1176/1175 - Revision history

Xenllium at 23:10, 9 May 2025

2025-05-09T23:10:33Z

← Older revision		Revision as of 23:10, 9 May 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 1176/1175		\| Ratio = 1176/1175
			\| Name = lucidorisma
	\| Color name = 47uzzgg2 <br> fosubizogu 2nd		\| Color name = 47uzzgg2 <br> fosubizogu 2nd
	\| Comma = yes		\| Comma = yes
	}}		}}

	'''1176/1175''', is a [[47-limit]] [[superparticular interval\|superparticular comma]] of about 1.5 [[cent]]s.		'''1176/1175''' is a [[47-limit]] [[superparticular interval\|superparticular comma]] of about 1.5 [[cent]]s. It forms the amount by which a stack consisting of two [[7/5]]s and one [[48/47]] exceeds an [[2/1\|octave]].

	== Commatic relationships ==		== Commatic relationships ==
Line 37:		Line 38:

	=== Lucidoric ===		=== Lucidoric ===

	[[Subgroup]]:2.3.5.7.47		[[Subgroup]]:2.3.5.7.47

Sintel: move proposed name

2025-04-13T12:23:28Z

move proposed name

← Older revision		Revision as of 12:23, 13 April 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 1176/1175		\| Ratio = 1176/1175
	~~\| Name = lucidorisma~~
	\| Color name = 47uzzgg2 <br> fosubizogu 2nd		\| Color name = 47uzzgg2 <br> fosubizogu 2nd
	\| Comma = yes		\| Comma = yes
	}}		}}

	'''1176/1175~~''', the '''lucidorisma~~''', is a [[47-limit]] [[superparticular interval\|superparticular comma]] of about 1.5 [[cent]]s.		'''1176/1175''', is a [[47-limit]] [[superparticular interval\|superparticular comma]] of about 1.5 [[cent]]s.

	== Commatic relationships ==		== Commatic relationships ==
Line 61:		Line 60:
	[[Badness]] (Sintel): 0.087		[[Badness]] (Sintel): 0.087

	== ~~Etymology~~ ==		== Proposed names ==
	[[Francium]] proposed the name '''lucidorisma''' in 2025. It refers to {{W\|1176 Lucidor}}, the asteroid, which in turn was named after an amateur astronomer.		[[Francium]] proposed the name '''lucidorisma''' in 2025. It refers to {{W\|1176 Lucidor}}, the asteroid, which in turn was named after an amateur astronomer.

Francium: Created page with "{{Infobox Interval | Ratio = 1176/1175 | Name = lucidorisma | Color name = 47uzzgg2
fosubizogu 2nd | Comma = yes }} '''1176/1175''', the '''lucidorisma''', is a 47-limit superparticular comma of about 1.5 cents. == Commatic relationships == This comma is the difference between the following superparticular pairs: * 126/125 and 141/140 * 189/188 and 225/224 * 196/195 and 235/234 It can be factored into t..."

2025-04-12T21:48:11Z

Created page with "{{Infobox Interval | Ratio = 1176/1175 | Name = lucidorisma | Color name = 47uzzgg2 <br> fosubizogu 2nd | Comma = yes }} '''1176/1175''', the '''lucidorisma''', is a 47-limit superparticular comma of about 1.5 cents. == Commatic relationships == This comma is the difference between the following superparticular pairs: * 126/125 and 141/140 * 189/188 and 225/224 * 196/195 and 235/234 It can be factored into t..."

New page

{{Infobox Interval
| Ratio = 1176/1175
| Name = lucidorisma
| Color name = 47uzzgg2 <br> fosubizogu 2nd
| Comma = yes
}}

'''1176/1175''', the '''lucidorisma''', is a [[47-limit]] [[superparticular interval|superparticular comma]] of about 1.5 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[126/125]] and [[141/140]]
* [[189/188]] and [[225/224]]
* [[196/195]] and [[235/234]]

It can be factored into the following superparticular ratios:
* [[1184/1183]] and [[173901/173900]]
* [[1190/1189]] and [[99876/99875]]
* [[1197/1196]] and [[66976/66975]]
* [[1216/1215]] and [[35721/35720]]
* [[1225/1224]] and [[29376/29375]]
* [[1276/1275]] and [[14994/14993]]
* [[1296/1295]] and [[12691/12690]]
* [[1364/1363]] and [[8526/8525]]
* [[1458/1457]] and [[6076/6075]]
* [[1596/1595]] and [[4466/4465]]
* [[1666/1665]] and [[3996/3995]]
* [[1701/1700]] and [[3808/3807]]
* [[1740/1739]] and [[3626/3625]]
* [[1764/1763]] and [[3526/3525]]
* [[1881/1880]] and [[3136/3135]]
* [[2016/2015]] and [[2821/2820]]
* [[2116/2115]] and [[2646/2645]]
* [[2304/2303]] and [[2401/2400]]

== Temperaments ==
Tempering out this comma in the full 47-limit leads to the rank-14 temperament '''lucidorismic'''. Using the 2.3.5.7.47 subgroup leads to the rank-4 temperament '''lucidoric'''.

=== Lucidoric ===

[[Subgroup]]:2.3.5.7.47

[[Comma list]]: 1176/1175

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.912, ~5/4 = 386.497, ~7/4 = 968.557

{{Optimal ET sequence|legend=1| 7do, 8do, 10, 12, 19o, 27, 31, 53o, 60, 68, 72, 99, 171, 270, 571, 742, 841o, 1012o, 1583oo, 1853oo }}

[[Badness]] (Sintel): 0.087

== Etymology ==
[[Francium]] proposed the name '''lucidorisma''' in 2025. It refers to {{W|1176 Lucidor}}, the asteroid, which in turn was named after an amateur astronomer.

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

[[Category:Commas named after asteroids]]
[[Category:Commas named after individuals]]