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6930/6929 - Revision history
2026-06-11T02:22:52Z
Revision history for this page on the wiki
MediaWiki 1.43.6
https://en.xen.wiki/index.php?title=6930/6929&diff=184668&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 6930/6929 | Name = bedanisma | Color name = 41u3uu1ozy1 <br> fowuthuthulozoyo unison | Comma = yes }} '''6930/6929''', the '''bedanisma''', is a..."
2025-03-05T13:31:55Z
<p>Created page with "{{Infobox Interval | Ratio = 6930/6929 | Name = bedanisma | Color name = 41u3uu1ozy1 <br> fowuthuthulozoyo unison | Comma = yes }} '''6930/6929''', the '''bedanisma''', is a..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 6930/6929<br />
| Name = bedanisma<br />
| Color name = 41u3uu1ozy1 <br> fowuthuthulozoyo unison<br />
| Comma = yes<br />
}}<br />
<br />
'''6930/6929''', the '''bedanisma''', is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 0.25 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[165/164]] and [[169/168]]<br />
* [[616/615]] and [[676/675]]<br />
* [[1353/1352]] and [[1681/1680]]<br />
* [[1600/1599]] and [[2080/2079]]<br />
* [[2625/2624]] and [[4225/4224]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[7176/7175]] and [[202125/202124]]<br />
* [[7425/7424]] and [[103936/103935]]<br />
* [[10648/10647]] and [[19845/19844]]<br />
* [[11440/11439]] and [[17577/17576]]<br />
* [[11935/11934]] and [[16524/16523]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''bedanismic'''. Using the 2.3.5.7.11.13.41 subgroup leads to the rank-6 temperament '''bedanic'''.<br />
<br />
=== Bedanic ===<br />
<br />
[[Subgroup]]: 2.3.5.7.11.13.41<br />
<br />
[[Comma list]]: 6930/6929<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 2 || 3 || 3 || 4 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 2 || ],<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 || -2 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.944, ~5/4 = 386.302, ~7/4 = 968.809, ~11/8 = 551.293, ~13/8 = 840.585<br />
<br />
{{Optimal ET sequence|legend=1| 5e, 7m, 8dmm, 9, 10, 12f, 14cf, 15, 16m, 17cm, 19em, 24m, 24d, 26, 29, 34dm, 38dfm, 41m, 45efmm, 46m, 49f, 53, 58, 72, 87, 111, 121m, 130m, 140, 183m, 190m, 198, 224, 270, 311, 373, 422, 441, 460, 494, 684m, 805, 814, 954, 1178, 1236, 1506m, 1730, 1817, 2190, 4007, 5185, 6110, 6197, 6691m, 8881m }}<br />
<br />
[[Badness]] (Sintel): 0.191<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to the postal code of {{W|Bedano}}, Switzerland.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
* [[List of superparticular intervals]]<br />
<br />
[[Category:Commas named after place names]]</div>
Francium