11440/11439 - Revision history

Overthink: /* Massironic */ fix error

2026-03-20T17:35:52Z

Massironic: fix error

← Older revision		Revision as of 17:35, 20 March 2026
Line 55:		Line 55:
	[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.963, ~5/4 = 386.305, ~11/8 = 551.299, ~13/8 = 840.506, ~31/16 = 1145.075		[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.963, ~5/4 = 386.305, ~11/8 = 551.299, ~13/8 = 840.506, ~31/16 = 1145.075

	{{Optimal ET sequence\|legend=1\| 5, 7fkm, 7m, 8, 9, 10ekm, 10k, 12e, 12fkm, 15m, 19em, 19, 24, 31, 34k, 38fm, 41, 46, 53k, 58k, 79, 87, 183, 190, 217, 224, 277, 335, 422, 441, 528, 566. 590, 612, 677, 954, 1178, 1289, 1395, 1730, 1817, 2277, 2407, 2494, 3448, 3672, 4349, 5178m, 5855m, 5942, 6079, 6166, 6843, 8132, 9527m }}		{{Optimal ET sequence\|legend=1\| 5, 7fkm, 7m, 8, 9, 10ekm, 10k, 12e, 12fkm, 15m, 19em, 19, 24, 31, 34k, 38fm, 41, 46, 53k, 58k, 79, 87, 183, 190, 217, 224, 277, 335, 422, 441, 528, 566, 590, 612, 677, 954, 1178, 1289, 1395, 1730, 1817, 2277, 2407, 2494, 3448, 3672, 4349, 5178m, 5855m, 5942, 6079, 6166, 6843, 8132, 9527m }}

	[[Badness]] (Sintel): 0.051		[[Badness]] (Sintel): 0.051

BudjarnLambeth: /* Massironic */ add music section

2025-05-19T11:51:27Z

Massironic: add music section

← Older revision		Revision as of 11:51, 19 May 2025
Line 58:		Line 58:

	[[Badness]] (Sintel): 0.051		[[Badness]] (Sintel): 0.051

			==== Music ====
			* ''[https://www.youtube.com/watch?v=-L_KsVEK6kU Make It Darker]'' - [[Francium]] (2025)

	== Etymology ==		== Etymology ==

Francium: Created page with "{{Infobox Interval | Ratio = 11440/11439 | Name = massironisma | Color name = 41u31u3o1oy2
fowuthiwutholoyo 2nd | Comma = yes }} '''11440/11439''', the '''massironisma''..."

2025-03-19T12:16:03Z

Created page with "{{Infobox Interval | Ratio = 11440/11439 | Name = massironisma | Color name = 41u31u3o1oy2 <br> fowuthiwutholoyo 2nd | Comma = yes }} '''11440/11439''', the '''massironisma''..."

New page

{{Infobox Interval
| Ratio = 11440/11439
| Name = massironisma
| Color name = 41u31u3o1oy2 <br> fowuthiwutholoyo 2nd
| Comma = yes
}}

'''11440/11439''', the '''massironisma''', is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 0.15 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[280/279]] and [[287/286]]
* [[616/615]] and [[616/615]]
* [[780/779]] and [[837/836]]
* [[1600/1599]] and [[1860/1859]]
* [[4060/4059]] and [[6293/6292]]
* [[4675/4674]] and [[7905/7904]]

It can be factored into the following superparticular ratios:
* [[11935/11934]] and [[275808/275807]]
* [[12376/12375]] and [[151250/151249]]
* [[13312/13311]] and [[81345/81344]]
* [[13455/13454]] and [[76384/76383]]
* [[14080/14079]] and [[61009/61008]]
* [[16524/16523]] and [[37180/37179]]
* [[17836/17835]] and [[31900/31899]]
* [[21736/21735]] and [[24150/24149]]
* [[22100/22099]] and [[23716/23715]]

== Temperaments ==
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''massironismic'''. Using the 2.3.5.11.13.31.41 subgroup leads to the rank-6 temperament '''massironic'''.

=== Massironic ===

[[Subgroup]]: 2.3.5.11.13.31.41

[[Comma list]]: 11440/11439

[[Mapping]]: <br>
{| class="right-all"
|-
| [⟨ || 1 || 1 || 2 || 3 || 3 || 4 || 6 || ],
|-
| ⟨ || 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 = 701.963, ~5/4 = 386.305, ~11/8 = 551.299, ~13/8 = 840.506, ~31/16 = 1145.075

{{Optimal ET sequence|legend=1| 5, 7fkm, 7m, 8, 9, 10ekm, 10k, 12e, 12fkm, 15m, 19em, 19, 24, 31, 34k, 38fm, 41, 46, 53k, 58k, 79, 87, 183, 190, 217, 224, 277, 335, 422, 441, 528, 566. 590, 612, 677, 954, 1178, 1289, 1395, 1730, 1817, 2277, 2407, 2494, 3448, 3672, 4349, 5178m, 5855m, 5942, 6079, 6166, 6843, 8132, 9527m }}

[[Badness]] (Sintel): 0.051

== Etymology ==
This comma was named by [[Francium]] in 2025. It refers to {{W|11440 Massironi}}, the asteroid, which in turn was named after Matteo Massironi, a professor at the University of Padova.

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

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

11440/11439 - Revision history

Overthink: /* Massironic */ fix error

BudjarnLambeth: /* Massironic */ add music section

Francium: Created page with "{{Infobox Interval | Ratio = 11440/11439 | Name = massironisma | Color name = 41u31u3o1oy2 fowuthiwutholoyo 2nd | Comma = yes }} '''11440/11439''', the '''massironisma''..."

Francium: Created page with "{{Infobox Interval | Ratio = 11440/11439 | Name = massironisma | Color name = 41u31u3o1oy2
fowuthiwutholoyo 2nd | Comma = yes }} '''11440/11439''', the '''massironisma''..."