46/45: Difference between revisions

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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 ==

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| \!~ }}.

=== 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| \!~ }}.

== See also ==

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* [[List of superparticular intervals]]

* [[Medium comma]]s

[[Category:Commas named systematically]]

@@ Line 5: / Line 5: @@
 }}
-'''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 ==
-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&#x200A;{{sagittal | /|~ }}. The downward version is called '''5/23S''' or '''23/5S up''' and is represented by {{sagittal| \!~ }}.
+=== 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| \!~ }}.
 == See also ==
@@ Line 16: / Line 20: @@
 * [[List of superparticular intervals]]
 * [[Medium comma]]s
+[[Category:Commas named systematically]]