BudjarnLambeth at 03:24, 11 April 2025

2025-04-11T03:24:17Z

← Older revision		Revision as of 03:24, 11 April 2025
Line 69:		Line 69:

	[[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 = 9504/9503 | Name = lionelisma | Color name = 43u17u3u1o-2
fothusuthulo negative 2nd | Comma = yes }} '''9504/9503''', the '''lionelisma''',..."

2025-02-20T12:59:21Z

Created page with "{{Infobox Interval | Ratio = 9504/9503 | Name = lionelisma | Color name = 43u17u3u1o-2 <br> fothusuthulo negative 2nd | Comma = yes }} '''9504/9503''', the '''lionelisma''',..."

New page

{{Infobox Interval
| Ratio = 9504/9503
| Name = lionelisma
| Color name = 43u17u3u1o-2 <br> fothusuthulo negative 2nd
| Comma = yes
}}

'''9504/9503''', the '''lionelisma''', is a [[43-limit]] [[superparticular interval|superparticular comma]] of about 0.18 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[216/215]] and [[221/220]]
* [[560/559]] and [[595/594]]
* [[1548/1547]] and [[1849/1848]]
* [[1936/1935]] and [[2431/2430]]
* [[2925/2924]] and [[4225/4224]]

It can be factored into the following superparticular intervals:
* [[9801/9800]] and [[313600/313599]]
* [[10450/10449]] and [[104976/104975]]
* [[10626/10625]] and [[90000/89999]]
* [[10648/10647]] and [[88452/88451]]
* [[10830/10829]] and [[77616/77615]]
* [[10880/10879]] and [[75141/75140]]
* [[11340/11339]] and [[58696/58695]]
* [[11935/11934]] and [[46656/46655]]
* [[14080/14079]] and [[29241/29240]]
* [[14400/14399]] and [[27951/27950]]
* [[14535/14534]] and [[27456/27455]]
* [[14652/14651]] and [[27048/27047]]
* [[17545/17544]] and [[20736/20735]]
* [[18792/18791]] and [[19228/19227]]

== Temperaments ==
Tempering out this comma in the full 43-limit leads to the rank-13 temperament '''lionelismic'''. Using the 2.3.11.13.17.43 subgroup leads to the rank-5 temperament '''lionelic'''.

=== Lionelic ===

[[Subgroup]]: 2.3.11.13.17.43

[[Comma list]]: 9504/9503

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.940, ~11/8 = 551.295, ~13/8 = 840.554, ~17/16 = 104.988

{{Optimal ET sequence|legend=1| 5, 5eg, 7g, 8n, 10n, 12e, 16n, 17g, 24, 34n, 46, 58, 70, 94, 113, 157, 159, 181, 183, 277, 328, 390, 511, 605, 718, 788, 1506, 1783, 1966, 2207, 2925, 2995, 3713, 3896, 4684, 6103n, 6891n, 10604fgn }}

[[Badness]] (Sintel): 0.021

== Etymology ==
This comma was named by [[Francium]] in 2025. It refers to {{W|9504 Lionel}}, the asteroid, which in turn was named after {{W|Sir Lionel}}, a legendary knight of the {{W|Round Table}}.

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

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

9504/9503 - Revision history

BudjarnLambeth at 03:24, 11 April 2025

Francium: Created page with "{{Infobox Interval | Ratio = 9504/9503 | Name = lionelisma | Color name = 43u17u3u1o-2 fothusuthulo negative 2nd | Comma = yes }} '''9504/9503''', the '''lionelisma''',..."

Francium: Created page with "{{Infobox Interval | Ratio = 9504/9503 | Name = lionelisma | Color name = 43u17u3u1o-2
fothusuthulo negative 2nd | Comma = yes }} '''9504/9503''', the '''lionelisma''',..."