FloraC: FloraC moved page Marconisma to 1332/1331 over redirect: 8-digit ratios are okay as page titles

2025-01-07T14:20:55Z

FloraC moved page Marconisma to 1332/1331 over redirect: 8-digit ratios are okay as page titles

← Older revision	Revision as of 14:20, 7 January 2025
(No difference)

BudjarnLambeth at 01:47, 4 November 2024

2024-11-04T01:47:17Z

← Older revision		Revision as of 01:47, 4 November 2024
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	== Etymology ==		== Etymology ==
	The marconisma was named by [[Francium]] in 2024. It refers to the asteroid {{W\|1332 Marconia}}.		The marconisma was named by [[Francium]] in 2024. It refers to the asteroid {{W\|1332 Marconia}}. Which was in turn named after an Italian electrical engineer.

	== See also ==		== See also ==
Line 87:		Line 87:

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

BudjarnLambeth at 08:36, 3 November 2024

2024-11-03T08:36:40Z

← Older revision		Revision as of 08:36, 3 November 2024
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	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

			[[Category:Commas named after asteroids]]

Francium: +commatic relation

2024-10-29T18:59:09Z

+commatic relation

← Older revision		Revision as of 18:59, 29 October 2024
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	== Commatic relationships ==		== Commatic relationships ==
	This comma is the difference between the superparticular ~~pair~~ [[243/242]] and [[297/296]].		This comma is the difference between the following superparticular pairs:
			* [[111/110]] and [[121/120]]
			* [[243/242]] and [[297/296]]

	It can be factored into following superparticular commas:		It can be factored into following superparticular commas:

Francium: Created page with "{{Infobox Interval | Ratio = 1332/1331 | Name = Marconisma | Color name = 37o1u³2
thisotrilu 2nd | Comma = yes }} '''1332/1331''', the '''marconisma''', is a..."

2024-10-29T12:22:21Z

Created page with "{{Infobox Interval | Ratio = 1332/1331 | Name = Marconisma | Color name = 37o1u32 thisotrilu 2nd | Comma = yes }} '''1332/1331''', the '''marconisma''', is a..."

New page

{{Infobox Interval
| Ratio = 1332/1331
| Name = Marconisma
| Color name = 37o1u32 thisotrilu 2nd
| Comma = yes
}}

'''1332/1331''', the '''marconisma''', is a [[37-limit]] [[superparticular ratio|superparticular comma]] of about 1.3 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the superparticular pair [[243/242]] and [[297/296]].

It can be factored into following superparticular commas:
* [[1365/1364]] and [[55056/55055]]
* [[1369/1368]] and [[49248/49247]]
* [[1480/1479]] and [[13311/13310]]
* [[1665/1664]] and [[6656/6655]]
* [[2058/2057]] and [[3774/3773]]
* [[2146/2145]] and [[3510/3509]]
* [[2553/2552]] and [[2784/2783]]

== Temperaments ==
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''marconismic'''. Using the 2.3.11.37 subgroup leads to the rank-3 temperament '''marconic'''.

=== Marconismic ===

[[Subgroup]]: 2.3.5.7.11.13.17.19.23.29.31.37

[[Comma list]]: 1332/1331

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.910, ~5/4 = 386.314, ~7/4 = 968.826, ~11/8 = 551.640, ~13/8 = 840.528, ~17/16 = 104.955, ~19/16 = 297.513, ~23/16 = 628.274, ~29/16 = 1029.577, ~31/16 = 1145.036

{{Optimal ET sequence|legend=1| 6h, 7dfghijjk, 8d, 8di, 9gijk, 9k, 9, 10hil, 12fghhijkll, 14cfgghhiijjkkl, 14cfggiijjkkl, 14cfggjjkkl, 14cfjjkkl, 14cfjjl, 15, 15gk, 16j, 17cgk, 17cghk, 22ijl, 22il, 24ij, 24i, 24, 29gjkll, 31fghjk, 34dhjkl, 38dfijkkl, 38dfijl, 41, 41i, 46l, 56, 58hikl, 65d, 72hijk, 72ijk, 72, 80, 80k, 103hil, 103hl, 121ikl, 145jkl, 152fj, 152fgj, 159k, 183k, 183, 190gl, 217l, 224, 239, 248h, 270l, 279, 296, 311k, 311, 472f, 472, 487, 535k, 552g, 566gjl, 624jk, 711, 718, 814k, 814, 863efgjk, 935, 1096j, 1125l, … }}

=== Marconic ===

[[Subgroup]]: 2.3.11.37

[[Comma list]]: 1332/1331

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.910, ~11/8 = 551.640

{{Optimal ET sequence|legend=1| 7, 15, 17, 24, 104, 111, 128, 135, 152, 176, 200, 359, 383, 535, 559, 1142, 1901e }}

== Etymology ==
The marconisma was named by [[Francium]] in 2024. It refers to the asteroid {{W|1332 Marconia}}.

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

1332/1331 - Revision history

FloraC: FloraC moved page Marconisma to 1332/1331 over redirect: 8-digit ratios are okay as page titles

BudjarnLambeth at 01:47, 4 November 2024

BudjarnLambeth at 08:36, 3 November 2024

Francium: +commatic relation

Francium: Created page with "{{Infobox Interval | Ratio = 1332/1331 | Name = Marconisma | Color name = 37o1u32 thisotrilu 2nd | Comma = yes }} '''1332/1331''', the '''marconisma''', is a..."

Francium: Created page with "{{Infobox Interval | Ratio = 1332/1331 | Name = Marconisma | Color name = 37o1u³2
thisotrilu 2nd | Comma = yes }} '''1332/1331''', the '''marconisma''', is a..."