https://en.xen.wiki/index.php?action=history&feed=atom&title=2109%2F2108
2109/2108 - Revision history
2026-06-07T14:25:20Z
Revision history for this page on the wiki
MediaWiki 1.43.6
https://en.xen.wiki/index.php?title=2109/2108&diff=187573&oldid=prev
Francium: changed category
2025-03-21T15:55:26Z
<p>changed category</p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 15:55, 21 March 2025</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l68">Line 68:</td>
<td colspan="2" class="diff-lineno">Line 68:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Commas named after asteroids]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Commas named after asteroids]]</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Commas named after <del style="font-weight: bold; text-decoration: none;">individuals</del>]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Commas named after <ins style="font-weight: bold; text-decoration: none;">other creatives</ins>]]</div></td></tr>
</table>
Francium
https://en.xen.wiki/index.php?title=2109/2108&diff=180561&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 2109/2108 | Name = dhotelisma | Color name = 37o31u19o17u2 <br> thisothiwunosu 2nd | Comma = yes }} '''2109/2108''', the '''dhotelisma''', is a [..."
2025-02-13T09:52:13Z
<p>Created page with "{{Infobox Interval | Ratio = 2109/2108 | Name = dhotelisma | Color name = 37o31u19o17u2 <br> thisothiwunosu 2nd | Comma = yes }} '''2109/2108''', the '''dhotelisma''', is a [..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 2109/2108<br />
| Name = dhotelisma<br />
| Color name = 37o31u19o17u2 <br> thisothiwunosu 2nd<br />
| Comma = yes<br />
}}<br />
<br />
'''2109/2108''', the '''dhotelisma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 0.82 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[171/170]] and [[186/185]]<br />
* [[222/221]] and [[248/247]]<br />
* [[342/341]] and [[408/407]]<br />
* [[528/527]] and [[704/703]]<br />
* [[703/702]] and [[1054/1053]]<br />
* [[851/850]] and [[1426/1425]]<br />
* [[931/930]] and [[1666/1665]]<br />
* [[962/961]] and [[1768/1767]]<br />
<br />
It can be factored into the following superparticular intervals:<br />
* [[2146/2145]] and [[122265/122264]]<br />
* [[2185/2184]] and [[60606/60605]]<br />
* [[2233/2232]] and [[37962/37961]]<br />
* [[2432/2431]] and [[15873/15872]]<br />
* [[2553/2552]] and [[12122/12121]]<br />
* [[2738/2737]] and [[9177/9176]]<br />
* [[2755/2754]] and [[8991/8990]]<br />
* [[3256/3255]] and [[5985/5984]]<br />
* [[3367/3366]] and [[5643/5642]]<br />
* [[3876/3875]] and [[4625/4624]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''dhotelismic'''. Using the 2.3.17.19.31.37 subgroup leads to the rank-5 temperament '''dhotelic'''.<br />
<br />
=== Dhotelic ===<br />
<br />
[[Subgroup]]: 2.3.17.19.31.37<br />
<br />
[[Comma list]]: 2109/2108<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 4 || 4 || 4 || 5 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || -1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || 0 || 0 || 1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 1 || 0 || -1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 0 || 1 || 1 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.932, ~17/16 = 105.110, ~19/16 = 297.346, ~31/16 = 1145.262<br />
<br />
{{Optimal ET sequence|legend=1| 5, 7ghk, 7l, 9gkl, 10k, 10h, 12l, 17l, 19, 24, 65, 75, 82, 99k, 101, 106, 130, 157, 181, 205, 231, 282, 306, 330, 388, 412, 436, 706, 937, 1118, 1142, 1554, 2491hl }}<br />
<br />
[[Badness]] (Sintel): 0.033<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|2109 Dhôtel}}, the asteroid, which in turn was named after {{W|André Dhôtel}}, a French writer.<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