46/45
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Ratio | 46/45 |
Subgroup monzo | 2.3.5.23 [1 -2 -1 1⟩ |
Size in cents | 38.050632¢ |
Name | 23rd-partial chroma |
Color name | 23og2, twethogu comma |
FJS name | [math]\text{P1}^{23}_{5}[/math] |
Special properties | superparticular, reduced |
Tenney height (log2 nd) | 11.0154 |
Weil height (log2 max(n, d)) | 11.0471 |
Wilson height (sopfr(nd)) | 36 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.51856 bits |
Comma size | medium |
open this interval in xen-calc |
46/45 is a 23-limit superparticular interval of about 38.1 ¢.
Notation
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 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 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 .