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666/665 - Revision history
2026-06-07T17:41:09Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=666/665&diff=186683&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 666/665 | Name = beastisma | Color name = 37o19urg1 <br> thisonurugu unison | Comma = yes }} '''666/665''', the '''beastisma''', is a [[37-limit]..."
2025-03-17T22:27:52Z
<p>Created page with "{{Infobox Interval | Ratio = 666/665 | Name = beastisma | Color name = 37o19urg1 <br> thisonurugu unison | Comma = yes }} '''666/665''', the '''beastisma''', is a [[37-limit]..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 666/665<br />
| Name = beastisma<br />
| Color name = 37o19urg1 <br> thisonurugu unison<br />
| Comma = yes<br />
}}<br />
<br />
'''666/665''', the '''beastisma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 2.6 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[36/35]] and [[38/37]]<br />
* [[96/95]] and [[112/111]]<br />
* [[111/110]] and [[133/132]]<br />
* [[148/147]] and [[190/189]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[676/675]] and [[44955/44954]]<br />
* [[704/703]] and [[12321/12320]]<br />
* [[729/728]] and [[7696/7695]]<br />
* [[736/735]] and [[6993/6992]]<br />
* [[837/836]] and [[3256/3255]]<br />
* [[851/850]] and [[3060/3059]]<br />
* [[925/924]] and [[2376/2375]]<br />
* [[1036/1035]] and [[1863/1862]]<br />
* [[1184/1183]] and [[1521/1520]]<br />
* [[1296/1295]] and [[1369/1368]]<br />
* [[1331/1330]] and [[1332/1331]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''beastismic'''. Using the 2.3.5.7.19.37 subgroup leads to the rank-5 temperament '''beastic'''.<br />
<br />
=== Beastic ===<br />
<br />
[[Subgroup]]: 2.3.5.7.19.37<br />
<br />
[[Comma list]]: 666/665<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 2 || 4 || 5 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || -2 || ],<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 = 701.764, ~5/4 = 386.518, ~7/4 = 969.125, ~19/16 = 298.198<br />
<br />
{{Optimal ET sequence|legend=1| 5, 7dhll, 7d, 7l, 8d, 8dhhll, 9, 10h, 12, 19hl, 19, 22h, 26, 27, 41l, 50, 53, 72, 99, 130, 152, 202, 282, 301, 354, 583, 624l, 937dh }}<br />
<br />
[[Badness]] (Sintel): 0.156<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. 666 is referred as the number of the Beast.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
* [[List of superparticular intervals]]<br />
<br />
[[Category:Commas referencing a famous use of a number]]</div>
Francium