Francium: Created page with "{{Infobox Interval | Ratio = 77441/77440 | Name = jouvisma | Color name = 37o23o3o1uuzg3
thisotwethotholuluzogu 3rd | Comma = yes }} '''77441/77440''', the '''jouvisma''..."

2024-12-07T10:39:40Z

Created page with "{{Infobox Interval | Ratio = 77441/77440 | Name = jouvisma | Color name = 37o23o3o1uuzg3 <br> thisotwethotholuluzogu 3rd | Comma = yes }} '''77441/77440''', the '''jouvisma''..."

New page

{{Infobox Interval
| Ratio = 77441/77440
| Name = jouvisma
| Color name = 37o23o3o1uuzg3 <br> thisotwethotholuluzogu 3rd
| Comma = yes
}}

'''77441/77440''', the '''jouvisma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 0.022 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[481/480]] and [[484/483]]
* [[3367/3366]] and [[3520/3519]]
* [[9361/9360]] and [[10648/10647]]

It can be factored into following superparticular commas:
* [[82621/82620]] and [[1235169/1235168]]
* [[123201/123200]] and [[208495/208494]]

== Temperaments ==
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''jouvismic'''. Using the 2.5.7.11.13.23.37 subgroup leads to the rank-6 temperament '''jouvic'''.

=== Jouvismic ===

[[Subgroup]]: 2.3.5.7.11.13.17.19.23.29.31.37

[[Comma list]]: 77441/77440

[[Mapping]]: <br>
{| 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 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 2 || ],
|-
| ⟨ || 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 || -1 || ],
|-
| ⟨ || 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 = 386.315, ~7/4 = 968.824, ~11/8 = 551.322, ~13/8 = 840.525, ~17/16 = 104.955, ~19/16 = 297.513, ~23/16 = 628.271, ~29/16 = 1029.577, ~31/16 = 1145.036

=== Jouvic ===

[[Subgroup]]: 2.5.7.11.13.23.37

[[Comma list]]: 77441/77440

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~5/4 = 386.315, ~7/4 = 968.824, ~11/8 = 551.322, ~13/8 = 840.525, ~23/16 = 628.271

{{Optimal ET sequence|legend=1| 4, 6l, 8cefl, 8d, 9, 12f, 13, 15, 16, 21l, 25f, 29, 31, 37, 47, 58i, 60el, 62, 63, 72, 78, 80, 84, 103l, 109, 124, 187, 224, 233, 311, 348, 373, 457, 497, 515, 544, 560, 581, 655, 684, 764, 888, 1448, 1469, 1572, 2153, 2196, 2336, 2460, 2544, 3432, 3992, 4116, 7033, 7548, 7921, 9120, 9577, 10465 }}

== Etymology ==
This comma was named by [[Francium]] in 2024. It refers to {{W|77441 Jouve}}, the asteroid, which in turn was named after Jacques Jouve, a person, who was involved in the construction of the {{W|Observatory of Saint-Veran}}.

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

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

Jouvisma - Revision history

Francium: Created page with "{{Infobox Interval | Ratio = 77441/77440 | Name = jouvisma | Color name = 37o23o3o1uuzg3 thisotwethotholuluzogu 3rd | Comma = yes }} '''77441/77440''', the '''jouvisma''..."

Francium: Created page with "{{Infobox Interval | Ratio = 77441/77440 | Name = jouvisma | Color name = 37o23o3o1uuzg3
thisotwethotholuluzogu 3rd | Comma = yes }} '''77441/77440''', the '''jouvisma''..."