18/13 - Revision history

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

2025-11-03T13:11:55Z

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

← Older revision		Revision as of 13:11, 3 November 2025
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	The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8]] and [[9/8]] are both a little sharp. The inversion of 18/13 is [[13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is [[169/162]], approximately 73.2¢.		The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8]] and [[9/8]] are both a little sharp. The inversion of 18/13 is [[13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is [[169/162]], approximately 73.2¢.
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 18/13}}		{{Interval edo approximation\|18/13}}
	== See also ==		== See also ==

Pailiaq at 07:24, 3 November 2025

2025-11-03T07:24:21Z

← Older revision		Revision as of 07:24, 3 November 2025
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	The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8]] and [[9/8]] are both a little sharp. The inversion of 18/13 is [[13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is [[169/162]], approximately 73.2¢.		The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8]] and [[9/8]] are both a little sharp. The inversion of 18/13 is [[13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is [[169/162]], approximately 73.2¢.
			== Approximation ==
			{{Interval_Edo_Approximation \| 18/13}}
	== See also ==		== See also ==

Plumtree: Normalising usage of Infobox Interval

2022-10-25T12:35:03Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 12:35, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 18/13~~		\| Name = tridecimal augmented fourth, low tritone
	~~\| Monzo = 1 2 0 0 0 -1~~
	~~\| Cents = 563.38234~~
	\| Name = tridecimal augmented fourth, ~~<br>~~ low tritone
	\| Color name = 3u4, thu 4th		\| Color name = 3u4, thu 4th
	~~\| FJS name = A4<sub>13</sub>~~
	\| Sound = jid_18_13_pluck_adu_dr220.mp3		\| Sound = jid_18_13_pluck_adu_dr220.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:13-limit]]~~
	[[Category:Tritone]]		[[Category:Tritone]]

Fredg999: Misc. edits, categories

2021-12-15T03:19:13Z

Misc. edits, categories

← Older revision		Revision as of 03:19, 15 December 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 18/13		\| Ratio = 18/13
	\| Monzo = 1 2 0 0 0 -1		\| Monzo = 1 2 0 0 0 -1
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	[[Category:13-limit]]		[[Category:13-limit]]
	~~[[Category:Interval]]~~
	~~[[Category:Just interval]]~~
	~~[[Category:Ratio]]~~
	[[Category:Tritone]]		[[Category:Tritone]]

Godtone: Undo revision 69726 by Godtone (talk)

2021-05-12T04:40:44Z

Undo revision 69726 by Godtone (talk)

← Older revision		Revision as of 04:40, 12 May 2021
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	\| Ratio = 18/13		\| Ratio = 18/13
	\| Monzo = 1 2 0 0 0 -1		\| Monzo = 1 2 0 0 0 -1
	\| Cents = ~~568~~.~~71743~~		\| Cents = 563.38234
	\| Name = tridecimal augmented fourth, <br> low tritone		\| Name = tridecimal augmented fourth, <br> low tritone
	\| Color name = 3u4, thu 4th		\| Color name = 3u4, thu 4th

Godtone: corrected cent value

2021-05-12T04:39:08Z

corrected cent value

← Older revision		Revision as of 04:39, 12 May 2021
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	\| Ratio = 18/13		\| Ratio = 18/13
	\| Monzo = 1 2 0 0 0 -1		\| Monzo = 1 2 0 0 0 -1
	\| Cents = ~~563~~.~~38234~~		\| Cents = 568.71743
	\| Name = tridecimal augmented fourth, <br> low tritone		\| Name = tridecimal augmented fourth, <br> low tritone
	\| Color name = 3u4, thu 4th		\| Color name = 3u4, thu 4th

Aura: Added a link from which to create a new article

2020-11-23T21:36:36Z

Added a link from which to create a new article

← Older revision		Revision as of 21:36, 23 November 2020
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	In [[13-limit]] [[just intonation]], '''18/13''', the '''tridecimal augmented fourth''' is a '''low [[tritone]]''' measuring about 563.4¢. It represents the interval between the 13th and 18th harmonics of the [[overtone scales\|harmonic series]].		In [[13-limit]] [[just intonation]], '''18/13''', the '''tridecimal augmented fourth''' is a '''low [[tritone]]''' measuring about 563.4¢. It represents the interval between the 13th and 18th harmonics of the [[overtone scales\|harmonic series]].

	The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8]] and [[9/8]] are both a little sharp. The inversion of 18/13 is [[13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.		The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8]] and [[9/8]] are both a little sharp. The inversion of 18/13 is [[13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is [[169/162]], approximately 73.2¢.

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

Xenwolf: name ordering, name in introduction, tritone linked in text, removed from see-also section

2020-09-27T15:08:58Z

name ordering, name in introduction, tritone linked in text, removed from see-also section

← Older revision		Revision as of 15:08, 27 September 2020
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	\| Monzo = 1 2 0 0 0 -1		\| Monzo = 1 2 0 0 0 -1
	\| Cents = 563.38234		\| Cents = 563.38234
	\| Name = ~~low tritone~~, <br>~~tridecimal augmented fourth~~		\| Name = tridecimal augmented fourth, <br> low tritone
	\| Color name = 3u4, thu 4th		\| Color name = 3u4, thu 4th
	\| FJS name = A4<sub>13</sub>		\| FJS name = A4<sub>13</sub>
Line 10:		Line 10:
	}}		}}

	In [[13-limit]] [[just intonation]], '''18/13''' is a '''low tritone''' measuring about 563.4¢. It represents the interval between the 13th and 18th harmonics of the [[overtone scales\|harmonic series]].		In [[13-limit]] [[just intonation]], '''18/13''', the '''tridecimal augmented fourth''' is a '''low [[tritone]]''' measuring about 563.4¢. It represents the interval between the 13th and 18th harmonics of the [[overtone scales\|harmonic series]].

	The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8]] and [[9/8]] are both a little sharp. The inversion of 18/13 is [[13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.		The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8]] and [[9/8]] are both a little sharp. The inversion of 18/13 is [[13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.

	== See also ==		== See also ==
	* [[Tritone]]
	* [[13/9]] – its [[octave complement]]		* [[13/9]] – its [[octave complement]]
	* [[13/12]] – its [[fifth complement]]		* [[13/12]] – its [[fifth complement]]

FloraC: +FJS name; cleanup

2020-09-20T10:37:00Z

+FJS name; cleanup

← Older revision		Revision as of 10:37, 20 September 2020
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	\| Monzo = 1 2 0 0 0 -1		\| Monzo = 1 2 0 0 0 -1
	\| Cents = 563.38234		\| Cents = 563.38234
	\| Name = low tritone <br/> tridecimal augmented fourth		\| Name = low tritone, <br>tridecimal augmented fourth
	\| Color name = 3u4, thu 4th		\| Color name = 3u4, thu 4th
			\| FJS name = A4<sub>13</sub>
	\| Sound = jid_18_13_pluck_adu_dr220.mp3		\| Sound = jid_18_13_pluck_adu_dr220.mp3
	}}		}}

	In [[13-limit]] [[just intonation]], '''18/13''' is a low [[tritone]] measuring about 563.4¢. It represents the interval between the 13th and 18th harmonics of the [[overtone scales\|harmonic series]]. The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8]] and [[9/8]] are both a little sharp. The inversion of 18/13 is [[13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.		In [[13-limit]] [[just intonation]], '''18/13''' is a '''low tritone''' measuring about 563.4¢. It represents the interval between the 13th and 18th harmonics of the [[overtone scales\|harmonic series]].

			The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8]] and [[9/8]] are both a little sharp. The inversion of 18/13 is [[13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.

	== See also ==		== See also ==
			* [[Tritone]]
			* [[13/9]] – its [[octave complement]]
			* [[13/12]] – its [[fifth complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[13/9]] -- its [[inversion]]

	[[Category:13-limit]]		[[Category:13-limit]]
	~~[[Category:15-odd-limit]]~~
	[[Category:Interval]]		[[Category:Interval]]
	[[Category:Just interval]]		[[Category:Just interval]]
	[[Category:Ratio]]		[[Category:Ratio]]
	[[Category:Tritone]]		[[Category:Tritone]]

Xenwolf: +2nd name

2018-10-29T16:17:39Z

+2nd name

← Older revision		Revision as of 16:17, 29 October 2018
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	\| Monzo = 1 2 0 0 0 -1		\| Monzo = 1 2 0 0 0 -1
	\| Cents = 563.38234		\| Cents = 563.38234
	\| Name = low tritone		\| Name = low tritone <br/> tridecimal augmented fourth
	\| Color name =		\| Color name = 3u4, thu 4th
	\| Sound = jid_18_13_pluck_adu_dr220.mp3		\| Sound = jid_18_13_pluck_adu_dr220.mp3
	}}		}}