Landscape comma

Interval information

Ratio

250047/250000

Factorization

2^-4 × 3⁶ × 5^-6 × 7³

Monzo

[-4 6 -6 3⟩

Size in cents

0.3254414¢

Name

landscape comma

FJS name

[math]\displaystyle{ \text{ddd3}^{7,7,7}_{5,5,5,5,5,5} }[/math]

Special properties

reduced

Tenney height (log₂ nd)

35.8634

Weil height (log₂ max(n, d))

35.8637

Wilson height (sopfr(nd))

77

Open this interval in xen-calc

The landscape comma is the 7-limit unnoticeable comma with a ratio of 250047/250000 and a size of 0.33 cents. It is the amount by which three 63/50's exceed an octave, by which three septimal kleismas fall short of the Pythagorean comma, and also the difference of 2401/2400 and 4375/4374, the two smallest 7-limit superparticular commas. Tempering 63/50 interval into one degree of 3edo (exact 400 cents) is highly characteristic of landscape microtemperaments – any tuning system (41edo, for example) in which the number of divisions of the octave is not a multiple of 3 cannot temper out the landscape comma.

Landscape comma

See also