Landscape comma: Difference between revisions

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Created page with "{{Infobox Interval | Icon = | Ratio = 250047/250000 | Monzo = -4 6 -6 3 | Cents = 0.32544 | Name = landscape comma | Color name = | FJS name = | Sound = }} The '''landsca..."
 
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* [[Landscape microtemperaments]]
* [[Landscape microtemperaments]]
* [[Unnoticeable comma]]
* [[Unnoticeable comma]]
[[Category:7-limit]]
[[Category:Unnoticeable comma]]
[[Category:Landscape]]

Revision as of 00:02, 22 December 2020

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 norm (log2 nd) 35.8634
Weil norm (log2 max(n, d)) 35.8637
Wilson norm (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 intervals exceed an Octave, and is also the amount by which a stack of three septimal kleismas falls short of the Pythagorean comma. Tempering 63/50 interval into one degree of 3edo (exact 400 cents) is highly characteristic of landscape tempering- 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