686/675

The interval of 686/675, the senga or sengic comma is a small 7-limit comma measuring about 28.0 cents. It pops up as the difference between 7/6 and a stack of two 15/14's.

Interval information

Ratio	686/675
Factorization	2 × 3-3 × 5-2 × 73
Monzo	[1 -3 -2 3⟩
Size in cents	27.98529¢
Names	sengic comma, senga
Color name	z3gg3, Trizo-agugu comma
FJS name	[math]\displaystyle{ \text{dd3}^{7,7,7}_{5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	18.8208
Weil norm (log2 max(n, d))	18.8441
Wilson norm (sopfr(nd))	42
Comma size	small
S-expression	S13⋅S142
Open this interval in xen-calc

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.

Rank-2 temperaments tempering out this comma include sensi, negri and liese.

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.