Tricot comma

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Interval information
Factorization 239 × 3-29 × 53
Monzo [39 -29 3
Size in cents 2.2461165¢
Name tricot comma
Color name s4y33, quadsa-triyo 3rd
FJS name [math]\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]\sqrt{nd}[/math])
~1.24612 bits
Comma size unnoticeable
open this interval in xen-calc

The tricot 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 tricot family of temperaments.

Etymology

This comma was named by Paul Erlich in 2002[1][2].

See also

Notes