Symmetry454 - Revision history

FloraC: Mark as novelty. - parent category

2025-04-28T14:44:01Z

Mark as novelty. - parent category

← Older revision		Revision as of 14:44, 28 April 2025
Line 1:		Line 1:
			{{Novelty}}

	'''Symmetry454''' is a rank-2 temperament that derives from the calendar by the same name, which was a proposed as a reform in 2004.		'''Symmetry454''' is a rank-2 temperament that derives from the calendar by the same name, which was a proposed as a reform in 2004.

Line 38:		Line 40:
	* [http://individual.utoronto.ca/kalendis/leap/index.htm Calendar Leap Cycles]		* [http://individual.utoronto.ca/kalendis/leap/index.htm Calendar Leap Cycles]

	[[Category:~~Temperaments~~]]		[[Category:Symmetry454\| ]] <!-- main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
	[[Category:Marvel temperaments]]		[[Category:Marvel temperaments]]

Lériendil at 00:03, 20 April 2025

2025-04-20T00:03:12Z

← Older revision		Revision as of 00:03, 20 April 2025
Line 39:		Line 39:

	[[Category:Temperaments]]		[[Category:Temperaments]]
			[[Category:Rank-2 temperaments]]
	[[Category:Marvel temperaments]]		[[Category:Marvel temperaments]]

Cmloegcmluin: "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

2023-05-07T16:34:09Z

"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

← Older revision		Revision as of 16:34, 7 May 2023
Line 23:		Line 23:
	POTE generator: ~52/45 = 253.9315		POTE generator: ~52/45 = 253.9315

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 52, 241c, 293 }}		{{Optimal ET sequence\|legend=1\| 52, 241c, 293 }}

	=== 17-limit ===		=== 17-limit ===
Line 32:		Line 32:
	POTE generator: ~52/45 = 253.9326		POTE generator: ~52/45 = 253.9326

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 52, 241c, 293 }}		{{Optimal ET sequence\|legend=1\| 52, 241c, 293 }}

	== Links ==		== Links ==

Eliora: 52/45 is below tritone

2022-09-23T00:44:58Z

52/45 is below tritone

← Older revision		Revision as of 00:44, 23 September 2022
Line 21:		Line 21:
	Comma list: 225/224, 14700/14641, 16896/16807, 24192/24167		Comma list: 225/224, 14700/14641, 16896/16807, 24192/24167

	POTE generator: ~45~~/26~~ = 253.9315		POTE generator: ~52/45 = 253.9315

	Optimal GPV sequence: {{Val list\| 52, 241c, 293 }}		Optimal GPV sequence: {{Val list\| 52, 241c, 293 }}
Line 30:		Line 30:
	Comma list: 225/224, 715/714, 2880/2873, 22750/22627, 60112/60025		Comma list: 225/224, 715/714, 2880/2873, 22750/22627, 60112/60025

	POTE generator: ~45~~/26~~ = 253.9326		POTE generator: ~52/45 = 253.9326

	Optimal GPV sequence: {{Val list\| 52, 241c, 293 }}		Optimal GPV sequence: {{Val list\| 52, 241c, 293 }}

FloraC: Bold lemma; +categories; misc cleanup

2022-08-29T19:47:53Z

Bold lemma; +categories; misc cleanup

← Older revision		Revision as of 19:47, 29 August 2022
Line 1:		Line 1:
	Symmetry454 is a rank ~~two~~ temperament that derives from the calendar by the same name, ~~that~~ was a proposed as a reform in 2004.		'''Symmetry454''' is a rank-2 temperament that derives from the calendar by the same name, which was a proposed as a reform in 2004.

	== History ==		== History ==
Line 13:		Line 13:
	Symmetry454's "first" comma is 225/224, meaning that it can be included in the collection of miscellaneous [[marvel temperaments]]. However, with the lack of commonality of a second comma between the 13 and 17 limits, it does not have a family yet.		Symmetry454's "first" comma is 225/224, meaning that it can be included in the collection of miscellaneous [[marvel temperaments]]. However, with the lack of commonality of a second comma between the 13 and 17 limits, it does not have a family yet.

	== ~~Symmetry454~~ ==		== Temperament data ==
	In the limits below 13, Symmetry454 is a contorted 63 & 115 temperament.		In the limits below 13, Symmetry454 is a contorted 63 & 115 temperament.

Line 21:		Line 21:
	Comma list: 225/224, 14700/14641, 16896/16807, 24192/24167		Comma list: 225/224, 14700/14641, 16896/16807, 24192/24167

	POTE generator: ~~253.9315~~ ~45/26		POTE generator: ~45/26 = 253.9315

	~~Vals~~: {{~~EDOs~~\|52, 241c, 293}}		Optimal GPV sequence: {{Val list\| 52, 241c, 293 }}

	=== 17-limit ===		=== 17-limit ===
	Subgroup: 2.3.5.7.11.13.17		Subgroup: 2.3.5.7.11.13.17

	Comma list: 225/224, 715/714, 2880/2873, 22750/22627, 60112/60025.		Comma list: 225/224, 715/714, 2880/2873, 22750/22627, 60112/60025

	POTE generator: ~~253.9326~~ ~45/26		POTE generator: ~45/26 = 253.9326

	~~Vals~~: {{~~EDOs~~\|52, ~~243c~~, 293}}		Optimal GPV sequence: {{Val list\| 52, 241c, 293 }}

	== Links ==		== Links ==

	* [http://individual.utoronto.ca/kalendis/symmetry.htm Symmetry454 Calendar - Home Page]		* [http://individual.utoronto.ca/kalendis/symmetry.htm Symmetry454 Calendar - Home Page]
	* [http://individual.utoronto.ca/kalendis/leap/index.htm Calendar Leap Cycles]		* [http://individual.utoronto.ca/kalendis/leap/index.htm Calendar Leap Cycles]

			[[Category:Temperaments]]
			[[Category:Marvel temperaments]]

Eliora: /* Symmetry454 */

2022-08-29T16:34:44Z

Symmetry454

← Older revision		Revision as of 16:34, 29 August 2022
Line 21:		Line 21:
	Comma list: 225/224, 14700/14641, 16896/16807, 24192/24167		Comma list: 225/224, 14700/14641, 16896/16807, 24192/24167

	POTE generator: 253.9315 (~~~62\293)~~		POTE generator: 253.9315 ~45/26

	Vals: {{EDOs\|52, 241c, 293}}		Vals: {{EDOs\|52, 241c, 293}}
Line 30:		Line 30:
	Comma list: 225/224, 715/714, 2880/2873, 22750/22627, 60112/60025.		Comma list: 225/224, 715/714, 2880/2873, 22750/22627, 60112/60025.

	POTE generator: 253.9326 (~~~62\293)~~		POTE generator: 253.9326 ~45/26

	Vals: {{EDOs\|52, 243c, 293}}		Vals: {{EDOs\|52, 243c, 293}}

Eliora: Created page with "Symmetry454 is a rank two temperament that derives from the calendar by the same name, that was a proposed as a reform in 2004. == History == Symmetry454 calendar was develop..."

2022-04-02T09:31:23Z

Created page with "Symmetry454 is a rank two temperament that derives from the calendar by the same name, that was a proposed as a reform in 2004. == History == Symmetry454 calendar was develop..."

New page

Symmetry454 is a rank two temperament that derives from the calendar by the same name, that was a proposed as a reform in 2004.

== History ==
Symmetry454 calendar was developed in 2004 by Irv Bromberg. Unlike some of the previous calendar reforms, which proposed "null" days to even out the inconsistence of weekdays with months, Symmetry454 calendar employs a leap week to account for the inconsistency - each year is 52 or 53 weeks whole. What's more unique, each ''month'' is 4 or 5 weeks whole starting on Monday, resulting in dates such as February 35th.

The leap rule of Symmetry454 is defined by the following:

It is a leap year only if the ''remainder'' of ( 52 × ''Year'' + 146 ) / 293 is less than 52.

As such, it is an [[maximal evenness]] scale, therefore a [[MOS]] scale, and therefore can be used to produce a temperament. It is defined therefore in music through a 52 & 293 temperament.

== Theory ==
Symmetry454's "first" comma is 225/224, meaning that it can be included in the collection of miscellaneous [[marvel temperaments]]. However, with the lack of commonality of a second comma between the 13 and 17 limits, it does not have a family yet.

== Symmetry454 ==
In the limits below 13, Symmetry454 is a contorted 63 & 115 temperament.

=== 13-limit ===
Subgroup: 2.3.5.7.11.13

Comma list: 225/224, 14700/14641, 16896/16807, 24192/24167

POTE generator: 253.9315 (~62\293)

Vals: {{EDOs|52, 241c, 293}}

=== 17-limit ===
Subgroup: 2.3.5.7.11.13.17

Comma list: 225/224, 715/714, 2880/2873, 22750/22627, 60112/60025.

POTE generator: 253.9326 (~62\293)

Vals: {{EDOs|52, 243c, 293}}

== Links ==

* [http://individual.utoronto.ca/kalendis/symmetry.htm Symmetry454 Calendar - Home Page]
* [http://individual.utoronto.ca/kalendis/leap/index.htm Calendar Leap Cycles]