27/22 - Revision history

Hotcrystal0: mention its closeness to 13\44

2026-03-11T16:45:23Z

mention its closeness to 13\44

← Older revision		Revision as of 16:45, 11 March 2026
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	}}		}}

	'''27/22''', conventionally called the '''rastmic neutral third''', is [[243/242]] (7.1{{cent}}) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions. As this is the larger of two [[11-limit]] neutral thirds obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''Alpharabian tendoneutral third''' in [[Alpharabian tuning]].		'''27/22''', conventionally called the '''rastmic neutral third''', is [[243/242]] (7.1{{cent}}) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions. As this is the larger of two [[11-limit]] neutral thirds obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''Alpharabian tendoneutral third''' in [[Alpharabian tuning]]. It is extremely close to [[44edo]]'s 13\44 neutral third, however the first multiple of 44edo to map it consistently is [[176edo]].
	== Approximation ==		== Approximation ==
	{{Interval edo approximation\|27/22}}		{{Interval edo approximation\|27/22}}

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

2025-11-03T13:08:16Z

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

← Older revision		Revision as of 13:08, 3 November 2025
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	'''27/22''', conventionally called the '''rastmic neutral third''', is [[243/242]] (7.1{{cent}}) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions. As this is the larger of two [[11-limit]] neutral thirds obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''Alpharabian tendoneutral third''' in [[Alpharabian tuning]].		'''27/22''', conventionally called the '''rastmic neutral third''', is [[243/242]] (7.1{{cent}}) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions. As this is the larger of two [[11-limit]] neutral thirds obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''Alpharabian tendoneutral third''' in [[Alpharabian tuning]].
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 27/22}}		{{Interval edo approximation\|27/22}}
	== See also ==		== See also ==
	* [[24edo]]		* [[24edo]]

Pailiaq at 07:08, 3 November 2025

2025-11-03T07:08:35Z

← Older revision		Revision as of 07:08, 3 November 2025
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	'''27/22''', conventionally called the '''rastmic neutral third''', is [[243/242]] (7.1{{cent}}) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions. As this is the larger of two [[11-limit]] neutral thirds obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''Alpharabian tendoneutral third''' in [[Alpharabian tuning]].		'''27/22''', conventionally called the '''rastmic neutral third''', is [[243/242]] (7.1{{cent}}) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions. As this is the larger of two [[11-limit]] neutral thirds obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''Alpharabian tendoneutral third''' in [[Alpharabian tuning]].
			== Approximation ==
			{{Interval_Edo_Approximation \| 27/22}}
	== See also ==		== See also ==
	* [[24edo]]		* [[24edo]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T14:41:16Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 14:41, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 27/22~~		\| Name = rastmic neutral third, Alpharabian tendoneutral third
	~~\| Monzo = -1 3 0 0 -1~~
	~~\| Cents = 354.54706~~
	\| Name = rastmic neutral third, ~~<br>~~ Alpharabian tendoneutral third
	\| Color name = 1u3, lu 3rd		\| Color name = 1u3, lu 3rd
	~~\| FJS name = M3<sub>11</sub>~~
	\| Sound = jid_27_22_pluck_adu_dr220.mp3		\| Sound = jid_27_22_pluck_adu_dr220.mp3
	}}		}}
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	* [[Iceface Tuning]]		* [[Iceface Tuning]]

	~~[[Category:11-limit]]~~
	[[Category:Third]]		[[Category:Third]]
	[[Category:Neutral third]]		[[Category:Neutral third]]
	[[Category:Rastmic]]		[[Category:Rastmic]]
	[[Category:Alpharabian]]		[[Category:Alpharabian]]

Fredg999: Misc. edits, categories

2022-03-22T18:47:50Z

Misc. edits, categories

← Older revision		Revision as of 18:47, 22 March 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 27/22		\| Ratio = 27/22
	\| Monzo = -1 3 0 0 -1		\| Monzo = -1 3 0 0 -1
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	}}		}}

	'''27/22''', conventionally called the '''rastmic neutral third''', is [[243/242]] (7.1 ~~cents~~) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions. As this is the larger of two [[11-limit]] neutral thirds obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''Alpharabian tendoneutral third''' in [[Alpharabian tuning]].		'''27/22''', conventionally called the '''rastmic neutral third''', is [[243/242]] (7.1{{cent}}) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions. As this is the larger of two [[11-limit]] neutral thirds obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''Alpharabian tendoneutral third''' in [[Alpharabian tuning]].

	== See also ==		== See also ==
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	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:~~Interval ratio]]~~		[[Category:Third]]
	~~[[Category:Just interval~~]]
	[[Category:Neutral third]]		[[Category:Neutral third]]
	~~[[Category:Third]]~~
	[[Category:Rastmic]]		[[Category:Rastmic]]
	[[Category:Alpharabian]]		[[Category:Alpharabian]]

Aura at 23:36, 29 January 2022

2022-01-29T23:36:51Z

← Older revision		Revision as of 23:36, 29 January 2022
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	\| Monzo = -1 3 0 0 -1		\| Monzo = -1 3 0 0 -1
	\| Cents = 354.54706		\| Cents = 354.54706
	\| Name = rastmic neutral third, <br> ~~greater~~ Alpharabian ~~neutral~~ third		\| Name = rastmic neutral third, <br> Alpharabian tendoneutral third
	\| Color name = 1u3, lu 3rd		\| Color name = 1u3, lu 3rd
	\| FJS name = M3<sub>11</sub>		\| FJS name = M3<sub>11</sub>
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	}}		}}

	'''27/22''', conventionally called the '''rastmic neutral third''', is [[243/242]] (7.1 cents) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions. As this is the larger of two [[11-limit]] neutral thirds obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''~~greater~~ Alpharabian ~~neutral~~ third''' in [[Alpharabian tuning]].		'''27/22''', conventionally called the '''rastmic neutral third''', is [[243/242]] (7.1 cents) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions. As this is the larger of two [[11-limit]] neutral thirds obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''Alpharabian tendoneutral third''' in [[Alpharabian tuning]].

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

Aura: Additional info and an additional name

2020-11-24T23:27:39Z

Additional info and an additional name

← Older revision		Revision as of 23:27, 24 November 2020
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	\| Monzo = -1 3 0 0 -1		\| Monzo = -1 3 0 0 -1
	\| Cents = 354.54706		\| Cents = 354.54706
	\| Name = rastmic neutral third		\| Name = rastmic neutral third, <br> greater Alpharabian neutral third
	\| Color name = 1u3, lu 3rd		\| Color name = 1u3, lu 3rd
	\| FJS name = M3<sub>11</sub>		\| FJS name = M3<sub>11</sub>
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	}}		}}

	'''27/22''' the '''rastmic neutral third''' is [[243/242]] (7.1 cents) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions.		'''27/22''', conventionally called the '''rastmic neutral third''', is [[243/242]] (7.1 cents) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions. As this is the larger of two [[11-limit]] neutral thirds obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''greater Alpharabian neutral third''' in [[Alpharabian tuning]].

	== See also ==		== See also ==
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	[[Category:Third]]		[[Category:Third]]
	[[Category:Rastmic]]		[[Category:Rastmic]]
			[[Category:Alpharabian]]

FloraC: +FJS name; cleanup

2020-09-20T06:46:22Z

+FJS name; cleanup

← Older revision		Revision as of 06:46, 20 September 2020
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	\| Name = rastmic neutral third		\| Name = rastmic neutral third
	\| Color name = 1u3, lu 3rd		\| Color name = 1u3, lu 3rd
			\| FJS name = M3<sub>11</sub>
	\| Sound = jid_27_22_pluck_adu_dr220.mp3		\| Sound = jid_27_22_pluck_adu_dr220.mp3
	}}		}}

	'''27/22''' the '''rastmic neutral third''' is 243/242 (7.1 cents) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]] and 11/9 and [[3/2]] and their inversions.		'''27/22''' the '''rastmic neutral third''' is [[243/242]] (7.1 cents) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions.

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

	* [[24edo]]		* [[24edo]]
			* [[44/27]] – its [[octave complement]]
			* [[11/9]] – its [[fifth complement]]
			* [[Gallery of just intervals]]
	* [[Iceface Tuning]]		* [[Iceface Tuning]]
	* [[Gallery of just intervals]]

	[[Category:11-limit]]		[[Category:11-limit]]
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	[[Category:Neutral third]]		[[Category:Neutral third]]
	[[Category:Third]]		[[Category:Third]]
			[[Category:Rastmic]]

Xenwolf: cats

2020-06-10T07:09:05Z

cats

← Older revision		Revision as of 07:09, 10 June 2020
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	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:Interval]]		[[Category:Interval ratio]]
	[[Category:Just interval]]		[[Category:Just interval]]
	[[Category:Neutral third]]		[[Category:Neutral third]]
	~~[[Category:Ratio]]~~
	[[Category:Third]]		[[Category:Third]]

Xenwolf: recat, added see-also section

2020-06-07T14:43:44Z

recat, added see-also section

← Older revision		Revision as of 14:43, 7 June 2020
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	'''27/22''' the '''rastmic neutral third''' is 243/242 (7.1 cents) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]] and 11/9 and [[3/2]] and their inversions.		'''27/22''' the '''rastmic neutral third''' is 243/242 (7.1 cents) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]] and 11/9 and [[3/2]] and their inversions.

			== See also ==

			* [[24edo]]
			* [[Iceface Tuning]]
			* [[Gallery of just intervals]]

	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:Interval]]		[[Category:Interval]]
	[[Category:Just interval]]		[[Category:Just interval]]
	[[Category:Neutral ~~3rd~~]]		[[Category:Neutral third]]
	[[Category:Ratio]]		[[Category:Ratio]]
	[[Category:Third]]		[[Category:Third]]
	~~[[Category:todo:expand]]~~