Tricot comma
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Factorization
239 × 3-29 × 53
Monzo
[39 -29 3⟩
Size in cents
2.246116¢
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
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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].