Tricot comma
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Factorization | 2^{39} × 3^{-29} × 5^{3} |
Monzo | [39 -29 3⟩ |
Size in cents | 2.2461165¢ |
Name | tricot comma |
Color name | s^{4}y^{3}3, quadsa-triyo 3rd |
FJS name | [math]\text{dd3}^{5,5,5}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 91.9297 |
Weil height (log_{2} 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]}.