91st-octave temperaments - Revision history

ArrowHead294 at 03:45, 14 February 2025

2025-02-14T03:45:52Z

← Older revision		Revision as of 03:45, 14 February 2025
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	{{~~Fractional~~-octave ~~navigation~~\|91}}		{{Infobox fractional-octave\|91}}
	{{todo\|intro}}		{{todo\|intro}}
	==Protactinium==
			== Protactinium ==
	Protactinium is described as the 364 & 1547 temperament and named after the 91st element. Coincidentally, it reaches [[91/64]] in 1 generator.		Protactinium is described as the 364 & 1547 temperament and named after the 91st element. Coincidentally, it reaches [[91/64]] in 1 generator.

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	[[Support]]ing [[ET]]s: {{EDOs\|364, 819, 1183, 1547, 1911, 2730, 3094, 3913, 4277}}		[[Support]]ing [[ET]]s: {{EDOs\|364, 819, 1183, 1547, 1911, 2730, 3094, 3913, 4277}}
	====11-limit====
			==== 11-limit ====
	Subgroup: 2.3.5.7.11		Subgroup: 2.3.5.7.11

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	[[Support]]ing [[ET]]s: {{EDOs\|364, 819e, 1183, 1547, 1911, 2275, 2730e, 3458}}		[[Support]]ing [[ET]]s: {{EDOs\|364, 819e, 1183, 1547, 1911, 2275, 2730e, 3458}}
	====13-limit====
			==== 13-limit ====
	Subgroup: 2.3.5.7.11.13		Subgroup: 2.3.5.7.11.13

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	Badness: 0.0777		Badness: 0.0777
	====17-limit====
			==== 17-limit ====
	Subgroup: 2.3.5.7.11.13.17		Subgroup: 2.3.5.7.11.13.17

BudjarnLambeth: navbox, todo

2024-12-05T07:42:20Z

navbox, todo

← Older revision		Revision as of 07:42, 5 December 2024
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	{{Fractional-octave navigation\|91}}		{{Fractional-octave navigation\|91}}
			{{todo\|intro}}
	==Protactinium==		==Protactinium==
	Protactinium is described as the 364 & 1547 temperament and named after the 91st element. Coincidentally, it reaches [[91/64]] in 1 generator.		Protactinium is described as the 364 & 1547 temperament and named after the 91st element. Coincidentally, it reaches [[91/64]] in 1 generator.
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	Badness: 0.0582		Badness: 0.0582

			{{Navbox fractional-octave}}

Eliora: /* Protactinium */

2024-01-31T23:14:09Z

Protactinium

← Older revision		Revision as of 23:14, 31 January 2024
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	{{Fractional-octave navigation\|91}}		{{Fractional-octave navigation\|91}}
	==Protactinium==		==Protactinium==
	Protactinium is described as the 364 & 1547 temperament and named after the 91st element.		Protactinium is described as the 364 & 1547 temperament and named after the 91st element. Coincidentally, it reaches [[91/64]] in 1 generator.

	Subgroup: 2.3.5.7		Subgroup: 2.3.5.7

Eliora at 22:35, 14 July 2023

2023-07-14T22:35:35Z

← Older revision		Revision as of 22:35, 14 July 2023
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			{{Fractional-octave navigation\|91}}
	==Protactinium==		==Protactinium==
	Protactinium is described as the 364 & 1547 temperament and named after the 91st element.		Protactinium is described as the 364 & 1547 temperament and named after the 91st element.
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	Badness: 0.0582		Badness: 0.0582

	~~[[Category:91edo]]~~
	~~[[Category:Temperament collections]]~~

Eliora at 14:35, 15 June 2023

2023-06-15T14:35:55Z

← Older revision		Revision as of 14:35, 15 June 2023
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	~~==91st-octave temperaments==~~		==Protactinium==
	===Protactinium===
	Protactinium is described as the 364 & 1547 temperament and named after the 91st element.		Protactinium is described as the 364 & 1547 temperament and named after the 91st element.

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	[[Category:91edo]]		[[Category:91edo]]
			[[Category:Temperament collections]]

Eliora at 14:34, 15 June 2023

2023-06-15T14:34:39Z

← Older revision		Revision as of 14:34, 15 June 2023
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	Badness: 0.0582		Badness: 0.0582

			[[Category:91edo]]

Eliora: 91st

2023-06-15T13:53:23Z

91st

New page

==91st-octave temperaments==
===Protactinium===
Protactinium is described as the 364 & 1547 temperament and named after the 91st element.

Subgroup: 2.3.5.7

Comma list: {{monzo|47 -7 -7 -7}}, {{monzo|-2 -25 1 14}}

Mapping: [{{val| 91 0 644 -33 1036}}, {{val| 0 1 -3 -2 -5}}]
:mapping generators: ~1728/1715, ~3
Optimal tuning (CTE): ~3/2 = 701.991

[[Support]]ing [[ET]]s: {{EDOs|364, 819, 1183, 1547, 1911, 2730, 3094, 3913, 4277}}
====11-limit====
Subgroup: 2.3.5.7.11

Comma list: 234375/234256, 26214400/26198073, 514714375/514434888

Mapping: [{{val| 91 0 644 -33 1036}}, {{val| 0 1 -3 -2 -5}}]
:mapping generators: ~1728/1715, ~3
Optimal tuning (CTE): ~3/2 = 702.015

[[Support]]ing [[ET]]s: {{EDOs|364, 819e, 1183, 1547, 1911, 2275, 2730e, 3458}}
====13-limit====
Subgroup: 2.3.5.7.11.13

Comma list: 4096/4095, 91125/91091, 369754/369603, 2912000/2910897

Mapping: [{{val| 91 0 644 -33 1036 481 }}, {{val| 0 1 -3 -2 -5 -1 }}]
:mapping generators: ~1728/1715, ~3
Optimal tuning (CTE): ~3/2 = 702.0195

{{Optimal ET sequence|legend=1| 364, 819e, 1183, 1547 }}

Badness: 0.0777
====17-limit====
Subgroup: 2.3.5.7.11.13.17

Comma list: 4096/4095, 14400/14399, 42500/42471, 75735/75712, 2100875/2100384

Mapping: [{{val| 91 0 644 -33 1036 481 -205 }}, {{val| 0 1 -3 -2 -5 -1 4 }}]

Optimal tuning (CTE): ~3/2 = 702.0269

{{Optimal ET sequence|legend=1| 364, 1183, 1547, 1911 }}

Badness: 0.0582