6655/6561

Interval information

Ratio	6655/6561
Factorization	3-8 × 5 × 113
Monzo	[0 -8 1 0 3⟩
Size in cents	24.62753 ¢
Name	deneb comma
Color name	Satrilo-ayo unison, s1o3y1
FJS name	[math]\displaystyle{ \text{d1}^{5,11,11,11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	25.3799
Weil norm (log2 max(n, d))	25.4004
Wilson norm (sopfr(nd))	62
Comma size	small
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6655/6561, the deneb comma is a small 11-limit comma measuring 24.628 cents. It is the amount by which three 11/9s exceed 9/5.

Temperaments

Tempering out this comma in the 3.5.11 subgroup leads to the non-octave deneb temperament. It is also one of the commas tempered out by the full 11-limit hitchcock temperament.

Many EDTs which do not temper out this comma in their 3.5.11 subgroup patent val will set it equal to 1 EDTstep. Notably, the 3.5.11 subgroup microtemperament 71edt does this.

Etymology

This comma was named by CompactStar in 2026 in terms of the corresponding temperament, deneb.