BudjarnLambeth: /* Etymology */

2024-11-04T01:40:25Z

Etymology

← Older revision		Revision as of 01:40, 4 November 2024
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	== Etymology ==		== Etymology ==
	The name ''etampesisma'' was named by [[Francium]] in 2024. It refers to [[Wikipedia:10374 Etampes\|10374 Etampes]], the asteroid. Which is in turn named after a location near Paris, France.		The name ''etampesisma'' was named by [[Francium]] in 2024. It refers to [[Wikipedia:10374 Etampes\|10374 Etampes]], the asteroid. Which was in turn named after a location near Paris, France.

	== See also ==		== See also ==

BudjarnLambeth at 01:40, 4 November 2024

2024-11-04T01:40:11Z

← Older revision		Revision as of 01:40, 4 November 2024
Line 87:		Line 87:

	== Etymology ==		== Etymology ==
	The name ''etampesisma'' was named by [[Francium]] in 2024. It refers to [[Wikipedia:10374 Etampes\|10374 Etampes]], the asteroid.		The name ''etampesisma'' was named by [[Francium]] in 2024. It refers to [[Wikipedia:10374 Etampes\|10374 Etampes]], the asteroid. Which is in turn named after a location near Paris, France.

	== See also ==		== See also ==
Line 94:		Line 94:

	[[Category:Commas named after asteroids]]		[[Category:Commas named after asteroids]]
			[[Category:Commas named after place names]]

BudjarnLambeth at 08:38, 3 November 2024

2024-11-03T08:38:45Z

← Older revision		Revision as of 08:38, 3 November 2024
Line 92:		Line 92:
	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

			[[Category:Commas named after asteroids]]

Francium: Created page with "{{Infobox Interval | Ratio = 10374/10373 | Name = etampesisma | Color name = 41u23u19o3o1uz2
fowutwethunotholuzo 2nd | Comma = yes }} '''10374/10373''', the '''etampesis..."

2024-10-16T12:13:02Z

Created page with "{{Infobox Interval | Ratio = 10374/10373 | Name = etampesisma | Color name = 41u23u19o3o1uz2 <br> fowutwethunotholuzo 2nd | Comma = yes }} '''10374/10373''', the '''etampesis..."

New page

{{Infobox Interval
| Ratio = 10374/10373
| Name = etampesisma
| Color name = 41u23u19o3o1uz2 <br> fowutwethunotholuzo 2nd
| Comma = yes
}}

'''10374/10373''', the '''etampesisma''', is a [[41-limit]] [[superparticular ratio|superparticular comma]] of about 0.17 [[cent]]s.

== Commatic relations ==
This comma can be factored in following superparticular ratios:
* [[11271/11270]] and [[130340/130339]]
* [[11340/11339]] and [[121771/121770]]
* [[12168/12167]] and [[70357/70356]]
* [[12376/12375]] and [[64125/64124]]
* [[13377/13376]] and [[46208/46207]]
* [[17836/17835]] and [[24795/24794]]
* [[19551/19550]] and [[22100/22099]]
* [[19845/19844]] and [[21736/21735]]

== Temperaments ==
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''etampesismic'''. Using the 2.3.7.11.13.19.23.41 subgroup leads to the rank-7 temperament '''etampesic'''.

=== Etampesismic ===

[[Subgroup]]: 2.3.5.7.11.13.17.19.23.29.31.37.41

[[Comma list]]: 10374/10373

[[Mapping]]: <br>
{| class="right-all"
| [⟨ || 1 || 1 || 2 || 2 || 3 || 3 || 4 || 4 || 4 || 4 || 4 || 5 || 4 || ],
|-
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || ]]
|}

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.951, ~5/4 = 386.314, ~7/4 = 968.813, ~11/8 = 551.337, ~13/8 = 840.506, ~17/16 = 104.955, ~19/16 = 297.484, ~23/16 = 628.307, ~29/16 = 1029.577, ~31/16 = 1145.036, ~37/32 = 251.344

{{Optimal ET sequence|legend=1| 5, 5g, 5eghj, 5eghjl, 6fhijlm, 7dfghijjkllmmm, 7dghijjkm, 7dghikm, 7l, 8di, 9gijkl, 10jkm, 10h, 12del, 12l, 12fkm, 12fjkm, 14cfggjjkklmm, 14cfjjkklmm, 14cfjjlmm, 15m, 15km, 15gkm, 15gklm, 17cg, 17cgk, 17cghkm, 18ehijkm, 19eghlm, 19eghm, 21m, 22il, 22i, 22h, 24d, 26ik, 29gjk, 29gk, 34dhkm, 34dhjkm, 34dhjklm, 38dfijkklm, 38dfijlm, 39dfgijklmm, 41, 43, 46l, 46, 50jkm, 50km, 53gk, 53k, 53, 53j, 58hik, 58hikl, 60ehl, 62, 72hijkllm, 72hijkm, 77, 80, 80k, 99efkm, , 121hhiklm, 130j, 137, 140hk, 145jkl, 149, 166gl, 181, 183k, 183, 190gl, 193, 193l, 198l, 198gl, 224h, 236dghi, 239, 243e, 248h, 270, 282, 311k, 311, 388, 431, 436, 472, 486gjklm, 487, 525, 540, 566gjl, 624jk, 639hjm, 653, 692ikm, 718, 764, 764j, 814k, 814, 863efgjk, 954hjl, 1012, 1147i, 1164fim, 1178, … }}

=== Etampesic ===

[[Subgroup]]: 2.3.7.11.13.19.23.41

[[Comma list]]: 10374/10373

[[Mapping]]: <br>
{| class="right-all"
| [⟨ || 1 || 1 || 2 || 3 || 3 || 4 || 4 || 4 || ],
|-
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 1 || -1 || ]]
|}

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.951, ~7/4 = 968.813, ~11/8 = 551.337, ~13/8 = 840.506, ~19/16 = 297.484, ~23/16 = 628.307

{{Optimal ET sequence|legend=1| 5fi, 5, 7dhim, 7, 8dhhimm, 9i, 14fmm, 15m, 17, 26i, 29, 36e, 41, 46, 53, 55fhim, 58hi, 63, 80, 94, 104i, 113, 152fm, 166, 207, 265, 311, 373, 431, 477m, 494h, 518, 540, 549f, 566, 581, 684hm, 701, 747, 1012, 1759, 2383, 2477, 2590, 3602, 6079, 7951, 8669, 9681m }}

== Etymology ==
The name ''etampesisma'' was named by [[Francium]] in 2024. It refers to [[Wikipedia:10374 Etampes|10374 Etampes]], the asteroid.

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

Etampesisma - Revision history

BudjarnLambeth: /* Etymology */

BudjarnLambeth at 01:40, 4 November 2024

BudjarnLambeth at 08:38, 3 November 2024

Francium: Created page with "{{Infobox Interval | Ratio = 10374/10373 | Name = etampesisma | Color name = 41u23u19o3o1uz2 fowutwethunotholuzo 2nd | Comma = yes }} '''10374/10373''', the '''etampesis..."

Francium: Created page with "{{Infobox Interval | Ratio = 10374/10373 | Name = etampesisma | Color name = 41u23u19o3o1uz2
fowutwethunotholuzo 2nd | Comma = yes }} '''10374/10373''', the '''etampesis..."