135/112 - Revision history

FloraC: Text replacement - "Category:Hemifamity" to "Category:Aberschismic"

2026-06-06T12:39:13Z

Text replacement - "Category:Hemifamity" to "Category:Aberschismic"

← Older revision		Revision as of 12:39, 6 June 2026
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	[[Category:Second]]		[[Category:Second]]
	[[Category:Augmented second]]		[[Category:Augmented second]]
	[[Category:~~Hemifamity~~]]		[[Category:Aberschismic]]

FloraC: + difference pair

2026-01-06T12:44:02Z

+ difference pair

← Older revision		Revision as of 12:44, 6 January 2026
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	\| Color name = ry2, ruyo 2nd		\| Color name = ry2, ruyo 2nd
	}}		}}
	'''135/112''', the '''septimal wide minor third''', or '''marvel-ptolemaic minor third''', is a [[7-limit]] interval that is sharp of the [[32/27\|Pythagorean minor third]] by [[3645/3584]], i.e. a [[81/80\|syntonic comma]] plus a [[225/224\|marvel comma]]. This interval functionally doubles as a type of augmented second, sharp of the [[19683/16384\|Pythagorean augmented second]] by [[5120/5103]]. This gives rise to the name '''hemifamity augmented second'''.		'''135/112''', the '''septimal wide minor third''', or '''marvel-ptolemaic minor third''', is a [[7-limit]] interval that forms the difference between [[9/7]] and [[16/15]]. It is sharp of the [[32/27\|Pythagorean minor third]] by [[3645/3584]], i.e. a [[81/80\|syntonic comma]] plus a [[225/224\|marvel comma]]. This interval functionally doubles as a type of augmented second, sharp of the [[19683/16384\|Pythagorean augmented second]] by [[5120/5103]]. This gives rise to the name '''hemifamity augmented second'''.

	This interval has the distinction of being almost half of a [[16/11]] semidiminished fifth – in fact, a stack of two 135/112's differs from [[16/11]] by [[200704/200475]], a comma less than two cents in size. Because of the relationship between 135/112 and 16/11, one can easily form a triad consisting of 1–135/112–16/11, to which one can then add [[135/77]] as a seventh.		This interval has the distinction of being almost half of a [[16/11]] semidiminished fifth – in fact, a stack of two 135/112's differs from [[16/11]] by [[200704/200475]], a comma less than two cents in size. Because of the relationship between 135/112 and 16/11, one can easily form a triad consisting of 1–135/112–16/11, to which one can then add [[135/77]] as a seventh.

FloraC: Make this marvel-ptolemaic until 3645/3584 has an accepted name

2026-01-06T12:37:10Z

Make this marvel-ptolemaic until 3645/3584 has an accepted name

← Older revision		Revision as of 12:37, 6 January 2026
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	{{Infobox Interval		{{Infobox Interval
	\| Name = septimal wide minor third, ~~marvelous~~ minor third		\| Name = septimal wide minor third, marvel-ptolemaic minor third, hemifamity augmented second
	\| Color name = ry2, ruyo 2nd		\| Color name = ry2, ruyo 2nd
	}}		}}
			'''135/112''', the '''septimal wide minor third''', or '''marvel-ptolemaic minor third''', is a [[7-limit]] interval that is sharp of the [[32/27\|Pythagorean minor third]] by [[3645/3584]], i.e. a [[81/80\|syntonic comma]] plus a [[225/224\|marvel comma]]. This interval functionally doubles as a type of augmented second, sharp of the [[19683/16384\|Pythagorean augmented second]] by [[5120/5103]]. This gives rise to the name '''hemifamity augmented second'''.

	~~'''135/112''', the '''septimal wide minor third''', or '''marvelous minor third''', is a [[7-limit]]~~ interval ~~which~~ has the distinction of being almost half of a [[16/11]] ~~minor~~ fifth- in fact, a stack of two 135/112 differs from [[16/11]] by [[200704/200475]], a comma less than two cents in size. ~~As the octave complement of 224/135 this interval functionally doubles as a type of augmented second, nevertheless, because~~ of the relationship between 135/112 and 16/11, one can easily form a triad consisting of 1/~~1-135/112-16~~/11, to which one can then add [[135/77]] as a seventh.		This interval has the distinction of being almost half of a [[16/11]] semidiminished fifth – in fact, a stack of two 135/112's differs from [[16/11]] by [[200704/200475]], a comma less than two cents in size. Because of the relationship between 135/112 and 16/11, one can easily form a triad consisting of 1–135/112–16/11, to which one can then add [[135/77]] as a seventh.

	== See also ==		== See also ==
			* [[224/135]] – its octave complement
	* [[224/135]] -- its octave complement		* [[56/45]] – its fifth complement
	* [[56/45]] -- its fifth complement
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	[[Category:Third]]		[[Category:Third]]
	[[Category:Minor third]]		[[Category:Minor third]]
			[[Category:Second]]
			[[Category:Augmented second]]
			[[Category:Hemifamity]]

TallKite: added color name

2022-12-29T02:18:26Z

added color name

← Older revision		Revision as of 02:18, 29 December 2022
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	{{Infobox Interval		{{Infobox Interval
	\| Name = septimal wide minor third, marvelous minor third		\| Name = septimal wide minor third, marvelous minor third
			\| Color name = ry2, ruyo 2nd
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T14:11:07Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 14:11, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 135/112~~		\| Name = septimal wide minor third, marvelous minor third
	~~\| Monzo = -4, 3, 1, -1~~
	~~\| Cents = 323.35281~~
	\| Name = septimal wide minor third, ~~<br>~~ marvelous minor third
	~~\| Color name =~~
	~~\| FJS name =~~
	~~\| Sound =~~
	}}		}}

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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:7-limit]]~~
	[[Category:Third]]		[[Category:Third]]
	[[Category:Minor third]]		[[Category:Minor third]]

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

Fredg999: Misc. edits, categories

2022-03-21T13:08:11Z

Misc. edits, categories

← Older revision		Revision as of 13:08, 21 March 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| JI glyph =~~
	\| Ratio = 135/112		\| Ratio = 135/112
	\| Monzo = -4, 3, 1, -1		\| Monzo = -4, 3, 1, -1
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	[[Category:Third]]		[[Category:Third]]
	[[Category:Minor third]]		[[Category:Minor third]]
	~~[[Category:Interval ratio]]~~
			{{todo\|add color name}}

Aura at 02:16, 8 January 2022

2022-01-08T02:16:20Z

← Older revision		Revision as of 02:16, 8 January 2022
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	}}		}}

	'''135/112''', the '''septimal wide minor third''', or '''marvelous minor third''', is a [[7-limit]] interval which has the distinction of being almost half of a [[16/11]] minor fifth- in fact, a stack of two 135/112 differs from [[16/11]] by 200704/200475, a comma less than two cents in size. As the octave complement of 224/135 this interval functionally doubles as a type of augmented second, nevertheless, because of the relationship between 135/112 and 16/11, one can easily form a triad consisting of 1/1-135/112-16/11, to which one can then add [[135/77]] as a seventh.		'''135/112''', the '''septimal wide minor third''', or '''marvelous minor third''', is a [[7-limit]] interval which has the distinction of being almost half of a [[16/11]] minor fifth- in fact, a stack of two 135/112 differs from [[16/11]] by [[200704/200475]], a comma less than two cents in size. As the octave complement of 224/135 this interval functionally doubles as a type of augmented second, nevertheless, because of the relationship between 135/112 and 16/11, one can easily form a triad consisting of 1/1-135/112-16/11, to which one can then add [[135/77]] as a seventh.

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

Aura: additional information

2020-11-29T18:32:48Z

additional information

← Older revision		Revision as of 18:32, 29 November 2020
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	}}		}}

	'''135/112''', the '''septimal wide minor third''', or '''marvelous minor third''', is a [[7-limit]] interval which has the distinction of being almost half of a [[16/11]] minor fifth- in fact, a stack of two 135/112 differs from [[16/11]] by 200704/200475, a comma less than two cents in size. As the octave complement of 224/135 this interval functionally doubles as a type of augmented second, nevertheless, because of the relationship between 135/112 and 16/11, one can easily form a triad consisting of 1/1-135/112-16/11.		'''135/112''', the '''septimal wide minor third''', or '''marvelous minor third''', is a [[7-limit]] interval which has the distinction of being almost half of a [[16/11]] minor fifth- in fact, a stack of two 135/112 differs from [[16/11]] by 200704/200475, a comma less than two cents in size. As the octave complement of 224/135 this interval functionally doubles as a type of augmented second, nevertheless, because of the relationship between 135/112 and 16/11, one can easily form a triad consisting of 1/1-135/112-16/11, to which one can then add [[135/77]] as a seventh.

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

Aura: Added information about the musical uses of 135/112

2020-11-29T15:05:25Z

Added information about the musical uses of 135/112

← Older revision		Revision as of 15:05, 29 November 2020
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	}}		}}

	'''135/112''', the '''septimal wide minor third''', or '''marvelous minor third''', is a [[7-limit]] interval which has the distinction of being almost half of a [[16/11]] minor fifth- in fact, a stack of two 135/112 differs from [[16/11]] by 200704/200475, a comma less than two cents in size. As the octave complement of 224/135 this interval functionally doubles as a type of augmented second.		'''135/112''', the '''septimal wide minor third''', or '''marvelous minor third''', is a [[7-limit]] interval which has the distinction of being almost half of a [[16/11]] minor fifth- in fact, a stack of two 135/112 differs from [[16/11]] by 200704/200475, a comma less than two cents in size. As the octave complement of 224/135 this interval functionally doubles as a type of augmented second, nevertheless, because of the relationship between 135/112 and 16/11, one can easily form a triad consisting of 1/1-135/112-16/11.

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

Aura at 14:45, 29 November 2020

2020-11-29T14:45:04Z

← Older revision		Revision as of 14:45, 29 November 2020
Line 10:		Line 10:
	}}		}}

	'''135/112''', the '''septimal wide minor third''', or '''marvelous minor third''', is a [[7-limit]] interval which has the distinction of being almost half of a [[16/11]] minor fifth- in fact, a stack of two 135/112 differs from [[16/11]] by 200704/200475, a comma less than two cents in size. As the octave complement of 224/135 this interval is functionally a type of augmented second.		'''135/112''', the '''septimal wide minor third''', or '''marvelous minor third''', is a [[7-limit]] interval which has the distinction of being almost half of a [[16/11]] minor fifth- in fact, a stack of two 135/112 differs from [[16/11]] by 200704/200475, a comma less than two cents in size. As the octave complement of 224/135 this interval functionally doubles as a type of augmented second.

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