Alpharabian comma - Revision history

FloraC: Note the ranks

2026-05-15T11:35:17Z

Note the ranks

← Older revision		Revision as of 11:35, 15 May 2026
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	== Temperaments ==		== Temperaments ==
	Tempering out the Alpharabian comma in the 11-limit results in the '''alphaxenic''' temperament (→ [[Catalog of rank-4 temperaments #Alphaxenic (131769/131072)]]), or in the 2.3.11 subgroup, the '''alphaxenean''' temperament (→ [[No-fives subgroup temperaments #Alphaxenean]]).		Tempering out the Alpharabian comma in the 11-limit results in the rank-4 '''alphaxenic''' temperament (→ [[Catalog of rank-4 temperaments #Alphaxenic (131769/131072)]]), or in the 2.3.11 subgroup, the rank-2 '''alphaxenean''' temperament (→ [[No-fives subgroup temperaments #Alphaxenean]]).

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

FloraC: Update

2026-05-15T11:34:34Z

Update

← Older revision		Revision as of 11:34, 15 May 2026
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	== Temperaments ==		== Temperaments ==
	Tempering out the Alpharabian comma in the 11-limit results in the '''alphaxenic''' temperament (→ [[Catalog of rank-4 temperaments #Alphaxenic (131769/131072)]]), or in the 2.3.11 subgroup, the '''alphaxenean''' temperament.		Tempering out the Alpharabian comma in the 11-limit results in the '''alphaxenic''' temperament (→ [[Catalog of rank-4 temperaments #Alphaxenic (131769/131072)]]), or in the 2.3.11 subgroup, the '''alphaxenean''' temperament (→ [[No-fives subgroup temperaments #Alphaxenean]]).

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

FloraC: Re-organize a little

2026-05-15T11:18:44Z

Re-organize a little

← Older revision		Revision as of 11:18, 15 May 2026
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	\| Comma = yes		\| Comma = yes
	}}		}}
			The '''Alpharabian comma''' ({{monzo\|legend=1\| -17 2 0 0 4 }}, [[ratio]]: 131769/131072) is a [[small comma\|small]] [[11-limit]] (also 2.3.11 [[subgroup]]) [[comma]] measuring about 9.2{{cent}}. It is the amount by which a stack of four [[33/32]] quartertones exceeds a [[9/8]] whole tone, and the amount by which a stack of two [[128/121]] diatonic semitones falls short of a 9/8 whole tone.

	The '''Alpharabian ~~comma'~~'' ({{monzo\|legend=1\| -17 2 0 0 4 }}, [[ratio]]: 131769/131072) is a [[small comma\|small]] [[11-limit]] (also 2.3.11 [[subgroup]]) [[comma]] measuring about 9.2{{cent}}. It is the amount by which a stack of two [[128/121]] diatonic semitones falls short of a [[9/8]] whole tone, and the amount by which a stack of four [[33/32]] quartertones exceeds a 9/8 whole tone. The term "Alpharabian" comes from Alpharabius – another name for Al-Farabi – and was chosen due to the fact that 33/32, also known as the the Al-Farabi ~~Quartertone~~, is the primary parachroma of the 11-limit, a fact which lends itself to the idea of just 2.3.11 tuning being called "[[Alpharabian tuning]]" in the same way that just 3-limit tuning is called "[[Pythagorean tuning]]". Of note is that the Alpharabian comma and the [[Pythagorean comma]] are similar in that both commas represent the difference between two of their respective ''p''-limit's primary diatonic semitones and a 9/8 whole tone.		The term ''Alpharabian'' comes from Alpharabius – another name for Al-Farabi – and was chosen due to the fact that 33/32, also known as the the Al-Farabi quartertone, is the primary parachroma of the 11-limit, a fact which lends itself to the idea of just 2.3.11 tuning being called ''[[Alpharabian tuning]]'' in the same way that just 3-limit tuning is called ''[[Pythagorean tuning]]''. Of note is that the Alpharabian comma and the [[Pythagorean comma]] are similar in that both commas represent the difference between two of their respective ''p''-limit's primary diatonic semitones and a 9/8 whole tone.

	== Temperaments ==		== Temperaments ==

FloraC: Cleanup

2026-05-15T11:16:32Z

Cleanup

← Older revision		Revision as of 11:16, 15 May 2026
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	}}		}}

	The '''Alpharabian comma''' ({{monzo\|legend=1\| -17 2 0 0 4 }}, [[ratio]]: 131769/131072) is an [[11-limit]] (also 2.3.11 [[subgroup]]) [[comma]] measuring about 9.2{{cent}}. It is the amount by which a stack of two [[128/121]] diatonic semitones falls short of a [[9/8]] whole tone, and the amount by which a stack of four [[33/32]] quartertones exceeds a 9/8 whole tone. The term "Alpharabian" comes from Alpharabius – another name for Al-Farabi – and was chosen due to the fact that 33/32, also known as the the Al-Farabi Quartertone, is the primary parachroma of the 11-limit, a fact which lends itself to the idea of just 2.3.11 tuning being called "[[Alpharabian tuning]]" in the same way that just 3-limit tuning is called "[[Pythagorean tuning]]". Of note is that the Alpharabian comma and the [[Pythagorean comma]] are similar in that both commas represent the difference between two of their respective ''p''-limit's primary diatonic semitones and a 9/8 whole tone.		The '''Alpharabian comma''' ({{monzo\|legend=1\| -17 2 0 0 4 }}, [[ratio]]: 131769/131072) is a [[small comma\|small]] [[11-limit]] (also 2.3.11 [[subgroup]]) [[comma]] measuring about 9.2{{cent}}. It is the amount by which a stack of two [[128/121]] diatonic semitones falls short of a [[9/8]] whole tone, and the amount by which a stack of four [[33/32]] quartertones exceeds a 9/8 whole tone. The term "Alpharabian" comes from Alpharabius – another name for Al-Farabi – and was chosen due to the fact that 33/32, also known as the the Al-Farabi Quartertone, is the primary parachroma of the 11-limit, a fact which lends itself to the idea of just 2.3.11 tuning being called "[[Alpharabian tuning]]" in the same way that just 3-limit tuning is called "[[Pythagorean tuning]]". Of note is that the Alpharabian comma and the [[Pythagorean comma]] are similar in that both commas represent the difference between two of their respective ''p''-limit's primary diatonic semitones and a 9/8 whole tone.

	== Temperaments ==		== Temperaments ==
	Tempering out the Alpharabian comma in the 11-limit results in the '''alphaxenic ~~temperament~~''', or in the 2.3.11 subgroup the '''alphaxenean ~~temperament~~'''.		Tempering out the Alpharabian comma in the 11-limit results in the '''alphaxenic''' temperament (→ [[Catalog of rank-4 temperaments #Alphaxenic (131769/131072)]]), or in the 2.3.11 subgroup, the '''alphaxenean''' temperament.

	== See also ==		== See also ==
	* [[Alphaxenic rank ~~three~~ clan]]		* [[Alphaxenic rank-3 clan]]
	* [[Small comma]]

	[[Category:Alpharabian]]		[[Category:Alpharabian]]

BudjarnLambeth at 20:40, 5 November 2024

2024-11-05T20:40:34Z

← Older revision		Revision as of 20:40, 5 November 2024
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	[[Category:Alphaxenic]]		[[Category:Alphaxenic]]
	[[Category:Commas named for their regular temperament properties]]		[[Category:Commas named for their regular temperament properties]]
			[[Category:Commas named after polymaths]]

BudjarnLambeth at 13:21, 3 November 2024

2024-11-03T13:21:24Z

← Older revision		Revision as of 13:21, 3 November 2024
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	[[Category:Alpharabian]]		[[Category:Alpharabian]]
	[[Category:Alphaxenic]]		[[Category:Alphaxenic]]
			[[Category:Commas named for their regular temperament properties]]

FloraC: We agreed the corresponding temperament shouldn't be "alpharabian"

2023-06-17T06:39:11Z

We agreed the corresponding temperament shouldn't be "alpharabian"

← Older revision		Revision as of 06:39, 17 June 2023
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	}}		}}

	The '''Alpharabian comma''' is ~~the~~ [[11-limit]] ~~interval '''131769/131072'''~~ measuring about 9.2~~[[¢]]~~. It is the amount by which a stack of two [[128/121]] diatonic semitones falls short of a [[9/8]] whole tone, and the amount by which a stack of four [[33/32]] quartertones exceeds a 9/8 whole tone. The term "Alpharabian" comes from Alpharabius – another name for Al-Farabi – and was chosen due to the fact that 33/32, also known as the the Al-Farabi Quartertone, is the primary ~~parachorma~~ of the 11-limit, a fact which lends itself to the idea of just 2.3.11 tuning being called "Alpharabian tuning" in the same way that just 3-limit tuning is called "Pythagorean tuning". Of note is that the Alpharabian comma and the [[Pythagorean comma]] are similar in that both commas represent the difference between two of their respective p-limit's primary diatonic semitones and a 9/8 whole tone. Tempering out the Alpharabian comma results in ~~one of~~ the ~~various~~ '''~~[[Alpharabian temperaments]]~~'''.		The '''Alpharabian comma''' ({{monzo\|legend=1\| -17 2 0 0 4 }}, [[ratio]]: 131769/131072) is an [[11-limit]] (also 2.3.11 [[subgroup]]) [[comma]] measuring about 9.2{{cent}}. It is the amount by which a stack of two [[128/121]] diatonic semitones falls short of a [[9/8]] whole tone, and the amount by which a stack of four [[33/32]] quartertones exceeds a 9/8 whole tone. The term "Alpharabian" comes from Alpharabius – another name for Al-Farabi – and was chosen due to the fact that 33/32, also known as the the Al-Farabi Quartertone, is the primary parachroma of the 11-limit, a fact which lends itself to the idea of just 2.3.11 tuning being called "[[Alpharabian tuning]]" in the same way that just 3-limit tuning is called "[[Pythagorean tuning]]". Of note is that the Alpharabian comma and the [[Pythagorean comma]] are similar in that both commas represent the difference between two of their respective ''p''-limit's primary diatonic semitones and a 9/8 whole tone.

			== Temperaments ==
			Tempering out the Alpharabian comma in the 11-limit results in the '''alphaxenic temperament''', or in the 2.3.11 subgroup the '''alphaxenean temperament'''.

	== See also ==		== See also ==
	* [[~~Alpharabian temperaments~~]]		* [[Alphaxenic rank three clan]]
	* [[Small comma]]		* [[Small comma]]

	[[Category:Alpharabian]]		[[Category:Alpharabian]]
			[[Category:Alphaxenic]]

TallKite: added color name

2022-12-04T02:15:32Z

added color name

← Older revision		Revision as of 02:15, 4 December 2022
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	\| Ratio = 131769/131072		\| Ratio = 131769/131072
	\| Name = Alpharabian comma		\| Name = Alpharabian comma
			\| Color name = L1o<sup>4</sup>-2, Laquadlo comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Aura at 22:22, 10 November 2022

2022-11-10T22:22:49Z

← Older revision		Revision as of 22:22, 10 November 2022
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	}}		}}

	The '''Alpharabian comma''' is the [[11-limit]] interval '''131769/131072''' measuring about 9.2[[¢]]. It is the amount by which a stack of two [[128/121]] diatonic semitones falls short of a [[9/8]] whole tone, and the amount by which a stack of four [[33/32]] quartertones exceeds a 9/8 whole tone. The term "Alpharabian" comes from Alpharabius – another name for Al-Farabi – and was chosen due to the fact that 33/32, also known as the the Al-Farabi Quartertone, is the primary ~~limma~~ of the 11-limit, a fact which lends itself to the idea of just 2.3.11 tuning being called "Alpharabian tuning" in the same way that just 3-limit tuning is called "Pythagorean tuning". Of note is that the Alpharabian comma and the [[Pythagorean comma]] are similar in that both commas represent the difference between two of their respective p-limit's primary diatonic semitones and a 9/8 whole tone. Tempering out the Alpharabian comma results in one of the various '''[[Alpharabian temperaments]]'''.		The '''Alpharabian comma''' is the [[11-limit]] interval '''131769/131072''' measuring about 9.2[[¢]]. It is the amount by which a stack of two [[128/121]] diatonic semitones falls short of a [[9/8]] whole tone, and the amount by which a stack of four [[33/32]] quartertones exceeds a 9/8 whole tone. The term "Alpharabian" comes from Alpharabius – another name for Al-Farabi – and was chosen due to the fact that 33/32, also known as the the Al-Farabi Quartertone, is the primary parachorma of the 11-limit, a fact which lends itself to the idea of just 2.3.11 tuning being called "Alpharabian tuning" in the same way that just 3-limit tuning is called "Pythagorean tuning". Of note is that the Alpharabian comma and the [[Pythagorean comma]] are similar in that both commas represent the difference between two of their respective p-limit's primary diatonic semitones and a 9/8 whole tone. Tempering out the Alpharabian comma results in one of the various '''[[Alpharabian temperaments]]'''.

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

Plumtree: Normalising usage of Infobox Interval

2022-10-25T17:27:48Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 17:27, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| JI glyph =~~
	\| Ratio = 131769/131072		\| Ratio = 131769/131072
	~~\| Monzo = -17 2 0 0 4~~
	~~\| Cents = 9.18177~~
	\| Name = Alpharabian comma		\| Name = Alpharabian comma
	\| ~~Color name =~~		\| Comma = yes
	~~\| FJS name =~~
	~~\| Sound~~ =
	}}		}}

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	* [[Small comma]]		* [[Small comma]]

	~~[[Category:11-limit]]~~
	~~[[Category:Small commas]]~~
	[[Category:Alpharabian]]		[[Category:Alpharabian]]