6656/6655

Interval information

Ratio

6656/6655

Factorization

2⁹ × 5^-1 × 11^-3 × 13

Monzo

[9 0 -1 0 -3 1⟩

Size in cents

0.2601208¢

Name

jacobin comma

Color name

thotrilu-agu comma

FJS name

[math]\displaystyle{ \text{m2}^{13}_{5,11,11,11} }[/math]

Special properties

superparticular,
reduced

Tenney height (log₂ nd)

25.4007

Weil height (log₂ max(n, d))

25.4009

Wilson height (sopfr(nd))

69

Open this interval in xen-calc

6656/6655, the Jacobin comma, is a 13-limit superparticular interval of about 0.26012 cents. It is the difference between a stack of 3 11/8 superfourths and one 13/10 third plus an octave.

By tempering it out, the Jacobin temperament is defined. Perhaps most remarkably, 1789edo is an edo that supports the Jacobin temperament. Simpler edos that support this temperament include 37, 72, 135, 159, 183, 194, 320. On the larger end, the list includes edos like 3395 and 3125. Although it is more rational to use JI-approximating edos like the above mentioned for this temperament, 1789edo has a unique position due to its number of steps being a hallmark year of the French Revolution.

6656/6655

See also