Mothra - Revision history

FloraC: Fix dead link + cleanup

2026-03-20T07:32:36Z

Fix dead link + cleanup

← Older revision		Revision as of 07:32, 20 March 2026
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	{{~~interwiki~~		{{Interwiki
	\| en = Mothra		\| en = Mothra
	\| de = Slendrisch #Mothra		\| de = Slendrisch #Mothra
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	== Music ==		== Music ==
	[http://micro.soonlabel.com/16-ET/mothra/20141028_mothra16br4.mp3 ~~Prelude for solo piano in mothra16, brat 4 tuning~~] by [~~http~~://chrisvaisvil.com/prelude-for-solo-piano-in-mothra16-brat-4-tuning/ ~~Chris Vaisvil~~]		; [[Chris Vaisvil]]
			* ''Prelude for solo piano'' (2014) by [[Chris Vaisvil]] – [https://web.archive.org/web/20201127013310/http://micro.soonlabel.com/16-ET/mothra/20141028_mothra16br4.mp3 play] \| [https://www.chrisvaisvil.com/prelude-for-solo-piano-in-mothra16-brat-4-tuning/ blog] – in Mothra[16], brat 4 tuning

	[[Category:Mothra\| ]] <!-- main article -->		[[Category:Mothra\| ]] <!-- main article -->

Lériendil: /* Tuning spectrum */

2026-03-12T04:44:44Z

Tuning spectrum

← Older revision		Revision as of 04:44, 12 March 2026
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	\|		\|
	\|		\|
	\|-
	~~\| [[165edo\|32\165]]~~
	\|
	~~\| 232.727~~
	\|
	~~\| 165bc val~~
	\|-		\|-
	\| [[67edo\|13\67]]		\| [[67edo\|13\67]]

FloraC: Cleanup on infobox

2026-02-09T09:29:20Z

Cleanup on infobox

← Older revision		Revision as of 09:29, 9 February 2026
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	{{Infobox ~~Regtemp~~		{{interwiki
			\| en = Mothra
			\| de = Slendrisch #Mothra
			}}
			{{Infobox regtemp
	\| Title = Mothra		\| Title = Mothra
	\| Subgroups = 2.3.5.7		\| Subgroups = 2.3.5.7
	\| Comma basis = [[81/80]], [[1029/1024]]		\| Comma basis = [[81/80]], [[1029/1024]]
	\| Edo join 1 = 26 \| Edo join 2 = 31		\| Edo join 1 = 26 \| Edo join 2 = 31
	~~\| Generator = 8/7 \| Generator tuning = 232.4 \| Optimization method = CTE~~
	~~\| MOS scales = [[1L 4s]], [[5L 1s]], [[5L 6s]], ... [[5L 21s]]~~
	\| Mapping = 1; 3 12 -1		\| Mapping = 1; 3 12 -1
			\| Generators = 8/7 \| Generators tuning = 232.3 \| Optimization method = CWE
			\| MOS scales = [[1L 4s]], [[5L 1s]], [[5L 6s]], …, [[5L 21s]]
	\| Pergen = (P8, P5/3)		\| Pergen = (P8, P5/3)
	\| Odd limit 1 = 7 \| Mistuning 1 = 5.4 \| Complexity 1 = 31		\| Odd limit 1 = 7 \| Mistuning 1 = 5.4 \| Complexity 1 = 31
	\| Odd limit 2 = (2.3.5.7) 21 \| Mistuning 2 = 10.8 \| Complexity 2 = 36		\| Odd limit 2 = (2.3.5.7) 21 \| Mistuning 2 = 10.8 \| Complexity 2 = 36
	}}
	~~{{interwiki~~
	~~\| de = Slendrisch#Mothra~~
	~~\| en = Mothra~~
	}}		}}
	'''Mothra''', also known as '''cynder''', is a temperament of the [[7-limit]] that is a strong extension to [[slendric]], which is defined by splitting a perfect fifth representing [[3/2]] into three intervals of [[8/7]], tempering out [[1029/1024]]. The fifth of mothra is flattened to a [[meantone]] fifth, so that it reaches [[5/4]] when stacked four times and [[81/80]] is tempered out, unlike that of the other slendric extension [[rodan]], which is sharpened from just. This has the effect of bringing the generator 8/7 considerably closer to just, and also allowing [[MOS scale]]s of mothra to be more melodically usable than those of other forms of slendric, as the structurally-pervasive small step known as the [[quark]] (the residue between the octave and 5 generators, representing [[49/48]], [[64/63]], and in mothra also [[36/35]]) is larger here. [[EDOs]] that support mothra include [[26edo]], [[31edo]], and [[36edo]], and 31 is a particularly good tuning.		'''Mothra''', also known as '''cynder''', is a temperament of the [[7-limit]] that is a strong extension to [[slendric]], which is defined by splitting a perfect fifth representing [[3/2]] into three intervals of [[8/7]], tempering out [[1029/1024]]. The fifth of mothra is flattened to a [[meantone]] fifth, so that it reaches [[5/4]] when stacked four times and [[81/80]] is tempered out, unlike that of the other slendric extension [[rodan]], which is sharpened from just. This has the effect of bringing the generator 8/7 considerably closer to just, and also allowing [[MOS scale]]s of mothra to be more melodically usable than those of other forms of slendric, as the structurally-pervasive small step known as the [[quark]] (the residue between the octave and 5 generators, representing [[49/48]], [[64/63]], and in mothra also [[36/35]]) is larger here. [[EDOs]] that support mothra include [[26edo]], [[31edo]], and [[36edo]], and 31 is a particularly good tuning.

Hstraub: Link to German

2026-01-22T15:52:27Z

Link to German

← Older revision		Revision as of 15:52, 22 January 2026
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	\| Odd limit 2 = (2.3.5.7) 21 \| Mistuning 2 = 10.8 \| Complexity 2 = 36		\| Odd limit 2 = (2.3.5.7) 21 \| Mistuning 2 = 10.8 \| Complexity 2 = 36
	}}		}}
			{{interwiki
			\| de = Slendrisch#Mothra
			\| en = Mothra
			}}
	'''Mothra''', also known as '''cynder''', is a temperament of the [[7-limit]] that is a strong extension to [[slendric]], which is defined by splitting a perfect fifth representing [[3/2]] into three intervals of [[8/7]], tempering out [[1029/1024]]. The fifth of mothra is flattened to a [[meantone]] fifth, so that it reaches [[5/4]] when stacked four times and [[81/80]] is tempered out, unlike that of the other slendric extension [[rodan]], which is sharpened from just. This has the effect of bringing the generator 8/7 considerably closer to just, and also allowing [[MOS scale]]s of mothra to be more melodically usable than those of other forms of slendric, as the structurally-pervasive small step known as the [[quark]] (the residue between the octave and 5 generators, representing [[49/48]], [[64/63]], and in mothra also [[36/35]]) is larger here. [[EDOs]] that support mothra include [[26edo]], [[31edo]], and [[36edo]], and 31 is a particularly good tuning.		'''Mothra''', also known as '''cynder''', is a temperament of the [[7-limit]] that is a strong extension to [[slendric]], which is defined by splitting a perfect fifth representing [[3/2]] into three intervals of [[8/7]], tempering out [[1029/1024]]. The fifth of mothra is flattened to a [[meantone]] fifth, so that it reaches [[5/4]] when stacked four times and [[81/80]] is tempered out, unlike that of the other slendric extension [[rodan]], which is sharpened from just. This has the effect of bringing the generator 8/7 considerably closer to just, and also allowing [[MOS scale]]s of mothra to be more melodically usable than those of other forms of slendric, as the structurally-pervasive small step known as the [[quark]] (the residue between the octave and 5 generators, representing [[49/48]], [[64/63]], and in mothra also [[36/35]]) is larger here. [[EDOs]] that support mothra include [[26edo]], [[31edo]], and [[36edo]], and 31 is a particularly good tuning.

FloraC: + basic norm-based tunings

2025-11-16T12:33:05Z

+ basic norm-based tunings

@@ Line 224: / Line 224: @@
 <nowiki/>* In 7-limit [[CWE tuning]], octave reduced
-== Tuning spectrum ==
+== Tunings ==
-{{see also|Slendric #Tuning spectrum}}
+=== Norm-based tunings ===
-Vals refer to the appropriate undecimal extension in the EDO's range.
+=== Tuning spectrum ===
 {| class="wikitable center-all left-4 left-5"

Lériendil at 05:04, 8 September 2025

2025-09-08T05:04:18Z

← Older revision		Revision as of 05:04, 8 September 2025
Line 12:		Line 12:
	}}		}}

	'''Mothra''' is a temperament in the [[7-limit]] that is a strong extension to [[slendric]], which is defined by splitting a perfect fifth representing [[3/2]] into three intervals of [[8/7]], tempering out [[1029/1024]]. The fifth of mothra is flattened to a [[meantone]] fifth, so that it reaches [[5/4]] when stacked four times and [[81/80]] is tempered out, unlike that of the other slendric extension [[rodan]], which is sharpened from just. This has the effect of bringing the generator 8/7 considerably closer to just, and also allowing [[MOS scale]]s of mothra to be more melodically usable than those of other forms of slendric, as the structurally-pervasive small step known as the [[quark]] (the residue between the octave and 5 generators, representing [[49/48]], [[64/63]], and in mothra also [[36/35]]) is larger here. [[EDOs]] that support mothra include [[26edo]], [[31edo]], and [[36edo]], and 31 is a particularly good tuning.		'''Mothra''', also known as '''cynder''', is a temperament of the [[7-limit]] that is a strong extension to [[slendric]], which is defined by splitting a perfect fifth representing [[3/2]] into three intervals of [[8/7]], tempering out [[1029/1024]]. The fifth of mothra is flattened to a [[meantone]] fifth, so that it reaches [[5/4]] when stacked four times and [[81/80]] is tempered out, unlike that of the other slendric extension [[rodan]], which is sharpened from just. This has the effect of bringing the generator 8/7 considerably closer to just, and also allowing [[MOS scale]]s of mothra to be more melodically usable than those of other forms of slendric, as the structurally-pervasive small step known as the [[quark]] (the residue between the octave and 5 generators, representing [[49/48]], [[64/63]], and in mothra also [[36/35]]) is larger here. [[EDOs]] that support mothra include [[26edo]], [[31edo]], and [[36edo]], and 31 is a particularly good tuning.

	In the [[11-limit]], two extensions are of note: undecimal mothra (26 & 31), which tempers out [[99/98]], [[385/384]] and [[441/440]] to find the 11th harmonic at 8 generators down, and mosura (31 & 36), which tempers out [[176/175]] to find the 11th harmonic at 23 generators up. These two mappings merge at 31edo, which is therefore a uniquely suitable tuning for 11-limit mothra.		In the [[11-limit]], two extensions are of note: undecimal mothra (26 & 31), which tempers out [[99/98]], [[385/384]] and [[441/440]] to find the 11th harmonic at 8 generators down, and mosura (31 & 36), which tempers out [[176/175]] to find the 11th harmonic at 23 generators up. These two mappings merge at 31edo, which is therefore a uniquely suitable tuning for 11-limit mothra.

Lériendil at 20:05, 27 August 2025

2025-08-27T20:05:07Z

← Older revision		Revision as of 20:05, 27 August 2025
Line 12:		Line 12:
	}}		}}

	'''Mothra''' is a temperament in the [[7-limit]] that is a strong extension to [[slendric]], which is defined by splitting ~~the interval of~~ [[3/2]] into three [[8/7]]~~s and~~ tempering out [[1029/1024]]. The fifth of mothra is flattened to a [[meantone]] fifth, so that it reaches [[5/4]] when stacked four times and [[81/80]] is tempered out, unlike that of the other slendric extension [[rodan]], which is sharpened from just. This has the effect of bringing the generator 8/7 considerably closer to just, and also allowing [[MOS scale]]s of mothra to be more melodically usable than those of other forms of slendric, as the structurally-pervasive small step known as the [[quark]] (the residue between the octave and 5 generators, representing [[49/48]], [[64/63]], and in mothra also [[36/35]]) is larger here. [[EDOs]] that support mothra include [[26edo]], [[31edo]], and [[36edo]], and 31 is a particularly good tuning.		'''Mothra''' is a temperament in the [[7-limit]] that is a strong extension to [[slendric]], which is defined by splitting a perfect fifth representing [[3/2]] into three intervals of [[8/7]], tempering out [[1029/1024]]. The fifth of mothra is flattened to a [[meantone]] fifth, so that it reaches [[5/4]] when stacked four times and [[81/80]] is tempered out, unlike that of the other slendric extension [[rodan]], which is sharpened from just. This has the effect of bringing the generator 8/7 considerably closer to just, and also allowing [[MOS scale]]s of mothra to be more melodically usable than those of other forms of slendric, as the structurally-pervasive small step known as the [[quark]] (the residue between the octave and 5 generators, representing [[49/48]], [[64/63]], and in mothra also [[36/35]]) is larger here. [[EDOs]] that support mothra include [[26edo]], [[31edo]], and [[36edo]], and 31 is a particularly good tuning.

	In the [[11-limit]], two extensions are of note: undecimal mothra (26 & 31), which tempers out [[99/98]], [[385/384]] and [[441/440]] to find the 11th harmonic at 8 generators down, and mosura (31 & 36), which tempers out [[176/175]] to find the 11th harmonic at 23 generators up. These two mappings merge at 31edo, which is therefore a uniquely suitable tuning for 11-limit mothra.		In the [[11-limit]], two extensions are of note: undecimal mothra (26 & 31), which tempers out [[99/98]], [[385/384]] and [[441/440]] to find the 11th harmonic at 8 generators down, and mosura (31 & 36), which tempers out [[176/175]] to find the 11th harmonic at 23 generators up. These two mappings merge at 31edo, which is therefore a uniquely suitable tuning for 11-limit mothra.

Lériendil at 21:21, 9 August 2025

2025-08-09T21:21:46Z

← Older revision		Revision as of 21:21, 9 August 2025
Line 16:		Line 16:
	In the [[11-limit]], two extensions are of note: undecimal mothra (26 & 31), which tempers out [[99/98]], [[385/384]] and [[441/440]] to find the 11th harmonic at 8 generators down, and mosura (31 & 36), which tempers out [[176/175]] to find the 11th harmonic at 23 generators up. These two mappings merge at 31edo, which is therefore a uniquely suitable tuning for 11-limit mothra.		In the [[11-limit]], two extensions are of note: undecimal mothra (26 & 31), which tempers out [[99/98]], [[385/384]] and [[441/440]] to find the 11th harmonic at 8 generators down, and mosura (31 & 36), which tempers out [[176/175]] to find the 11th harmonic at 23 generators up. These two mappings merge at 31edo, which is therefore a uniquely suitable tuning for 11-limit mothra.

	In higher limits, one may note that the two-generator interval closely approximates [[17/13]], and that the six-generator interval - the meantone whole tone of [[9/8]][[~]][[10/9]], approximates [[19/17]], so that the 13:17:19 chord is well-~~approximated~~; it is worth noting also that this chord is entirely included within the subtemperament obtained from taking every other generator of mothra, which is [[A-team]] (the crawma, [[83521/83486]], is the relevant comma tempered out here). This can be combined with the canonical mapping of 13 for each undecimal extension, which tempers out [[144/143]], to provide a natural route to the [[19-limit]].		In higher limits, one may note that the two-generator interval closely approximates [[17/13]], and that the six-generator interval - the meantone whole tone of [[9/8]][[~]][[10/9]], approximates [[19/17]] - so that the 13:17:19 chord is well-represented; it is worth noting also that this chord is entirely included within the subtemperament obtained from taking every other generator of mothra, which is [[A-team]] (the crawma, [[83521/83486]], is the relevant comma tempered out here). This can be combined with the canonical mapping of 13 for each undecimal extension, which tempers out [[144/143]], to provide a natural route to the [[19-limit]].

	For technical data, see [[Gamelismic clan #Mothra]].		For technical data, see [[Gamelismic clan #Mothra]].

Lériendil at 09:31, 7 August 2025

2025-08-07T09:31:12Z

← Older revision		Revision as of 09:31, 7 August 2025
Line 16:		Line 16:
	In the [[11-limit]], two extensions are of note: undecimal mothra (26 & 31), which tempers out [[99/98]], [[385/384]] and [[441/440]] to find the 11th harmonic at 8 generators down, and mosura (31 & 36), which tempers out [[176/175]] to find the 11th harmonic at 23 generators up. These two mappings merge at 31edo, which is therefore a uniquely suitable tuning for 11-limit mothra.		In the [[11-limit]], two extensions are of note: undecimal mothra (26 & 31), which tempers out [[99/98]], [[385/384]] and [[441/440]] to find the 11th harmonic at 8 generators down, and mosura (31 & 36), which tempers out [[176/175]] to find the 11th harmonic at 23 generators up. These two mappings merge at 31edo, which is therefore a uniquely suitable tuning for 11-limit mothra.

	In higher limits, one may note that the two-generator interval closely approximates [[17/13]], and that the six-generator interval - the meantone whole tone of [[9/8]][[~]][[10/9]], approximates [[19/17]], so that the 13:17:19 chord is well-approximated; it is worth noting also that this chord is entirely included within the subtemperament obtained from taking every other generator of mothra, which is [[A-team]]. This can be combined with the canonical mapping of 13 for each undecimal extension, which tempers out [[144/143]], to provide a natural route to the [[19-limit]].		In higher limits, one may note that the two-generator interval closely approximates [[17/13]], and that the six-generator interval - the meantone whole tone of [[9/8]][[~]][[10/9]], approximates [[19/17]], so that the 13:17:19 chord is well-approximated; it is worth noting also that this chord is entirely included within the subtemperament obtained from taking every other generator of mothra, which is [[A-team]] (the crawma, [[83521/83486]], is the relevant comma tempered out here). This can be combined with the canonical mapping of 13 for each undecimal extension, which tempers out [[144/143]], to provide a natural route to the [[19-limit]].

	For technical data, see [[Gamelismic clan #Mothra]].		For technical data, see [[Gamelismic clan #Mothra]].

Lériendil: /* Tuning spectrum */

2025-07-06T16:43:10Z

Tuning spectrum

← Older revision		Revision as of 16:43, 6 July 2025
Line 225:		Line 225:

	== Tuning spectrum ==		== Tuning spectrum ==
			{{see also\|Slendric #Tuning spectrum}}

	Vals refer to the appropriate undecimal extension in the EDO's range.		Vals refer to the appropriate undecimal extension in the EDO's range.