Supermatertismic temperaments - Revision history

FloraC: Text replacement - "Category:Temperament collections↵Category:Pages with mostly numerical content" to "Category:Temperament collections"

2025-11-27T12:18:56Z

Text replacement - "Category:Temperament collections↵Category:Pages with mostly numerical content" to "Category:Temperament collections"

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	[[Category:Temperament collections]]		[[Category:Temperament collections]]
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	[[Category:Supermatertismic temperaments\| ]]<!-- main article -->		[[Category:Supermatertismic temperaments\| ]]<!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

Lériendil: Text replacement - "Category:Temperament collections" to "Category:Temperament collections Category:Pages with mostly numerical content"

2025-06-24T00:37:08Z

Text replacement - "Category:Temperament collections" to "Category:Temperament collections Category:Pages with mostly numerical content"

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	[[Category:Rank 2]]		[[Category:Rank 2]]

BudjarnLambeth: {{Technical data page}}

2025-04-13T14:37:25Z

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			{{Technical data page}}
	'''Supermatertismic''' rank-two temperaments temper out the ''supermatertismic'' comma, 52734375/52706752 = {{monzo\|-6 3 9 -7}} (lasepru-atritriyo), the amount by which a stack of one [[5/4]], three [[16/15]]s and seven [[7/5]]s falls short of four octaves.		'''Supermatertismic''' rank-two temperaments temper out the ''supermatertismic'' comma, 52734375/52706752 = {{monzo\|-6 3 9 -7}} (lasepru-atritriyo), the amount by which a stack of one [[5/4]], three [[16/15]]s and seven [[7/5]]s falls short of four octaves.

Xenllium at 11:10, 28 October 2023

2023-10-28T11:10:30Z

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	* [[Hemimean clan #Semisept\|Semisept]]		* [[Hemimean clan #Semisept\|Semisept]]
	* [[Hemimage temperaments #Degrees\|Degrees]]		* [[Hemimage temperaments #Degrees\|Degrees]]
			* [[Canousmic temperaments #Superlimmal\|Superlimmal]]

	== Vydubychi ==		== Vydubychi ==

Xenllium at 06:24, 22 October 2023

2023-10-22T06:24:56Z

← Older revision		Revision as of 06:24, 22 October 2023
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	[[Category:Temperament collections]]		[[Category:Temperament collections]]
			[[Category:Supermatertismic temperaments\| ]]<!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

Xenllium: Created page with "'''Supermatertismic''' rank-two temperaments temper out the ''supermatertismic'' comma, 52734375/52706752 = {{monzo|-6 3 9 -7}} (lasepru-atritriyo), the amount by which a stac..."

2023-10-22T05:47:35Z

Created page with "'''Supermatertismic''' rank-two temperaments temper out the ''supermatertismic'' comma, 52734375/52706752 = {{monzo|-6 3 9 -7}} (lasepru-atritriyo), the amount by which a stac..."

New page

'''Supermatertismic''' rank-two temperaments temper out the ''supermatertismic'' comma, 52734375/52706752 = {{monzo|-6 3 9 -7}} (lasepru-atritriyo), the amount by which a stack of one [[5/4]], three [[16/15]]s and seven [[7/5]]s falls short of four octaves.

Temperaments dicussed elsewhere include:
* [[Breedsmic temperaments #Tertiaseptal|Tertiaseptal]]
* [[Ragismic microtemperaments #Supermajor|Supermajor]]
* [[Landscape microtemperaments #Septichrome|Septichrome]]
* [[Hemimean clan #Semisept|Semisept]]
* [[Hemimage temperaments #Degrees|Degrees]]

== Vydubychi ==
{{main| Vydubychi }}

Subgroup: 2.3.5.7

[[Comma list]]: 52734375/52706752, 2199023255552/2197176384375

[[Mapping]]: [{{val|1 28 -53 -57}}, {{val|0 -53 111 120}}]

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~10125/7168 = 598.0747

{{Optimal ET sequence|legend=1| 311, 624, 935, 4986d, 5921d, 6856d, 7791bd, 8726bdd, 9661bdd }}

[[Badness]]: 0.156974

=== 11-limit ===
Subgroup: 2.3.5.7.11

Comma list: 131072/130977, 151263/151250, 161280/161051

Mapping: [{{val|1 28 -53 -57 -9}}, {{val|0 -53 111 120 25}}]

Optimal tuning (CTE): ~2 = 1\1, ~847/600 = 598.0745

Optimal ET sequence: {{Optimal ET sequence| 311, 624, 935, 2181e, 3116ee }}

Badness: 0.066481

=== 13-limit ===
Subgroup: 2.3.5.7.11.13

Comma list: 2080/2079, 4096/4095, 91125/91091, 151263/151250

Mapping: [{{val|1 28 -53 -57 -9 66}}, {{val|0 -53 111 120 25 -125}}]

Optimal tuning (CTE): ~2 = 1\1, ~572/405 = 598.0747

Optimal ET sequence: {{Optimal ET sequence| 311, 624, 935 }}

Badness: 0.033925

=== 17-limit ===
Subgroup: 2.3.5.7.11.13.17

Comma list: 2058/2057, 2080/2079, 2500/2499, 4096/4095, 11016/11011

Mapping: [{{val|1 28 -53 -57 -9 66 -124}}, {{val|0 -53 111 120 25 -125 257}}]

Optimal tuning (CTE): ~2 = 1\1, ~544/385 = 598.0744

Optimal ET sequence: {{Optimal ET sequence| 311, 624, 935, 2181e }}

Badness: 0.023780

=== 19-limit ===
Subgroup: 2.3.5.7.11.13.17.19

Comma list: 2058/2057, 2080/2079, 2432/2431, 2500/2499, 3136/3135, 11016/11011

Mapping: [{{val|1 28 -53 -57 -9 66 -124 -74}}, {{val|0 -53 111 120 25 -125 257 157}}]

Optimal tuning (CTE): ~2 = 1\1, ~171/121 = 598.0742

Optimal ET sequence: {{Optimal ET sequence| 311, 624, 935, 1246e, 2181e }}

Badness: 0.015527

=== 23-limit ===
Subgroup: 2.3.5.7.11.13.17.19.23

Comma list: 2025/2024, 2058/2057, 2080/2079, 2432/2431, 2500/2499, 3060/3059, 3520/3519

Mapping: [{{val|1 28 -53 -57 -9 66 -124 -74 12}}, {{val|0 -53 111 120 25 -125 257 157 -15}}]

Optimal tuning (CTE): ~2 = 1\1, ~171/121 = 598.0743

Optimal ET sequence: {{Optimal ET sequence| 311, 624, 935, 1246ei, 2181eii }}

Badness: 0.012821

[[Category:Temperament collections]]
[[Category:Rank 2]]