Starscape comma

Interval information

Ratio	645700815/645657712
Factorization	2-4 × 317 × 5 × 7-9
Monzo	[-4 17 1 -9⟩
Size in cents	0.1155704¢
Name	starscape comma
Color name	Lr9y-6, latritriru-ayo negative 6th
FJS name	[math]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~1.19994 bits
Comma size	unnoticeable
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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

• Unnoticeable comma