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1026/1025 - Revision history
2026-07-02T09:27:28Z
Revision history for this page on the wiki
MediaWiki 1.43.6
https://en.xen.wiki/index.php?title=1026/1025&diff=185004&oldid=prev
Francium: +categories
2025-03-07T13:01:52Z
<p>+categories</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 13:01, 7 March 2025</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Unnoticeable comma]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Unnoticeable comma]]</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[List of superparticular intervals]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[List of superparticular intervals]]</div></td></tr>
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Francium
https://en.xen.wiki/index.php?title=1026/1025&diff=184999&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 1026/1025 | Name = ingridisma | Color name = 41u19ogg2 <br> fowunogugu 2nd | Comma = yes }} '''1026/1025''', the '''ingridisma''', is a 41-limi..."
2025-03-07T12:44:53Z
<p>Created page with "{{Infobox Interval | Ratio = 1026/1025 | Name = ingridisma | Color name = 41u19ogg2 <br> fowunogugu 2nd | Comma = yes }} '''1026/1025''', the '''ingridisma''', is a 41-limi..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 1026/1025<br />
| Name = ingridisma<br />
| Color name = 41u19ogg2 <br> fowunogugu 2nd<br />
| Comma = yes<br />
}}<br />
<br />
'''1026/1025''', the '''ingridisma''', is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 1.7 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[76/75]] and [[82/81]]<br />
* [[171/170]] and [[205/204]]<br />
* [[288/287]] and [[400/399]]<br />
* [[513/512]] and [[1025/1024]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[1036/1035]] and [[106191/106190]]<br />
* [[1045/1044]] and [[56376/56375]]<br />
* [[1197/1196]] and [[7176/7175]]<br />
* [[1216/1215]] and [[6561/6560]]<br />
* [[1296/1295]] and [[4921/4920]]<br />
* [[1395/1394]] and [[3876/3875]]<br />
* [[1596/1595]] and [[2871/2870]]<br />
* [[1701/1700]] and [[2584/2583]]<br />
* [[1805/1804]] and [[2376/2375]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''ingridismic'''. Using the 2.3.5.19.41 subgroup leads to the rank-4 temperament '''ingridic'''.<br />
<br />
=== Ingridic ===<br />
<br />
[[Subgroup]]: 2.3.5.19.41<br />
<br />
[[Comma list]]: 1026/1025<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 4 || 4 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 3 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || 0 || -2 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 1 || 1 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.815, ~5/4 = 386.514, ~19/16 = 297.178<br />
<br />
{{Optimal ET sequence|legend=1| 5h, 7hm, 12, 19, 26, 27, 31, 38m, 41, 46hm, 53, 118, 164, 171, 202, 217, 270, 335, 472, 525, 590, 807 }}<br />
<br />
[[Badness]] (Sintel): 0.063<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|1026 Ingrid}}, which in turn was named after a niece of German astronomer Albrecht Kahrstedt.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
* [[List of superparticular intervals]]</div>
Francium