144/143

Interval information

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

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