Francium: /* Temperaments */ typo

2025-03-30T19:25:09Z

Temperaments: typo

← Older revision		Revision as of 19:25, 30 March 2025
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	Tempering out this comma in the full 43-limit leads to the rank-13 temperament '''cevenolismic'''. Using the 2.3.31.37.43 subgroup leads to the rank-4 temperament '''cevenolic'''.		Tempering out this comma in the full 43-limit leads to the rank-13 temperament '''cevenolismic'''. Using the 2.3.31.37.43 subgroup leads to the rank-4 temperament '''cevenolic'''.

	=== ~~Cevonolic~~ ===		=== Cevenolic ===

	[[Subgroup]]: 2.3.31.37.43		[[Subgroup]]: 2.3.31.37.43

Francium: Created page with "{{Infobox Interval | Ratio = 1333/1332 | Name = cevenolisma | Color name = 43o37u31o-2
fothothisuthiwo negative 2nd | Comma = yes }} '''1333/1332''', the '''cevenolisma..."

2025-03-30T19:23:15Z

Created page with "{{Infobox Interval | Ratio = 1333/1332 | Name = cevenolisma | Color name = 43o37u31o-2 <br> fothothisuthiwo negative 2nd | Comma = yes }} '''1333/1332''', the '''cevenolisma..."

New page

{{Infobox Interval
| Ratio = 1333/1332
| Name = cevenolisma
| Color name = 43o37u31o-2 <br> fothothisuthiwo negative 2nd
| Comma = yes
}}

'''1333/1332''', the '''cevenolisma''', is a [[43-limit]] [[superparticular interval|superparticular comma]] of about 1.3 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[186/185]] and [[216/215]]
* [[217/216]] and [[259/258]]

It can be factored into the following superparticular ratios:
* [[1369/1368]] and [[50654/50653]]
* [[1426/1425]] and [[20425/20424]]
* [[1444/1443]] and [[17329/17328]]
* [[1519/1518]] and [[10879/10878]]
* [[1666/1665]] and [[6665/6664]]
* [[1849/1848]] and [[4774/4773]]

== Temperaments ==
Tempering out this comma in the full 43-limit leads to the rank-13 temperament '''cevenolismic'''. Using the 2.3.31.37.43 subgroup leads to the rank-4 temperament '''cevenolic'''.

=== Cevonolic ===

[[Subgroup]]: 2.3.31.37.43

[[Comma list]]: 1333/1332

[[Mapping]]: <br>
{| class="right-all"
|-
| [⟨ || 1 || 1 || 4 || 5 || 5 || ],
|-
| ⟨ || 0 || 1 || 0 || 0 || 2 || ],
|-
| ⟨ || 0 || 0 || 1 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 1 || 1 || ]]
|}

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.027, ~31/16 = 1144.686, ~37/32 = 251.731

{{Optimal ET sequence|legend=1| 5, 10ln, 12l, 17l, 19, 24, 46, 65, 70, 101, 106, 171, 176, 282, 301, 453, 629, 930, 1106, 1212n }}

[[Badness]] (Sintel): 0.020

== Etymology ==
This comma was named by [[Francium]] in 2025. It refers to {{W|1333 Cevenola}}, the asteroid, which in turn was named after the {{W|Cévennes}}, a mountainous region in France.

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

[[Category:Commas named after asteroids]]
[[Category:Commas named after place names]]

1333/1332 - Revision history

Francium: /* Temperaments */ typo

Francium: Created page with "{{Infobox Interval | Ratio = 1333/1332 | Name = cevenolisma | Color name = 43o37u31o-2 fothothisuthiwo negative 2nd | Comma = yes }} '''1333/1332''', the '''cevenolisma..."

Francium: Created page with "{{Infobox Interval | Ratio = 1333/1332 | Name = cevenolisma | Color name = 43o37u31o-2
fothothisuthiwo negative 2nd | Comma = yes }} '''1333/1332''', the '''cevenolisma..."