3510/3509: Difference between revisions
Created page with "{{Infobox Interval | Ratio = 3510/3509 | Name = veederisma | Color name = 29u3o1uuy1 <br> twenutholuluyo unison | Comma = yes }} '''3510/3509''', the '''veederisma''', is a [..." |
m + a missing pair of ratios |
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This comma is the difference between the following superparticular pairs: | This comma is the difference between the following superparticular pairs: | ||
* [[243/242]] and [[261/260]] | * [[243/242]] and [[261/260]] | ||
* [[320/319]] and [[352/351]] | |||
* [[364/363]] and [[406/405]] | * [[364/363]] and [[406/405]] | ||
* [[540/539]] and [[638/637]] | * [[540/539]] and [[638/637]] | ||
| Line 76: | Line 77: | ||
== Etymology == | == Etymology == | ||
The veederisma was named by [[Francium]] in 2024. It refers to {{W|3510 Veeder}}, the asteroid. | The veederisma was named by [[Francium]] in 2024. It refers to {{W|3510 Veeder}}, the asteroid. Which was in turn named after an American astronomer. | ||
== See also == | == See also == | ||
* [[Unnoticeable comma]] | * [[Unnoticeable comma]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:Commas named after asteroids]] | |||
[[Category:Commas named after individuals]] | |||
Latest revision as of 12:39, 17 September 2025
| Interval information |
twenutholuluyo unison
reduced
3510/3509, the veederisma, is a 29-limit superparticular comma of about 0.49 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 243/242 and 261/260
- 320/319 and 352/351
- 364/363 and 406/405
- 540/539 and 638/637
- 936/935 and 1276/1275
It can be factored into the following superparticular commas:
- 4641/4640 and 14400/14399
- 5083/5082 and 11340/11339
- 6656/6655 and 7425/7424
Temperaments
Tempering out this comma in the full 29-limit leads to the rank-9 temperament veederismic. Using the 2.3.5.11.13.29 subgroup leads to the rank-5 temperament veederic.
Veederismic
Subgroup: 2.3.5.7.11.13.17.19.23.29
Comma list: 3510/3509
| [⟨ | 1 | 1 | 2 | 2 | 3 | 3 | 4 | 4 | 4 | 3 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | -2 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.922, ~5/4 = 386.290, ~7/4 = 968.826, ~11/8 = 551.422, ~13/8 = 840.468, ~17/16 = 104.955, ~19/16 = 297.513, ~23/16 = 628.274
Veederic
Subgroup: 2.3.5.11.13.29
Comma list: 3510/3509
| [⟨ | 1 | 1 | 2 | 3 | 3 | 3 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | 3 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 0 | -2 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | 1 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.922, ~5/4 = 386.290, ~11/8 = 551.422, ~13/8 = 840.468
Optimal ET sequence: 7fjj, 7, 14cfjj, 15f, 15jj, 16j, 17c, 22, 24, 31, 34, 41, 53j, 58, 65, 80, 87, 145j, 159, 183, 224, 270, 311, 407, 494, 901, 1395, 2296, 3749e, 4243ej, 5144ej, 6045ej, 6539ej
Etymology
The veederisma was named by Francium in 2024. It refers to 3510 Veeder, the asteroid. Which was in turn named after an American astronomer.