46/45: Difference between revisions

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Cmloegcmluin (talk | contribs)
add section for this comma's use in Sagittal notation
Dave Keenan (talk | contribs)
Sagittal notation: Added downward version
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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 ==

Revision as of 13:53, 9 October 2024

Interval information
Ratio 46/45
Subgroup monzo 2.3.5.23 [1 -2 -1 1
Size in cents 38.05063¢
Name 23rd-partial chroma
Color name 23og2, twethogu comma
FJS name [math]\displaystyle{ \text{P1}^{23}_{5} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 11.0154
Weil norm (log2 max(n, d)) 11.0471
Wilson norm (sopfr(nd)) 36
Comma size medium
Open this interval in xen-calc

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 23 (a turned 23).

Sagittal notation

In the Sagittal system, this comma (possibly tempered) is represented by the 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 ⁠ ⁠. The downward version is called 5/23S or 23/5S up and is represented by ⁠ ⁠.

See also