1053/1024 - Revision history

BudjarnLambeth: Links

2024-12-24T05:21:51Z

Links

← Older revision		Revision as of 05:21, 24 December 2024
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	}}		}}

	'''1053/1024''', the '''tridecimal quartertone''', '''tridecimal formal comma''', or '''Hunt minor submediant comma''', is a [[13-limit]] interval of about 48.3 [[cent]]s. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. It can be considered a type of quartertone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].		'''1053/1024''', the '''tridecimal quartertone''', '''tridecimal formal comma''', or '''Hunt minor submediant comma''', is a [[13-limit]] interval of about 48.3 [[cent]]s. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. It can be considered a type of [[quartertone]]. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].

	== Temperaments ==		== Temperaments ==
	Tempering out this comma in the 2.3.13 subgroup results in the [[No-fives subgroup temperaments #Superflat\|superflat]] temperament, giving rise to the name '''superflat comma'''.		[[Tempering out]] this comma in the 2.3.13 [[subgroup]] results in the [[No-fives subgroup temperaments #Superflat\|superflat]] temperament, giving rise to the name '''superflat comma'''.

	== Notation ==		== Notation ==
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	=== Functional Just System and Helmholtz-Ellis notation ===		=== Functional Just System and Helmholtz-Ellis notation ===
	1053/1024 is significant in [[Functional Just System]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. However, in [[Helmholtz-Ellis notation]], that role is taken by [[27/26]].		1053/1024 is significant in [[Functional Just System]] as the [[13-limit\|tridecimal]] formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. However, in [[Helmholtz-Ellis notation]], that role is taken by [[27/26]].

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

BudjarnLambeth at 06:56, 3 November 2024

2024-11-03T06:56:45Z

← Older revision		Revision as of 06:56, 3 November 2024
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	[[Category:Quartertone]]		[[Category:Quartertone]]
			[[Category:Commas named for their regular temperament properties]]
			[[Category:Commas named after their interval size]]

Lériendil at 16:07, 22 October 2024

2024-10-22T16:07:05Z

← Older revision		Revision as of 16:07, 22 October 2024
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	}}		}}

	'''1053/1024''', the '''tridecimal quartertone''', or '''Hunt minor submediant comma''', is a [[13-limit]] interval of about 48.3 [[cent]]s. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. It can be considered a type of quartertone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].		'''1053/1024''', the '''tridecimal quartertone''', '''tridecimal formal comma''', or '''Hunt minor submediant comma''', is a [[13-limit]] interval of about 48.3 [[cent]]s. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. It can be considered a type of quartertone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].

	== Temperaments ==		== Temperaments ==

FloraC: Withdraw "tridecimal comma"; replace with "superflat comma" after the correponding temp.

2024-10-22T15:22:52Z

Withdraw "tridecimal comma"; replace with "superflat comma" after the correponding temp.

← Older revision		Revision as of 15:22, 22 October 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = tridecimal quartertone, ~~tridecimal flattone~~ comma		\| Name = tridecimal quartertone, superflat comma
	\| Color name = L3o1, latho 1sn,<br>Latho comma		\| Color name = L3o1, latho 1sn,<br>Latho comma
	\| Comma = yes		\| Comma = yes
	}}		}}

	'''1053/1024''', the '''tridecimal quartertone''', ~~'''tridecimal flattone comma'''~~ or '''Hunt minor submediant comma''', is a [[13-limit]] interval of about 48.3 [[cent]]s. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. It can be considered a type of quartertone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].		'''1053/1024''', the '''tridecimal quartertone''', or '''Hunt minor submediant comma''', is a [[13-limit]] interval of about 48.3 [[cent]]s. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. It can be considered a type of quartertone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].

			== Temperaments ==
			Tempering out this comma in the 2.3.13 subgroup results in the [[No-fives subgroup temperaments #Superflat\|superflat]] temperament, giving rise to the name '''superflat comma'''.

	== Notation ==		== Notation ==

Godtone: terrible "tridecimal" name for the temp implied. this is clearly related to a flattone-like structure cuz why would u temper the fifth that flat if u wasnt already using flattone

2024-10-22T00:17:55Z

terrible "tridecimal" name for the temp implied. this is clearly related to a flattone-like structure cuz why would u temper the fifth that flat if u wasnt already using flattone

← Older revision		Revision as of 00:17, 22 October 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = tridecimal quartertone, tridecimal comma		\| Name = tridecimal quartertone, tridecimal flattone comma
	\| Color name = L3o1, latho 1sn,<br>Latho comma		\| Color name = L3o1, latho 1sn,<br>Latho comma
	\| Comma = yes		\| Comma = yes
	}}		}}

	'''1053/1024''', the '''tridecimal quartertone''', '''tridecimal comma''' or '''Hunt minor submediant comma''', is a [[13-limit]] interval of about 48.3 [[cent]]s. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. It can be considered a type of quartertone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].		'''1053/1024''', the '''tridecimal quartertone''', '''tridecimal flattone comma''' or '''Hunt minor submediant comma''', is a [[13-limit]] interval of about 48.3 [[cent]]s. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. It can be considered a type of quartertone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].

	== Notation ==		== Notation ==

FloraC: Improve sectioning

2024-10-10T08:54:39Z

Improve sectioning

← Older revision		Revision as of 08:54, 10 October 2024
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	'''1053/1024''', the '''tridecimal quartertone''', '''tridecimal comma''' or '''Hunt minor submediant comma''', is a [[13-limit]] interval of about 48.3 [[cent]]s. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. It can be considered a type of quartertone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].		'''1053/1024''', the '''tridecimal quartertone''', '''tridecimal comma''' or '''Hunt minor submediant comma''', is a [[13-limit]] interval of about 48.3 [[cent]]s. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. It can be considered a type of quartertone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].

	== Sagittal notation ==		== Notation ==
			=== Sagittal notation ===
	In the [[Sagittal]] system, this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal \| /\|) }} and is called the '''13 medium diesis''', or '''13M''' for short, because the simplest interval it notates is 13/1 (equiv. 13/8), as for example in A-F{{nbhsp}}{{sagittal \| /\|) }}. The primary role of {{ sagittal \| /\|) }} is [[36/35#Sagittal notation \| 36/35]] (35M up). The downward version is called '''1/13M''' or '''13M down''' and is represented (in a secondary role) by {{sagittal\| \!) }}.		In the [[Sagittal]] system, this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal \| /\|) }} and is called the '''13 medium diesis''', or '''13M''' for short, because the simplest interval it notates is 13/1 (equiv. 13/8), as for example in A-F{{nbhsp}}{{sagittal \| /\|) }}. The primary role of {{ sagittal \| /\|) }} is [[36/35#Sagittal notation \| 36/35]] (35M up). The downward version is called '''1/13M''' or '''13M down''' and is represented (in a secondary role) by {{sagittal\| \!) }}.

	== Functional Just System and Helmholtz-Ellis notation ==		=== Functional Just System and Helmholtz-Ellis notation ===
	1053/1024 is significant in [[Functional Just System]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. However, in [[Helmholtz-Ellis notation]], that role is taken by [[27/26]].		1053/1024 is significant in [[Functional Just System]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. However, in [[Helmholtz-Ellis notation]], that role is taken by [[27/26]].

Dave Keenan: /* Sagittal notation */ Changed colon to dash in notated interval.

2024-10-10T08:34:07Z

Sagittal notation: Changed colon to dash in notated interval.

← Older revision		Revision as of 08:34, 10 October 2024
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	== Sagittal notation ==		== Sagittal notation ==
	In the [[Sagittal]] system, this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal \| /\|) }} and is called the '''13 medium diesis''', or '''13M''' for short, because the simplest interval it notates is 13/1 (equiv. 13/8), as for example in A:F{{nbhsp}}{{sagittal \| /\|) }}. The primary role of {{ sagittal \| /\|) }} is [[36/35#Sagittal notation \| 36/35]] (35M up). The downward version is called '''1/13M''' or '''13M down''' and is represented (in a secondary role) by {{sagittal\| \!) }}.		In the [[Sagittal]] system, this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal \| /\|) }} and is called the '''13 medium diesis''', or '''13M''' for short, because the simplest interval it notates is 13/1 (equiv. 13/8), as for example in A-F{{nbhsp}}{{sagittal \| /\|) }}. The primary role of {{ sagittal \| /\|) }} is [[36/35#Sagittal notation \| 36/35]] (35M up). The downward version is called '''1/13M''' or '''13M down''' and is represented (in a secondary role) by {{sagittal\| \!) }}.

	== Functional Just System and Helmholtz-Ellis notation ==		== Functional Just System and Helmholtz-Ellis notation ==

Dave Keenan: /* Sagittal notation */ Changed "simplest ratio" to "simplest interval". Changed colons to slashes and dash. Gave the truly-simplest (2,3-free) interval in addition to the octave-reduced interval. Replaced hair-space with nbhsp template call.

2024-10-10T07:58:05Z

Sagittal notation: Changed "simplest ratio" to "simplest interval". Changed colons to slashes and dash. Gave the truly-simplest (2,3-free) interval in addition to the octave-reduced interval. Replaced hair-space with nbhsp template call.

← Older revision		Revision as of 07:58, 10 October 2024
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	== Sagittal notation ==		== Sagittal notation ==
	In the [[Sagittal]] system, this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal \| /\|) }} and is called the '''13 medium diesis''', or '''13M''' for short, because the simplest ~~ratio~~ it notates is 8~~:13~~, as for example in A:F~~ ~~{{sagittal \| /\|) }}. The primary role of {{ sagittal \| /\|) }} is [[36/35#Sagittal notation \| 36/35]] (35M up). The downward version is called '''1/13M''' or '''13M down''' and is represented (in a secondary role) by {{sagittal\| \!) }}.		In the [[Sagittal]] system, this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal \| /\|) }} and is called the '''13 medium diesis''', or '''13M''' for short, because the simplest interval it notates is 13/1 (equiv. 13/8), as for example in A:F{{nbhsp}}{{sagittal \| /\|) }}. The primary role of {{ sagittal \| /\|) }} is [[36/35#Sagittal notation \| 36/35]] (35M up). The downward version is called '''1/13M''' or '''13M down''' and is represented (in a secondary role) by {{sagittal\| \!) }}.

	== Functional Just System and Helmholtz-Ellis notation ==		== Functional Just System and Helmholtz-Ellis notation ==

Dave Keenan: /* Sagittal notation */ Added downward version

2024-10-09T12:42:01Z

Sagittal notation: Added downward version

← Older revision		Revision as of 12:42, 9 October 2024
Line 8:		Line 8:

	== Sagittal notation ==		== Sagittal notation ==
	In the [[Sagittal]] system, this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal \| /\|) }} and is called the '''13 medium diesis''', or '''13M''' for short, because the simplest ratio it notates is 8:13, as for example in A:F{{sagittal \| /\|) }}. The primary role of {{ sagittal \| /\|) }} is [[36/35#Sagittal notation \| 36/35]] (35M up).		In the [[Sagittal]] system, this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal \| /\|) }} and is called the '''13 medium diesis''', or '''13M''' for short, because the simplest ratio it notates is 8:13, as for example in A:F {{sagittal \| /\|) }}. The primary role of {{ sagittal \| /\|) }} is [[36/35#Sagittal notation \| 36/35]] (35M up). The downward version is called '''1/13M''' or '''13M down''' and is represented (in a secondary role) by {{sagittal\| \!) }}.

	== Functional Just System and Helmholtz-Ellis notation ==		== Functional Just System and Helmholtz-Ellis notation ==

Cmloegcmluin: add section for this comma's use in Sagittal notation

2024-10-09T05:18:35Z

add section for this comma's use in Sagittal notation

← Older revision		Revision as of 05:18, 9 October 2024
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	'''1053/1024''', the '''tridecimal quartertone''', '''tridecimal comma''' or '''Hunt minor submediant comma''', is a [[13-limit]] interval of about 48.3 [[cent]]s. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. It can be considered a type of quartertone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].		'''1053/1024''', the '''tridecimal quartertone''', '''tridecimal comma''' or '''Hunt minor submediant comma''', is a [[13-limit]] interval of about 48.3 [[cent]]s. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. It can be considered a type of quartertone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].

			== Sagittal notation ==
			In the [[Sagittal]] system, this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal \| /\|) }} and is called the '''13 medium diesis''', or '''13M''' for short, because the simplest ratio it notates is 8:13, as for example in A:F{{sagittal \| /\|) }}. The primary role of {{ sagittal \| /\|) }} is [[36/35#Sagittal notation \| 36/35]] (35M up).

			== Functional Just System and Helmholtz-Ellis notation ==
	1053/1024 is significant in [[Functional Just System]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. However, in [[Helmholtz-Ellis notation]], that role is taken by [[27/26]].		1053/1024 is significant in [[Functional Just System]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. However, in [[Helmholtz-Ellis notation]], that role is taken by [[27/26]].