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5720/5719 - Revision history
2026-06-11T11:26:34Z
Revision history for this page on the wiki
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Francium: Created page with "{{Infobox Interval | Ratio = 5720/5719 | Name = halweaverisma | Color name = 43u19u3o1ory-2 <br> fothunutholoruyo negative 2nd | Comma = yes }} '''5720/5719''', the '''halwea..."
2025-02-23T20:25:20Z
<p>Created page with "{{Infobox Interval | Ratio = 5720/5719 | Name = halweaverisma | Color name = 43u19u3o1ory-2 <br> fothunutholoruyo negative 2nd | Comma = yes }} '''5720/5719''', the '''halwea..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 5720/5719<br />
| Name = halweaverisma<br />
| Color name = 43u19u3o1ory-2 <br> fothunutholoruyo negative 2nd<br />
| Comma = yes<br />
}}<br />
<br />
'''5720/5719''', the '''halweaverisma''', is a [[43-limit]] [[superparticular interval|superparticular comma]] of about 0.30 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[130/129]] and [[133/132]]<br />
* [[286/285]] and [[301/300]]<br />
* [[400/399]] and [[430/429]]<br />
* [[1936/1935]] and [[2926/2925]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[5776/5775]] and [[589875/589874]]<br />
* [[5797/5796]] and [[430560/430559]]<br />
* [[5929/5928]] and [[162240/162239]]<br />
* [[6138/6137]] and [[83980/83979]]<br />
* [[6175/6174]] and [[77616/77615]]<br />
* [[6480/6479]] and [[48763/48762]]<br />
* [[7225/7224]] and [[27456/27455]]<br />
* [[7696/7695]] and [[22275/22274]]<br />
* [[9504/9503]] and [[14365/14364]]<br />
* [[9633/9632]] and [[14080/14079]]<br />
* [[10450/10449]] and [[12636/12635]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 43-limit leads to the rank-13 temperament '''halweaverismic'''. Using the 2.5.7.11.13.19.43 subgroup leads to the rank-6 temperament '''halweaveric'''.<br />
<br />
=== Halwearic ===<br />
<br />
[[Subgroup]]: 2.5.7.11.13.19.43<br />
<br />
[[Comma list]]: 5720/5719<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 2 || 2 || 3 || 3 || 4 || 5 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 1 || ],<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, ~5/4 = 386.295, ~7/4 = 968.854, ~11/8 = 551.276, ~13/8 = 840.480, ~19/16 = 297.576<br />
<br />
{{Optimal ET sequence|legend=1| 4, 5ehn, 6en, 6, 6fh, 8cefh, 8dn, 9, 12fn, 14cfn, 15f, 15n, 18eh, 20n, 21h, 22, 25fn, 27e, 28, 29, 31, 37, 66, 84, 93, 103h, 109, 124, 161, 233, 270, 488, 515, 581, 690, 758, 851, 1273, 1339, 1448, 1609, 1693, 1963, 2814, 3302, 3572, 4299, 5265hn, 5992n, 7601hn, 9564hnn }}<br />
<br />
[[Badness]] (Sintel): 0.043<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|5720 Halweaver}}, the asteroid, which in turn was named after {{W|Harold Anthony Weaver}}, an American astronomer.<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