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7176/7175 - Revision history
2026-06-10T15:50:45Z
Revision history for this page on the wiki
MediaWiki 1.43.6
https://en.xen.wiki/index.php?title=7176/7175&diff=176066&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 7176/7175 | Name = kunijisma | Color name = 41u23o3orgg2 <br> fowutwethothorugugu 2nd | Comma = yes }} '''7176/7175''', the '''kunijisma''', is a..."
2025-01-15T06:15:43Z
<p>Created page with "{{Infobox Interval | Ratio = 7176/7175 | Name = kunijisma | Color name = 41u23o3orgg2 <br> fowutwethothorugugu 2nd | Comma = yes }} '''7176/7175''', the '''kunijisma''', is a..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 7176/7175<br />
| Name = kunijisma<br />
| Color name = 41u23o3orgg2 <br> fowutwethothorugugu 2nd<br />
| Comma = yes<br />
}}<br />
<br />
'''7176/7175''', the '''kunijisma''', is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 0.24 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[276/275]] and [[287/286]]<br />
* [[288/287]] and [[300/299]]<br />
* [[351/350]] and [[369/368]]<br />
* [[575/574]] and [[625/624]]<br />
* [[780/779]] and [[875/874]]<br />
* [[897/896]] and [[1025/1024]]<br />
* [[1026/1025]] and [[1197/1196]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[7866/7865]] and [[81796/81795]]<br />
* [[8464/8463]] and [[47151/47150]]<br />
* [[8671/8670]] and [[41616/41615]]<br />
* [[10374/10373]] and [[23276/23275]]<br />
* [[10626/10625]] and [[22100/22099]]<br />
* [[11440/11439]] and [[19251/19250]]<br />
* [[12006/12005]] and [[17836/17835]]<br />
* [[12636/12635]] and [[16606/16605]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''kunijismic'''. Using the 2.3.5.7.13.23.41 subgroup leads to the rank-6 temperament '''kunijic'''.<br />
<br />
=== Kunijic ===<br />
<br />
[[Subgroup]]: 2.3.5.7.13.23.41<br />
<br />
[[Comma list]]: 7176/7175<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 2 || 3 || 4 || 5 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || -2 || ],<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]]: ~2 = 1\1, ~3/2 = 701.949, ~5/4 = 386.341, ~7/4 = 968.846, ~13/8 = 840.493, ~23/16 = 628.222<br />
<br />
{{Optimal ET sequence|legend=1| 5, 7dfim, 7, 8di, 9, 10, 12fim, 15m, 19im, 19, 26i, 27i, 31, 46, 53, 68m, 72im, 84, 121im, 130, 140, 193, 198, 224, 282, 289, 342f, 373, 441, 764, 814, 954, 1007, 1012, 1065, 1205, 1578, 2019, 3255, 4460, 6479, 10228m }}<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|7176 Kuniji}}, the asteroid, which in turn was named after Kuniji Saito, a Japanese astronomer.<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