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
Color name	z3g63, trizogugu 3rd
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
Comma size	unnoticeable
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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. 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.

See also

• Landscape family
• Landscape microtemperaments
• Unnoticeable comma