14/13 - Revision history

FloraC: Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"

2025-11-03T13:12:08Z

Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"

← Older revision		Revision as of 13:12, 3 November 2025
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	In [[13-limit]] [[just intonation]], 14/13 represents the difference in size between the tridecimal minor third of [[13/11]] and undecimal major third of [[14/11]]. It is also the difference between [[13/10]] and [[7/5]]; [[13/12]] and [[7/6]]; [[13/9]] and [[14/9]], and of course [[13/8]] and [[7/4]] and the inversions of the above. As it combines the primes 7 and 13, it appears in JI subgroup tunings involving those primes.		In [[13-limit]] [[just intonation]], 14/13 represents the difference in size between the tridecimal minor third of [[13/11]] and undecimal major third of [[14/11]]. It is also the difference between [[13/10]] and [[7/5]]; [[13/12]] and [[7/6]]; [[13/9]] and [[14/9]], and of course [[13/8]] and [[7/4]] and the inversions of the above. As it combines the primes 7 and 13, it appears in JI subgroup tunings involving those primes.
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 14/13}}		{{Interval edo approximation\|14/13}}
	== See also ==		== See also ==
	* [[13/7]] – its [[octave complement]]		* [[13/7]] – its [[octave complement]]

Pailiaq at 06:35, 3 November 2025

2025-11-03T06:35:11Z

← Older revision		Revision as of 06:35, 3 November 2025
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	In [[13-limit]] [[just intonation]], 14/13 represents the difference in size between the tridecimal minor third of [[13/11]] and undecimal major third of [[14/11]]. It is also the difference between [[13/10]] and [[7/5]]; [[13/12]] and [[7/6]]; [[13/9]] and [[14/9]], and of course [[13/8]] and [[7/4]] and the inversions of the above. As it combines the primes 7 and 13, it appears in JI subgroup tunings involving those primes.		In [[13-limit]] [[just intonation]], 14/13 represents the difference in size between the tridecimal minor third of [[13/11]] and undecimal major third of [[14/11]]. It is also the difference between [[13/10]] and [[7/5]]; [[13/12]] and [[7/6]]; [[13/9]] and [[14/9]], and of course [[13/8]] and [[7/4]] and the inversions of the above. As it combines the primes 7 and 13, it appears in JI subgroup tunings involving those primes.
			== Approximation ==
			{{Interval_Edo_Approximation \| 14/13}}
	== See also ==		== See also ==
	* [[13/7]] – its [[octave complement]]		* [[13/7]] – its [[octave complement]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T14:12:34Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 14:12, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 14/13~~		\| Name = tridecimal 2/3-tone, trienthird, tridecimal supraminor second, sinaic
	~~\| Monzo = 1 0 0 1 0 -1~~
	~~\| Cents = 128.29824~~
	\| Name = tridecimal 2/3-tone, ~~<br>~~trienthird, ~~<br>~~tridecimal supraminor second, ~~<br>~~sinaic
	\| Color name = 3uz2, thuzo 2nd		\| Color name = 3uz2, thuzo 2nd
	~~\| FJS name = M2<sup>7</sup><sub>13</sub>~~
	\| Sound = jid_14_13_pluck_adu_dr220.mp3		\| Sound = jid_14_13_pluck_adu_dr220.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:13-limit]]~~
	[[Category:Second]]		[[Category:Second]]
	[[Category:Neutral second]]		[[Category:Neutral second]]
	[[Category:Supraminor second]]		[[Category:Supraminor second]]
	[[Category:Semitone]]		[[Category:Semitone]]

Fredg999 category edits: Removing from Category:Pages with internal sound examples using Cat-a-lot

2022-02-22T23:46:41Z

Removing from Category:Pages with internal sound examples using Cat-a-lot

← Older revision		Revision as of 23:46, 22 February 2022
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	[[Category:Supraminor second]]		[[Category:Supraminor second]]
	[[Category:Semitone]]		[[Category:Semitone]]
	~~[[Category:Pages with internal sound examples]]~~

TallKite: added the color name

2022-02-13T04:14:52Z

added the color name

← Older revision		Revision as of 04:14, 13 February 2022
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	\| Cents = 128.29824		\| Cents = 128.29824
	\| Name = tridecimal 2/3-tone, <br>trienthird, <br>tridecimal supraminor second, <br>sinaic		\| Name = tridecimal 2/3-tone, <br>trienthird, <br>tridecimal supraminor second, <br>sinaic
	\| Color name =		\| Color name = 3uz2, thuzo 2nd
	\| FJS name = M2<sup>7</sup><sub>13</sub>		\| FJS name = M2<sup>7</sup><sub>13</sub>
	\| Sound = jid_14_13_pluck_adu_dr220.mp3		\| Sound = jid_14_13_pluck_adu_dr220.mp3

Fredg999: Misc. edits, categories

2021-12-12T19:54:00Z

Misc. edits, categories

← Older revision		Revision as of 19:54, 12 December 2021
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	The trienthird was a favorite interval of [[Wikipedia:Avicenna\|Avicenna]] (Ibn Sina) for his scale constructions, and may be considered a smaller size of neutral second (a second between major and minor). Thus intervals close in size to it have been called '''sinaics''' by [[Zhea Erose]]. It may be called the '''tridecimal supraminor second''' as well, analogous to [[21/13]] being the ''tridecimal supraminor sixth''.		The trienthird was a favorite interval of [[Wikipedia:Avicenna\|Avicenna]] (Ibn Sina) for his scale constructions, and may be considered a smaller size of neutral second (a second between major and minor). Thus intervals close in size to it have been called '''sinaics''' by [[Zhea Erose]]. It may be called the '''tridecimal supraminor second''' as well, analogous to [[21/13]] being the ''tridecimal supraminor sixth''.

	In [[13-limit]] [[~~Just Intonation~~]], 14/13 represents the difference in size between the tridecimal minor third of [[13/11]] and undecimal major third of [[14/11]]. It is also the difference between [[13/10]] and [[7/5]]; [[13/12]] and [[7/6]]; [[13/9]] and [[14/9]], and of course [[13/8]] and [[7/4]] and the inversions of the above. As it combines the primes 7 and 13, it appears in JI subgroup tunings involving those primes.		In [[13-limit]] [[just intonation]], 14/13 represents the difference in size between the tridecimal minor third of [[13/11]] and undecimal major third of [[14/11]]. It is also the difference between [[13/10]] and [[7/5]]; [[13/12]] and [[7/6]]; [[13/9]] and [[14/9]], and of course [[13/8]] and [[7/4]] and the inversions of the above. As it combines the primes 7 and 13, it appears in JI subgroup tunings involving those primes.

	== See also ==		== See also ==
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	[[Category:13-limit]]		[[Category:13-limit]]
	~~[[Category:Interval]]~~
	~~[[Category:Just interval]]~~
	~~[[Category:Ratio]]~~
	[[Category:Second]]		[[Category:Second]]
	[[Category:Neutral second]]		[[Category:Neutral second]]

FloraC: +alternative name "tridecimal supraminor second"

2021-11-16T16:49:19Z

+alternative name "tridecimal supraminor second"

← Older revision		Revision as of 16:49, 16 November 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 14/13		\| Ratio = 14/13
	\| Monzo = 1 0 0 1 0 -1		\| Monzo = 1 0 0 1 0 -1
	\| Cents = 128.29824		\| Cents = 128.29824
	\| Name = tridecimal 2/3-tone, <br>trienthird, <br>sinaic		\| Name = tridecimal 2/3-tone, <br>trienthird, <br>tridecimal supraminor second, <br>sinaic
	\| Color name =		\| Color name =
	\| FJS name = M2<sup>7</sup><sub>13</sub>		\| FJS name = M2<sup>7</sup><sub>13</sub>
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	}}		}}

	'''14/13''', the '''2/3-tone''' or '''trienthird''' (one-third third) is a somewhat exotic 13-limit interval measuring about 128.3¢, which is almost exactly 1/3 of a [[5/4]] major third- a stack of three trienthirds falling short of a 5/4 major third by a [[10985/10976\|cantonisma]].		'''14/13''', the '''tridecimal 2/3-tone''' or '''trienthird''' (one-third third) is a somewhat exotic 13-limit interval measuring about 128.3¢, which is almost exactly 1/3 of a [[5/4]] major third- a stack of three trienthirds falling short of a 5/4 major third by a [[10985/10976\|cantonisma]].

	The trienthird was a favorite interval of [[Wikipedia:Avicenna\|Avicenna]] (Ibn Sina) for his scale constructions, and may be considered a smaller size of neutral second (a second between major and minor). Thus intervals close in size to it have been called '''sinaics''' by [[Zhea Erose]].		The trienthird was a favorite interval of [[Wikipedia:Avicenna\|Avicenna]] (Ibn Sina) for his scale constructions, and may be considered a smaller size of neutral second (a second between major and minor). Thus intervals close in size to it have been called '''sinaics''' by [[Zhea Erose]]. It may be called the '''tridecimal supraminor second''' as well, analogous to [[21/13]] being the ''tridecimal supraminor sixth''.

	In [[13-limit]] [[Just Intonation]], 14/13 represents the difference in size between the tridecimal minor third of [[13/11]] and undecimal major third of [[14/11]]. It is also the difference between [[13/10]] and [[7/5]]; [[13/12]] and [[7/6]]; [[13/9]] and [[14/9]], and of course [[13/8]] and [[7/4]] and the inversions of the above. As it combines the primes 7 and 13, it appears in JI subgroup tunings involving those primes.		In [[13-limit]] [[Just Intonation]], 14/13 represents the difference in size between the tridecimal minor third of [[13/11]] and undecimal major third of [[14/11]]. It is also the difference between [[13/10]] and [[7/5]]; [[13/12]] and [[7/6]]; [[13/9]] and [[14/9]], and of course [[13/8]] and [[7/4]] and the inversions of the above. As it combines the primes 7 and 13, it appears in JI subgroup tunings involving those primes.
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	[[Category:Second]]		[[Category:Second]]
	[[Category:Neutral second]]		[[Category:Neutral second]]
			[[Category:Supraminor second]]
	[[Category:Semitone]]		[[Category:Semitone]]
	[[Category:Pages with internal sound examples]]		[[Category:Pages with internal sound examples]]

Inthar at 02:44, 18 April 2021

2021-04-18T02:44:28Z

← Older revision		Revision as of 02:44, 18 April 2021
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	}}		}}

	'''14/13''', the '''2/3-tone''' or '''trienthird''' (one-third third)~~, nicknamed the '''sinaic''' by [[Zhea Erose]] (after Ibn Sina who used it in one of his scales),~~ is a somewhat exotic 13-limit interval measuring about 128.3¢, which is almost exactly 1/3 of a [[5/4]] major third- a stack of three trienthirds falling short of a 5/4 major third by a [[10985/10976\|cantonisma]].		'''14/13''', the '''2/3-tone''' or '''trienthird''' (one-third third) is a somewhat exotic 13-limit interval measuring about 128.3¢, which is almost exactly 1/3 of a [[5/4]] major third- a stack of three trienthirds falling short of a 5/4 major third by a [[10985/10976\|cantonisma]].

	The trienthird was a favorite interval of [[Wikipedia:Avicenna\|Avicenna]] (Ibn Sina) for his scale constructions, and may be considered a smaller size of neutral second (a second between major and minor). Thus intervals close in size to it have been called ''sinaics''.		The trienthird was a favorite interval of [[Wikipedia:Avicenna\|Avicenna]] (Ibn Sina) for his scale constructions, and may be considered a smaller size of neutral second (a second between major and minor). Thus intervals close in size to it have been called '''sinaics''' by [[Zhea Erose]].

	In [[13-limit]] [[Just Intonation]], 14/13 represents the difference in size between the tridecimal minor third of [[13/11]] and undecimal major third of [[14/11]]. It is also the difference between [[13/10]] and [[7/5]]; [[13/12]] and [[7/6]]; [[13/9]] and [[14/9]], and of course [[13/8]] and [[7/4]] and the inversions of the above. As it combines the primes 7 and 13, it appears in JI subgroup tunings involving those primes.		In [[13-limit]] [[Just Intonation]], 14/13 represents the difference in size between the tridecimal minor third of [[13/11]] and undecimal major third of [[14/11]]. It is also the difference between [[13/10]] and [[7/5]]; [[13/12]] and [[7/6]]; [[13/9]] and [[14/9]], and of course [[13/8]] and [[7/4]] and the inversions of the above. As it combines the primes 7 and 13, it appears in JI subgroup tunings involving those primes.

Inthar: made parenthetical comment easier to read

2021-04-17T01:24:50Z

made parenthetical comment easier to read

← Older revision		Revision as of 01:24, 17 April 2021
Line 10:		Line 10:
	}}		}}

	'''14/13''', the '''2/3-tone''' or '''trienthird''' (one-third third), nicknamed the '''sinaic''' (after Ibn Sina who used it in one of his scales) ~~by [[Zhea Erose]]~~, is a somewhat exotic 13-limit interval measuring about 128.3¢, which is almost exactly 1/3 of a [[5/4]] major third- a stack of three trienthirds falling short of a 5/4 major third by a [[10985/10976\|cantonisma]].		'''14/13''', the '''2/3-tone''' or '''trienthird''' (one-third third), nicknamed the '''sinaic''' by [[Zhea Erose]] (after Ibn Sina who used it in one of his scales), is a somewhat exotic 13-limit interval measuring about 128.3¢, which is almost exactly 1/3 of a [[5/4]] major third- a stack of three trienthirds falling short of a 5/4 major third by a [[10985/10976\|cantonisma]].

	The trienthird was a favorite interval of [[Wikipedia:Avicenna\|Avicenna]] (Ibn Sina) for his scale constructions, and may be considered a smaller size of neutral second (a second between major and minor). Thus intervals close in size to it have been called ''sinaics''.		The trienthird was a favorite interval of [[Wikipedia:Avicenna\|Avicenna]] (Ibn Sina) for his scale constructions, and may be considered a smaller size of neutral second (a second between major and minor). Thus intervals close in size to it have been called ''sinaics''.

Inthar: Clarify who coined "sinaic"

2021-04-16T09:53:01Z

Clarify who coined "sinaic"

← Older revision		Revision as of 09:53, 16 April 2021
Line 10:		Line 10:
	}}		}}

	'''14/13''', the '''2/3-tone''' or '''trienthird''' (one-third third), nicknamed the '''sinaic''' (after Ibn Sina who used it in one of his scales), is a somewhat exotic 13-limit interval measuring about 128.3¢, which is almost exactly 1/3 of a [[5/4]] major third- a stack of three trienthirds falling short of a 5/4 major third by a [[10985/10976\|cantonisma]].		'''14/13''', the '''2/3-tone''' or '''trienthird''' (one-third third), nicknamed the '''sinaic''' (after Ibn Sina who used it in one of his scales) by [[Zhea Erose]], is a somewhat exotic 13-limit interval measuring about 128.3¢, which is almost exactly 1/3 of a [[5/4]] major third- a stack of three trienthirds falling short of a 5/4 major third by a [[10985/10976\|cantonisma]].

	The trienthird was a favorite interval of [[Wikipedia:Avicenna\|Avicenna]] (Ibn Sina) for his scale constructions, and may be considered a smaller size of neutral second (a second between major and minor). Thus intervals close in size to it have been called ''sinaics''.		The trienthird was a favorite interval of [[Wikipedia:Avicenna\|Avicenna]] (Ibn Sina) for his scale constructions, and may be considered a smaller size of neutral second (a second between major and minor). Thus intervals close in size to it have been called ''sinaics''.