46/45

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
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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 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

• 45/23 – its octave complement
• 135/92 – its fifth complement
• Gallery of just intervals
• List of superparticular intervals
• Medium commas