Muggles - Revision history

FloraC: /* Tunings */ + comments

2026-04-08T09:57:58Z

Tunings: + comments

← Older revision		Revision as of 09:57, 8 April 2026
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	\|		\|
	\| 375.000		\| 375.000
	\|		\| Lower bound of 7-odd-limit diamond monotone
	\|-		\|-
	\|		\|
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	\|		\|
	\| 378.947		\| 378.947
	\|		\| Upper bound of 7-odd-limit diamond monotone; <br>9-, 11-, and 13-odd-limit diamond monotone (singleton)
	\|-		\|-
	\|		\|
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	\|		\|
	\| 381.818		\| 381.818
	\|		\| 22d… val
	\|-		\|-
	\|		\|

FloraC: Fix

2026-04-08T09:55:30Z

Fix

← Older revision		Revision as of 09:55, 8 April 2026
Line 5:		Line 5:
	{{Infobox regtemp		{{Infobox regtemp
	\| Title = Muggles		\| Title = Muggles
	\| Subgroups = 2.3.5.7, 2.3.5.7.13		\| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13
	\| Comma basis = [[126/125]], [[525/512]] (7-limit);<br>[[45/44]], [[126/125]], [[385/384]] (11-limit);<br>[[45/44]], [[65/64]], [[78/77]], [[126/125]]<br>(13-limit)		\| Comma basis = [[126/125]], [[525/512]] (7-limit);<br>[[45/44]], [[126/125]], [[385/384]] (11-limit);<br>[[45/44]], [[65/64]], [[78/77]], [[126/125]]<br>(13-limit)
	\| Edo join 1 = 16 \| Edo join 2 = 19		\| Edo join 1 = 16 \| Edo join 2 = 19

FloraC: /* Tunings */ + norm-based tunings

2026-04-08T09:54:51Z

Tunings: + norm-based tunings

@@ Line 91: / Line 91: @@
 == Tunings ==
 === Target tunings ===
 {| class="wikitable center-1 center-3 mw-collapsible mw-collapsed"

FloraC: Tabulate target tunings

2026-04-08T09:52:49Z

Tabulate target tunings

@@ Line 90: / Line 90: @@
 <nowiki/>* In 2.3.5.7.13 CWE tuning
-== Tuning spectra ==
+== Tunings ==
-=== Muggles ===
+=== Target tunings ===
 {| class="wikitable center-all left-4"
 |-
 ! Edo<br>generator
-! [[Eigenmonzo|Unchanged interval<br>(eigenmonzo)]]
+! [[Eigenmonzo|Unchanged interval<br>(eigenmonzo)]]*
 ! Generator (¢)
 ! Comments
@@ Line 168: / Line 212: @@
 | 377.393
 | 11-, 13- and 15-odd-limit minimax
 |-
+|
@@ Line 213: / Line 237: @@
 | 378.534
 | 9-odd-limit minimax
 |-
+|
@@ Line 238: / Line 257: @@
 | 379.733
+|
 |-
+|
@@ Line 264: / Line 278: @@
+|
 |}
-== Notes ==
+== References ==
 [[Category:Muggles| ]] <!-- main article -->

FloraC: + infobox

2026-04-08T09:45:22Z

+ infobox

@@ Line 2: / Line 2: @@
 | en = Muggles
 | de = Magische Temperaturen #Muggel
 }}
 '''Muggles''' is the rank-2 [[regular temperament|temperament]] [[tempering out]] [[126/125]], the starling comma, and [[525/512]], Avicenna's enharmonic diesis. It is an alternative 7-limit extension to [[magic]] and can be described as the 16 & 19 temperament; [[16edo]], [[35edo]], and [[54edo]] with the flat-fifth bd [[val]] all are muggles tunings. As a tuning noted for having both very flat [[3/2|3rd]] and [[5/4|5th]] harmonics, and supported by [[19edo]], it is very analogous to [[flattone]]. Similarly to flattone, muggles can extend to the [[13-limit]] by equating [[5/4]] to both [[11/9]] and [[16/13]], thereby tempering out [[45/44]] and [[65/64]].
@@ Line 11: / Line 24: @@
 == Interval chain ==
 Odd harmonics 1–13 and their inverses are in '''bold'''.
 {| class="wikitable center-1 right-2"
 |-

FloraC: Adopt standard interwiki template

2026-01-20T15:56:38Z

Adopt standard interwiki template

← Older revision		Revision as of 15:56, 20 January 2026
Line 1:		Line 1:
	[[de~~:Magische_Temperaturen~~#Muggel~~\|Muggel]]~~		{{Interwiki
			\| en = Muggles
			\| de = Magische Temperaturen #Muggel
			}}
	'''Muggles''' is the rank-2 [[regular temperament\|temperament]] [[tempering out]] [[126/125]], the starling comma, and [[525/512]], Avicenna's enharmonic diesis. It is an alternative 7-limit extension to [[magic]] and can be described as the 16 & 19 temperament; [[16edo]], [[35edo]], and [[54edo]] with the flat-fifth bd [[val]] all are muggles tunings. As a tuning noted for having both very flat [[3/2\|3rd]] and [[5/4\|5th]] harmonics, and supported by [[19edo]], it is very analogous to [[flattone]]. Similarly to flattone, muggles can extend to the [[13-limit]] by equating [[5/4]] to both [[11/9]] and [[16/13]], thereby tempering out [[45/44]] and [[65/64]].		'''Muggles''' is the rank-2 [[regular temperament\|temperament]] [[tempering out]] [[126/125]], the starling comma, and [[525/512]], Avicenna's enharmonic diesis. It is an alternative 7-limit extension to [[magic]] and can be described as the 16 & 19 temperament; [[16edo]], [[35edo]], and [[54edo]] with the flat-fifth bd [[val]] all are muggles tunings. As a tuning noted for having both very flat [[3/2\|3rd]] and [[5/4\|5th]] harmonics, and supported by [[19edo]], it is very analogous to [[flattone]]. Similarly to flattone, muggles can extend to the [[13-limit]] by equating [[5/4]] to both [[11/9]] and [[16/13]], thereby tempering out [[45/44]] and [[65/64]].

Hstraub at 21:00, 18 January 2026

2026-01-18T21:00:40Z

← Older revision		Revision as of 21:00, 18 January 2026
Line 1:		Line 1:
	[[de:Magische_Temperaturen#Muggel]]		[[de:Magische_Temperaturen#Muggel\|Muggel]]
	'''Muggles''' is the rank-2 [[regular temperament\|temperament]] [[tempering out]] [[126/125]], the starling comma, and [[525/512]], Avicenna's enharmonic diesis. It is an alternative 7-limit extension to [[magic]] and can be described as the 16 & 19 temperament; [[16edo]], [[35edo]], and [[54edo]] with the flat-fifth bd [[val]] all are muggles tunings. As a tuning noted for having both very flat [[3/2\|3rd]] and [[5/4\|5th]] harmonics, and supported by [[19edo]], it is very analogous to [[flattone]]. Similarly to flattone, muggles can extend to the [[13-limit]] by equating [[5/4]] to both [[11/9]] and [[16/13]], thereby tempering out [[45/44]] and [[65/64]].		'''Muggles''' is the rank-2 [[regular temperament\|temperament]] [[tempering out]] [[126/125]], the starling comma, and [[525/512]], Avicenna's enharmonic diesis. It is an alternative 7-limit extension to [[magic]] and can be described as the 16 & 19 temperament; [[16edo]], [[35edo]], and [[54edo]] with the flat-fifth bd [[val]] all are muggles tunings. As a tuning noted for having both very flat [[3/2\|3rd]] and [[5/4\|5th]] harmonics, and supported by [[19edo]], it is very analogous to [[flattone]]. Similarly to flattone, muggles can extend to the [[13-limit]] by equating [[5/4]] to both [[11/9]] and [[16/13]], thereby tempering out [[45/44]] and [[65/64]].

Hstraub: Link to German

2026-01-18T21:00:10Z

Link to German

← Older revision		Revision as of 21:00, 18 January 2026
Line 1:		Line 1:
			[[de:Magische_Temperaturen#Muggel]]
	'''Muggles''' is the rank-2 [[regular temperament\|temperament]] [[tempering out]] [[126/125]], the starling comma, and [[525/512]], Avicenna's enharmonic diesis. It is an alternative 7-limit extension to [[magic]] and can be described as the 16 & 19 temperament; [[16edo]], [[35edo]], and [[54edo]] with the flat-fifth bd [[val]] all are muggles tunings. As a tuning noted for having both very flat [[3/2\|3rd]] and [[5/4\|5th]] harmonics, and supported by [[19edo]], it is very analogous to [[flattone]]. Similarly to flattone, muggles can extend to the [[13-limit]] by equating [[5/4]] to both [[11/9]] and [[16/13]], thereby tempering out [[45/44]] and [[65/64]].		'''Muggles''' is the rank-2 [[regular temperament\|temperament]] [[tempering out]] [[126/125]], the starling comma, and [[525/512]], Avicenna's enharmonic diesis. It is an alternative 7-limit extension to [[magic]] and can be described as the 16 & 19 temperament; [[16edo]], [[35edo]], and [[54edo]] with the flat-fifth bd [[val]] all are muggles tunings. As a tuning noted for having both very flat [[3/2\|3rd]] and [[5/4\|5th]] harmonics, and supported by [[19edo]], it is very analogous to [[flattone]]. Similarly to flattone, muggles can extend to the [[13-limit]] by equating [[5/4]] to both [[11/9]] and [[16/13]], thereby tempering out [[45/44]] and [[65/64]].

	This temperament was named by [[Gene Ward Smith]] in 2003<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5279.html#5299 Yahoo! Tuning Group \| ''Poptimal generators'']</ref>.		This temperament was named by [[Gene Ward Smith]] in 2003<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5279.html#5299 Yahoo! Tuning Group \| ''Poptimal generators'']</ref>.

	See [[Magic family #Muggles]] for more technical data.		See [[Magic family #Muggles]] for more technical data.

	== Interval chain ==		== Interval chain ==

Lériendil: Text replacement - "Eigenmonzo
(unchanged-interval)" to "Unchanged interval
(eigenmonzo)"

2025-06-21T06:56:06Z

Text replacement - "Eigenmonzo<br>(unchanged-interval)" to "Unchanged interval<br>(eigenmonzo)"

← Older revision		Revision as of 06:56, 21 June 2025
Line 77:		Line 77:
	\|-		\|-
	! Edo<br>generator		! Edo<br>generator
	! [[Eigenmonzo\|~~Eigenmonzo~~<br>(~~unchanged-interval~~)]]		! [[Eigenmonzo\|Unchanged interval<br>(eigenmonzo)]]
	! Generator (¢)		! Generator (¢)
	! Comments		! Comments

Lériendil: muggloid is kinda useless

2025-06-02T04:12:47Z

muggloid is kinda useless

@@ Line 244: / Line 244: @@
 | 5/4
 | 386.314
+|
 |}