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4675/4674 - Revision history
2026-06-12T10:42:15Z
Revision history for this page on the wiki
MediaWiki 1.43.6
https://en.xen.wiki/index.php?title=4675/4674&diff=186313&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 4675/4674 | Name = ohbokisma | Color name = 41u19u17o1oyy1 <br> fowunusoloyoyo unison | Comma = yes }} '''4675/4674''', the '''ohbokisma''', is a..."
2025-03-15T14:33:09Z
<p>Created page with "{{Infobox Interval | Ratio = 4675/4674 | Name = ohbokisma | Color name = 41u19u17o1oyy1 <br> fowunusoloyoyo unison | Comma = yes }} '''4675/4674''', the '''ohbokisma''', is a..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 4675/4674<br />
| Name = ohbokisma<br />
| Color name = 41u19u17o1oyy1 <br> fowunusoloyoyo unison<br />
| Comma = yes<br />
}}<br />
<br />
'''4675/4674''', the '''ohbokisma''', is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 0.37 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[165/164]] and [[171/170]]<br />
* [[780/779]] and [[936/935]]<br />
* [[1600/1599]] and [[2432/2431]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[4785/4784]] and [[203320/203319]]<br />
* [[4921/4920]] and [[93500/93499]]<br />
* [[4960/4959]] and [[81345/81344]]<br />
* [[5577/5576]] and [[28900/28899]]<br />
* [[5797/5796]] and [[24150/24149]]<br />
* [[5929/5928]] and [[22100/22099]]<br />
* [[6325/6324]] and [[17918/17917]]<br />
* [[6930/6929]] and [[14365/14364]]<br />
* [[7905/7904]] and [[11440/11439]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''ohbokismic'''. Using the 2.3.5.11.17.19.41 subgroup leads to the rank-6 temperament '''ohbokic'''.<br />
<br />
=== Ohbokic ===<br />
<br />
[[Subgroup]] 2.3.5.11.17.19.41<br />
<br />
[[Comma list]]: 4675/4674<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 3 || 4 || 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]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.964, ~5/4 = 386.274, ~11/8 = 551.273, ~17/16 = 104.893, ~19/16 = 297.580<br />
<br />
{{Optimal ET sequence|legend=1| 5eghmm, 7ghm, 12e, 14cmm, 15, 15gm, 19, 22, 24, 31, 34h, 38m, 53, 56, 65m, 72m, 80, 87, 94m, 99em, 111, 118, 193, 205, 217, 255, 311, 342, 422, 460, 559, 677, 836, 1140, 1178, 1258, 1395, 1513, 2436, 2653, 3113, 3949, 4896, 6291m }}<br />
<br />
[[Badness]] (Sintel): 0.100<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|4675 Ohboke}}, which in turn was named after the Oboke Gorge in Japan.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
* [[List of superparticular intervals]]<br />
<br />
[[Category:Commas named after asteroids]]<br />
[[Category:Commas named after place names]]</div>
Francium