BudjarnLambeth at 03:22, 11 April 2025

2025-04-11T03:22:17Z

← Older revision		Revision as of 03:22, 11 April 2025
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	[[Category:Commas named after asteroids]]		[[Category:Commas named after asteroids]]
	[[Category:Commas named after ~~myth~~ or ~~folk characters~~]]		[[Category:Commas named after mythology or literature]]

Francium: Created page with "{{Infobox Interval | Ratio = 4060/4059 | Name = deipylosisma | Color name = 41u29o1uzy2
fowutwenoluzoyo 2nd | Comma = yes }} '''4060/4059''', the '''deipylosisma''', is..."

2025-03-10T10:25:26Z

Created page with "{{Infobox Interval | Ratio = 4060/4059 | Name = deipylosisma | Color name = 41u29o1uzy2 <br> fowutwenoluzoyo 2nd | Comma = yes }} '''4060/4059''', the '''deipylosisma''', is..."

New page

{{Infobox Interval
| Ratio = 4060/4059
| Name = deipylosisma
| Color name = 41u29o1uzy2 <br> fowutwenoluzoyo 2nd
| Comma = yes
}}

'''4060/4059''', the '''deipylosisma''', is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 0.43 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[232/231]] and [[246/245]]
* [[406/405]] and [[451/450]]
* [[616/615]] and [[726/725]]
* [[1189/1188]] and [[1681/1680]]
* [[1190/1189]] and [[1683/1682]]
* [[1450/1449]] and [[2255/2254]]
* [[1600/1599]] and [[2640/2639]]
* [[1805/1804]] and [[3249/3248]]

It can be factored into the following superparticular ratios:
* [[4096/4095]] and [[461825/461824]]
* [[4186/4185]] and [[134850/134849]]
* [[4200/4199]] and [[121771/121770]]
* [[4225/4224]] and [[103936/103935]]
* [[4375/4374]] and [[56376/56375]]
* [[4675/4674]] and [[30856/30855]]
* [[5104/5103]] and [[19845/19844]]
* [[6293/6292]] and [[11440/11439]]
* [[6670/6669]] and [[10374/10373]]
* [[6930/6929]] and [[9802/9801]]
* [[7105/7104]] and [[9472/9471]]

== Temperaments ==
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''deipylosismic'''. Using the 2.3.5.7.11.29.41 subgroup leads to the rank-6 temperament '''deipylosic'''.

=== Deipylosic ===

[[Subgroup]]: 2.3.5.7.11.29.41

[[Comma list]]: 4060/4059

[[Mapping]]: <br>
{| class="right-all"
|-
| [⟨ || 1 || 1 || 2 || 2 || 3 || 4 || 5 || ],
|-
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || -2 || ],
|-
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || 1 || ]]
|}

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.979, ~5/4 = 386.287, ~7/4 = 968.788, ~11/8 = 551.376, ~29/16 = 1029.462

{{Optimal ET sequence|legend=1| 5, 7djjmmm, 7dm, 8d, 8djjmm, 9j, 12de, 12, 12jm, 14cjjmm, 15, 17cm, 19m, 22, 31j, 41m, 53, 58, 72, 80, 111, 113, 118, 183m, 193, 198, 224, 270, 311, 342, 494, 612, 836, 1205, 1323, 1475m, 1619, 1699m, 1737, 1817, 3976, 4448m, 4470m, 5865m }}

[[Badness]] (Sintel): 0.111

== Etymology ==
This comma was named by [[Francium]] in 2025. It refers to {{W|4060 Deipylos}}, the asteroid, which in turn was named after Deipylos, a mythical Greek hero.

== See also ==
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]

[[Category:Commas named after asteroids]]
[[Category:Commas named after myth or folk characters]]

4060/4059 - Revision history

BudjarnLambeth at 03:22, 11 April 2025

Francium: Created page with "{{Infobox Interval | Ratio = 4060/4059 | Name = deipylosisma | Color name = 41u29o1uzy2 fowutwenoluzoyo 2nd | Comma = yes }} '''4060/4059''', the '''deipylosisma''', is..."

Francium: Created page with "{{Infobox Interval | Ratio = 4060/4059 | Name = deipylosisma | Color name = 41u29o1uzy2
fowutwenoluzoyo 2nd | Comma = yes }} '''4060/4059''', the '''deipylosisma''', is..."