Francium: /* Etymology */ typo

2025-03-17T10:58:55Z

Etymology: typo

← Older revision		Revision as of 10:58, 17 March 2025
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	== Etymology ==		== Etymology ==
	This comma was named by [[Francium]] in 2025. It refers to {{W\|575 Renate}}, the asteroid. The ~~name’s~~ origin is unknown, it may be inspired by the ~~asteroid’s~~ provisional designation, containing the letters ~~“RE”~~.		This comma was named by [[Francium]] in 2025. It refers to {{W\|575 Renate}}, the asteroid. The name's origin is unknown, it may be inspired by the asteroid's provisional designation, containing the letters "RE".

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

Francium: Created page with "{{Infobox Interval | Ratio = 575/574 | Name = renatisma | Color name = 41u23oryy1
fowutwethoruyoyo unison | Comma = yes }} '''575/574''', the '''renatisma''', is a 41-..."

2025-03-17T10:58:15Z

Created page with "{{Infobox Interval | Ratio = 575/574 | Name = renatisma | Color name = 41u23oryy1 <br> fowutwethoruyoyo unison | Comma = yes }} '''575/574''', the '''renatisma''', is a 41-..."

New page

{{Infobox Interval
| Ratio = 575/574
| Name = renatisma
| Color name = 41u23oryy1 <br> fowutwethoruyoyo unison
| Comma = yes
}}

'''575/574''', the '''renatisma''', is a [[41-limit]] [[superparticular interval]] [[superparticular comma]] of about 3.0 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[165/164]] and [[231/230]]
* [[225/224]] and [[369/368]]
* [[253/252]] and [[451/450]]

It can be factored into the following superparticular ratios:
* [[576/575]] and [[330625/330624]]
* [[589/588]] and [[24150/24149]]
* [[616/615]] and [[8625/8624]]
* [[621/620]] and [[7750/7749]]
* [[625/624]] and [[7176/7175]]
* [[736/735]] and [[2625/2624]]
* [[780/779]] and [[2185/2184]]
* [[897/896]] and [[1600/1599]]
* [[925/924]] and [[1518/1517]]

== Temperaments ==
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''renatismic'''. Using the 2.5.7.23.41 subgroup leads to the rank-4 temperament '''renatic'''.

=== Renatic ===

[[Subgroup]]: 2.5.7.23.41

[[Comma list]]: 575/574

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

[[Optimal tuning]] ([[CTE]]): ~ 2 = 1\1, ~5/4 = 385.900, ~7/4 = 969.128, ~23/16 = 627.490

{{Optimal ET sequence|legend=1| 4, 6, 10m, 15m, 18im, 19, 21, 25, 31, 56, 74m, 78, 84, 109, 249, 358, 432m, 541m, 650m }}

[[Badness]] (Sintel): 0.045

== Etymology ==
This comma was named by [[Francium]] in 2025. It refers to {{W|575 Renate}}, the asteroid. The name’s origin is unknown, it may be inspired by the asteroid’s provisional designation, containing the letters “RE”.

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

[[Category:Commas named after asteroids]]
[[Category:Commas with unknown etymology]]

575/574 - Revision history

Francium: /* Etymology */ typo

Francium: Created page with "{{Infobox Interval | Ratio = 575/574 | Name = renatisma | Color name = 41u23oryy1 fowutwethoruyoyo unison | Comma = yes }} '''575/574''', the '''renatisma''', is a 41-..."

Francium: Created page with "{{Infobox Interval | Ratio = 575/574 | Name = renatisma | Color name = 41u23oryy1
fowutwethoruyoyo unison | Comma = yes }} '''575/574''', the '''renatisma''', is a 41-..."