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1702/1701 - Revision history
2026-06-28T18:33:01Z
Revision history for this page on the wiki
MediaWiki 1.43.6
https://en.xen.wiki/index.php?title=1702/1701&diff=180614&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 1702/1701 | Name = kalaharisma | Color name = s37o23or2 <br> sathisotwethoru 2nd | Comma = yes }} '''1702/1701''', the '''kalaharisma''', is a ..."
2025-02-13T20:52:47Z
<p>Created page with "{{Infobox Interval | Ratio = 1702/1701 | Name = kalaharisma | Color name = s37o23or2 <br> sathisotwethoru 2nd | Comma = yes }} '''1702/1701''', the '''kalaharisma''', is a ..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 1702/1701<br />
| Name = kalaharisma<br />
| Color name = s37o23or2 <br> sathisotwethoru 2nd<br />
| Comma = yes<br />
}}<br />
<br />
'''1702/1701''', the '''kalaharisma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 1.02 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[148/147]] and [[162/161]]<br />
* [[253/252]] and [[297/296]]<br />
* [[703/702]] and [[1197/1196]]<br />
* [[736/735]] and [[1296/1295]]<br />
<br />
It can be factored into the following superparticular intervals:<br />
* [[1716/1715]] and [[208495/208494]]<br />
* [[1729/1728]] and [[108928/108927]]<br />
* [[1863/1862]] and [[19684/19683]]<br />
* [[2024/2023]] and [[10693/10692]]<br />
* [[2080/2079]] and [[9361/9360]]<br />
* [[2185/2184]] and [[7696/7695]]<br />
* [[2553/2552]] and [[5104/5103]]<br />
* [[3256/3255]] and [[3565/3564]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''kalaharismic'''. Using the 2.3.7.23.37 subgroup leads to the rank-4 temperament '''kalaharic'''.<br />
<br />
=== Kalaharic ===<br />
<br />
[[Subgroup]]: 2.3.7.23.37<br />
<br />
[[Comma list]]: 1702/1701<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 4 || 2 || ],<br />
|-<br />
| [⟨ || 0 || 1 || 0 || 0 || 5 || ],<br />
|-<br />
| [⟨ || 0 || 0 || 1 || 0 || 1 || ],<br />
|-<br />
| [⟨ || 0 || 0 || 0 || 1 || -1 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.063, ~7/4 = 968.894, ~23/16 = 628.098<br />
<br />
{{Optimal ET sequence|legend=1| 5, 9il, 12, 14l, 17, 22, 31, 46, 48, 53, 77, 99, 130, 176, 207, 229, 306, 535, 1381, 1610, 1687, 1817l, 1916, 2451, 2986 }}<br />
<br />
[[Badness]] (Sintel): 0.051<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|1702 Kalahari}}, the asteroid, which in turn was named after the {{W|Kalahari Desert}}.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
* [[List of superparticular intervals]]<br />
<br />
[[Category:Commas named after asteroids]]<br />
[[Category:Commas named after place names]]</div>
Francium