Acronymisma

Interval information

Ratio	17577/17576
Subgroup monzo	2.3.7.13.31 [-3 4 1 -3 1⟩
Size in cents	0.09849709¢
Name	acronymisma
Color name	31o3u3z-2 thiwotrithu-azo negative 2nd
FJS name	[math]\text{dd}{-2}^{7,31}_{13,13,13}[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	28.2027
Weil height (log2 max(n, d))	28.2028
Wilson height (sopfr(nd))	95
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.1999 bits
Comma size	unnoticeable
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17577/17576, the acronymisma, is an unnoticeable 31-limit (also 2.3.7.13.31-subgroup) comma measuring 0.0985 cents. It is the amount by which a stack of 27/26 and 31/26 exceeds 26/21. In terms of commas, it is the difference between the tricesimoprimal kleisma, 217/216, and the threedie, 2197/2187.

Temperaments

Tempering out this comma in the 2.3.7.13.31 subgroup results in the rank-4 acronymic temperament, or in the 31-limit, the rank-9 acronymismic temperament, enabling acronymismic chords.

Etymology

The number 17576 is 26 cubed, and as there are 26 letters in the standard Latin alphabet, it is the number of distinct three-letter combinations or acronyms; the comma was named the "acronymisma" for this by Lériendil in 2025.