BudjarnLambeth at 01:51, 4 November 2024

2024-11-04T01:51:47Z

← Older revision		Revision as of 01:51, 4 November 2024
Line 75:		Line 75:

	== Etymology ==		== Etymology ==
	The name ''totziensisma'' was named by [[Francium]] in 2024. It refers to [[Wikipedia:19251 Totziens\|19251 Totziens]], the asteroid.		The name ''totziensisma'' was named by [[Francium]] in 2024. It refers to [[Wikipedia:19251 Totziens\|19251 Totziens]], the asteroid. The asteroid was named such because it was Dutch for 'Au revoir'; the discovery was made shortly after the 1994 IAU meeting in The Hague.

	== See also ==		== See also ==
Line 82:		Line 82:

	[[Category:Commas named after asteroids]]		[[Category:Commas named after asteroids]]
			[[Category:Commas named following events]]
			[[Category:Commas named by translating something into another language]]

BudjarnLambeth at 08:38, 3 November 2024

2024-11-03T08:38:17Z

← Older revision		Revision as of 08:38, 3 November 2024
Line 80:		Line 80:
	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

			[[Category:Commas named after asteroids]]

BudjarnLambeth: BudjarnLambeth moved page 19251/19250 to Totziensisma over redirect: Big number

2024-10-13T00:54:33Z

BudjarnLambeth moved page 19251/19250 to Totziensisma over redirect: Big number

← Older revision	Revision as of 00:54, 13 October 2024
(No difference)

Francium: Created page with "{{Infobox Interval | Ratio = 19251/19250 | Name = totziensisma | Color name = 31o23o1urg³1,
thiwotwetholurutrigu unison | Comma = yes }} '''19251/19250''', the..."

2024-10-12T18:21:25Z

Created page with "{{Infobox Interval | Ratio = 19251/19250 | Name = totziensisma | Color name = 31o23o1urg31, thiwotwetholurutrigu unison | Comma = yes }} '''19251/19250''', the..."

New page

{{Infobox Interval
| Ratio = 19251/19250
| Name = totziensisma
| Color name = 31o23o1urg31, thiwotwetholurutrigu unison
| Comma = yes
}}

'''19251/19250''', the '''totziensisma''', is a [[31-limit]] [[superparticular ratio|superparticular comma]] of about 0.09 [[cent]]s.

== Commatic relationships ==
This comma can be multiplied into the following superparticular commas:
* [[19344/19343]] and [[4004001/4004000]]
* [[22816/22815]] and [[123201/123200]]

== Temperaments ==
Tempering out this comma in the full 31-limit leads to the rank-10 temperament '''totziensismic'''. Using the 2.3.5.7.11.23.31 [[subgroup]] leads to the rank-6 temperament '''totziensmic'''.

=== Totziensismic ===

[[Subgroup]]: 2.3.5.7.11.13.17.19.23.29.31

[[Comma list]]: 19251/19250

[[Mapping]]: 
{| class="right-all"
| [⟨ || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || -3 || ],
|-
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 3 || ],
|-
| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || ]]
|}

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.950, ~5/4 = 386.324, ~7/4 = 968.831, ~11/8 = 551.326, ~13/8 = 840.528, ~17/16 = 104.955, ~19/16 = 297.513, ~23/16 = 628.261, ~29/16 = 1029.577

{{Optimal ET sequence|legend=1| 5g, 5gj, 5eghjkk, 7deefghijjkkk, 7dfghijjk, 8di, 9, 10jk, 10k, 12deh, 12de, 12fijk, 15f, 15, 19eghi, 19, 22i, 24, 26i, 27egij, 31, 34dhk, 34dhjk, 38dfij, 39dfgijk, 41g, 41, 46, 58hik, 68ej, 72k, 77k, 80k, 94jk, 99ek, 99efk, 103h, 125f, 137, 140hk, 140k, 145jk, 149, 152fgj, 159k, 183, 190g, 217, 243ek, 270, 323, 342f, 354i, 373g, 383ij, 388, 422, 525, 566gj, 571, 624jk, 639hj, 718, 742i, 863efgjk, 908, 954hj, 1205g, 1289, 1308, 1395, 1578, 1920, 2311, 2460j, 2460, 2684, 2742k, 2901, 3323, 3638i, 3696, 3809k, 3889, 3992, 4038j, 4460, 4619, 4901, 4946gij, 5144, 5395, 5809, 6349, 6893, 7315, 7361, 7847jk, 8893, 9281, 10589, 10729k }}

=== Totziensmic ===

[[Subgroup]]: 2.3.5.7.11.23.31

[[Comma list]]: 19251/19250

[[Mapping]]: 
{| class="right-all"
| [⟨ || 1 || 0 || 0 || 0 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || -3 || ],
|-
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || 3 || ],
|-
| ⟨ || 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 = 701.950, ~5/4 = 386.324, ~7/4 = 968.831, ~11/8 = 551.326, ~23/16 = 628.261

{{Optimal ET sequence|legend=1| 5, 7dik, 8di, 10k, 12de, 12ik, 15, 19ei, 19, 22i, 27ei, 31, 41, 46, 58ik, 72k, 80k, 94k, 99ek, 118k, 125, 140k, 144, 152, 183, 190, 224, 270, 342, 612, 764, 954, 1106, 1354, 1547, 1578, 1730, 1920, 2118, 2684, 4038, 5243, 5585, 8269 }}

== Etymology ==
The name ''totziensisma'' was named by [[Francium]] in 2024. It refers to [[Wikipedia:19251 Totziens|19251 Totziens]], the asteroid.

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

Totziensisma - Revision history

BudjarnLambeth at 01:51, 4 November 2024

BudjarnLambeth at 08:38, 3 November 2024

BudjarnLambeth: BudjarnLambeth moved page 19251/19250 to Totziensisma over redirect: Big number

Francium: Created page with "{{Infobox Interval | Ratio = 19251/19250 | Name = totziensisma | Color name = 31o23o1urg31, thiwotwetholurutrigu unison | Comma = yes }} '''19251/19250''', the..."

Francium: Created page with "{{Infobox Interval | Ratio = 19251/19250 | Name = totziensisma | Color name = 31o23o1urg³1,
thiwotwetholurutrigu unison | Comma = yes }} '''19251/19250''', the..."