46/45: Difference between revisions

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Dave Keenan (talk | contribs)
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.
Dave Keenan (talk | contribs)
Sagittal notation: Changed colon to dash in notated interval
Line 8: Line 8:


== 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 ==

Revision as of 08:29, 10 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 interval it notates is 23/5 (equiv. 23/20), as for example in C-D⁠ ⁠⁠ ⁠. The downward version is called 5/23S or 23/5S down and is represented by ⁠ ⁠.

See also