686/675
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| Ratio | 686/675 |
| Factorization | 2 × 3-3 × 5-2 × 73 |
| Monzo | [1 -3 -2 3⟩ |
| Size in cents | 27.985289¢ |
| Names | sengic comma, senga |
| Color name | z3gg3, Trizo-agugu comma |
| FJS name | [math]\text{dd3}^{7,7,7}_{5,5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 18.8208 |
| Weil height (log2 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 * S142 |
| 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.
Tempering out this comma in the 3/2.5/4.7/4 fractional subgroup gives ambulatory temperament.
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].