144/143
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Ratio
144/143
Factorization
24 × 32 × 11-1 × 13-1
Monzo
[4 2 0 0 -1 -1⟩
Size in cents
12.0644¢
Name
grossma
Color name
3u1u1, thulu 1sn,
Thulu comma
FJS name
[math]\text{A1}_{11,13}[/math]
Special properties
square superparticular,
reduced
Tenney height (log2 nd)
14.3298
Weil height (log2 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
| Interval information |
Thulu comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
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