144/143

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Interval information
Ratio 144/143
Factorization 24 × 32 × 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 (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

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