BudjarnLambeth at 03:20, 11 April 2025

2025-04-11T03:20:13Z

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	[[Category:Commas named after asteroids]]		[[Category:Commas named after asteroids]]
	[[Category:Commas named after ~~myth~~ or ~~folk characters~~]]		[[Category:Commas named after mythology or literature]]

FloraC: -typo

2025-02-18T09:12:40Z

-typo

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	'''~~1884~~/~~1883~~''', the '''gaeisma''', is a [[37-limit]] [[superparticular interval\|superparticular comma]] of about 1.5 [[cent]]s.		'''1184/1183''', the '''gaeisma''', is a [[37-limit]] [[superparticular interval\|superparticular comma]] of about 1.5 [[cent]]s.

	== Commatic relationships ==		== Commatic relationships ==

Francium: Created page with "{{Infobox Interval | Ratio = 1184/1183 | Name = gaeisma | Color name = 37o3uur1
thisothuthuru unison | Comma = yes }} '''1884/1883''', the '''gaeisma''', is a 37-limit..."

2025-02-18T04:43:50Z

Created page with "{{Infobox Interval | Ratio = 1184/1183 | Name = gaeisma | Color name = 37o3uur1 <br> thisothuthuru unison | Comma = yes }} '''1884/1883''', the '''gaeisma''', is a 37-limit..."

New page

{{Infobox Interval
| Ratio = 1184/1183
| Name = gaeisma
| Color name = 37o3uur1 <br> thisothuthuru unison
| Comma = yes
}}

'''1884/1883''', the '''gaeisma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 1.5 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[148/147]] and [[169/168]]
* [[456/455]] and [[741/740]]

It can be factored into the following superparticular intervals:
* [[1197/1196]] and [[108928/108927]]
* [[1210/1209]] and [[55056/55055]]
* [[1216/1215]] and [[44955/44954]]
* [[1275/1274]] and [[16576/16575]]
* [[1288/1287]] and [[14652/14651]]
* [[1296/1295]] and [[13690/13689]]
* [[1332/1331]] and [[10648/10647]]
* [[1480/1479]] and [[5916/5915]]
* [[1665/1664]] and [[4096/4095]]
* [[1702/1701]] and [[3888/3887]]
* [[1860/1859]] and [[3256/3255]]
* [[2146/2145]] and [[2640/2639]]

== Temperaments ==
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''gaeismic'''. Using the 2.7.13.37 subgroup leads to the rank-3 temperament '''gaeic'''.

=== Gaeic ===

[[Subgroup]]: 2.7.13.37

[[Comma list]]: 1184/1183

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~7/4 = 968.954, ~13/8 = 840.974

{{Optimal ET sequence|legend=1| 4, 6, 7l, 9l, 10, 27, 36l, 37, 47, 57, 104, 130, 167, 177, 187, 234), 291, 478, 525, 1003, 1294f, 1528f }}

[[Badness]] (Sintel): 0.014

== Etymology ==
This comma was named by [[Francium]] in 2025. It refers to {{W|1184 Gaea}}, the asteroid, which in turn was named after {{W|Gaia}}, a Greek goddess.

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

[[Category:Commas named after asteroids]]
[[Category:Commas named after myth or folk characters]]

1184/1183 - Revision history

BudjarnLambeth at 03:20, 11 April 2025

FloraC: -typo

Francium: Created page with "{{Infobox Interval | Ratio = 1184/1183 | Name = gaeisma | Color name = 37o3uur1 thisothuthuru unison | Comma = yes }} '''1884/1883''', the '''gaeisma''', is a 37-limit..."

Francium: Created page with "{{Infobox Interval | Ratio = 1184/1183 | Name = gaeisma | Color name = 37o3uur1
thisothuthuru unison | Comma = yes }} '''1884/1883''', the '''gaeisma''', is a 37-limit..."