Starscape comma

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Interval information
Ratio 645700815/645657712
Factorization 2-4 × 317 × 5 × 7-9
Monzo [-4 17 1 -9
Size in cents 0.11557035¢
Name starscape comma
Color name Lr9y-6, latritriru-ayo negative 6th
FJS name [math]\text{5d}{-6}^{5}_{7,7,7,7,7,7,7,7,7}[/math]
Special properties reduced
Tenney height (log2 nd) 58.5325
Weil height (log2 max(n, d)) 58.5326
Wilson height (sopfr(nd)) 127
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.19994 bits
Comma size unnoticeable
open this interval in xen-calc

The starscape comma is an unnoticeable 7-limit comma, with a ratio of 645700815/645657712, a monzo of [-4 17 1 -9, and a size of 0.11557 cents. It is the difference between a stack of nine septimal major thirds octave reduced and a classical minor third.

Temperament

Tempering out this comma gives the starscape temperament (→ Very high accuracy temperaments #Starscape or Latritriru-ayo). It is tempered out in rank-2 temperaments such as domain and supermajor.

See also