FloraC: FloraC moved page Stentorisma to 2146/2145 over redirect: 8-digit ratios are okay as page titles

2025-01-07T14:23:14Z

FloraC moved page Stentorisma to 2146/2145 over redirect: 8-digit ratios are okay as page titles

← Older revision	Revision as of 14:23, 7 January 2025
(No difference)

Francium at 15:46, 24 December 2024

2024-12-24T15:46:28Z

← Older revision		Revision as of 15:46, 24 December 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 2146/2145		\| Ratio = 2146/2145
	\| Name = ~~Stentorisma~~		\| Name = stentorisma
	\| Color name = 37o29o3u1ug2 <br> thisotwenothulugu 2nd		\| Color name = 37o29o3u1ug2 <br> thisotwenothulugu 2nd
	\| Comma = yes		\| Comma = yes

Francium: Created page with "{{Infobox Interval | Ratio = 2146/2145 | Name = Stentorisma | Color name = 37o29o3u1ug2
thisotwenothulugu 2nd | Comma = yes }} '''2146/2145''', the '''stentorisma''', is..."

2024-12-24T15:41:13Z

Created page with "{{Infobox Interval | Ratio = 2146/2145 | Name = Stentorisma | Color name = 37o29o3u1ug2 <br> thisotwenothulugu 2nd | Comma = yes }} '''2146/2145''', the '''stentorisma''', is..."

New page

{{Infobox Interval
| Ratio = 2146/2145
| Name = Stentorisma
| Color name = 37o29o3u1ug2 <br> thisotwenothulugu 2nd
| Comma = yes
}}

'''2146/2145''', the '''stentorisma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 0.81 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[111/110]] and [[117/116]]
* [[232/231]] and [[260/259]]
* [[261/260]] and [[297/296]]
* [[703/702]] and [[1045/1044]]
* [[925/924]] and [[1625/1624]]
* [[1015/1014]] and [[1925/1924]]
* [[1036/1035]] and [[2002/2001]]

It can be factored into the following superparticular ratios:
* [[2176/2175]] and [[155585/155584]]
* [[2185/2184]] and [[120176/120175]]
* [[2233/2232]] and [[55056/55055]]
* [[2432/2431]] and [[18241/18240]]
* [[2465/2464]] and [[16576/16575]]
* [[2553/2552]] and [[13456/13455]]
* [[2784/2783]] and [[9361/9360]]
* [[3256/3255]] and [[6293/6292]]
* [[3367/3366]] and [[5916/5915]]

== Temperaments ==
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''stentorismic'''. Using the 2.3.5.11.13.29.37 subgroup leads to the rank-6 temperament '''stentoric'''.

=== Stentorismic ===

[[Subgroup]] 2.3.5.7.11.13.17.19.23.29.31.37

[[Comma list]]: 2146/2145

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.979, ~5/4 = 386.365, ~7/4 = 968.826, ~11/8 = 551.432, ~13/8 = 840.659, ~17/16 = 104.955, ~19/16 = 297.513, ~23/16 = 628.274, ~29/16 = 1029.351, ~31/16 = 1145.036

=== Stentoric ===

[[Subgroup]]: 2.3.5.11.13.29.37

[[Comma list]]: 2146/2145

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.979, ~5/4 = 386.365, ~11/8 = 551.432, ~13/8 = 840.659, ~29/16 = 1029.351

{{Optimal ET sequence|legend=1| 5ejl, 7fjj, 7, 12el, 12fj, 14cfjjl, 15l, 19el, 19, 24, 31fj, 34j, 38fjl, 41, 43, 50, 53, 65, 80, 87, 118, 121l, 130, 140, 145jl, 159, 183, 224, 304, 311, 407, 916, 1012, 1099, 1323, 1730 }}

== Etymology ==
This comma was named by [[Francium]] in 2024. It refers to {{W|2146 Stentor}}, the asteroid, which in turn was named after {{W|Stentor}}, a Greek warrior.

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

[[Category:Commas named after asteroids]]
[[Category:Commas named after individuals]]

2146/2145 - Revision history

FloraC: FloraC moved page Stentorisma to 2146/2145 over redirect: 8-digit ratios are okay as page titles

Francium at 15:46, 24 December 2024

Francium: Created page with "{{Infobox Interval | Ratio = 2146/2145 | Name = Stentorisma | Color name = 37o29o3u1ug2 thisotwenothulugu 2nd | Comma = yes }} '''2146/2145''', the '''stentorisma''', is..."

Francium: Created page with "{{Infobox Interval | Ratio = 2146/2145 | Name = Stentorisma | Color name = 37o29o3u1ug2
thisotwenothulugu 2nd | Comma = yes }} '''2146/2145''', the '''stentorisma''', is..."