by Robert Smith, a musical temperament is described where the octave is divided into 50 equal parts – 50edo, in one word. Later, {{w\|W. S. B. Woolhouse}} noted it was fairly close to the [[Target_tunings\|least squares]] tuning for 5-limit meantone. 50edo, however, is especially interesting from a higher-limit point of view. While [[31edo]] extends meantone with a [[7/4]] which is nearly pure, 50 has a flat 7/4 but both [[11/8]] and [[13/8]] are nearly pure. It is also the highest edo where the mapping of [[9/8]] and [[10/9]] to the same interval is [[consistent]], with two stacked fifths falling almost exactly 3/7-syntonic-comma sharp of 10/9 and 4/7-comma flat of 9/8. It also ~~maps all~~ [[19-odd-limit]] ~~intervals consistently~~, ~~except for~~ [[11/9]] and [[18/11]].		As an equal temperament, 50et [[tempering out\|tempers out]] [[81/80]] in the [[5-limit]], making it a [[meantone]] system, and in that capacity has historically drawn some notice; it is a somewhat sharp approximation of [[2/7-comma meantone]] (and is almost exactly 5/18-comma meantone). In [http://lit.gfax.ch/Harmonics%202nd%20Edition%20%28Robert%20Smith%29.pdf "Harmonics or the Philosophy of Musical Sounds"] (1759) by Robert Smith, a musical temperament is described where the octave is divided into 50 equal parts – 50edo, in one word. Later, {{w\|W. S. B. Woolhouse}} noted it was fairly close to the [[Target_tunings\|least squares]] tuning for 5-limit meantone. 50edo, however, is especially interesting from a higher-limit point of view. While [[31edo]] extends meantone with a [[7/4]] which is nearly pure, 50 has a flat 7/4 but both [[11/8]] and [[13/8]] are nearly pure. It is also the highest edo where the mapping of [[9/8]] and [[10/9]] to the same interval is [[consistent]], with two stacked fifths falling almost exactly 3/7-syntonic-comma sharp of 10/9 and 4/7-comma flat of 9/8. It is also almost consistent to the no-21s [[25-odd-limit]], only barely missing consistent mapping of [[11/9]] and [[18/11]].

	50edo is also quite strong in the realm of tertian harmony for a meantone system, as the errors on [[7/6]], [[6/5]], [[5/4]], and [[9/7]] are all balanced to be roughly half as flat as the fifth, meaning that this set of thirds taken as a whole is minimally out-of-tune given the damage induced by meantone. Though it fails to approximate [[11/9]] well by virtue of not having a perfect hemififth, it inherits the excellent [[16/13]] from [[10edo]] and additionally has a 1.2{{c}} flat [[13/11]], providing even more qualities of roughly just thirds alongside their more complex [[fifth complement]]s.		50edo is also quite strong in the realm of tertian harmony for a meantone system, as the errors on [[7/6]], [[6/5]], [[5/4]], and [[9/7]] are all balanced to be roughly half as flat as the fifth, meaning that this set of thirds taken as a whole is minimally out-of-tune given the damage induced by meantone. Though it fails to approximate [[11/9]] well by virtue of not having a perfect hemififth, it inherits the excellent [[16/13]] from [[10edo]] and additionally has a 1.2{{c}} flat [[13/11]], providing even more qualities of roughly just thirds alongside their more complex [[fifth complement]]s.

Lucius Chiaraviglio: /* 21st century */ Add Bryan Deister's ''50edo improv'' (2026-05-25) and put specific date on the previous ''50edo improv''

2026-05-26T05:41:10Z

21st century: Add Bryan Deister's ''50edo improv'' (2026-05-25) and put specific date on the previous ''50edo improv''

← Older revision		Revision as of 05:41, 26 May 2026
Line 890:		Line 890:
	* [https://www.youtube.com/shorts/ynz5XvJOHiE ''Piano that may not be played that well - Deltarune (microtonal cover in 50edo)''] (2025)		* [https://www.youtube.com/shorts/ynz5XvJOHiE ''Piano that may not be played that well - Deltarune (microtonal cover in 50edo)''] (2025)
	* [https://www.youtube.com/shorts/J34qt45jZW4 ''Snow White - Laufey (microtonal cover in 50edo)''] (2025)		* [https://www.youtube.com/shorts/J34qt45jZW4 ''Snow White - Laufey (microtonal cover in 50edo)''] (2025)
	* [https://www.youtube.com/shorts/dAyMY-14yZo ''50edo improv''] (2025)		* [https://www.youtube.com/shorts/dAyMY-14yZo ''50edo improv''] (2025-10-13)
	* [https://www.youtube.com/shorts/L6jF5_HEGkM ''Heat Abnormal - Iyowa (microtonal cover in 50edo)''] (2025)		* [https://www.youtube.com/shorts/L6jF5_HEGkM ''Heat Abnormal - Iyowa (microtonal cover in 50edo)''] (2025)
	* [https://www.youtube.com/shorts/WcExL9W2Gyc ''The Prettiest Little Song Of All - Belasco (microtonal cover in 50edo)''] (2025)		* [https://www.youtube.com/shorts/WcExL9W2Gyc ''The Prettiest Little Song Of All - Belasco (microtonal cover in 50edo)''] (2025)
	* [https://www.youtube.com/shorts/eXGcC52YMh8 ''Mother - Umineko (microtonal cover in 50edo)''] (2026)		* [https://www.youtube.com/shorts/eXGcC52YMh8 ''Mother - Umineko (microtonal cover in 50edo)''] (2026)
			* [https://www.youtube.com/shorts/DIiLORDPfUI ''50edo improv''] (2026-05-25)

	; [[Francium]]		; [[Francium]]

Lucius Chiaraviglio: /* Modern renderings */ Add John Bull's ''Fantasia «Ut Re Mi Fa Sol La»'' (late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.1 No.51'') – rendered by Claudi Meneghin (2026)

2026-05-23T03:13:04Z

Modern renderings: Add John Bull's ''Fantasia «Ut Re Mi Fa Sol La»'' (late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.1 No.51'') – rendered by Claudi Meneghin (2026)

← Older revision		Revision as of 03:13, 23 May 2026
Line 866:		Line 866:
	; {{W\|Nicolaus Bruhns}}		; {{W\|Nicolaus Bruhns}}
	* [https://www.youtube.com/watch?v=yrM50pvmD5c ''Prelude in E Minor "The Great"''] – rendered by Claudi Meneghin (2023)		* [https://www.youtube.com/watch?v=yrM50pvmD5c ''Prelude in E Minor "The Great"''] – rendered by Claudi Meneghin (2023)

			; {{W\|John Bull (composer)\|John Bull}}
			* [https://www.youtube.com/watch?v=6RewllRJ5rU ''Fantasia «Ut Re Mi Fa Sol La»''] (late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.1 No.51'') – rendered by Claudi Meneghin (2026)

	; {{w\|Frédéric Chopin}}		; {{w\|Frédéric Chopin}}

FloraC: /* Notation */ SZG notation

2026-05-12T13:29:40Z

Notation: SZG notation

← Older revision		Revision as of 13:29, 12 May 2026
Line 386:		Line 386:

	== Notation ==		== Notation ==
	=== ~~Ups~~ and downs notation ===		=== Stein–Zimmermann–Gould notation ===
			50edo can be notated with [[Stein–Zimmermann–Gould notation]]:
			{{Sharpness-sharp3-szg}}

			Here, a sharp raises by three steps, and a flat lowers by three steps, so arrows can be used to fill in the gap. If the arrows are taken to have their own layer of enharmonic spellings, some notes may be best spelled with double arrows.

			=== Kite's ups and downs notation ===
	Spoken as up, downsharp, sharp, upsharp, etc. Note that downsharp can be respelled as dup (double-up), and upflat as dud.		Spoken as up, downsharp, sharp, upsharp, etc. Note that downsharp can be respelled as dup (double-up), and upflat as dud.
	{{Ups and downs sharpness}}		{{Ups and downs sharpness}}

	~~Using [[Helmholtz–Ellis]] accidentals, 50edo can also be notated using [[Alternative symbols for ups and downs notation#Sharp-3\|alternative ups and downs]]:~~
	~~{{Sharpness-sharp3}}~~
	Here, a sharp raises by three steps, and a flat lowers by three steps, so arrows can be used to fill in the gap. If the arrows are taken to have their own layer of enharmonic spellings, some notes may be best spelled with double arrows.

	=== Sagittal notation ===		=== Sagittal notation ===
	This notation uses the same sagittal sequence as ~~EDOs~~ [[57edo#Sagittal notation\|57]], [[64edo#Sagittal notation\|64]], and [[71edo#Second-best fifth notation\|71b]].		This notation uses the same sagittal sequence as edos [[57edo #Sagittal notation\|57]], [[64edo #Sagittal notation\|64]], and [[71edo #Second-best fifth notation\|71b]].

	==== Evo flavor ====		==== Evo flavor ====
Line 417:		Line 419:
	</imagemap>		</imagemap>

	In the diagrams above, a sagittal symbol followed by an equals sign (=) means that the following comma is the symbol's [[Sagittal notation#Primary comma\|primary comma]] (the comma it ''exactly'' represents in JI), while an approximately equals sign (≈) means it is a secondary comma (a comma it ''approximately'' represents in JI). In both cases the symbol exactly represents the tempered version of the comma in this ~~EDO~~.		In the diagrams above, a sagittal symbol followed by an equals sign (=) means that the following comma is the symbol's [[Sagittal notation#Primary comma\|primary comma]] (the comma it ''exactly'' represents in JI), while an approximately equals sign (≈) means it is a secondary comma (a comma it ''approximately'' represents in JI). In both cases the symbol exactly represents the tempered version of the comma in this edo.

	== Approximation to JI ==		== Approximation to JI ==

Lucius Chiaraviglio: /* 21st century */ Add Claudi Meneghin's ''Fufue on the French Lullaby «La Petite Poule Grise»'' (2026)

2026-05-11T05:22:27Z

21st century: Add Claudi Meneghin's ''Fufue on the French Lullaby «La Petite Poule Grise»'' (2026)

← Older revision		Revision as of 05:22, 11 May 2026
Line 910:		Line 910:
	** [https://www.youtube.com/shorts/qsuM1sA2-A0 <nowiki>harpsichord rendition</nowiki>] (2024)		** [https://www.youtube.com/shorts/qsuM1sA2-A0 <nowiki>harpsichord rendition</nowiki>] (2024)
	* [https://www.youtube.com/shorts/2x5atFuN6WA ''Baroque Blues - 4-Part Fugue for Baroque Consort''] (2026)		* [https://www.youtube.com/shorts/2x5atFuN6WA ''Baroque Blues - 4-Part Fugue for Baroque Consort''] (2026)
			* [https://www.youtube.com/watch?v=RrsZ-bzf1mE ''Fugue on the French Lullaby «La Petite Poule Grise»''] (2026)

	; [[Cam Taylor]]		; [[Cam Taylor]]

Lucius Chiaraviglio: /* 21st century */ Add Claudi Meneghin's ''Baroque Blues - 4-Part Fugue for Baroque Consort'' (2026)

2026-05-08T04:28:49Z

21st century: Add Claudi Meneghin's ''Baroque Blues - 4-Part Fugue for Baroque Consort'' (2026)

← Older revision		Revision as of 04:28, 8 May 2026
Line 909:		Line 909:
	** [https://www.youtube.com/shorts/7_kROtWc4Sw <nowiki>organ rendition</nowiki>] (2023)		** [https://www.youtube.com/shorts/7_kROtWc4Sw <nowiki>organ rendition</nowiki>] (2023)
	** [https://www.youtube.com/shorts/qsuM1sA2-A0 <nowiki>harpsichord rendition</nowiki>] (2024)		** [https://www.youtube.com/shorts/qsuM1sA2-A0 <nowiki>harpsichord rendition</nowiki>] (2024)
			* [https://www.youtube.com/shorts/2x5atFuN6WA ''Baroque Blues - 4-Part Fugue for Baroque Consort''] (2026)

	; [[Cam Taylor]]		; [[Cam Taylor]]