The Flashmob - Revision history

BudjarnLambeth at 05:53, 24 February 2024

2024-02-24T05:53:11Z

← Older revision		Revision as of 05:53, 24 February 2024
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	{{Todo\| expand \| comment = Expand or delete, flashma is a notable comma, but all temperaments have been moved to pages of their own, rendering this page completely empty. Should this be kept or should this be deleted? \|inline = 1}}

	'''The Flashmob''' is a collection of temperaments of different ranks that all temper out 12376/12375, the [[flashma]], a 17-limit comma associated with precise systems that model high-limit JI.		'''The Flashmob''' is a collection of temperaments of different ranks that all temper out 12376/12375, the [[flashma]], a 17-limit comma associated with precise systems that model high-limit JI.

BudjarnLambeth: Adopted the same format as "Avicennmic temperaments"

2024-02-24T05:52:28Z

Adopted the same format as "Avicennmic temperaments"

← Older revision		Revision as of 05:52, 24 February 2024
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	{{Todo\| expand \| comment = Expand or delete, flashma is a notable comma, but all temperaments have been moved to pages of their own, rendering this page completely empty. Should this be kept or should this be deleted? \|inline = 1}}		{{Todo\| expand \| comment = Expand or delete, flashma is a notable comma, but all temperaments have been moved to pages of their own, rendering this page completely empty. Should this be kept or should this be deleted? \|inline = 1}}
	~~{{Todo}}~~

	'''The Flashmob''' is a collection of temperaments of different ranks that all temper out 12376/12375, the [[flashma]], a 17-limit comma associated with precise systems that model high-limit JI.		'''The Flashmob''' is a collection of temperaments of different ranks that all temper out 12376/12375, the [[flashma]], a 17-limit comma associated with precise systems that model high-limit JI.

			See:
			* ''[[Calcium]]'' (+ 9801/9800, 37180/37179, 123201/123200, 903168/903125) → [[20th-octave temperaments#Calcium\|20th-octave temperaments]]
			* ''[[Bromine]]'' (+ 123201/123200, 194481/194480, 1713660/1713481, 24635975/24634368) → [[35th-octave temperaments#Bromine\|35th-octave temperaments]]
			* ''17-limit [[minutes]]'' (+ 9801/9800, 28561/28560, 250047/250000, 253755392/253746675) → [[60th-octave temperaments#Minutes\|60th-octave temperaments]]
			* ''17-limit [[mercury]]'' (+ 9801/9800, 67392/67375, 4230144/4229225, 494534656/494515125) → [[80th-octave temperaments#Mercury\|80th-octave temperaments]]
			* ''17-limit [[hafnium]]'' (+ 9801/9800, 21879/21875, 194481/194480, 1713660/1713481, 97144749/97140736) → [[72nd-octave temperaments#Hafnium\|72nd-octave temperaments]]
			* ''[[Iridium]]'' (+ 63792/67375, 194481/194480, 396833125/396829664, 112435984089/112394240000) → [[77th-octave temperaments#Iridium\|77th-octave temperaments]]
			* ''17-limit [[berkelium-247]]'' (+ 37180/37179, 1990656/1990625, 1146880/1146717, 263299491/263296000) → [[97th-octave temperaments#Berkelium-247\|97th-octave temperaments]]
			* ''Septendecimal [[jacobin]]'' (+ 6656/6655) → [[The Jacobins#Septendecimal jacobin\|The Jacobins]]
			* ''17-limit [[iodine]]'' (+ 1701/1700, 6656/6655, 8624/8619, 14875/14872) → [[Mercator family#Iodine\|Mercator family]]
			* ''17-limit [[noletaland]]'' (+ 2058/2057, 4914/4913, 8624/8619, 250047/250000) → [[Tricot family#Noletaland\|Tricot family]]

	[[Category:Commatic realms]]		[[Category:Commatic realms]]
	[[Category:Flashmic]]		[[Category:Flashmic]]

Eliora at 21:18, 24 September 2023

2023-09-24T21:18:01Z

← Older revision		Revision as of 21:18, 24 September 2023
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	{{Todo\| ~~either~~ expand ~~or delete~~ \| comment = ~~Flashma~~ is a notable comma, but all temperaments have been moved to pages of their own, rendering this page completely empty. Should this be kept or should this be deleted? \|inline = 1}}		{{Todo\| expand \| comment = Expand or delete, flashma is a notable comma, but all temperaments have been moved to pages of their own, rendering this page completely empty. Should this be kept or should this be deleted? \|inline = 1}}
			{{Todo}}

	'''The Flashmob''' is a collection of temperaments of different ranks that all temper out 12376/12375, the [[flashma]], a 17-limit comma associated with precise systems that model high-limit JI.		'''The Flashmob''' is a collection of temperaments of different ranks that all temper out 12376/12375, the [[flashma]], a 17-limit comma associated with precise systems that model high-limit JI.

Eliora at 21:16, 24 September 2023

2023-09-24T21:16:51Z

← Older revision		Revision as of 21:16, 24 September 2023
Line 1:		Line 1:
			{{Todo\| either expand or delete \| comment = Flashma is a notable comma, but all temperaments have been moved to pages of their own, rendering this page completely empty. Should this be kept or should this be deleted? \|inline = 1}}

	'''The Flashmob''' is a collection of temperaments of different ranks that all temper out 12376/12375, the [[flashma]], a 17-limit comma associated with precise systems that model high-limit JI.		'''The Flashmob''' is a collection of temperaments of different ranks that all temper out 12376/12375, the [[flashma]], a 17-limit comma associated with precise systems that model high-limit JI.

	[[Category:Commatic realms]]		[[Category:Commatic realms]]
	[[Category:Flashmic]]		[[Category:Flashmic]]

Eliora at 21:13, 24 September 2023

2023-09-24T21:13:55Z

@@ Line 1: / Line 1: @@
 '''The Flashmob''' is a collection of temperaments of different ranks that all temper out 12376/12375, the [[flashma]], a 17-limit comma associated with precise systems that model high-limit JI.
 [[Category:Commatic realms]]
 [[Category:Flashmic]]

FloraC: -noletaland (addressed in tricot family)

2023-09-16T07:48:42Z

-noletaland (addressed in tricot family)

@@ Line 1: / Line 1: @@
 '''The Flashmob''' is a collection of temperaments of different ranks that all temper out 12376/12375, the [[flashma]], a 17-limit comma associated with precise systems that model high-limit JI.
-Temperaments discussed elsewhere include:
+== Rank-2 ==
-* ''Minutes'' → [[60th-octave temperaments#Minutes]]
+=== Iridium ===
 Iridium is named after 77th element, being period-77.
@@ Line 65: / Line 11: @@
 Comma list: 12376/12375, 63792/67375, 194481/194480, 396833125/396829664, 112435984089/112394240000
-Mapping: [{{Val|77 1 203 313 339 527 460}}, {{Val|0 5 -1 -4 -3 -10 -6}}]
+Mapping: {{mapping| 77 1 203 313 339 527 460 | 0 5 -1 -4 -3 -10 -6 }}
-Mapping generators: ~429/425 = 1\77, 975/784 = 377.269
+{{Optimal ET sequence|legend=1| 385, 1848, 7777 }}
 [[Category:Commatic realms]]
 [[Category:Flashmic]]

Eliora: hafnium addressed in 1\72 page

2023-07-08T23:53:43Z

hafnium addressed in 1\72 page

← Older revision		Revision as of 23:53, 8 July 2023
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	* ''Minutes'' → [[60th-octave temperaments#Minutes]]		* ''Minutes'' → [[60th-octave temperaments#Minutes]]
			* ''Hafnium'' → [[72nd-octave temperaments#Hafnium]]
	* ''Mercury'' → [[80th-octave temperaments#Mercury]]		* ''Mercury'' → [[80th-octave temperaments#Mercury]]

Eliora: /* Hafnium */ move Hafnium to 72nd-octave temperaments as tempering of 12376/12375 is not the most interesting thing about it

2023-07-08T23:53:07Z

Hafnium: move Hafnium to 72nd-octave temperaments as tempering of 12376/12375 is not the most interesting thing about it

← Older revision		Revision as of 23:53, 8 July 2023
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	{{Optimal ET sequence\|legend=1\|282, 759def, 1041, 1323, 2082de}}		{{Optimal ET sequence\|legend=1\|282, 759def, 1041, 1323, 2082de}}

	~~== Hafnium ==~~
	~~Hafnium is a period-72 temperament created by temperament-merging 4320edo and 5544edo, equal temperaments notable for their high divisibility. Named after the 72nd element.~~

	~~Subgroup: 2.3.5.7.11.13~~

	~~Comma list: 9801/9800, 250047/250000, 184549376/184528125, 463373664/463203125~~

	~~Mapping: [{{val\|72 72 462 876 1302 1193}}, {{val\|0 1 -7 -16 -25 -22}}]~~

	~~Mapping generators: ~105/104 = 1\72, ~3/2 = 701.948~~

	~~Optimal tuning (CTE): ~3/2 = 701.948~~

	~~{{Optimal ET sequence\|legend=1\|1224, 1872def, 4320, 5544}}~~
	~~===17-limit===~~
	~~Subgroup: 2.3.5.7.11.13.17~~

	~~Comma list: 9801/9800, 12376/12375, 21879/21875, 194481/194480, 1713660/1713481, 97144749/97140736~~

	~~Mapping: [{{val\|72 72 462 876 1302 1193 547}}, {{val\|0 1 -7 -16 -25 -22 -6}}]~~

	~~Mapping generators: ~105/104 = 1\72, ~3/2 = 701.948~~

	~~Optimal tuning (CTE): ~3/2 = 701.948~~

	~~{{Optimal ET sequence\|legend=1\|1224, 1872def, 4320, 5544}}~~

	~~===2.3.5.7.11.13.17.31 subgroup===~~
	~~Since 4320edo and 5544edo have good 31st and 37th harmonics, addition of these subgroups is prescribed.~~

	~~Subgroup: 2.3.5.7.11.13.17.31~~

	~~Comma list: 9801/9800, 10881/10880, 12376/12375, 57629/57624, 179712/179707, 61456384/61448625~~

	~~Sval mapping: [{{val\|72 72 462 876 1302 1193 547 356}}, {{val\|0 1 -7 -16 -25 -22 -6 6}}]~~

	~~Mapping generators: ~105/104 = 1\72, ~3/2 = 701.948~~

	~~Optimal tuning (CTE): ~3/2 = 701.948~~

	~~===2.3.5.7.11.13.17.31.37 subgroup===~~
	~~[[37/22]] is mapped to exact three-quarters of the octave.~~

	~~Subgroup: 2.3.5.7.11.13.17.31~~

	~~Comma list: 10881/10880, 12376/12375, 16576/16575, 93093/93092, 954304/954261, 2737889/2737800, 126607131/126605120~~

	~~Sval mapping: [{{val\|72 72 462 876 1302 1193 547 356 378}}, {{val\|0 1 -7 -16 -25 -22 -6 6 -25}}]~~

	~~Mapping generators: ~105/104 = 1\72, ~3/2 = 701.948~~

	~~Optimal tuning (CTE): ~3/2 = 701.948~~

	== Iridium ==		== Iridium ==

Cmloegcmluin: "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

2023-05-07T18:41:29Z

"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

← Older revision		Revision as of 18:41, 7 May 2023
Line 55:		Line 55:
	Optimal tuning (CTE): ~4725/4576 = 55.330		Optimal tuning (CTE): ~4725/4576 = 55.330

	~~Vals:~~ {{~~EDOs~~\|282, 759def, 1041, 1323, 2082de}}		{{Optimal ET sequence\|legend=1\|282, 759def, 1041, 1323, 2082de}}

	== Hafnium ==		== Hafnium ==
Line 70:		Line 70:
	Optimal tuning (CTE): ~3/2 = 701.948		Optimal tuning (CTE): ~3/2 = 701.948

	~~Vals:~~ {{~~Val list~~\|1224, 1872def, 4320, 5544}}		{{Optimal ET sequence\|legend=1\|1224, 1872def, 4320, 5544}}
	===17-limit===		===17-limit===
	Subgroup: 2.3.5.7.11.13.17		Subgroup: 2.3.5.7.11.13.17
Line 82:		Line 82:
	Optimal tuning (CTE): ~3/2 = 701.948		Optimal tuning (CTE): ~3/2 = 701.948

	~~Vals:~~ {{~~Val list~~\|1224, 1872def, 4320, 5544}}		{{Optimal ET sequence\|legend=1\|1224, 1872def, 4320, 5544}}

	===2.3.5.7.11.13.17.31 subgroup===		===2.3.5.7.11.13.17.31 subgroup===
Line 121:		Line 121:
	Mapping generators: ~429/425 = 1\77, 975/784 = 377.269		Mapping generators: ~429/425 = 1\77, 975/784 = 377.269

	~~Vals:~~ {{~~EDOs~~\|385, 1848, 7777}}		{{Optimal ET sequence\|legend=1\|385, 1848, 7777}}
	[[Category:Commatic realms]]		[[Category:Commatic realms]]
	[[Category:Flashmic]]		[[Category:Flashmic]]

Eliora: documented noletaland (which belongs more here than in landscape microtemps due to its importance for high-limit JI)

2023-05-07T11:01:41Z

documented noletaland (which belongs more here than in landscape microtemps due to its importance for high-limit JI)

@@ Line 5: / Line 5: @@
 * ''Minutes'' → [[60th-octave temperaments#Minutes]]
 * ''Mercury'' → [[80th-octave temperaments#Mercury]]
 == Hafnium ==