45/44 - Revision history

Pailiaq at 01:47, 27 November 2025

2025-11-27T01:47:23Z

← Older revision		Revision as of 01:47, 27 November 2025
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	== Approximation ==		== Approximation ==
	45/44 is extremely close to a single step of [[31edo]], and is represented consistently there as well. When one uses 45/44 as an interval in its own right, it has properties akin to a sort of [[chroma]], and it differs from [[8192/8019]], the Alpharabian inframinor second, by the [[schisma]].		45/44 is extremely close to a single step of [[31edo]], and is represented consistently there as well. When one uses 45/44 as an interval in its own right, it has properties akin to a sort of [[chroma]], and it differs from [[8192/8019]], the Alpharabian inframinor second, by the [[schisma]].
			{{interval edo approximation}}
	== Temperaments ==		== Temperaments ==
	[[File:Oceania's cake.jpg\|thumb\|Ocean's cake]]		[[File:Oceania's cake.jpg\|thumb\|Ocean's cake]]

FloraC: Cake comma is serious now

2025-03-04T09:42:48Z

Cake comma is serious now

← Older revision		Revision as of 09:42, 4 March 2025
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	'''45/44''', ~38.906 cents, the '''undecimal 1/5-tone''', is the interval between [[11/9]] and [[5/4]], between [[11/10]] and [[9/8]], and between [[22/15]] and [[3/2]].		'''45/44''', ~38.906 cents, the '''undecimal 1/5-tone''', is the interval between [[11/9]] and [[5/4]], between [[11/10]] and [[9/8]], and between [[22/15]] and [[3/2]].

	45/44 is ~~also known as the "cake" comma, from when~~ [[~~Ocean Stegosaurus Tardigrade~~]] ~~was baking a cake~~ and ~~misread flour and sugar measurements on his scale~~, ~~leading~~ to ~~the inclusion~~ of 11/~~9 times the amount suggested in his recipe. To compensate~~, ~~he writes "I increased all~~ the ~~other ingredients by a neutral third~~, ~~except the eggs, which I increased~~ by ~~a major third because I couldn't be bothered to measure out eight ninths of an egg." We see here~~ the ~~equating of 11/9 with 5/4, leading to the tempering out of 45/44. The cake turned out fine but slightly burnt on the top~~.		== Approximation ==
			45/44 is extremely close to a single step of [[31edo]], and is represented consistently there as well. When one uses 45/44 as an interval in its own right, it has properties akin to a sort of [[chroma]], and it differs from [[8192/8019]], the Alpharabian inframinor second, by the [[schisma]].

	~~45/44 is extremely close to a single step of~~ [[~~31edo~~]]~~, and is represented consistently there as well. When one uses~~ 45/44 as ~~an interval in its own right, it has properties akin to a sort of chroma~~, ~~and it differs~~ from [[~~8192/8019~~]], the ~~Alpharabian inframinor second~~, by the [[~~schisma~~]].		== Temperaments ==
			[[File:Oceania's cake.jpg\|thumb\|Ocean's cake]]

			45/44 is also known as the '''cake comma''', from when [[Ocean Stegosaurus Tardigrade]] was baking a cake and misread flour and sugar measurements on his scale, leading to the inclusion of 11/9 times the amount suggested in his recipe. To compensate, he writes "I increased all the other ingredients by a neutral third, except the eggs, which I increased by a major third because I couldn't be bothered to measure out eight ninths of an egg." We see here the equating of 11/9 with 5/4, leading to the [[tempering out]] of 45/44. The cake turned out fine but slightly burnt on the top.

	[[~~File:Oceania'~~s ~~cake.jpg~~\|~~thumb~~\|~~Ocean's cake~~]]		This temperament is the [[Catalog of rank-4 temperaments #Cake (45/44)\|cake temperament]], [[support]]ed by the [[patent val]]s for [[12edo\|12-]], [[19edo\|19-]], and [[26edo\|26-tone equal temperament]].

	== Sagittal notation ==		== Notation ==
			=== Sagittal notation ===
	In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal \| (!( }} and is called the '''11/5 small diesis''', or '''11/5S''' for short, because the simplest interval it notates is 11/5 (equiv. 11/10), as for example in C–D{{nbhsp}}{{sagittal \| (!( }}. The upward version is called '''5/11S''' or '''11/5S up''' and is represented by {{sagittal\| (\|( }}.		In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal \| (!( }} and is called the '''11/5 small diesis''', or '''11/5S''' for short, because the simplest interval it notates is 11/5 (equiv. 11/10), as for example in C–D{{nbhsp}}{{sagittal \| (!( }}. The upward version is called '''5/11S''' or '''11/5S up''' and is represented by {{sagittal\| (\|( }}.

	~~== Temperaments ==~~
	When treated as a comma to be tempered out, it leads to the [[Catalog of rank-4 temperaments #Cake (45/44)\|cake temperament]]. It is tempered out by the [[patent val]]s for [[12edo\|12]], [[19edo\|19]], and [[26edo\|26]]-tone equal temperament.

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

FloraC: Move stuff to the appropriate sections. Improve linking

2025-01-13T13:34:06Z

Move stuff to the appropriate sections. Improve linking

← Older revision		Revision as of 13:34, 13 January 2025
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	}}		}}

	'''45/44''', ~38.906 cents, the '''undecimal 1/5-tone''', is the interval between [[11/9]] and [[5/4]], between [[11/10]] and [[9/8]], and between [[22/15]] and [[3/2]]~~. It is tempered out by the patent vals for [[12edo\|12]], [[19edo\|19]], and [[26edo\|26]]-tone equal temperament~~.		'''45/44''', ~38.906 cents, the '''undecimal 1/5-tone''', is the interval between [[11/9]] and [[5/4]], between [[11/10]] and [[9/8]], and between [[22/15]] and [[3/2]].

	45/44 is also known as the "cake" comma, from when [[Ocean Stegosaurus Tardigrade]] was baking a cake and misread flour and sugar measurements on his scale, leading to the inclusion of 11/9 times the amount suggested in his recipe. To compensate, he writes "I increased all the other ingredients by a neutral third, except the eggs, which I increased by a major third because I couldn't be bothered to measure out eight ninths of an egg." We see here the equating of 11/9 with 5/4, leading to the tempering out of 45/44. The cake turned out fine but slightly burnt on the top.		45/44 is also known as the "cake" comma, from when [[Ocean Stegosaurus Tardigrade]] was baking a cake and misread flour and sugar measurements on his scale, leading to the inclusion of 11/9 times the amount suggested in his recipe. To compensate, he writes "I increased all the other ingredients by a neutral third, except the eggs, which I increased by a major third because I couldn't be bothered to measure out eight ninths of an egg." We see here the equating of 11/9 with 5/4, leading to the tempering out of 45/44. The cake turned out fine but slightly burnt on the top.
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	== Temperaments ==		== Temperaments ==
	When treated as a comma to be tempered out, it leads to the [[Catalog of rank-4 temperaments #Cake (45/44)\|cake temperament]].		When treated as a comma to be tempered out, it leads to the [[Catalog of rank-4 temperaments #Cake (45/44)\|cake temperament]]. It is tempered out by the [[patent val]]s for [[12edo\|12]], [[19edo\|19]], and [[26edo\|26]]-tone equal temperament.

	== See also ==		== See also ==
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]
	* [[Medium comma]]s		* [[Medium comma]]

			[[Category:Cake]]
	[[Category:Commas named following events]]		[[Category:Commas named following events]]

FloraC: /* Temperaments */ -bold (not a redirect target)

2025-01-13T13:24:25Z

Temperaments: -bold (not a redirect target)

← Older revision		Revision as of 13:24, 13 January 2025
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	== Temperaments ==		== Temperaments ==
	When treated as a comma to be tempered out, it leads to the [[Catalog of rank-4 temperaments #Cake (45/44)\|~~'''~~cake temperament~~'''~~]].		When treated as a comma to be tempered out, it leads to the [[Catalog of rank-4 temperaments #Cake (45/44)\|cake temperament]].

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

ArrowHead294 at 13:20, 13 January 2025

2025-01-13T13:20:21Z

← Older revision		Revision as of 13:20, 13 January 2025
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	== Sagittal notation ==		== Sagittal notation ==
	In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal \| (!( }} and is called the '''11/5 small diesis''', or '''11/5S''' for short, because the simplest interval it notates is 11/5 (equiv. 11/10), as for example in ~~C-D~~{{nbhsp}}{{sagittal \| (!( }}. The upward version is called '''5/11S''' or '''11/5S up''' and is represented by {{sagittal\| (\|( }}.		In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal \| (!( }} and is called the '''11/5 small diesis''', or '''11/5S''' for short, because the simplest interval it notates is 11/5 (equiv. 11/10), as for example in C–D{{nbhsp}}{{sagittal \| (!( }}. The upward version is called '''5/11S''' or '''11/5S up''' and is represented by {{sagittal\| (\|( }}.

	== Temperaments ==		== Temperaments ==
	When treated as a comma to be tempered out, it leads to the ~~'''cake temperament''' (→~~ [[Catalog of rank-4 temperaments #Cake (45/44)]]).		When treated as a comma to be tempered out, it leads to the [[Catalog of rank-4 temperaments #Cake (45/44)\|'''cake temperament''']].

	== See also ==		== See also ==
	* [[88/45]] ~~–~~ its [[octave complement]]		* [[88/45]] – its [[octave complement]]
	* [[22/15]] ~~–~~ its [[fifth complement]]		* [[22/15]] – its [[fifth complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

FloraC: Update links

2025-01-12T03:10:51Z

Update links

← Older revision		Revision as of 03:10, 12 January 2025
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	== Temperaments ==		== Temperaments ==
	When treated as a comma to be tempered out, it leads to the [[~~cake family~~]].		When treated as a comma to be tempered out, it leads to the '''cake temperament''' (→ [[Catalog of rank-4 temperaments #Cake (45/44)]]).

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

ArrowHead294 at 23:42, 11 January 2025

2025-01-11T23:42:18Z

← Older revision		Revision as of 23:42, 11 January 2025
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	== Sagittal notation ==		== Sagittal notation ==
	In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal \| (!( }} and is called the '''11/5 small diesis''', or '''11/5S''' for short, because the simplest interval it notates is 11/5 (equiv. 11/10), as for example in C-D{{nbhsp}}{{sagittal \| (!( }}. The upward version is called '''5/11S''' or '''11/5S up''' and is represented by {{sagittal\| (\|( }}.		In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal \| (!( }} and is called the '''11/5 small diesis''', or '''11/5S''' for short, because the simplest interval it notates is 11/5 (equiv. 11/10), as for example in C-D{{nbhsp}}{{sagittal \| (!( }}. The upward version is called '''5/11S''' or '''11/5S up''' and is represented by {{sagittal\| (\|( }}.

			== Temperaments ==
			When treated as a comma to be tempered out, it leads to the [[cake family]].

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

ArrowHead294 at 18:21, 12 November 2024

2024-11-12T18:21:09Z

← Older revision		Revision as of 18:21, 12 November 2024
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	}}		}}

	'''45/44''', ~38.906 cents, the '''undecimal 1/5-tone''', is the interval between [[11/9]] and [[5/4]], between [[11/10]] and [[9/8]], and between [[22/15]] and [[3/2]]. It is tempered out by the patent vals for [[12edo\|12]], [[19edo\|19]], and [[26edo\|26]] equal. It is very close to a single step of [[31edo]], and is represented consistently there as well. When one uses 45/44 as an interval in its own right, it has properties akin to a sort of chroma, and it differs from [[8192/8019]], the Alpharabian inframinor second, by the [[schisma]].		'''45/44''', ~38.906 cents, the '''undecimal 1/5-tone''', is the interval between [[11/9]] and [[5/4]], between [[11/10]] and [[9/8]], and between [[22/15]] and [[3/2]]. It is tempered out by the patent vals for [[12edo\|12]], [[19edo\|19]], and [[26edo\|26]]-tone equal temperament.

	45/44 is also known as the "cake" comma, from when [[Ocean Stegosaurus Tardigrade]] was baking a cake and misread flour and sugar measurements on his scale, leading to the inclusion of 11/9 times the amount suggested in his recipe. To compensate, he writes "I increased all the other ingredients by a neutral third, except the eggs, which I increased by a major third because I couldn't be bothered to measure out eight ninths of an egg." We see here the equating of 11/9 with 5/4, leading to the tempering out of 45/44. The cake turned out fine but slightly burnt on the top.		45/44 is also known as the "cake" comma, from when [[Ocean Stegosaurus Tardigrade]] was baking a cake and misread flour and sugar measurements on his scale, leading to the inclusion of 11/9 times the amount suggested in his recipe. To compensate, he writes "I increased all the other ingredients by a neutral third, except the eggs, which I increased by a major third because I couldn't be bothered to measure out eight ninths of an egg." We see here the equating of 11/9 with 5/4, leading to the tempering out of 45/44. The cake turned out fine but slightly burnt on the top.

			45/44 is extremely close to a single step of [[31edo]], and is represented consistently there as well. When one uses 45/44 as an interval in its own right, it has properties akin to a sort of chroma, and it differs from [[8192/8019]], the Alpharabian inframinor second, by the [[schisma]].

	[[File:Oceania's cake.jpg\|thumb\|Ocean's cake]]		[[File:Oceania's cake.jpg\|thumb\|Ocean's cake]]

	==Sagittal notation==		== Sagittal notation ==
	In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal \| (!( }} and is called the '''11/5 small diesis''', or '''11/5S''' for short, because the simplest interval it notates is 11/5 (equiv. 11/10), as for example in C-D{{nbhsp}}{{sagittal \| (!( }}. The upward version is called '''5/11S''' or '''11/5S up''' and is represented by {{sagittal\| (\|( }}.		In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal \| (!( }} and is called the '''11/5 small diesis''', or '''11/5S''' for short, because the simplest interval it notates is 11/5 (equiv. 11/10), as for example in C-D{{nbhsp}}{{sagittal \| (!( }}. The upward version is called '''5/11S''' or '''11/5S up''' and is represented by {{sagittal\| (\|( }}.

	== See also ==		== See also ==
	* [[88/45]] – its [[octave complement]]		* [[88/45]] – its [[octave complement]]
	* [[22/15]] – its [[fifth complement]]		* [[22/15]] – its [[fifth complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

Yourmusic Productions: Expansion.

2024-11-12T13:54:20Z

Expansion.

← Older revision		Revision as of 13:54, 12 November 2024
Line 6:		Line 6:
	}}		}}

	'''45/44''', ~38.906 cents, the '''undecimal 1/5-tone''', is the interval between [[11/9]] and [[5/4]], between [[11/10]] and [[9/8]], and between [[22/15]] and [[3/2]]. It is tempered out by the patent vals for [[12edo\|12]], [[19edo\|19]], and [[26edo\|26]] equal. When one uses 45/44 as an interval in its own right, it has properties akin to a sort of chroma, and it differs from [[8192/8019]], the Alpharabian inframinor second, by the [[schisma]].		'''45/44''', ~38.906 cents, the '''undecimal 1/5-tone''', is the interval between [[11/9]] and [[5/4]], between [[11/10]] and [[9/8]], and between [[22/15]] and [[3/2]]. It is tempered out by the patent vals for [[12edo\|12]], [[19edo\|19]], and [[26edo\|26]] equal. It is very close to a single step of [[31edo]], and is represented consistently there as well. When one uses 45/44 as an interval in its own right, it has properties akin to a sort of chroma, and it differs from [[8192/8019]], the Alpharabian inframinor second, by the [[schisma]].

	45/44 is also known as the "cake" comma, from when [[Ocean Stegosaurus Tardigrade]] was baking a cake and misread flour and sugar measurements on his scale, leading to the inclusion of 11/9 times the amount suggested in his recipe. To compensate, he writes "I increased all the other ingredients by a neutral third, except the eggs, which I increased by a major third because I couldn't be bothered to measure out eight ninths of an egg." We see here the equating of 11/9 with 5/4, leading to the tempering out of 45/44. The cake turned out fine but slightly burnt on the top.		45/44 is also known as the "cake" comma, from when [[Ocean Stegosaurus Tardigrade]] was baking a cake and misread flour and sugar measurements on his scale, leading to the inclusion of 11/9 times the amount suggested in his recipe. To compensate, he writes "I increased all the other ingredients by a neutral third, except the eggs, which I increased by a major third because I couldn't be bothered to measure out eight ninths of an egg." We see here the equating of 11/9 with 5/4, leading to the tempering out of 45/44. The cake turned out fine but slightly burnt on the top.

BudjarnLambeth at 12:31, 3 November 2024

2024-11-03T12:31:30Z

← Older revision		Revision as of 12:31, 3 November 2024
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	* [[Medium comma]]s		* [[Medium comma]]s

	[[Category:Commas named ~~for other reasons~~]]		[[Category:Commas named following events]]