46/45 - Revision history

FloraC: Expand on Johnston notation

2024-11-13T11:04:01Z

Expand on Johnston notation

← Older revision		Revision as of 11:04, 13 November 2024
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	}}		}}

	'''46/45~~''' or the '''23rd-partial chroma~~''' is a [[superparticular]] interval of about 38.1 [[¢]]. It is the formal comma used to express 23-limit intervals in [[Ben Johnston's notation]], being expressed with a "23", while its reciprocal is denoted as <span style="display: inline-block; transform: rotate(180deg)">23</span> (a turned 23).		'''46/45''' is a [[23-limit]] [[superparticular]] interval of about 38.1 [[¢]].

	== Sagittal notation ==		== Notation ==
			=== Ben Johnston's notation ===
			This interval is the 23rd-partial chroma (23-limit formal comma) used to express 23-limit intervals in [[Ben Johnston's notation]], being expressed with a "23", while its reciprocal is denoted as {{invert\|23}} (a turned 23). If the base note is C, then [[23/16]] is represented by C–F#+23. Note the + (for [[81/80]]) is required.

			=== Sagittal notation ===
	In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| /\|~ }} and is called the '''23/5 small diesis''', or '''23/5S''' for short, because the simplest interval it notates is 23/5 (equiv. 23/20), as for example in C-D{{nbhsp}}{{sagittal \| /\|~ }}. The downward version is called '''5/23S''' or '''23/5S down''' and is represented by {{sagittal\| \!~ }}.		In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| /\|~ }} and is called the '''23/5 small diesis''', or '''23/5S''' for short, because the simplest interval it notates is 23/5 (equiv. 23/20), as for example in C-D{{nbhsp}}{{sagittal \| /\|~ }}. The downward version is called '''5/23S''' or '''23/5S down''' and is represented by {{sagittal\| \!~ }}.

BudjarnLambeth at 07:37, 3 November 2024

2024-11-03T07:37:38Z

← Older revision		Revision as of 07:37, 3 November 2024
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	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]
	* [[Medium comma]]s		* [[Medium comma]]s

			[[Category:Commas named systematically]]

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

2024-10-10T08:29:11Z

Sagittal notation: Changed colon to dash in notated interval

← Older revision		Revision as of 08:29, 10 October 2024
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	== Sagittal notation ==		== Sagittal notation ==
	In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| /\|~ }} and is called the '''23/5 small diesis''', or '''23/5S''' for short, because the simplest interval it notates is 23/5 (equiv. 23/20), as for example in C:D{{nbhsp}}{{sagittal \| /\|~ }}. The downward version is called '''5/23S''' or '''23/5S down''' and is represented by {{sagittal\| \!~ }}.		In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| /\|~ }} and is called the '''23/5 small diesis''', or '''23/5S''' for short, because the simplest interval it notates is 23/5 (equiv. 23/20), as for example in C-D{{nbhsp}}{{sagittal \| /\|~ }}. The downward version is called '''5/23S''' or '''23/5S down''' and is represented by {{sagittal\| \!~ }}.

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

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.

2024-10-10T07:18:10Z

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 07:18, 10 October 2024
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	== Sagittal notation ==		== Sagittal notation ==
	In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| /\|~ }} and is called the '''23/5 small diesis''', or '''23/5S''' for short, because the simplest ~~ratio~~ it notates is (~~4·5~~)~~:23~~, as for example in C:D~~ ~~{{sagittal \| /\|~ }}. The downward version is called '''5/23S''' or '''23/5S down''' and is represented by {{sagittal\| \!~ }}.		In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| /\|~ }} and is called the '''23/5 small diesis''', or '''23/5S''' for short, because the simplest interval it notates is 23/5 (equiv. 23/20), as for example in C:D{{nbhsp}}{{sagittal \| /\|~ }}. The downward version is called '''5/23S''' or '''23/5S down''' and is represented by {{sagittal\| \!~ }}.

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

Dave Keenan: /* Sagittal notation */ Changed "23/5S up" to "23/5S down"

2024-10-09T13:54:11Z

Sagittal notation: Changed "23/5S up" to "23/5S down"

← Older revision		Revision as of 13:54, 9 October 2024
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	== Sagittal notation ==		== Sagittal notation ==
	In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| /\|~ }} and is called the '''23/5 small diesis''', or '''23/5S''' for short, because the simplest ratio it notates is (4·5):23, as for example in C:D {{sagittal \| /\|~ }}. The downward version is called '''5/23S''' or '''23/5S up''' and is represented by {{sagittal\| \!~ }}.		In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| /\|~ }} and is called the '''23/5 small diesis''', or '''23/5S''' for short, because the simplest ratio it notates is (4·5):23, as for example in C:D {{sagittal \| /\|~ }}. The downward version is called '''5/23S''' or '''23/5S down''' and is represented by {{sagittal\| \!~ }}.

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

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

2024-10-09T13:53:18Z

Sagittal notation: Added downward version

← Older revision		Revision as of 13:53, 9 October 2024
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	== Sagittal notation ==		== Sagittal notation ==
	In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| /\|~ }} and is called the '''23/5 small diesis''', or '''23/5S''' for short, because the simplest ratio it notates is (4·5):23, as for example in C:D{{sagittal \| /\|~ }}.		In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| /\|~ }} and is called the '''23/5 small diesis''', or '''23/5S''' for short, because the simplest ratio it notates is (4·5):23, as for example in C:D {{sagittal \| /\|~ }}. The downward version is called '''5/23S''' or '''23/5S up''' and is represented by {{sagittal\| \!~ }}.

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

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

2024-10-09T05:17:42Z

add section for this comma's use in Sagittal notation

← Older revision		Revision as of 05:17, 9 October 2024
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	'''46/45''' or the '''23rd-partial chroma''' is a [[superparticular]] interval of about 38.1 [[¢]]. It is the formal comma used to express 23-limit intervals in [[Ben Johnston's notation]], being expressed with a "23", while its reciprocal is denoted as <span style="display: inline-block; transform: rotate(180deg)">23</span> (a turned 23).		'''46/45''' or the '''23rd-partial chroma''' is a [[superparticular]] interval of about 38.1 [[¢]]. It is the formal comma used to express 23-limit intervals in [[Ben Johnston's notation]], being expressed with a "23", while its reciprocal is denoted as <span style="display: inline-block; transform: rotate(180deg)">23</span> (a turned 23).

			== Sagittal notation ==
			In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| /\|~ }} and is called the '''23/5 small diesis''', or '''23/5S''' for short, because the simplest ratio it notates is (4·5):23, as for example in C:D{{sagittal \| /\|~ }}.

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

Flirora: Created page with "{{Infobox Interval | Name = 23rd-partial chroma | Color name = 23og2, twethogu comma | Comma = yes }} '''46/45''' or the '''23rd-partial chroma''' is a superparticular in..."

2023-01-11T09:34:19Z

Created page with "{{Infobox Interval | Name = 23rd-partial chroma | Color name = 23og2, twethogu comma | Comma = yes }} '''46/45''' or the '''23rd-partial chroma''' is a superparticular in..."

New page

{{Infobox Interval
| Name = 23rd-partial chroma
| Color name = 23og2, twethogu comma
| Comma = yes
}}

'''46/45''' or the '''23rd-partial chroma''' is a [[superparticular]] interval of about 38.1 [[¢]]. It is the formal comma used to express 23-limit intervals in [[Ben Johnston's notation]], being expressed with a "23", while its reciprocal is denoted as <span style="display: inline-block; transform: rotate(180deg)">23</span> (a turned 23).

== See also ==
* [[45/23]] – its [[octave complement]]
* [[135/92]] – its [[fifth complement]]
* [[Gallery of just intervals]]
* [[List of superparticular intervals]]
* [[Medium comma]]s