BudjarnLambeth at 03:24, 11 April 2025

2025-04-11T03:24:43Z

← Older revision		Revision as of 03:24, 11 April 2025
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	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	[[Category:Commas named after ~~myth~~ or ~~folk characters~~]]		[[Category:Commas named after mythology or literature]]

BudjarnLambeth at 02:25, 4 November 2024

2024-11-04T02:25:15Z

← Older revision		Revision as of 02:25, 4 November 2024
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	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	[[Category:Commas named after ~~asteroids]]~~		[[Category:Commas named after myth or folk characters]]
	~~[[Category:Commas named after individuals~~]]

BudjarnLambeth at 01:46, 4 November 2024

2024-11-04T01:46:16Z

← Older revision		Revision as of 01:46, 4 November 2024
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	== Etymology ==		== Etymology ==
	The kaguyisma was named by [[Francium]] in 2024. It refers to {{W\|10880 Kaguya}}, the asteroid.		The kaguyisma was named by [[Francium]] in 2024. It refers to {{W\|10880 Kaguya}}, the asteroid. Which was in turn named after the princess from Japanese folklore.

	== 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

2024-11-03T08:35:45Z

← 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 = 10880/10879 | Name = kaguyisma | Color name = 43u23u17o1uy1
fothutwethusoluyo unison | Comma = yes }} '''10880/10879''', the '''kaguyisma'''..."

2024-11-01T18:04:55Z

Created page with "{{Infobox Interval | Ratio = 10880/10879 | Name = kaguyisma | Color name = 43u23u17o1uy1 <br> fothutwethusoluyo unison | Comma = yes }} '''10880/10879''', the '''kaguyisma'''..."

New page

{{Infobox Interval
| Ratio = 10880/10879
| Name = kaguyisma
| Color name = 43u23u17o1uy1 <br> fothutwethusoluyo unison
| Comma = yes
}}

'''10880/10879''', the '''kaguyisma''', is a [[43-limit]] [[superparticular ratio|superparticular comma]] of about 0.16 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[990/989]] and [[1089/1088]]
* [[3312/3311]] and [[4761/4760]]
* [[5376/5375]] and [[10626/10625]]

It can be factored into the following superparticular commas:
* [[11271/11270]] and [[313600/313599]]
* [[11340/11339]] and [[268192/268191]]
* [[11662/11661]] and [[162240/162239]]
* [[12376/12375]] and [[90000/89999]]
* [[14400/14399]] and [[44506/44505]]
* [[14535/14534]] and [[43264/43263]]
* [[18792/18791]] and [[25840/25839]]

== Temperaments ==
Tempering out this comma in the full 43-limit leads to the rank-13 temperament '''kaguyismic'''. Using the 2.5.11.17.23.43 subgroup leads to the rank-5 temperament '''kaguyic'''.

=== Kayugismic ===

[[Subgroup]]: 2.3.5.7.11.13.17.19.23.29.31.37.41.43

[[Comma list]]: 10880/10879

[[Mapping]]: <br>
{| class="right-all"
| [⟨ || 1 || 1 || 2 || 2 || 3 || 3 || 4 || 4 || 4 || 4 || 4 || 5 || 5 || 6 || ],
|-
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 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 || 0 || 0 || 1 || 0 || 0 || ],
|-
| ⟨ || 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 = 386.303, ~7/4 = 968.826, ~11/8 = 551.341, ~13/8 = 840.528, ~17/16 = 104.924, ~19/16 = 297.513, ~23/16 = 628.313, ~29/16 = 1029.577, ~31/16 = 1145.036, ~37/32 = 251.344, ~41/32 = 429.062

=== Kaguyic ===

[[Subgroup]]: 2.5.11.17.23.43

[[Comma list]]: 10880/10879

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~5/4 = 386.303, ~11/8 = 551.341, ~17/16 = 104.924, ~23/16 = 628.313

{{Optimal ET sequence|legend=1| 4n, 5eg, 6gn, 6, 9, 13n, 15, 16, 19, 21, 28g, 29g, 30, 35, 37, 44, 46, 50, 59, 115, 124, 298, 422, 516, 640, 699, 814, 938, 1637, 1715, 1839, 2137, 2777, 2836, 4973, 5613, 8449, 8573in }}

== Etymology ==
The kaguyisma was named by [[Francium]] in 2024. It refers to {{W|10880 Kaguya}}, the asteroid.

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

Kaguyisma - Revision history

BudjarnLambeth at 03:24, 11 April 2025

BudjarnLambeth at 02:25, 4 November 2024

BudjarnLambeth at 01:46, 4 November 2024

BudjarnLambeth at 08:35, 3 November 2024

Francium: Created page with "{{Infobox Interval | Ratio = 10880/10879 | Name = kaguyisma | Color name = 43u23u17o1uy1 fothutwethusoluyo unison | Comma = yes }} '''10880/10879''', the '''kaguyisma'''..."

Francium: Created page with "{{Infobox Interval | Ratio = 10880/10879 | Name = kaguyisma | Color name = 43u23u17o1uy1
fothutwethusoluyo unison | Comma = yes }} '''10880/10879''', the '''kaguyisma'''..."