144/143
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Ratio | 144/143 |
Factorization | 2^{4} × 3^{2} × 11^{-1} × 13^{-1} |
Monzo | [4 2 0 0 -1 -1⟩ |
Size in cents | 12.064398¢ |
Name | grossma |
Color name | 3u1u1, thulu 1sn, Thulu comma |
FJS name | [math]\text{A1}_{11,13}[/math] |
Special properties | square superparticular, reduced |
Tenney height (log_{2} nd) | 14.3298 |
Weil height (log_{2} max(n, d)) | 14.3399 |
Wilson height (sopfr (nd)) | 38 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~2.43418 bits |
Comma size | small |
S-expression | S12 |
open this interval in xen-calc |
144/143, the grossma, is a 13-limit small comma. It is the difference between the 11/9 and 16/13 neutral thirds, and between the 12/11 and 13/12 neutral seconds. Teff is a temperament of note that targets it.
Sagittal notation
In the Sagittal system, the downward version of this comma (possibly tempered) is represented by the sagittal and is called the 143 comma, or 143C for short, because the simplest interval it notates is 143/1 = 11×13 (equiv. 143/128), as for example in C-D . The upward version is called 1/143C or 143C up and is represented by .
See also
- Small comma
- List of superparticular intervals
- Grossmisma, the difference by which a stack of seven 144/143s falls short of 21/20