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76384/76383 - Revision history
2026-06-29T07:40:01Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=76384/76383&diff=186974&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 76384/76383 | Name = vernonisma | Color name = 41u31o23u1oz1 <br> fowuthiwotwethulozo unison | Comma = yes }} '''76384/76383''', the '''vernonism..."
2025-03-18T19:32:18Z
<p>Created page with "{{Infobox Interval | Ratio = 76384/76383 | Name = vernonisma | Color name = 41u31o23u1oz1 <br> fowuthiwotwethulozo unison | Comma = yes }} '''76384/76383''', the '''vernonism..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 76384/76383<br />
| Name = vernonisma<br />
| Color name = 41u31o23u1oz1 <br> fowuthiwotwethulozo unison<br />
| Comma = yes<br />
}}<br />
<br />
'''76384/76383''', the '''vernonisma''', is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 0.023 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[616/615]] and [[621/620]]<br />
* [[3773/3772]] and [[3969/3968]]<br />
* [[7750/7749]] and [[8625/8624]]<br />
* [[15376/15375]] and [[19251/19250]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[76545/76544]] and [[36315136/36315135]]<br />
* [[134850/134849]] and [[176176/176175]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''vernonismic'''. Using the 2.3.7.11.23.31.41 subgroup leads to the rank-6 temperament '''vernonic'''.<br />
<br />
=== Vernonic ===<br />
<br />
[[Subgroup]]: 2.3.7.11.23.31.41<br />
<br />
[[Comma list]]: 76384/76383<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 3 || 4 || 4 || 6 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || -4 || ],<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 = 701.957, ~7/4 = 968.825, ~11/8 = 551.316, ~23/16 = 628.278, ~31/16 = 1145.031<br />
<br />
{{Optimal ET sequence|legend=1| 5ikm, 5i, 5e, 7dikm, 7, 9k, 10, 12ikm, 14, 17, 27e, 29, 31k, 41, 46, 58ik, 72, 77m, 89, 130m, 135, 166, 176, 265, 342, 518, 607, 701, 747, 836, 940, 954, 1012, 1219, 1354, 1776, 1983, 2248, 2819, 2995, 3337, 4366, 5067, 5585, 7185, 7361, 8404 }}<br />
<br />
[[Badness]] (Sintel): 0.082<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to the postal code of {{W|Vernon, Texas}}.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
* [[List of superparticular intervals]]<br />
<br />
[[Category:Commas named after place names]]</div>
Francium