3510/3509 - Revision history

FloraC: + a missing pair of ratios

2025-09-17T12:39:01Z

+ a missing pair of ratios

← Older revision		Revision as of 12:39, 17 September 2025
Line 11:		Line 11:
	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]]

FloraC: FloraC moved page Veederisma to 3510/3509 over redirect: 8-digit ratios are okay as page titles

2025-01-07T14:23:35Z

FloraC moved page Veederisma to 3510/3509 over redirect: 8-digit ratios are okay as page titles

← Older revision	Revision as of 14:23, 7 January 2025
(No difference)

BudjarnLambeth at 01:52, 4 November 2024

2024-11-04T01:52:40Z

← Older revision		Revision as of 01:52, 4 November 2024
Line 76:		Line 76:

	== 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 ==
Line 83:		Line 83:

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

BudjarnLambeth at 08:35, 3 November 2024

2024-11-03T08:35:29Z

← Older revision		Revision as of 08:35, 3 November 2024
Line 81:		Line 81:
	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

			[[Category:Commas named after asteroids]]

Francium: Created page with "{{Infobox Interval | Ratio = 3510/3509 | Name = veederisma | Color name = 29u3o1uuy1
twenutholuluyo unison | Comma = yes }} '''3510/3509''', the '''veederisma''', is a [..."

2024-10-31T13:50:12Z

Created page with "{{Infobox Interval | Ratio = 3510/3509 | Name = veederisma | Color name = 29u3o1uuy1 <br> twenutholuluyo unison | Comma = yes }} '''3510/3509''', the '''veederisma''', is a [..."

New page

{{Infobox Interval
| Ratio = 3510/3509
| Name = veederisma
| Color name = 29u3o1uuy1 <br> twenutholuluyo unison
| Comma = yes
}}

'''3510/3509''', the '''veederisma''', is a [[29-limit]] [[superparticular ratio|superparticular comma]] of about 0.49 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[243/242]] and [[261/260]]
* [[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

[[Mapping]]: <br>
{| class="right-all"
| [⟨ || 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

[[Mapping]]: <br>
{| class="right-all"
| [⟨ || 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|legend=1| 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 {{W|3510 Veeder}}, the asteroid.

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

3510/3509 - Revision history

FloraC: + a missing pair of ratios

FloraC: FloraC moved page Veederisma to 3510/3509 over redirect: 8-digit ratios are okay as page titles

BudjarnLambeth at 01:52, 4 November 2024

BudjarnLambeth at 08:35, 3 November 2024

Francium: Created page with "{{Infobox Interval | Ratio = 3510/3509 | Name = veederisma | Color name = 29u3o1uuy1 twenutholuluyo unison | Comma = yes }} '''3510/3509''', the '''veederisma''', is a [..."

Francium: Created page with "{{Infobox Interval | Ratio = 3510/3509 | Name = veederisma | Color name = 29u3o1uuy1
twenutholuluyo unison | Comma = yes }} '''3510/3509''', the '''veederisma''', is a [..."