55edo - Revision history

Lucius Chiaraviglio: /* Selected just intervals by error */ Add 55cf val — this one surprisingly improves consistency more than the other warts or combinations thereof

2026-06-05T18:43:25Z

Selected just intervals by error: Add 55cf val — this one surprisingly improves consistency more than the other warts or combinations thereof

← Older revision		Revision as of 18:43, 5 June 2026
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	{{Q-odd-limit intervals\|55.05\|apx=val\|header=none\|tag=none\|title=15-odd-limit intervals by 55d val mapping}}		{{Q-odd-limit intervals\|55.05\|apx=val\|header=none\|tag=none\|title=15-odd-limit intervals by 55d val mapping}}
	{{Q-odd-limit intervals\|54.95\|apx=val\|header=none\|tag=none\|title=15-odd-limit intervals by 55f val mapping}}		{{Q-odd-limit intervals\|54.95\|apx=val\|header=none\|tag=none\|title=15-odd-limit intervals by 55f val mapping}}
			{{Q-odd-limit intervals\|54.91\|apx=val\|header=none\|tag=none\|title=15-odd-limit intervals by 55cf val mapping}}

	== Regular temperament properties ==		== Regular temperament properties ==

Lucius Chiaraviglio: /* Modern renderings */ Add Moart's ''Gigue KV 574 («Leipziger Gigue»)'' (1789) – organ rendition by Claudi Meneghin (2026)

2026-05-24T03:43:08Z

Modern renderings: Add Moart's ''Gigue KV 574 («Leipziger Gigue»)'' (1789) – organ rendition by Claudi Meneghin (2026)

← Older revision		Revision as of 03:43, 24 May 2026
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	** [https://www.youtube.com/watch?v=p88MWgdio14&list=PLC6ZSKWKnVz0mOTLQkCUi9ydWGLpBP8gZ&index=2 Fortepiano rendition] (2025)		** [https://www.youtube.com/watch?v=p88MWgdio14&list=PLC6ZSKWKnVz0mOTLQkCUi9ydWGLpBP8gZ&index=2 Fortepiano rendition] (2025)
	** [https://www.youtube.com/shorts/7jt-jzziDBg Harpsichord rendition] (2026)		** [https://www.youtube.com/shorts/7jt-jzziDBg Harpsichord rendition] (2026)
			** [https://www.youtube.com/shorts/9J1DkS5UGzE Organ rendition] (2026)

	; {{W\|Keiichi Okabe}}		; {{W\|Keiichi Okabe}}

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)

2026-05-18T16:22:50Z

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 16:22, 18 May 2026
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	* [https://www.youtube.com/watch?v=OfOt3nOp-f8 ''Prelude in E Minor "The Great"''] – rendered by [[Claudi Meneghin]] (2023)		* [https://www.youtube.com/watch?v=OfOt3nOp-f8 ''Prelude in E Minor "The Great"''] – rendered by [[Claudi Meneghin]] (2023)
	* [https://www.youtube.com/watch?v=tuIPIhSxUPs ''Prelude in E Minor "The Little"''] – rendered by Claudi Meneghin (2024)		* [https://www.youtube.com/watch?v=tuIPIhSxUPs ''Prelude in E Minor "The Little"''] – rendered by Claudi Meneghin (2024)

			; {{W\|John Bull (composer)\|John Bull}}
			* [https://www.youtube.com/watch?v=I2d-540RuoM ''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\|Louis Couperin}}		; {{W\|Louis Couperin}}

Fitzgerald Lee: /* Selected just intervals by error */added 55f interval mappings

2026-05-17T03:43:02Z

Selected just intervals by error: added 55f interval mappings

← Older revision		Revision as of 03:43, 17 May 2026
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	{{Q-odd-limit intervals\|55}}		{{Q-odd-limit intervals\|55}}
	{{Q-odd-limit intervals\|55.05\|apx=val\|header=none\|tag=none\|title=15-odd-limit intervals by 55d val mapping}}		{{Q-odd-limit intervals\|55.05\|apx=val\|header=none\|tag=none\|title=15-odd-limit intervals by 55d val mapping}}
			{{Q-odd-limit intervals\|54.95\|apx=val\|header=none\|tag=none\|title=15-odd-limit intervals by 55f val mapping}}

	== Regular temperament properties ==		== Regular temperament properties ==

FloraC: /* Notation */ improve description

2026-05-12T14:17:00Z

Notation: improve description

← Older revision		Revision as of 14:17, 12 May 2026
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	== Notation ==		== Notation ==
	=== Stein–Zimmermann–Gould notation ===		=== Stein–Zimmermann–Gould notation ===
	[[Stein–Zimmermann–Gould notation]] uses sharps, flats~~, half-~~ and ~~sesquisharps, and half- and sesquiflats with~~ arrows:		[[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows:
	{{Sharpness-sharp4-szg}}		{{Sharpness-sharp4-szg}}

FloraC: /* Notation */ SZG notation

2026-05-12T13:47:16Z

Notation: SZG notation

← Older revision		Revision as of 13:47, 12 May 2026
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	== Notation ==		== Notation ==
	=== ~~Ups~~ and downs notation ===		=== Stein–Zimmermann–Gould notation ===
	55edo 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, flats, half- and sesquisharps, and half- and sesquiflats with arrows:
			{{Sharpness-sharp4-szg}}

			=== Kite's ups and downs notation ===
			55edo 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}}

	[[Alternative symbols for ups and downs notation]] uses sharps, flats, half- and sesquisharps, and half- and sesquiflats with arrows, borrowed from extended [[Helmholtz–Ellis notation]] and [[24edo #Stein–Zimmermann accidentals\|Stein-Zimmerman accidental set]]:
	~~{{Sharpness-sharp4}}~~

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

FloraC: /* Music */ fixes

2026-05-12T13:45:42Z

Music: fixes

← Older revision		Revision as of 13:45, 12 May 2026
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	* [https://www.youtube.com/watch?v=tuIPIhSxUPs ''Prelude in E Minor "The Little"''] – rendered by Claudi Meneghin (2024)		* [https://www.youtube.com/watch?v=tuIPIhSxUPs ''Prelude in E Minor "The Little"''] – rendered by Claudi Meneghin (2024)

	; {W\|Louis Couperin}}		; {{W\|Louis Couperin}}
	* [https://www.youtube.com/shorts/bcgY3k-6rao ''~~«La Piémontoise»~~''] (1658?) – rendered by Claudi Meneghin (2026)		* [https://www.youtube.com/shorts/bcgY3k-6rao ''La Piémontoise''] (1658?) – rendered by Claudi Meneghin (2026)

	; {{W\|Georg Frideric Handel}}		; {{W\|Georg Frideric Handel}}
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	; {{W\|Scott Joplin}}		; {{W\|Scott Joplin}}
	* ''Maple Leaf Rag'' (1899) – arranged for harpsichord and rendered by [[Claudi Meneghin]] ([https://www.youtube.com/watch?v=GbhpuoIJgxk 2024 version]; [https://www.youtube.com/shorts/3Y9y9I6q1as 2026 version])		* ''Maple Leaf Rag'' (1899) – arranged for harpsichord and rendered by [[Claudi Meneghin]] ([https://www.youtube.com/watch?v=GbhpuoIJgxk 2024 version]; [https://www.youtube.com/shorts/3Y9y9I6q1as 2026 version])

			; {{W\|Mladen Milićević}}
			* [https://www.youtube.com/shorts/1BhIK0s2-vs "The Room" from ''The Room''] (2003) – covered by [[Bryan Deister]] (2026)

	; {{W\|Wolfgang Amadeus Mozart}}		; {{W\|Wolfgang Amadeus Mozart}}
	* [https://www.youtube.com/watch?v=C_AML6XW-2g ''Rondo alla Turca'' from the Piano Sonata No. 11, KV 331] (1778) – rendered by Francium (2023)		* [https://www.youtube.com/watch?v=C_AML6XW-2g ''Rondo alla Turca'' from the Piano Sonata No. 11, K. 331] (1778) – rendered by Francium (2023)
	* [https://www.youtube.com/watch?v=XgRksdk6zyQ ''Fugue in G minor'', KV 401] (1782) – rendered by Francium (2023)		* [https://www.youtube.com/watch?v=XgRksdk6zyQ ''Fugue in G minor'', K. 401] (1782) – rendered by Francium (2023)
	* [http://www.seraph.it/dep/int/AdagioKV540.mp3 ''Adagio in B minor'', KV 540] (1788) – rendered by Carlo Serafini (2011) ([http://www.seraph.it/blog_files/706c4662272db7703def4d57edfcb955-119.html blog entry])		* [http://www.seraph.it/dep/int/AdagioKV540.mp3 ''Adagio in B minor'', K. 540] (1788) – rendered by Carlo Serafini (2011) ([http://www.seraph.it/blog_files/706c4662272db7703def4d57edfcb955-119.html blog entry])
	* [https://www.youtube.com/watch?v=pFjJCj2MBTM ''Allegro'' from the Piano Sonata No. 16, KV 545] (1788) – rendered by Francium (2023)		* [https://www.youtube.com/watch?v=pFjJCj2MBTM ''Allegro'' from the Piano Sonata No. 16, K. 545] (1788) – rendered by Francium (2023)
	* ''~~Mozart's~~ Gigue ~~KV 574~~'' – rendered by [[Claudi Meneghin]]		* ''Kleine Gigue in G'', K. 574 (1789) – rendered by [[Claudi Meneghin]]
	** [https://www.youtube.com/watch?v=p88MWgdio14&list=PLC6ZSKWKnVz0mOTLQkCUi9ydWGLpBP8gZ&index=2 Fortepiano rendition] (2025)		** [https://www.youtube.com/watch?v=p88MWgdio14&list=PLC6ZSKWKnVz0mOTLQkCUi9ydWGLpBP8gZ&index=2 Fortepiano rendition] (2025)
	** [https://www.youtube.com/shorts/7jt-jzziDBg Harpsichord rendition] (2026)		** [https://www.youtube.com/shorts/7jt-jzziDBg Harpsichord rendition] (2026)
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	* [https://www.youtube.com/watch?v=kVmToKkZU88 ''Waltz in 55edo''] (2025)		* [https://www.youtube.com/watch?v=kVmToKkZU88 ''Waltz in 55edo''] (2025)
	* [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025)		* [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025)
	* [https://www.youtube.com/shorts/1BhIK0s2-vs ''The Room - Mladen Milićević (microtonal cover in 55edo)''] (2026)

	; [[James Kukula]]		; [[James Kukula]]

Lucius Chiaraviglio: /* 21st century */ Fix formatting

2026-05-03T16:12:59Z

21st century: Fix formatting

← Older revision		Revision as of 16:12, 3 May 2026
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	* [https://www.youtube.com/watch?v=kVmToKkZU88 ''Waltz in 55edo''] (2025)		* [https://www.youtube.com/watch?v=kVmToKkZU88 ''Waltz in 55edo''] (2025)
	* [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025)		* [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025)
	* [https://www.youtube.com/shorts/1BhIK0s2-vs The Room - Mladen Milićević (microtonal cover in 55edo)] (2026)		* [https://www.youtube.com/shorts/1BhIK0s2-vs ''The Room - Mladen Milićević (microtonal cover in 55edo)''] (2026)

	; [[James Kukula]]		; [[James Kukula]]

Lucius Chiaraviglio: /* 21st century */ Add Bryan Deister's The Room - Mladen Milićević (microtonal cover in 55edo) (2026)

2026-05-03T16:12:31Z

21st century: Add Bryan Deister's The Room - Mladen Milićević (microtonal cover in 55edo) (2026)

← Older revision		Revision as of 16:12, 3 May 2026
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	* [https://www.youtube.com/watch?v=kVmToKkZU88 ''Waltz in 55edo''] (2025)		* [https://www.youtube.com/watch?v=kVmToKkZU88 ''Waltz in 55edo''] (2025)
	* [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025)		* [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025)
			* [https://www.youtube.com/shorts/1BhIK0s2-vs The Room - Mladen Milićević (microtonal cover in 55edo)] (2026)

	; [[James Kukula]]		; [[James Kukula]]

Lucius Chiaraviglio: /* Modern renderings */ Add Louis Couperin's ''«La Piémontoise»'' (1658?) – rendered by Claudi Meneghin (2026)

2026-04-19T02:30:51Z

Modern renderings: Add Louis Couperin's ''«La Piémontoise»'' (1658?) – rendered by Claudi Meneghin (2026)

← Older revision		Revision as of 02:30, 19 April 2026
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	* [https://www.youtube.com/watch?v=OfOt3nOp-f8 ''Prelude in E Minor "The Great"''] – rendered by [[Claudi Meneghin]] (2023)		* [https://www.youtube.com/watch?v=OfOt3nOp-f8 ''Prelude in E Minor "The Great"''] – rendered by [[Claudi Meneghin]] (2023)
	* [https://www.youtube.com/watch?v=tuIPIhSxUPs ''Prelude in E Minor "The Little"''] – rendered by Claudi Meneghin (2024)		* [https://www.youtube.com/watch?v=tuIPIhSxUPs ''Prelude in E Minor "The Little"''] – rendered by Claudi Meneghin (2024)

			; {W\|Louis Couperin}}
			* [https://www.youtube.com/shorts/bcgY3k-6rao ''«La Piémontoise»''] (1658?) – rendered by Claudi Meneghin (2026)

	; {{W\|Georg Frideric Handel}}		; {{W\|Georg Frideric Handel}}