Francium: typo

2025-04-06T18:51:52Z

typo

← Older revision		Revision as of 18:51, 6 April 2025
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	\| Ratio = 3627/3626		\| Ratio = 3627/3626
	\| Name = sayersisma		\| Name = sayersisma
	\| ~~Comma~~ name = 37u31o3orr-3 <br> thisuthiwothoruru negative 3rd		\| Color name = 37u31o3orr-3 <br> thisuthiwothoruru negative 3rd
	\| Comma = yes		\| Comma = yes
	}}		}}

Francium: Created page with "{{Infobox Interval | Ratio = 3627/3626 | Name = sayersisma | Comma name = 37u31o3orr-3
thisuthiwothoruru negative 3rd | Comma = yes }} '''3627/3626''', the '''sayersisma''', is a 37-limit superparticular comma of about 0.48 cents. == Commatic relationships == This comma is the difference between the following superparticular pairs: * 186/185 and 196/195 * 260/259 and 280/279 * 589/588 and 703/702 * 741..."

2025-04-06T18:51:14Z

Created page with "{{Infobox Interval | Ratio = 3627/3626 | Name = sayersisma | Comma name = 37u31o3orr-3 <br> thisuthiwothoruru negative 3rd | Comma = yes }} '''3627/3626''', the '''sayersisma''', is a 37-limit superparticular comma of about 0.48 cents. == Commatic relationships == This comma is the difference between the following superparticular pairs: * 186/185 and 196/195 * 260/259 and 280/279 * 589/588 and 703/702 * 741..."

New page

{{Infobox Interval
| Ratio = 3627/3626
| Name = sayersisma
| Comma name = 37u31o3orr-3 <br> thisuthiwothoruru negative 3rd
| Comma = yes
}}

'''3627/3626''', the '''sayersisma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 0.48 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[186/185]] and [[196/195]]
* [[260/259]] and [[280/279]]
* [[589/588]] and [[703/702]]
* [[741/740]] and [[931/930]]
* [[806/805]] and [[1036/1035]]
* [[1296/1295]] and [[2016/2015]]

It can be factored into the following superparticular ratios:
* [[3774/3773]] and [[93093/93092]]
* [[4901/4900]] and [[13950/13949]]
* [[5440/5439]] and [[10881/10880]]

== Temperaments ==
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''sayersismic'''. Using the 2.3.7.13.31.37 subgroup leads to the rank-5 temperament '''sayersic'''.

=== Sayersic ===

[[Subgroup]]: 2.3.7.13.31.37

[[Comma list]]: 3627/3626

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.933, ~7/4 = 968.896, ~13/8 = 840.467, ~31/16 = 1144.926

{{Optimal ET sequence|legend=1| 5f, 7, 8d, 9kl, 10k, 12fk, 14fl, 14, 17l, 17k, 19, 26, 27, 36l, 53, 63, 67, 75, 77, 94, 130, 224, 301, 328, 383, 458, 477, 607, 1308, 1542, 1636, 2243, 5951l }}

[[Badness]] (Sintel): 0.046

== Etymology ==
This comma was named by [[Francium]] in 2025. It refers to {{W|3627 Sayers}}, the asteroid, which in turn was named after {{W|Dorothy L. Sayers}}, a British author.

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

[[Category:Commas named after asteroids]]
[[Category:Commas named after other creatives]]

3627/3626 - Revision history

Francium: typo