62edo - Revision history

FloraC: /* Notation */ SZG notation

2026-05-12T13:54:44Z

Notation: SZG notation

← Older revision		Revision as of 13:54, 12 May 2026
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	== Notation ==		== Notation ==
	=== ~~Ups~~ and downs notation ===		=== Stein–Zimmermann–Gould notation ===
	62edo 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 and flats combined with quartertone accidentals and arrows:
			{{Sharpness-sharp4-szg}}

			=== Kite's ups and downs notation ===
			62edo 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.
	{{Sharpness-sharp4a}}		{{Sharpness-sharp4a}}
	~~[[Alternative symbols for ups and downs notation]] uses sharps and flats and quarter-tone accidentals combined with arrows, borrowed from extended [[Helmholtz–Ellis notation]]:~~
	~~{{Sharpness-sharp4}}~~
	=== Sagittal notation ===		=== Sagittal notation ===
	This notation uses the same sagittal sequence as ~~EDOs~~ [[69edo#Sagittal notation\|69]] and [[76edo#Sagittal notation\|76]], and is a superset of the notation for [[31edo#Sagittal notation\|~~31-EDO~~]].		This notation uses the same sagittal sequence as edos [[69edo #Sagittal notation\|69]] and [[76edo #Sagittal notation\|76]], and is a superset of the notation for [[31edo #Sagittal notation\|31edo]].

	==== Evo flavor ====		==== Evo flavor ====
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	</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.

	=== Armodue notation ===		=== Armodue notation ===
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	{\| class="wikitable center-all right-3 left-5 mw-collapsible mw-collapsed"		{\| class="wikitable center-all right-3 left-5 mw-collapsible mw-collapsed"
	\|-		\|-
	! colspan="2" \| &#~~35;~~		! colspan="2" \| #
	! Cents		! Cents
	! Armodue notation		! Armodue notation

Lucius Chiaraviglio: /* Music */ Add Bryan Deister's ''62edo prelude'' (2026)

2026-03-22T19:32:05Z

Music: Add Bryan Deister's ''62edo prelude'' (2026)

← Older revision		Revision as of 19:32, 22 March 2026
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	* [https://www.youtube.com/shorts/UerD0NqBbng ''microtonal improvisation in 62edo''] (2025)		* [https://www.youtube.com/shorts/UerD0NqBbng ''microtonal improvisation in 62edo''] (2025)
	* [https://www.youtube.com/watch?v=ujaUA-uwDvE ''62edo improv''] (2025)		* [https://www.youtube.com/watch?v=ujaUA-uwDvE ''62edo improv''] (2025)
			* [https://www.youtube.com/watch?v=3_mwEylLEwU&list=WL&index=338 ''62edo prelude''] (2026)

FloraC: Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

2026-03-13T13:32:50Z

Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

← Older revision		Revision as of 13:32, 13 March 2026
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	\| [[Gallium]]		\| [[Gallium]]
	\|}		\|}
	<nowiki/>* [[Normal ~~lists~~\|Octave-reduced form]], reduced to the first half-octave, and [[~~Normal lists~~\|minimal form]] in parentheses if distinct		<nowiki/>* [[Normal forms #Equave-reduced-generator form\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form\|minimal form]] in parentheses if distinct

	== Octave stretch or compression ==		== Octave stretch or compression ==

Hotcrystal0: why E

2026-01-23T18:12:43Z

why E

← Older revision		Revision as of 18:12, 23 January 2026
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	\| 600.00		\| 600.00
	\| 17/12, 24/17		\| 17/12, 24/17
	\| {{UDnote\|step=10}}		\| {{UDnote\|step=31}}
	\|-		\|-
	\| 32		\| 32

Lucius Chiaraviglio: /* Music */ Add Bryan Deister's ''62edo improv'' (2025)

2025-10-10T22:38:54Z

Music: Add Bryan Deister's ''62edo improv'' (2025)

← Older revision		Revision as of 22:38, 10 October 2025
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	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/shorts/UerD0NqBbng ''microtonal improvisation in 62edo''] (2025)		* [https://www.youtube.com/shorts/UerD0NqBbng ''microtonal improvisation in 62edo''] (2025)
			* [https://www.youtube.com/watch?v=ujaUA-uwDvE ''62edo improv''] (2025)

Lériendil: /* Theory */

2025-09-21T02:55:38Z

Theory

← Older revision		Revision as of 02:55, 21 September 2025
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	It provides the [[optimal patent val]] for [[gallium]], [[semivalentine]] and [[hemimeantone]] temperaments.		It provides the [[optimal patent val]] for [[gallium]], [[semivalentine]] and [[hemimeantone]] temperaments.

	Using the 35\62 generator, which leads to the {{val\| 62 97 143 173 }} val, 62edo is also an excellent tuning for septimal [[mavila]] temperament; alternatively {{val\| 62 97 143 172 }} [[support]]s [[hornbostel]].		Using the 35\62 generator, which leads to the {{val\| 62 97 143 173 }} val, 62edo is also an excellent tuning for [[mavling]], a septimal extension of [[mavila]] temperament; alternatively {{val\| 62 97 143 172 }} [[support]]s [[hornbostel]].

	=== Odd harmonics ===		=== Odd harmonics ===

FloraC at 10:56, 19 September 2025

2025-09-19T10:56:50Z

← Older revision		Revision as of 10:56, 19 September 2025
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	== Octave stretch or compression ==		== Octave stretch or compression ==
	62edo tunes most simple [[prime]]s ~~too~~ flat. [[Octave stretching\|Stretching]] ~~the octave~~ of 62edo by the right amount improves its approximations of [[JI]].		62edo tunes most simple [[prime]]s flat. [[Octave stretching\|Stretching the octave]] of 62edo by the right amount improves its approximations of [[JI]].

	Some tunings of ~~58edo~~ which do this include [[ed7\|174ed7]] and [[zpi\|314zpi]].		Some tunings of 62edo which do this include [[ed7\|174ed7]] and [[zpi\|314zpi]].

	== Instruments ==		== Instruments ==

BudjarnLambeth: Stretch (temporary until full version can be done)

2025-09-19T05:49:28Z

Stretch (temporary until full version can be done)

← Older revision		Revision as of 05:49, 19 September 2025
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	\|}		\|}
	<nowiki/>* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct		<nowiki/>* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct

			== Octave stretch or compression ==
			62edo tunes most simple [[prime]]s too flat. [[Octave stretching\|Stretching]] the octave of 62edo by the right amount improves its approximations of [[JI]].

			Some tunings of 58edo which do this include [[ed7\|174ed7]] and [[zpi\|314zpi]].

	== Instruments ==		== Instruments ==

BudjarnLambeth: Remove the zeta peak table that had no explanation or context

2025-09-17T01:58:59Z

Remove the zeta peak table that had no explanation or context

@@ Line 786: / Line 786: @@
+|
 |}
 == Regular temperament properties ==

Lucius Chiaraviglio: /* Instruments */ Insert music section after this, starting with Bryan Deister's ''microtonal improvisation in 62edo'' (2025)

2025-07-22T20:06:12Z

Instruments: Insert music section after this, starting with Bryan Deister's ''microtonal improvisation in 62edo'' (2025)

← Older revision		Revision as of 20:06, 22 July 2025
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	'''Skip fretting system 62 9 11''' is another 62edo skip fretting system. The 5th is on the 5th string. The major 3rd is on the 2nd string, 1st fret.		'''Skip fretting system 62 9 11''' is another 62edo skip fretting system. The 5th is on the 5th string. The major 3rd is on the 2nd string, 1st fret.
	{{todo\|add illustration\|text=Base it off of the diagram from [[User:MisterShafXen/Skip fretting system 62 9 11]]}}		{{todo\|add illustration\|text=Base it off of the diagram from [[User:MisterShafXen/Skip fretting system 62 9 11]]}}

			== Music ==
			; [[Bryan Deister]]
			* [https://www.youtube.com/shorts/UerD0NqBbng ''microtonal improvisation in 62edo''] (2025)