25th-octave temperaments - Revision history

Xenllium at 05:27, 23 February 2026

2026-02-23T05:27:41Z

← Older revision		Revision as of 05:27, 23 February 2026
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	{{Technical data page}}		{{Technical data page}}
	{{Infobox fractional-octave\|25}}		{{Infobox fractional-octave\|25}}
	~~{{todo\|intro}}~~		[[25edo]] is an interesting system when it comes to fractional-octave temperaments. It has some close approximations including [[5/4]] and [[17/14]].

	== Manganese ==		== Manganese ==
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	==== 19-limit ====		==== 19-limit ====

	Subgroup: 2.3.5.7.11.13.17.19		Subgroup: 2.3.5.7.11.13.17.19

Lériendil: Text replacement - "{{Technical data page}}

" to "{{Technical data page}}"

2025-04-13T13:47:13Z

Text replacement - "{{Technical data page}}<br><br>" to "{{Technical data page}}"

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	{{Infobox fractional-octave\|25}}		{{Infobox fractional-octave\|25}}
	{{todo\|intro}}		{{todo\|intro}}

BudjarnLambeth: {{Technical data page}}

2025-04-13T11:07:29Z

{{Technical data page}}<br><br>

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ArrowHead294 at 03:59, 14 February 2025

2025-02-14T03:59:37Z

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	{{~~Fractional~~-octave ~~navigation~~\|25}}		{{Infobox fractional-octave\|25}}
	{{todo\|intro}}		{{todo\|intro}}

BudjarnLambeth: todo

2024-12-05T07:49:30Z

todo

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	{{Fractional-octave navigation\|25}}		{{Fractional-octave navigation\|25}}
			{{todo\|intro}}

	== Manganese ==		== Manganese ==

BudjarnLambeth: Navbox

2024-12-05T07:49:12Z

Navbox

← Older revision		Revision as of 07:49, 5 December 2024
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	== References ==		== References ==
			<references />

			{{Navbox fractional-octave}}

Eliora: /* Hemimanganese */

2023-10-22T21:51:05Z

Hemimanganese

@@ Line 17: / Line 17: @@
 === Hemimanganese ===
-While manganese is a rather bulky temperament, splitting the generator in half lends itself to a high-limit interpretaton, which can be described as the 525 & 2000 temperament.
+While manganese is a rather bulky temperament, splitting the generator in half lends itself to a high-limit interpretaton, which can be described as the 525 & 2000 temperament. Hemimanganese maps [[17/14]] into 7\25.
 ==== 23-limit ====

Eliora: /* Semimanganese */ Hemimanganese as hemi- splits gen in half

2023-10-22T21:45:10Z

Semimanganese: Hemimanganese as hemi- splits gen in half

← Older revision		Revision as of 21:45, 22 October 2023
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	[[Support]]ing [[ET]]s: {{EDOs\|525, 1000, ...}}		[[Support]]ing [[ET]]s: {{EDOs\|525, 1000, ...}}

	=== ~~Semimanganese~~ ===		=== Hemimanganese ===
	While manganese is a rather bulky temperament, splitting the generator in half lends itself to a high-limit interpretaton, which can be described as the 525 & 2000 temperament.		While manganese is a rather bulky temperament, splitting the generator in half lends itself to a high-limit interpretaton, which can be described as the 525 & 2000 temperament.

Eliora: /* Semimanganese */

2023-10-22T21:44:51Z

Semimanganese

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 === Semimanganese ===
 While manganese is a rather bulky temperament, splitting the generator in half lends itself to a high-limit interpretaton, which can be described as the 525 & 2000 temperament.
 == References ==

Eliora: Created page with "{{Fractional-octave navigation|25}} == Manganese == ''Manganese'' is the simplest 5-limit 25th-octave temperament by TE simple badness at 0.1 cent error http://x31eq..."

2023-10-22T21:39:30Z

Created page with "{{Fractional-octave navigation|25}} == Manganese == ''Manganese'' is the simplest 5-limit 25th-octave temperament by TE simple badness at 0.1 cent error <ref>http://x31eq..."

New page

{{Fractional-octave navigation|25}}

== Manganese ==
''Manganese'' is the simplest 5-limit 25th-octave temperament by [[TE simple badness]] at 0.1 cent error <ref>http://x31eq.com/cgi-bin/pregular.cgi?limit=48.000+1901.955+2786.314&error=0.1</ref>.

Subgroup: 2.3.5

Comma list: {{monzo|211 50 -125}}

{{Mapping|legend=1| 25 2 43 | 0 5 2 }}

: mapping generators: ~{{monzo|76 18 -45}} = 1\25, ~{{monzo|54 13 -32}} = 361.189

[[Optimal tuning]] ([[CTE]]): ~{{monzo|54 13 -32}} = 361.189

[[Support]]ing [[ET]]s: {{EDOs|525, 1000, ...}}

=== Semimanganese ===
While manganese is a rather bulky temperament, splitting the generator in half lends itself to a high-limit interpretaton, which can be described as the 525 & 2000 temperament.

== References ==