182/121 - Revision history

DesertFreeze: Refined interval names

2026-08-31T13:28:47Z

Refined interval names

← Older revision		Revision as of 13:28, 31 August 2026
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	\| Sound = Ji-182-121-csound-foscil-220hz.mp3		\| Sound = Ji-182-121-csound-foscil-220hz.mp3
	}}		}}
	'''182/121''', the '''minor-minthmic fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a [[364/363\|minor-minthma (364/363)]] sharp of the perfect fifth ([[3/2]]). It is the stack of [[14/11]] and [[13/11]] ((13/11)⋅(14/11) = 182/121).		'''182/121''', the '''minor-minthmic fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a [[364/363\|minor-minthma (364/363)]] sharp of the [[3/2\|perfect fifth (3/2)]]. It is the stack of the [[14/11\|pentacircle major third (14/11)]] and the [[13/11\|major-minthmic minor third (13/11)]] ((13/11)⋅(14/11) = 182/121).

	== Approximation ==		== Approximation ==
	This interval is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.		This interval is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.

	It is also incredibly close to the major-minthmic fifth ([[176/117]], 706.8803{{cent}}), found as a stack of [[16/13]] and [[11/9]] ((11/9)⋅(16/13) = 176/117).		It is also incredibly close to the [[176/117\|major-minthmic fifth (176/117]], 706.8803{{cent}}), found as a stack of a [[16/13\|tridecimal neutral third (16/13)]] and an [[11/9\|undecimal neutral third (11/9)]]: ((11/9)⋅(16/13) = 176/117).

	== See also ==		== See also ==

FloraC: - explanation on the name (the hyphenation should make it clear enough)

2026-07-22T14:36:27Z

- explanation on the name (the hyphenation should make it clear enough)

← Older revision		Revision as of 14:36, 22 July 2026
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	}}		}}
	'''182/121''', the '''minor-minthmic fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a [[364/363\|minor-minthma (364/363)]] sharp of the perfect fifth ([[3/2]]). It is the stack of [[14/11]] and [[13/11]] ((13/11)⋅(14/11) = 182/121).		'''182/121''', the '''minor-minthmic fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a [[364/363\|minor-minthma (364/363)]] sharp of the perfect fifth ([[3/2]]). It is the stack of [[14/11]] and [[13/11]] ((13/11)⋅(14/11) = 182/121).

	~~Note that ''minor-minthmic'' modifies ''fifth'' and that ''minor-minthmic'' is the name of the temperament that tempers out 364/363. ''Minor'' does not specify the size of the interval here.~~

	== Approximation ==		== Approximation ==

FloraC: Hyphenation to make this clearer

2026-07-22T14:24:38Z

Hyphenation to make this clearer

← Older revision		Revision as of 14:24, 22 July 2026
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	{{Infobox Interval		{{Infobox Interval
	\| Name = minor minthmic fifth		\| Name = minor-minthmic fifth
	\| Color name = 3o1uuz6, tholuluzo 6th		\| Color name = 3o1uuz6, tholuluzo 6th
	\| Sound = Ji-182-121-csound-foscil-220hz.mp3		\| Sound = Ji-182-121-csound-foscil-220hz.mp3
	}}		}}
	'''182/121''', the '''minor minthmic fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a [[364/363\|minor minthma (364/363)]] sharp of the perfect fifth ([[3/2]]). It is the stack of [[14/11]] and [[13/11]] ((13/11)(14/11) = 182/121).		'''182/121''', the '''minor-minthmic fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a [[364/363\|minor-minthma (364/363)]] sharp of the perfect fifth ([[3/2]]). It is the stack of [[14/11]] and [[13/11]] ((13/11)⋅(14/11) = 182/121).

	Note that ''minor minthmic'' modifies ''fifth'' and that ''minor minthmic'' is the name of the temperament that tempers out 364/363. ''Minor'' does not specify the size of the interval here.		Note that ''minor-minthmic'' modifies ''fifth'' and that ''minor-minthmic'' is the name of the temperament that tempers out 364/363. ''Minor'' does not specify the size of the interval here.

	== Approximation ==		== Approximation ==
	This interval is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.		This interval is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.

	It is also incredibly close to the major minthmic fifth ([[176/117]], 706.8803{{cent}}), found as a stack of [[16/13]] and [[11/9]] ((11/9)(16/13) = 176/117).		It is also incredibly close to the major-minthmic fifth ([[176/117]], 706.8803{{cent}}), found as a stack of [[16/13]] and [[11/9]] ((11/9)⋅(16/13) = 176/117).

	== See also ==		== See also ==

FloraC: Address a name change and +necessary terminology

2024-01-15T14:29:16Z

Address a name change and +necessary terminology

← Older revision		Revision as of 14:29, 15 January 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~(tridecimal) gentle~~ fifth		\| Name = minor minthmic fifth
	\| Color name = 3o1uuz6, tholuluzo 6th		\| Color name = 3o1uuz6, tholuluzo 6th
	\| Sound = Ji-182-121-csound-foscil-220hz.mp3		\| Sound = Ji-182-121-csound-foscil-220hz.mp3
	}}		}}
	'''182/121''', the '''~~(tridecimal) gentle~~ fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a ~~gentle comma (~~[[364/363]]) sharp of the perfect fifth ([[3/2]]). It is ~~found between~~ 11~~/14~~ and [[13/11]] (13/11 * [[14/11]] = 182/121).		'''182/121''', the '''minor minthmic fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a [[364/363\|minor minthma (364/363)]] sharp of the perfect fifth ([[3/2]]). It is the stack of [[14/11]] and [[13/11]] ((13/11)(14/11) = 182/121).

			Note that ''minor minthmic'' modifies ''fifth'' and that ''minor minthmic'' is the name of the temperament that tempers out 364/363. ''Minor'' does not specify the size of the interval here.

	== Approximation ==		== Approximation ==
	~~The gentle fifth~~ is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.		This interval is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.

	It is also incredibly close to the minthmic fifth ([[176/117]], 706.8803{{cent}}), found ~~between~~ 13~~/16~~ and [[11/9]] (11/9 * [[16/13]] = 176/117).		It is also incredibly close to the major minthmic fifth ([[176/117]], 706.8803{{cent}}), found as a stack of [[16/13]] and [[11/9]] ((11/9)(16/13) = 176/117).

	== See also ==		== See also ==
Line 15:		Line 17:

	[[Category:Fifth]]		[[Category:Fifth]]
	[[Category:~~Gentle~~]]		[[Category:Minor minthmic]]

Francium: Added color name

2023-09-07T13:18:25Z

Added color name

← Older revision		Revision as of 13:18, 7 September 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = (tridecimal) gentle fifth		\| Name = (tridecimal) gentle fifth
			\| Color name = 3o1uuz6, tholuluzo 6th
	\| Sound = Ji-182-121-csound-foscil-220hz.mp3		\| Sound = Ji-182-121-csound-foscil-220hz.mp3
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T12:49:03Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 12:49, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 182/121~~
	~~\| Monzo = 1 0 0 1 -2 1~~
	~~\| Cents = 706.71768~~
	\| Name = (tridecimal) gentle fifth		\| Name = (tridecimal) gentle fifth
	~~\| Color name =~~
	\| Sound = Ji-182-121-csound-foscil-220hz.mp3		\| Sound = Ji-182-121-csound-foscil-220hz.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:13-limit]]~~
	[[Category:Fifth]]		[[Category:Fifth]]
	[[Category:Gentle]]		[[Category:Gentle]]

	~~{{todo\|add color name}}~~

Fredg999: Improved lead section, split approximation section, misc. edits, categories

2022-03-23T18:48:42Z

Improved lead section, split approximation section, misc. edits, categories

← Older revision		Revision as of 18:48, 23 March 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 182/121		\| Ratio = 182/121
	\| Monzo = 1 0 0 1 -2 1		\| Monzo = 1 0 0 1 -2 1
	\| Cents = 706.71768		\| Cents = 706.71768
	\| Name = tridecimal gentle fifth		\| Name = (tridecimal) gentle fifth
	\| Color name =		\| Color name =
	\| Sound = Ji-182-121-csound-foscil-220hz.mp3		\| Sound = Ji-182-121-csound-foscil-220hz.mp3
	}}		}}
	'''182/121''', ~~706.7177 cents, is~~ the '''gentle fifth''', found between 11/14 and [[13/11]] (13/11 * [[14/11]] = 182/121).		'''182/121''', the '''(tridecimal) gentle fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a gentle comma ([[364/363]]) sharp of the perfect fifth ([[3/2]]). It is found between 11/14 and [[13/11]] (13/11 * [[14/11]] = 182/121).

	~~Rather~~ well approximated by the regular fifths in [[17edo]].		== Approximation ==
			The gentle fifth is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.

	~~Also~~ incredibly close to ~~another gentle~~ fifth, [[176/117]], 706.8803 ~~cents~~, found between 13/16 and [[11/9]] (11/9 * [[16/13]] = 176/117).		It is also incredibly close to the minthmic fifth ([[176/117]], 706.8803{{cent}}), found between 13/16 and [[11/9]] (11/9 * [[16/13]] = 176/117).

			== See also ==
			* [[Gallery of just intervals]]

	[[Category:13-limit]]		[[Category:13-limit]]
	~~[[Category:Just_interval]]~~
	[[Category:Fifth]]		[[Category:Fifth]]
	[[Category:Gentle]]		[[Category:Gentle]]

	~~[[Category:Todo:improve synopsis]]~~		{{todo\|add color name}}
	~~[[Category:Todo:~~add color name]]
	~~[[Category:Todo:expand]]~~

Xenwolf: fixed link

2020-09-16T19:22:51Z

fixed link

← Older revision		Revision as of 19:22, 16 September 2020
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	\| Name = tridecimal gentle fifth		\| Name = tridecimal gentle fifth
	\| Color name =		\| Color name =
	\| Sound = Ji-~~{{#regex:{{PAGENAME}}\|/(\S+)\/(\S+)/\|\1~~-~~\2}}~~-csound-foscil-220hz.mp3		\| Sound = Ji-182-121-csound-foscil-220hz.mp3
	}}		}}
	'''182/121''', 706.7177 cents, is the '''gentle fifth''', found between 11/14 and [[13/11]] (13/11 * [[14/11]] = 182/121).		'''182/121''', 706.7177 cents, is the '''gentle fifth''', found between 11/14 and [[13/11]] (13/11 * [[14/11]] = 182/121).

Aura at 19:16, 16 September 2020

2020-09-16T19:16:33Z

← Older revision		Revision as of 19:16, 16 September 2020
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	\| Monzo = 1 0 0 1 -2 1		\| Monzo = 1 0 0 1 -2 1
	\| Cents = 706.71768		\| Cents = 706.71768
	\| Name = ~~tredecimal~~ gentle fifth		\| Name = tridecimal gentle fifth
	\| Color name =		\| Color name =
	\| Sound = Ji-{{#regex:{{PAGENAME}}\|/(\S+)\/(\S+)/\|\1-\2}}-csound-foscil-220hz.mp3		\| Sound = Ji-{{#regex:{{PAGENAME}}\|/(\S+)\/(\S+)/\|\1-\2}}-csound-foscil-220hz.mp3

Xenwolf: introduced infobox, added monzo, discovered a name duplicate see 176/117, both are tredecimal fifth ...

2020-09-16T19:15:32Z

introduced infobox, added monzo, discovered a name duplicate see 176/117, both are tredecimal fifth ...

@@ Line 1: / Line 1: @@
 '''182/121''', 706.7177 cents, is the '''gentle fifth''', found between 11/14 and [[13/11]] (13/11 * [[14/11]] = 182/121).
@@ Line 12: / Line 21: @@
 [[Category:Todo:improve synopsis]]
 [[Category:Todo:add color name]]
 [[Category:Todo:expand]]