46/45

Revision as of 13:53, 9 October 2024 by Dave Keenan (talk | contribs) (Sagittal notation: Added downward version)
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