5632/5625

Interval information

Ratio	5632/5625
Factorization	29 × 3-2 × 5-4 × 11
Monzo	[9 -2 -4 0 1⟩
Size in cents	2.153085¢
Name	vishdel comma
Color name	s1og42, saloquadgu 2nd
FJS name	[math]\displaystyle{ \text{dd2}^{11}_{5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	24.9171
Weil norm (log2 max(n, d))	24.9189
Wilson norm (sopfr(nd))	55
Comma size	unnoticeable
Open this interval in xen-calc

The vishdel comma is an 11-limit unnoticeable comma with a ratio of 5632/5625, a monzo of [9 -2 -4 0 1⟩, and a size of 2.1531 cents. It is the amount that the eleventh harmonic overshoots two perfect fifths, four major thirds, and an octave combined. It is also the amount by which four major thirds falls short of 11/9 plus an octave. It is tempered out in 11-limit extensions of temperaments such as vishnu, grendel, quasiorwell, hemithirds, and decoid.

Temperament

Tempering this comma out in the full 11-limit gives the rank-4 vishdel temperament. Below is the rank-3 subgroup temperament as the vishdel comma doesn't have any 7's.

118 & 65 & 152

Subgroup: 2.3.5.11

Comma list: 5632/5625

Mapping: [⟨1 0 0 -9], ⟨0 1 0 2], ⟨0 0 1 4]]

POTE generators: ~3/2 = 702.1744, ~5/4 = 386.7968

Optimal ET sequence: 31, 34, 53, 65, 87, 118, 152, 183, 217, 270

See also

• Unnoticeable comma
• Rank-4 temperament, where this comma's rank-4 temperament should be added to.