Sercloreminisma - Revision history

BudjarnLambeth at 03:28, 4 November 2024

2024-11-04T03:28:10Z

← Older revision		Revision as of 03:28, 4 November 2024
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	== See also ==		== See also ==
	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]

			[[Category:Commas named for other reasons]]

BudjarnLambeth: BudjarnLambeth moved page 142884/142805 to Sercloreminisma over redirect: Big comma number

2024-10-13T00:34:49Z

BudjarnLambeth moved page 142884/142805 to Sercloreminisma over redirect: Big comma number

← Older revision	Revision as of 00:34, 13 October 2024
(No difference)

FloraC: /* Temperaments */ correction

2024-10-11T14:03:42Z

Temperaments: correction

← Older revision		Revision as of 14:03, 11 October 2024
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	=== Sercloreminismic ===		=== Sercloreminismic ===

	Subgroup: 2.3.5.7.11.13		[[Subgroup]]: 2.3.5.7.11.13

	~~Commas~~: 142884/142805		[[Comma list]]: 142884/142805

	[[Mapping]]: <br>		[[Mapping]]: <br>
Line 55:		Line 55:
	\|}		\|}

	[[Optimal tuning]] ([[CTE]]): 2 = ~~1199.995~~, 3/2 = 701.~~919~~, 189/169 = 193.~~170~~, 18/13 = 563.~~145~~, 11/8 = 551.~~334~~		[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.913, ~189/169 = 193.164, ~18/13 = 563.168, ~11/8 = 551.318

	{{Optimal ET sequence\|legend=1\|7, 12de, 17c, 19e, 19, 26, 36, 38df, 43, 49f, 62, 68, 87, 111, 130, 198, 224, 311, 373, 422, 441, 552, 639, 684, 814, 1012, 1236, 1920, 2932, 3156, 4168f, 5715f, 6088f}}		{{Optimal ET sequence\|legend=1\| 7, 12de, 17c, 19e, 19, 26, 36, 38df, 43, 49f, 62, 68, 87, 111, 130, 198, 224, 311, 373, 422, 441, 552, 639, 684, 814, 1012, 1236, 1920, 2932, 3156, 4168f, 5715f, 6088f }}

	=== Sercloremine ===		=== Sercloremine ===

	Subgroup: 2.3.5.7.13		[[Subgroup]]: 2.3.5.7.13

	~~Commas~~: 142884/142805		[[Comma list]]: 142884/142805

	[[Mapping]]: <br>		[[Mapping]]: <br>
Line 76:		Line 76:
	\|}		\|}

	[[Optimal tuning]] ([[CTE]]): 2 = ~~1199.995~~, 3/2 = 701.~~919~~, 189/169 = 193.~~170~~, 18/13 = 563.~~145~~		[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.913, ~189/169 = 193.164, ~18/13 = 563.168

	{{Optimal ET sequence\|legend=1\|7, 12d, 17c, 19, 43, 49f, 62, 68, 87, 111, 130, 198, 217, 224, 243, 311, 354, 422, 441, 1106, 1236, 1677, 2361, 2932, 3597f, 4038f, 6529f}}		{{Optimal ET sequence\|legend=1\| 7, 12d, 17c, 19, 43, 49f, 62, 68, 87, 111, 130, 198, 217, 224, 243, 311, 354, 422, 441, 1106, 1236, 1677, 2361, 2932, 3597f, 4038f, 6529f }}

	== Etymology ==		== Etymology ==

Francium: Created page with "{{Infobox Interval | Ratio = 142884/142805 | Name = sercloreminisma | Color name = 3u⁴zzg1
bithuthuzo-agu unison | Comma = yes }} '''142884/142805''', the '''s..."

2024-10-11T13:50:07Z

Created page with "{{Infobox Interval | Ratio = 142884/142805 | Name = sercloreminisma | Color name = 3u4zzg1 bithuthuzo-agu unison | Comma = yes }} '''142884/142805''', the '''s..."

New page

{{Infobox Interval
| Ratio = 142884/142805
| Name = sercloreminisma
| Color name = 3u4zzg1 bithuthuzo-agu unison
| Comma = yes
}}

'''142884/142805''', the '''sercloreminisma''', is a [[13-limit]] [[unnoticeable comma]] of about 0.96 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following pairs:
* [[169/168]] and [[1701/1690]]
* [[196/195]] and [[2197/2187]]
* [[325/324]] and [[2205/2197]]
* [[640/637]] and [[373248/371293]]
* [[676/675]] and [[21168/21125]]
* [[4394/4375]] and [[40824/40625]]

It factors into:
* [[2401/2400]] and [[1399680/1399489]]
* [[3381/3380]] and [[3888/3887]]
* [[4096/4095]] and [[2250423/2249728]]
* [[5832/5831]] and [[285719/285610]]
* [[10648/10647]] and [[2250423/2249390]]
* [[11016/11011]] and [[373527/373490]]
* [[57375/57344]] and [[303464448/303460625]]
* [[140625/140608]] and [[1016064/1015625]]
* [[200000/199927]] and [[250047/250000]]
* [[256000/255879]] and [[703096443/703040000]]

== Temperaments ==
Tempering it out in the 13-limit leads to the rank-5 temperament sercloreminismic. Retracting it to the 2.3.5.7.13 [[subgroup]] leads to the rank-4 temperament sercloremine.

Adding the [[ratwolfsma]], the [[swetisma]] and 40656/40625 to the comma list leads to the [[fermionic]] temperament.

Adding the [[breedsma]], the [[kalisma]] and 67392/67375 leads to 13-limit [[titanium]].

=== Sercloreminismic ===

Subgroup: 2.3.5.7.11.13

Commas: 142884/142805

[[Mapping]]: 
{| class="right-all"
| [⟨ || 1 || 0 || 0 || 1 || 0 || 1 || ],
|-
| ⟨ || 0 || 1 || 0 || 1 || 0 || 2 || ],
|-
| ⟨ || 0 || 0 || 2 || 1 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 2 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || ]]
|}

[[Optimal tuning]] ([[CTE]]): 2 = 1199.995, 3/2 = 701.919, 189/169 = 193.170, 18/13 = 563.145, 11/8 = 551.334

{{Optimal ET sequence|legend=1|7, 12de, 17c, 19e, 19, 26, 36, 38df, 43, 49f, 62, 68, 87, 111, 130, 198, 224, 311, 373, 422, 441, 552, 639, 684, 814, 1012, 1236, 1920, 2932, 3156, 4168f, 5715f, 6088f}}

=== Sercloremine ===

Subgroup: 2.3.5.7.13

Commas: 142884/142805

[[Mapping]]: 
{| class="right-all"
| [⟨ || 1 || 0 || 0 || 1 || 1 || ],
|-
| ⟨ || 0 || 1 || 0 || 1 || 2 || ],
|-
| ⟨ || 0 || 0 || 2 || 1 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 2 || 1 || ]]
|}

[[Optimal tuning]] ([[CTE]]): 2 = 1199.995, 3/2 = 701.919, 189/169 = 193.170, 18/13 = 563.145

{{Optimal ET sequence|legend=1|7, 12d, 17c, 19, 43, 49f, 62, 68, 87, 111, 130, 198, 217, 224, 243, 311, 354, 422, 441, 1106, 1236, 1677, 2361, 2932, 3597f, 4038f, 6529f}}

== Etymology ==
The sercloreminisma was named by [[Francium]] in 2024. It refers to the ChemSpider ID of {{W|Sercloremine}}

== See also ==
* [[Unnoticeable comma]]

Sercloreminisma - Revision history

BudjarnLambeth at 03:28, 4 November 2024

BudjarnLambeth: BudjarnLambeth moved page 142884/142805 to Sercloreminisma over redirect: Big comma number

FloraC: /* Temperaments */ correction

Francium: Created page with "{{Infobox Interval | Ratio = 142884/142805 | Name = sercloreminisma | Color name = 3u4zzg1 bithuthuzo-agu unison | Comma = yes }} '''142884/142805''', the '''s..."

Francium: Created page with "{{Infobox Interval | Ratio = 142884/142805 | Name = sercloreminisma | Color name = 3u⁴zzg1
bithuthuzo-agu unison | Comma = yes }} '''142884/142805''', the '''s..."