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3367/3366 - Revision history
2026-06-13T04:34:17Z
Revision history for this page on the wiki
MediaWiki 1.43.6
https://en.xen.wiki/index.php?title=3367/3366&diff=176649&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 3367/3366 | Name = alexisma | Color name = 37o17u3o1uz2 <br> thisosutholuzo 2nd | Comma = yes }} '''3367/3366''', the '''alexisma''', is a 37-l..."
2025-01-17T11:53:10Z
<p>Created page with "{{Infobox Interval | Ratio = 3367/3366 | Name = alexisma | Color name = 37o17u3o1uz2 <br> thisosutholuzo 2nd | Comma = yes }} '''3367/3366''', the '''alexisma''', is a 37-l..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 3367/3366<br />
| Name = alexisma<br />
| Color name = 37o17u3o1uz2 <br> thisosutholuzo 2nd<br />
| Comma = yes<br />
}}<br />
<br />
'''3367/3366''', the '''alexisma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 0.51 [[cent]]s.<br />
<br />
=== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[273/272]] and [[297/296]]<br />
* [[364/363]] and [[408/407]]<br />
* [[481/480]] and [[561/560]]<br />
* [[925/924]] and [[1275/1274]]<br />
* [[936/935]] and [[1296/1295]]<br />
* [[1225/1224]] and [[1925/1924]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[3381/3380]] and [[812890/812889]]<br />
* [[3510/3509]] and [[82621/82620]]<br />
* [[3520/3519]] and [[77441/77440]]<br />
* [[3565/3564]] and [[60606/60605]]<br />
* [[3626/3625]] and [[47125/47124]]<br />
* [[3774/3773]] and [[31213/31212]]<br />
* [[4186/4185]] and [[17205/17204]]<br />
* [[4225/4224]] and [[16576/16575]]<br />
* [[4625/4624]] and [[12376/12375]]<br />
* [[4693/4692]] and [[11914/11913]]<br />
* [[4914/4913]] and [[10693/10692]]<br />
* [[5985/5984]] and [[7696/7695]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''alexismic'''. Using the 2.3.7.11.13.17.37 subgroup leads to the rank-6 temperament '''alexic'''.<br />
<br />
=== Alexic ===<br />
<br />
[[Subgroup]]: 2.3.7.11.13.17.37<br />
<br />
[[Comma list]]: 3367/3366<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 3 || 3 || 4 || 5 || ],<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 = 701.985, ~7/4 = 968.780, ~11/8 = 551.388, ~13/8 = 840.447, ~17/16 = 105.054<br />
<br />
{{Optimal ET sequence|legend=1| 5f, 7dg, 7, 8d, 9gl, 10e, 10l, 12el, 12fg, 14fggl, 14f, 15, 17l, 17g, 24, 26, 32f, 36el, 41, 46, 58, 67, 72, 104, 121l, 140, 147, 149, 157, 171, 181, 207, 311, 328, 400, 477, 535, 607, 788, 935, 971, 1188, 1371, 1395, 1759, 2159, 2366l, 4525l }}<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|3367 Alex}}, the asteroid, which in turn was named after the grandson of the discoverer.<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