https://en.xen.wiki/index.php?action=history&feed=atom&title=7696%2F7695
7696/7695 - Revision history
2026-06-11T02:23:26Z
Revision history for this page on the wiki
MediaWiki 1.43.6
https://en.xen.wiki/index.php?title=7696/7695&diff=176450&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 7696/7695 | Name = liebisma | Color name = s37o19u3og2 <br> sathisonuthogu 2nd | Comma = yes }} '''7696/7695''', the '''liebisma''', is a 37-li..."
2025-01-16T14:09:53Z
<p>Created page with "{{Infobox Interval | Ratio = 7696/7695 | Name = liebisma | Color name = s37o19u3og2 <br> sathisonuthogu 2nd | Comma = yes }} '''7696/7695''', the '''liebisma''', is a 37-li..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 7696/7695<br />
| Name = liebisma<br />
| Color name = s37o19u3og2 <br> sathisonuthogu 2nd<br />
| Comma = yes<br />
}}<br />
<br />
'''7696/7695''', the '''liebisma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 0.22 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[286/285]] and [[297/296]]<br />
* [[481/480]] and [[513/512]]<br />
* [[666/665]] and [[729/728]]<br />
* [[1216/1215]] and [[1444/1443]]<br />
* [[1369/1368]] and [[1665/1664]]<br />
* [[1540/1539]] and [[1925/1924]]<br />
* [[2431/2430]] and [[3553/3552]]<br />
* [[3136/3135]] and [[5292/5291]]<br />
* [[3367/3366]] and [[5985/5984]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[7936/7935]] and [[254449/254448]]<br />
* [[8281/8280]] and [[108928/108927]]<br />
* [[9361/9360]] and [[43264/43263]]<br />
* [[9802/9801]] and [[35816/35815]]<br />
* [[10693/10692]] and [[27456/27455]]<br />
* [[11914/11913]] and [[21736/21735]]<br />
* [[12376/12375]] and [[20350/20349]]<br />
* [[12636/12635]] and [[19684/19683]]<br />
* [[13312/13311]] and [[18241/18240]]<br />
* [[14365/14364]] and [[16576/16575]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 37-limit leads to the rank-11 '''liebismic'''. Using the 2.3.5.13.19.37 subgroup leads to the rank-5 temperament '''liebic'''.<br />
<br />
=== Liebic ===<br />
<br />
[[Subgroup]]: 2.3.5.13.19.37<br />
<br />
[[Comma list]]: 7696/7695<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 3 || 4 || 3 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || 4 || ],<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 = 701.977, ~5/4 = 386.325, ~13/8 = 840.498, ~19/16 = 297.552<br />
<br />
{{Optimal ET sequence|legend=1| 5, 5hl, 7fh, 7, 9l, 10, 12, 15l, 19hl, 19, 24, 29, 34, 38fl, 41l, 43, 53, 164l, 183, 205, 217l, 258, 270, 311, 354, 407, 460, 677, 730, 829, 882, 935, 1395, 1947, 2000, 2053, 2935, 2988, 3395, 3448, 5395, 5448 }}<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|7696 Liebe}}, the asteroid, which in turn was named after Bodo Liebe, a professor at the University of Siegen, Germany.<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