FloraC: FloraC moved page Shchedrinisma to 4625/4624 over redirect: 8-digit ratios are okay as page titles

2025-01-07T14:22:54Z

FloraC moved page Shchedrinisma to 4625/4624 over redirect: 8-digit ratios are okay as page titles

← Older revision	Revision as of 14:22, 7 January 2025
(No difference)

BudjarnLambeth at 02:43, 4 November 2024

2024-11-04T02:43:30Z

← Older revision		Revision as of 02:43, 4 November 2024
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	[[Category:Commas named after asteroids]]		[[Category:Commas named after asteroids]]
	[[Category:Commas named after ~~individuals~~]]		[[Category:Commas named after composers]]

BudjarnLambeth at 01:49, 4 November 2024

2024-11-04T01:49:36Z

← Older revision		Revision as of 01:49, 4 November 2024
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	== Etymology ==		== Etymology ==
	The shchedrinisma was named by [[Francium]] in 2024. It refers to {{W\|4625 Shchedrin}}, the asteroid.		The shchedrinisma was named by [[Francium]] in 2024. It refers to {{W\|4625 Shchedrin}}, the asteroid. Which was in turn named after a Russian composer.

	== See also ==		== See also ==
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	[[Category:Commas named after asteroids]]		[[Category:Commas named after asteroids]]
			[[Category:Commas named after individuals]]

BudjarnLambeth at 08:35, 3 November 2024

2024-11-03T08:35:06Z

← Older revision		Revision as of 08:35, 3 November 2024
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	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

			[[Category:Commas named after asteroids]]

Francium: Created page with "{{Infobox Interval | Ratio = 4625/4624 | Name = shchedrinisma | Color name = 37o17uuy³-2
thisosusutriyo negative 2nd | Comma = yes }} '''4625/4624''', the '''..."

2024-10-30T07:18:47Z

Created page with "{{Infobox Interval | Ratio = 4625/4624 | Name = shchedrinisma | Color name = 37o17uuy3-2 thisosusutriyo negative 2nd | Comma = yes }} '''4625/4624''', the '''..."

New page

{{Infobox Interval
| Ratio = 4625/4624
| Name = shchedrinisma
| Color name = 37o17uuy3-2 thisosusutriyo negative 2nd
| Comma = yes
}}

'''4625/4624''', the '''shchedrinisma''', is a [[37-limit]] [[superparticular ratio|superparticular comma]] of about 0.37 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[375/374]] and [[408/407]]
* [[925/924]] and [[1156/1155]]
* [[1665/1664]] and [[2601/2600]]

It can be factored into following superparticular commas:
* [[4693/4692]] and [[319125/319124]]
* [[4761/4760]] and [[161875/161874]]
* [[5985/5984]] and [[20350/20349]]
* [[6325/6324]] and [[17205/17204]]

== Temperaments ==
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''shchedrinismic'''. Using the 2.5.17.37 subgroup leads to the rank-3 temperament '''shchedrinic'''.

=== Shchedrinismic ===

[[Subgroup]]: 2.3.5.7.11.13.17.19.23.29.31.37

[[Comma list]]: 4625/4624

[[Mapping]]: 
{| class="right-all"
| [⟨ || 1 || 1 || 2 || 2 || 3 || 3 || 4 || 4 || 4 || 4 || 4 || 6 || ],
|-
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || -3 || ],
|-
| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 2 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || ]]
|}

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.955, ~5/4 = 386.271, ~7/4 = 968.826, ~11/8 = 551.318, ~13/8 = 840.528, ~17/16 = 105.043, ~19/16 = 297.513, ~23/16 = 628.274, ~29/16 = 1029.577, ~31/16 = 1145.036

=== Shchedrinic ===

[[Subgroup]]: 2.5.17.37

[[Comma list]]: 4625/4624

[[Mapping]]: 
{| class="right-all"
| [⟨ || 1 || 2 || 4 || 6 || ],
|-
| ⟨ || 0 || 1 || 0 || 3 || ],
|-
| ⟨ || 0 || 0 || 1 || 2 || ]]
|}

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~5/4 = 386.271, ~17/16 = 105.043

{{Optimal ET sequence|legend=1| 4, 5g, 6l, 7g, 9, 16, 22, 25, 34, 56, 81, 90, 115, 205, 320, 3315, 3635, 3955, 4275, 4595, 4915, 5235, 5555l, 5875l, 6195l, 6754l, 7074l, 7394l, 7714l }}

== Etymology ==
The shchedrinisma was named by [[Francium]] in 2024. It refers to {{W|4625 Shchedrin}}, the asteroid.

== See also ==
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]

4625/4624 - Revision history

FloraC: FloraC moved page Shchedrinisma to 4625/4624 over redirect: 8-digit ratios are okay as page titles

BudjarnLambeth at 02:43, 4 November 2024

BudjarnLambeth at 01:49, 4 November 2024

BudjarnLambeth at 08:35, 3 November 2024

Francium: Created page with "{{Infobox Interval | Ratio = 4625/4624 | Name = shchedrinisma | Color name = 37o17uuy3-2 thisosusutriyo negative 2nd | Comma = yes }} '''4625/4624''', the '''..."

Francium: Created page with "{{Infobox Interval | Ratio = 4625/4624 | Name = shchedrinisma | Color name = 37o17uuy³-2
thisosusutriyo negative 2nd | Comma = yes }} '''4625/4624''', the '''..."