Landscape comma

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Interval information
Ratio 250047/250000
Factorization 2-4 × 36 × 5-6 × 73
Monzo [-4 6 -6 3
Size in cents 0.32544141¢
Name landscape comma
Color name z3g63, Trizogugu comma
FJS name [math]\text{ddd3}^{7,7,7}_{5,5,5,5,5,5}[/math]
Special properties reduced
Tenney height (log2 n⋅d) 35.8634
Weil height (max(n, d)) 250047
Benedetti height (n⋅d) 62511750000
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.39795 bits
Comma size unnoticeable
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, the amount 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. An octave widened by this comma is [-3 6 -6 3⟩, a monzo with four threeven numbers. Thus landscape microtemperaments split the octave into three parts. It follows that any edo (41, for example) that isn't threeven cannot temper out the landscape comma.

See also