Veederisma
| Interval information |
twenutholuluyo unison
reduced
(Shannon, [math]\sqrt{nd}[/math])
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:
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.