https://en.xen.wiki/index.php?action=history&feed=atom&title=703%2F702
703/702 - Revision history
2026-06-10T02:46:36Z
Revision history for this page on the wiki
MediaWiki 1.43.6
https://en.xen.wiki/index.php?title=703/702&diff=190864&oldid=prev
BudjarnLambeth at 03:23, 11 April 2025
2025-04-11T03:23:48Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 03:23, 11 April 2025</td>
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BudjarnLambeth
https://en.xen.wiki/index.php?title=703/702&diff=180012&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 703/702 | Name = noemisma | Color name = 37o19o3u2 <br> thisonothu 2nd | Comma = yes }} '''703/702''', the '''noemisma''', is a 37-limit su..."
2025-02-09T21:27:51Z
<p>Created page with "{{Infobox Interval | Ratio = 703/702 | Name = noemisma | Color name = 37o19o3u2 <br> thisonothu 2nd | Comma = yes }} '''703/702''', the '''noemisma''', is a <a href="/w/37-limit" title="37-limit">37-limit</a> su..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 703/702<br />
| Name = noemisma<br />
| Color name = 37o19o3u2 <br> thisonothu 2nd<br />
| Comma = yes<br />
}}<br />
<br />
'''703/702''', the '''noemisma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 2.5 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[190/189]] and [[260/259]]<br />
* [[209/208]] and [[297/296]]<br />
* [[222/221]] and [[324/323]]<br />
<br />
It can be factored into the following superparticular intervals:<br />
* [[704/703]] and [[494209/494208]]<br />
* [[729/728]] and [[19684/19683]]<br />
* [[741/740]] and [[13690/13689]]<br />
* [[760/759]] and [[9361/9360]]<br />
* [[925/924]] and [[2926/2925]]<br />
* [[1036/1035]] and [[2185/2184]]<br />
* [[1045/1044]] and [[2146/2145]]<br />
* [[1054/1053]] and [[2109/2108]]<br />
* [[1184/1183]] and [[1729/1728]]<br />
* [[1197/1196]] and [[1702/1701]]<br />
* [[1216/1215]] and [[1665/1664]]<br />
* [[1369/1368]] and [[1444/1443]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''noemismic'''. Using the 2.3.13.19.37 subgroup leads to the rank-4 temperament '''noemic'''.<br />
<br />
=== Noemic ===<br />
<br />
[[Subgroup]]: 2.3.13.19.37<br />
<br />
[[Comma list]]: 703/702<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 3 || 4 || 3 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 3 || ],<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 = 702.183, ~13/8 = 840.942, ~19/16 = 296.967<br />
<br />
{{Optimal ET sequence|legend=1| 5f, 7, 9l, 10h, 12l, 15l, 17, 22fh, 24, 51, 53, 77, 130, 234, 258, 311, 441, 675, 752l, 1116hl }}<br />
<br />
[[Badness]] (Sintel): 0.048<br />
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== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|703 Noëmi}}, the asteroid, which in turn was named after Valentine Noëmi von Rothschild, presumed wife of the Baron Sigismund von Springer. Alternatively, Noemi is a Biblical heroine from the {{W|Book of Ruth}}.<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]]<br />
[[Category:Commas named after myth or folk characters]]</div>
Francium