Landscape comma
(Redirected from 250047/250000)
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Ratio | 250047/250000 |
Factorization | 2^{-4} × 3^{6} × 5^{-6} × 7^{3} |
Monzo | [-4 6 -6 3⟩ |
Size in cents | 0.32544141¢ |
Name | landscape comma |
Color name | z^{3}g^{6}3, Trizogugu comma |
FJS name | [math]\text{ddd3}^{7,7,7}_{5,5,5,5,5,5}[/math] |
Special properties | reduced |
Tenney height (log_{2} 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.