Betarabian comma - Revision history

FloraC: Linking

2026-08-17T04:44:30Z

Linking

← Older revision		Revision as of 04:44, 17 August 2026
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	== Temperaments ==		== Temperaments ==
	As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma and the Alpharabian comma are tempered out; however, there are other temperaments that temper out just the Betarabian comma itself. When tempered out in the 11-limit, it is the '''betaxenic''' temperament, or in the [[2.3.11 subgroup]], the ~~'''~~betaxenean~~'''~~ temperament.		As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma and the Alpharabian comma are tempered out; however, there are other temperaments that temper out just the Betarabian comma itself. When tempered out in the 11-limit, it is the '''betaxenic''' temperament, or in the [[2.3.11 subgroup]], the [[betaxenean]] temperament.

	== Etymology ==		== Etymology ==

FloraC: More improvements

2026-08-17T04:15:01Z

More improvements

← Older revision		Revision as of 04:15, 17 August 2026
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	The '''Betarabian comma''' ({{monzo\|legend=1\| -18 7 0 0 2 }}, [[ratio]]: 264627/262144) is a [[small comma\|small]] [[11-limit]] [[comma]] measuring about 16.3{{cent}}. It forms the difference between various pairs of enharmonic [[quartertone]]-based intervals in the [[2.3.11 subgroup]]. Specifically, it is the amount by which a stack of two [[33/32]]'s exceeds the [[Pythagorean limma]], or the amount by which a stack of two [[11/8]]'s exceeds the [[4096/2187\|Pythagorean diminished octave]].		The '''Betarabian comma''' ({{monzo\|legend=1\| -18 7 0 0 2 }}, [[ratio]]: 264627/262144) is a [[small comma\|small]] [[11-limit]] [[comma]] measuring about 16.3{{cent}}. It forms the difference between various pairs of enharmonic [[quartertone]]-based intervals in the [[2.3.11 subgroup]]. Specifically, it is the amount by which a stack of two [[33/32]]'s exceeds the [[Pythagorean limma]], or the amount by which a stack of two [[11/8]]'s exceeds the [[4096/2187\|Pythagorean diminished octave]].

	It is the sum of the [[Alpharabian comma]] and the [[243/242\|rastma]], ~~as well~~ as the sum of the [[32805/32768\|schisma]] and the [[121/120\|biyatisma~~]] in the [[2.3.5.11 subgroup~~]].		It factors into simpler commas as the sum of the [[Alpharabian comma]] and the [[243/242\|rastma]]. In the [[2.3.5.11 subgroup]], it also factors as the sum of the [[32805/32768\|schisma]] and the [[121/120\|biyatisma]].

	== Temperaments ==		== Temperaments ==

FloraC: Expand

2026-08-17T04:13:46Z

Expand

← Older revision		Revision as of 04:13, 17 August 2026
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	\| Comma = yes		\| Comma = yes
	}}		}}
			The '''Betarabian comma''' ({{monzo\|legend=1\| -18 7 0 0 2 }}, [[ratio]]: 264627/262144) is a [[small comma\|small]] [[11-limit]] [[comma]] measuring about 16.3{{cent}}. It forms the difference between various pairs of enharmonic [[quartertone]]-based intervals in the [[2.3.11 subgroup]]. Specifically, it is the amount by which a stack of two [[33/32]]'s exceeds the [[Pythagorean limma]], or the amount by which a stack of two [[11/8]]'s exceeds the [[4096/2187\|Pythagorean diminished octave]].

	~~The '''Betarabian comma''' ({{monzo\|legend=1\| -18 7 0 0 2 }}, [[ratio]]: 264627/262144) is an [[11-limit]] [[comma]] at about 16.3{{cent}}.~~ It is the sum of the [[~~32805/32768\|schisma~~]] and the [[~~121~~/~~120~~\|~~biyatisma~~]], as well as the sum of the [[~~Alpharabian comma~~]] and the [[~~243~~/~~242~~\|~~rastma~~]].		It is the sum of the [[Alpharabian comma]] and the [[243/242\|rastma]], as well as the sum of the [[32805/32768\|schisma]] and the [[121/120\|biyatisma]] in the [[2.3.5.11 subgroup]].

	~~Furthermore, it forms~~ the ~~difference between various pairs of enharmonic~~ [[~~quartertone~~]]-based intervals in no-fives no-sevens [[just]] 11-limit tuning. The term "Betarabian" is a derivative of "Alpharabian", and was coined on account of both the rastma being a comma which separates primary and secondary 11-limit intervals and the term "Alpharabian" itself containing the word "Alpha" within it.

	== Temperaments ==		== Temperaments ==
	As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma and the Alpharabian comma are tempered out; however, there are other temperaments that temper out just the Betarabian comma itself. When tempered out in the 11-limit, it is the '''betaxenic''' temperament, or in the [[2.3.11 subgroup]], the '''betaxenean''' temperament.		As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma and the Alpharabian comma are tempered out; however, there are other temperaments that temper out just the Betarabian comma itself. When tempered out in the 11-limit, it is the '''betaxenic''' temperament, or in the [[2.3.11 subgroup]], the '''betaxenean''' temperament.

			== Etymology ==
			The term ''Betarabian'' is a derivative of ''Alpharabian'', and was coined on account of both the rastma being a comma which separates primary and secondary 11-limit intervals and the term ''Alpharabian'' itself containing the word ''alpha'' within it.

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

FloraC: Rework

2026-08-16T11:53:57Z

Rework

← Older revision		Revision as of 11:53, 16 August 2026
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	== Temperaments ==		== Temperaments ==
	As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma ~~is added to~~ the ~~list of commas~~ tempered out ~~among [[Alphaxenic rank three clan\|alphaxenic rank-3 clan]]~~; however, there are other temperaments that temper out just the Betarabian comma itself. When tempered out in the 11-limit, it is the '''betaxenic ~~temperament~~''', or in the 2.3.11 [[subgroup]], the '''betaxenean ~~temperament~~'''.		As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma and the Alpharabian comma are tempered out; however, there are other temperaments that temper out just the Betarabian comma itself. When tempered out in the 11-limit, it is the '''betaxenic''' temperament, or in the [[2.3.11 subgroup]], the '''betaxenean''' temperament.

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

BudjarnLambeth: Links

2024-12-24T05:44:22Z

Links

← Older revision		Revision as of 05:44, 24 December 2024
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	}}		}}

	The '''Betarabian comma''' ({{monzo\|legend=1\| -18 7 0 0 2 }}, [[ratio]]: 264627/262144) is an [[11-limit]] [[comma]] at about 16.3{{cent}}. It is the sum of the [[32805/32768\|schisma]] and the [[121/120\|biyatisma]], as well as the sum of the [[Alpharabian comma]] and the [[243/242\|rastma]]. Furthermore, it forms the difference between various pairs of enharmonic quartertone-based intervals in no-fives no-sevens just 11-limit tuning. The term "Betarabian" is a derivative of "Alpharabian", and was coined on account of both the rastma being a comma which separates primary and secondary 11-limit intervals and the term "Alpharabian" itself containing the word "Alpha" within it.		The '''Betarabian comma''' ({{monzo\|legend=1\| -18 7 0 0 2 }}, [[ratio]]: 264627/262144) is an [[11-limit]] [[comma]] at about 16.3{{cent}}. It is the sum of the [[32805/32768\|schisma]] and the [[121/120\|biyatisma]], as well as the sum of the [[Alpharabian comma]] and the [[243/242\|rastma]].

			Furthermore, it forms the difference between various pairs of enharmonic [[quartertone]]-based intervals in no-fives no-sevens [[just]] 11-limit tuning. The term "Betarabian" is a derivative of "Alpharabian", and was coined on account of both the rastma being a comma which separates primary and secondary 11-limit intervals and the term "Alpharabian" itself containing the word "Alpha" within it.

	== Temperaments ==		== Temperaments ==
	As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma is added to the list of commas tempered out among [[Alphaxenic rank three clan\|alphaxenic rank-3 clan]]; however, there are other temperaments that temper out just the Betarabian comma itself. When tempered out in the 11-limit, it is the '''betaxenic temperament''', or in the 2.3.11 subgroup, the '''betaxenean temperament'''.		As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma is added to the list of commas tempered out among [[Alphaxenic rank three clan\|alphaxenic rank-3 clan]]; however, there are other temperaments that temper out just the Betarabian comma itself. When tempered out in the 11-limit, it is the '''betaxenic temperament''', or in the 2.3.11 [[subgroup]], the '''betaxenean temperament'''.

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

BudjarnLambeth at 20:42, 5 November 2024

2024-11-05T20:42:04Z

← Older revision		Revision as of 20:42, 5 November 2024
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	[[Category:Alpharabian]]		[[Category:Alpharabian]]
	[[Category:Betaxenic]]		[[Category:Betaxenic]]
			[[Category:Commas named after polymaths]]
	[[Category:Commas named for their regular temperament properties]]		[[Category:Commas named for their regular temperament properties]]

BudjarnLambeth at 13:17, 3 November 2024

2024-11-03T13:17:25Z

← Older revision		Revision as of 13:17, 3 November 2024
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	[[Category:Alpharabian]]		[[Category:Alpharabian]]
	[[Category:Betaxenic]]		[[Category:Betaxenic]]
			[[Category:Commas named for their regular temperament properties]]

FloraC: Update

2023-06-17T06:48:56Z

Update

← Older revision		Revision as of 06:48, 17 June 2023
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	}}		}}

	The '''Betarabian comma''', ~~at about 16.3~~[[~~Cent\|¢~~]]~~, is the interval '''~~264627/262144~~'''~~. It is the sum of the [[32805/32768\|schisma]] and the [[121/120\|biyatisma]], as well as the sum of the [[Alpharabian comma]] and the [[243/242\|rastma]]. Furthermore, it forms the difference between various pairs of enharmonic quartertone-based intervals in no-fives no-sevens just 11-limit tuning. The term "Betarabian" is a derivative of "Alpharabian", and was coined on account of both the rastma being a comma which separates primary and secondary 11-limit intervals and the term "Alpharabian" itself containing the word "Alpha" within it. As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma is added to the list of commas tempered out among [[~~Alpharabian temperaments~~]], however, there are other temperaments that temper out just the Betarabian comma itself.		The '''Betarabian comma''' ({{monzo\|legend=1\| -18 7 0 0 2 }}, [[ratio]]: 264627/262144) is an [[11-limit]] [[comma]] at about 16.3{{cent}}. It is the sum of the [[32805/32768\|schisma]] and the [[121/120\|biyatisma]], as well as the sum of the [[Alpharabian comma]] and the [[243/242\|rastma]]. Furthermore, it forms the difference between various pairs of enharmonic quartertone-based intervals in no-fives no-sevens just 11-limit tuning. The term "Betarabian" is a derivative of "Alpharabian", and was coined on account of both the rastma being a comma which separates primary and secondary 11-limit intervals and the term "Alpharabian" itself containing the word "Alpha" within it.

			== Temperaments ==
			As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma is added to the list of commas tempered out among [[Alphaxenic rank three clan\|alphaxenic rank-3 clan]]; however, there are other temperaments that temper out just the Betarabian comma itself. When tempered out in the 11-limit, it is the '''betaxenic temperament''', or in the 2.3.11 subgroup, the '''betaxenean temperament'''.

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

TallKite: added color name

2022-12-04T02:21:01Z

added color name

← Older revision		Revision as of 02:21, 4 December 2022
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	\| Ratio = 264627/262144		\| Ratio = 264627/262144
	\| Name = Betarabian comma		\| Name = Betarabian comma
			\| Color name = L1oo-2, Lalolo comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T17:28:57Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 17:28, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| JI glyph =~~
	\| Ratio = 264627/262144		\| Ratio = 264627/262144
	~~\| Monzo = -18 7 0 0 2~~
	~~\| Cents = 16.32089~~
	\| Name = Betarabian comma		\| Name = Betarabian comma
	\| ~~Color name =~~		\| Comma = yes
	~~\| FJS name =~~
	~~\| Sound~~ =
	}}		}}

	The '''Betarabian comma''', at about 16.3[[Cent\|¢]], is the interval '''264627/262144'''. It is the sum of the [[32805/32768\|schisma]] and the [[121/120\|biyatisma]], as well as the sum of the [[Alpharabian comma]] and the [[243/242\|rastma]]. Furthermore, it forms the difference between various pairs of enharmonic quartertone-based intervals in no-fives no-sevens just 11-limit tuning. The term "Betarabian" is a derivative of "Alpharabian", and was coined on account of both the rastma being a comma which separates primary and secondary 11-limit intervals and the term "Alpharabian" itself containing the word "Alpha" within it. As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma is added to the list of commas tempered out among [[Alpharabian temperaments]], however, there are other temperaments that temper out just the Betarabian comma itself.		The '''Betarabian comma''', at about 16.3[[Cent\|¢]], is the interval '''264627/262144'''. It is the sum of the [[32805/32768\|schisma]] and the [[121/120\|biyatisma]], as well as the sum of the [[Alpharabian comma]] and the [[243/242\|rastma]]. Furthermore, it forms the difference between various pairs of enharmonic quartertone-based intervals in no-fives no-sevens just 11-limit tuning. The term "Betarabian" is a derivative of "Alpharabian", and was coined on account of both the rastma being a comma which separates primary and secondary 11-limit intervals and the term "Alpharabian" itself containing the word "Alpha" within it. As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma is added to the list of commas tempered out among [[Alpharabian temperaments]], however, there are other temperaments that temper out just the Betarabian comma itself.

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