58edo - Revision history

FloraC: /* Regular temperament properties */ + gravity & extensions

2026-05-26T07:42:36Z

Regular temperament properties: + gravity & extensions

← Older revision		Revision as of 07:42, 26 May 2026
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	\| 21/16		\| 21/16
	\| [[Buzzard]] / [[subfourth]]		\| [[Buzzard]] / [[subfourth]]
			\|-
			\| 1
			\| 25\58
			\| 517.2
			\| 27/20
			\| [[Gravity]] / [[abergravity]] / [[gravid]]
	\|-		\|-
	\| 1		\| 1

FloraC: /* Notation */ SZG notation

2026-05-12T14:23:08Z

Notation: SZG notation

← Older revision		Revision as of 14:23, 12 May 2026
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	== Notation ==		== Notation ==
	=== ~~Ups~~ and downs notation ===		=== Stein–Zimmermann–Gould notation ===
	58edo can be notated with ups and downs, spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.		[[Stein–Zimmermann–Gould notation]] for 58edo uses sharps and flats combined with quartertone accidentals and arrows:
			{{Sharpness-sharp6-szg}}

			If double arrows are not desirable, then arrows can be attached to quartertone accidentals:
			{{Sharpness-sharp6-qt-szg}}

			=== Kite's ups and downs notation ===
			58edo can also be notated with [[Kite's ups and downs notation\|Kite's ups and downs]], spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.
	{{Ups and downs sharpness}}		{{Ups and downs sharpness}}

	Half-sharps and half-flats can be used to avoid triple arrows:		Half-sharps and half-flats can be used to avoid triple arrows:
	{{Ups and downs sharpness\|58\|true}}		{{Ups and downs sharpness\|58\|true}}

	~~Alternatively, a combination of quarter tone accidentals and arrow accidentals from [[Helmholtz–Ellis notation]] can be used.~~
	~~{{Sharpness-sharp6}}~~

	~~If double arrows are not desirable, then arrows can be attached to quarter-tone accidentals:~~
	~~{{Sharpness-sharp6-qt}}~~

	=== Ivan Wyschnegradsky's notation ===		=== Ivan Wyschnegradsky's notation ===
	Since a sharp raises by six steps, Wyschnegradsky accidentals borrowed from [[72edo]] can also be used:		Since a sharp raises by six steps, Wyschnegradsky accidentals borrowed from [[72edo]] can also be used:

	{{Sharpness-sharp6-iw}}		{{Sharpness-sharp6-iw}}

Line 359:		Line 359:
	\|+ style="font-size: 105%; white-space: nowrap;" \| Hemipyth notation for 58edo (SW3-style)		\|+ style="font-size: 105%; white-space: nowrap;" \| Hemipyth notation for 58edo (SW3-style)
	\|-		\|-
	! &#~~35;~~		! #
	! Cents		! Cents
	! Note names<br />on D		! Note names<br>on D
	\|-		\|-
	\| 0		\| 0

Lucius Chiaraviglio: /* Music */ Xotla's "Wormhole Shmurmhole": Fix copy/paste error in description

2026-05-09T10:47:48Z

Music: Xotla's "Wormhole Shmurmhole": Fix copy/paste error in description

← Older revision		Revision as of 10:47, 9 May 2026
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	; [[Xotla]]		; [[Xotla]]
	* [https://www.youtube.com/watch?v=yTkPhjTEQMw "Wormhole Shmurmhole"], from [https://www.youtube.com/playlist?list=PL4HmfPDldHXueRjmTV-iJN3fsLn_O9jvT ''Just Another Microtonal Music Album''] (2025–2026) – in part, the rest being in ~~58edo~~		* [https://www.youtube.com/watch?v=yTkPhjTEQMw "Wormhole Shmurmhole"], from [https://www.youtube.com/playlist?list=PL4HmfPDldHXueRjmTV-iJN3fsLn_O9jvT ''Just Another Microtonal Music Album''] (2025–2026) – in part, the rest being in 31edo

	[[Category:Buzzard]]		[[Category:Buzzard]]

FloraC: /* Music */ +1

2026-05-09T10:20:13Z

Music: +1

← Older revision		Revision as of 10:20, 9 May 2026
Line 665:		Line 665:
	; [[Cam Taylor]]		; [[Cam Taylor]]
	* [https://www.youtube.com/watch?v=Keclakcqie8 ''58EDO, Mystery temperament and 2 rings of Pythagorean on the Lumatone''] (2021)		* [https://www.youtube.com/watch?v=Keclakcqie8 ''58EDO, Mystery temperament and 2 rings of Pythagorean on the Lumatone''] (2021)

			; [[Xotla]]
			* [https://www.youtube.com/watch?v=yTkPhjTEQMw "Wormhole Shmurmhole"], from [https://www.youtube.com/playlist?list=PL4HmfPDldHXueRjmTV-iJN3fsLn_O9jvT ''Just Another Microtonal Music Album''] (2025–2026) – in part, the rest being in 58edo

	[[Category:Buzzard]]		[[Category:Buzzard]]

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"

2026-03-13T13:30:10Z

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 13:30, 13 March 2026
Line 631:		Line 631:
	\| [[Mystery]]		\| [[Mystery]]
	\|}		\|}
	<nowiki/>* [[Normal forms\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms\|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

	58et can also be detempered to [[semihemi]] ({{nowrap\| 58 & 140 }}), [[supers]] ({{nowrap\| 58 & 152 }}), [[condor]] ({{nowrap\| 58 & 159 }}), and [[eagle]] ({{nowrap\| 58 & 212 }}).		58et can also be detempered to [[semihemi]] ({{nowrap\| 58 & 140 }}), [[supers]] ({{nowrap\| 58 & 152 }}), [[condor]] ({{nowrap\| 58 & 159 }}), and [[eagle]] ({{nowrap\| 58 & 212 }}).

Overthink: /* Intervals */ I don't think 58hi section is worth adding; the accuracy is questionable and only accepted by a few people like FloraC

2025-11-01T06:19:53Z

Intervals: I don't think 58hi section is worth adding; the accuracy is questionable and only accepted by a few people like FloraC

Show changes

Tristanbay: /* Sagittal notation */ Switched to template and rearranged sections

2025-10-24T02:38:55Z

Sagittal notation: Switched to template and rearranged sections

← Older revision		Revision as of 02:38, 24 October 2025
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	=== Sagittal notation ===		=== Sagittal notation ===
	==== Evo flavor ====		==== Evo flavor ====
	~~[[File:58-EDO_Evo_Sagittal.svg~~\|~~alt~~=58-~~EDO_Evo_Sagittal.svg~~\|58-~~EDO_Evo_Sagittal.svg]]~~		{{Sagittal chart\|Evo}}

			==== Evo-SZ flavor ====
			{{Sagittal chart\|Evo-SZ}}

	==== Revo flavor ====		==== Revo flavor ====
	~~[[File:58-EDO_Revo_Sagittal.svg\|alt=58-EDO_Revo_Sagittal.svg\|58-EDO_Revo_Sagittal.svg]]~~		{{Sagittal chart}}

	~~==== Evo-SZ flavor ====~~
	~~[[File:58-EDO_Evo-SZ_Sagittal.svg\|alt=58-EDO_Evo-SZ_Sagittal.svg\|58-EDO_Evo-SZ_Sagittal.svg]]~~

	=== Hemipyth notation ===		=== Hemipyth notation ===

Tristanbay: /* Sagittal notation */Removed image maps to stop horizontal screen scrolling on mobile

2025-10-20T09:29:44Z

Sagittal notation: Removed image maps to stop horizontal screen scrolling on mobile

@@ Line 408: / Line 408: @@
 === Sagittal notation ===
 ==== Evo flavor ====
-<imagemap>
+[[File:58-EDO_Evo_Sagittal.svg|alt=58-EDO_Evo_Sagittal.svg|58-EDO_Evo_Sagittal.svg]]
 ==== Revo flavor ====
-<imagemap>
+[[File:58-EDO_Revo_Sagittal.svg|alt=58-EDO_Revo_Sagittal.svg|58-EDO_Revo_Sagittal.svg]]
 ==== Evo-SZ flavor ====
-<imagemap>
+[[File:58-EDO_Evo-SZ_Sagittal.svg|alt=58-EDO_Evo-SZ_Sagittal.svg|58-EDO_Evo-SZ_Sagittal.svg]]
 === Hemipyth notation ===

Overthink: /* Intervals */

2025-10-17T05:15:54Z

Intervals

← Older revision		Revision as of 05:15, 17 October 2025
Line 27:		Line 27:
	! Cents		! Cents
	! Approximate ratios*		! Approximate ratios*
	!Additional ratios of 19 and 23		!Additional ratios of 19 and 23
	using the 58hi val		using the 58hi val
	! [[Ups and downs notation]]		! [[Ups and downs notation]]

Overthink: /* Intervals */ Completed 58hi section of table

2025-10-17T05:01:58Z

Intervals: Completed 58hi section of table

Show changes