BudjarnLambeth: /* Volontic */ music

2025-05-19T11:54:19Z

Volontic: music

← Older revision		Revision as of 11:54, 19 May 2025
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	[[Badness]] (Sintel): 0.087		[[Badness]] (Sintel): 0.087

			==== Music ====
			* ''[https://www.youtube.com/watch?v=6eJ-F0sppBc Void Demon]'' - [[Francium]] (2025)

	== Etymology ==		== Etymology ==

Francium: Created page with "{{Infobox Interval | Ratio = 4921/4920 | Name = volontisma | Color name = 41u37o19ozg3
fowuthisonozogu 3rd | Comma = yes }} '''4921/4920''', the '''volontisma''', is a [..."

2025-03-13T10:21:42Z

Created page with "{{Infobox Interval | Ratio = 4921/4920 | Name = volontisma | Color name = 41u37o19ozg3 <br> fowuthisonozogu 3rd | Comma = yes }} '''4921/4920''', the '''volontisma''', is a [..."

New page

{{Infobox Interval
| Ratio = 4921/4920
| Name = volontisma
| Color name = 41u37o19ozg3 <br> fowuthisonozogu 3rd
| Comma = yes
}}

'''4921/4920''', the '''volontisma''', is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 0.35 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[247/246]] and [[260/259]]
* [[370/369]] and [[400/399]]
* [[616/615]] and [[704/703]]
* [[1026/1025]] and [[1296/1295]]
* [[1805/1804]] and [[2850/2849]]

It can be factored into the following superparticular ratios:
* [[5985/5984]] and [[27676/27675]]
* [[6561/6560]] and [[19684/19683]]
* [[9361/9360]] and [[10374/10373]]
* [[9472/9471]] and [[10241/10240]]

== Temperaments ==
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''volontismic'''. Using the 2.3.5.7.19.37.41 subgroup leads to the rank-6 temperament '''volontic'''.

=== Volontic ===

[[Subgroup]]: 2.3.5.7.19.37.41

[[Comma list]]: 4921/4920

[[Mapping]]: <br>
{| class="right-all"
|-
| [⟨ || 1 || 1 || 2 || 2 || 4 || 5 || 5 || ],
|-
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || -1 || ],
|-
| ⟨ || 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 = 701.965, ~5/4 = 386.335, ~7/4 = 968.795, ~19/16 = 297.442, ~37/32 = 251.238

{{Optimal ET sequence|legend=1| 5h, 7dm, 7, 8d, 8dhhmm, 9, 10m, 12l, 12m, 19hm, 19, 22, 26, 27, 41lm, 50m, 53, 80, 99m, 130, 140, 149, 152m, 171, 202, 270, 311, 460, 472, 513, 783, 1296, 1323, 1376, 1578l, 1795, 1848, 2361l, 3144l, 4007, 4209hl, 4520hl, 4619, 4992hl, 5532hl, 6315hl, 6368hl }}

[[Badness]] (Sintel): 0.087

== Etymology ==
This comma was named by [[Francium]] in 2025. It refers to {{W|4921 Volonté}}, the asteroid, which in turn was named after {{W|Gian Maria Volonté}}, an Italian actor.

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

[[Category:Commas named after asteroids]]
[[Category:Commas named after individuals]]

4921/4920 - Revision history

BudjarnLambeth: /* Volontic */ music

Francium: Created page with "{{Infobox Interval | Ratio = 4921/4920 | Name = volontisma | Color name = 41u37o19ozg3 fowuthisonozogu 3rd | Comma = yes }} '''4921/4920''', the '''volontisma''', is a [..."

Francium: Created page with "{{Infobox Interval | Ratio = 4921/4920 | Name = volontisma | Color name = 41u37o19ozg3
fowuthisonozogu 3rd | Comma = yes }} '''4921/4920''', the '''volontisma''', is a [..."