Alphatricot comma

Interval information

Factorization	239 × 3-29 × 53
Monzo	[39 -29 3⟩
Size in cents	2.246116¢
Name	alphatricot comma
Color name	s4y33, quadsa-triyo 3rd
FJS name	[math]\displaystyle{ \text{dd3}^{5,5,5} }[/math]
Special properties	reduced
Tenney height (log2 nd)	91.9297
Weil height (log2 max(n, d))	91.9316
Wilson height (sopfr(nd))	180
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.24612 bits
Comma size	unnoticeable
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The alphatricot comma, with monzo [39 -29 3⟩, is an unnoticeable 5-limit comma measuring about 2.2 cents. It is the difference between a stack of three schismas and the 53-comma, making it part of the schismic–Mercator equivalence continuum. In addition, it is the difference between a stack of three 10/9 intervals and a stack of twenty-three 3/2 perfect fifths octave-reduced.

Temperament

Tempering out this comma leads to the alphatricot family of temperaments.

Etymology

This comma was named by Paul Erlich in 2002 as tricot, but renamed in 2025 following the specifications of ploidacot.

See also

• Unnoticeable comma