11440/11439: Difference between revisions
Created page with "{{Infobox Interval | Ratio = 11440/11439 | Name = massironisma | Color name = 41u31u3o1oy2 <br> fowuthiwutholoyo 2nd | Comma = yes }} '''11440/11439''', the '''massironisma''..." |
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[[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 | {{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 | ||
==== Music ==== | |||
* ''[https://www.youtube.com/watch?v=-L_KsVEK6kU Make It Darker]'' - [[Francium]] (2025) | |||
== Etymology == | == Etymology == | ||
Latest revision as of 17:35, 20 March 2026
| Interval information |
fowuthiwutholoyo 2nd
reduced
11440/11439, the massironisma, is a 41-limit superparticular comma of about 0.15 cents.
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
| [⟨ | 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: 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
Music
- Make It Darker - Francium (2025)
Etymology
This comma was named by Francium in 2025. It refers to 11440 Massironi, the asteroid, which in turn was named after Matteo Massironi, a professor at the University of Padova.