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7956/7955 - Revision history
2026-06-30T16:06:17Z
Revision history for this page on the wiki
MediaWiki 1.43.6
https://en.xen.wiki/index.php?title=7956/7955&diff=184465&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 7956/7955 | Name = yajinisma | Color name = 43u37u17o3og1 <br> fothuthisusothogu unison | Comma = yes }} '''7956/7955''', the '''yajinisma''', is..."
2025-03-04T10:14:47Z
<p>Created page with "{{Infobox Interval | Ratio = 7956/7955 | Name = yajinisma | Color name = 43u37u17o3og1 <br> fothuthisusothogu unison | Comma = yes }} '''7956/7955''', the '''yajinisma''', is..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 7956/7955<br />
| Name = yajinisma<br />
| Color name = 43u37u17o3og1 <br> fothuthisusothogu unison<br />
| Comma = yes<br />
}}<br />
<br />
'''7956/7955''', the '''yajinisma''', is a [[43-limit]] [[superparticular interval|superparticular comma]] of about 0.22 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[216/215]] and [[222/221]]<br />
* [[408/407]] and [[430/429]]<br />
* [[646/645]] and [[703/702]]<br />
* [[1248/1247]] and [[1480/1479]]<br />
* [[1377/1376]] and [[1665/1664]]<br />
* [[2366/2365]] and [[3367/3366]]<br />
* [[2925/2924]] and [[4625/4624]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[9504/9503]] and [[48841/48840]]<br />
* [[9633/9632]] and [[45696/45695]]<br />
* [[10880/10879]] and [[29601/29600]]<br />
* [[11271/11270]] and [[27048/27047]]<br />
* [[12376/12375]] and [[22275/22274]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 43-limit leads to the rank-13 temperament '''yajinismic'''. Using the 2.3.5.13.17.37.43 subgroup leads to the rank-6 temperament '''yajinic'''.<br />
<br />
=== Yajinic ===<br />
<br />
[[Subgroup]]: 2.3.5.13.17.37.43<br />
<br />
[[Comma list]]: 7956/7955<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 3 || 4 || 5 || 4 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 2 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || -1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || 1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || 1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || -1 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.944, ~5/4 = 386.325, ~13/8 = 840.499, ~17/16 = 104.920, ~37/16 = 251.402<br />
<br />
{{Optimal ET sequence|legend=1| 5gn, 7fgn, 7g, 8n, 10n, 12l, 15gln, 19gl, 19, 24, 26, 27g, 31l, 34n, 50, 53, 65, 72n, 77, 106, 171, 277, 354, 460, 631, 711, 764, 882, 935, 1065, 1236, 1342, 1540n, 1612, 1646, 1817, 1966, 2426, 2901, 3361, 3783l, 3966, 4243, 6209l, 9570ln, 10452ln }}<br />
<br />
[[Badness]] (Sintel): 0.053<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|7956 Yaji}}, the asteroid, which in turn was named after Kentaro Yaji, the director of the Kawabe Cosmic Park in the {{W|Wakayama prefecture}}.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
* [[List of superparticular intervals]]<br />
<br />
[[Category:Commas named after asteroids]]<br />
[[Category:Commas named after individuals]]</div>
Francium