686/675
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Ratio | 686/675 |
Factorization | 2 × 3^{-3} × 5^{-2} × 7^{3} |
Monzo | [1 -3 -2 3⟩ |
Size in cents | 27.985289¢ |
Names | sengic comma, senga |
Color name | z^{3}gg3, Trizo-agugu comma |
FJS name | [math]\text{dd3}^{7,7,7}_{5,5}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 18.8208 |
Weil height (log_{2} max(n, d)) | 18.8441 |
Wilson height (sopfr (nd)) | 42 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.38834 bits |
Comma size | small |
S-expression | S13 * S14^{2} |
open this interval in xen-calc |
The interval of 686/675, the senga or sengic comma is a small 7-limit comma. It pops up as the difference between a stack of three 7/6's and a stack of two 5/4's.
Temperaments
Tempering out this comma in the 7-limit leads to the rank-3 sengic temperament. See sengic family for the rank-3 temperament family where it is tempered out.
Etymology
The name senga was given by Gene Ward Smith in 2005. It is a contraction of sensi and gawel, although gawel was later renamed to liese^{[1]}.