Pentonisma
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Ratio
281974669312/281950621875
Factorization
224 × 3-5 × 5-5 × 75 × 13-5
Monzo
[24 -5 -5 5 0 -5⟩
Size in cents
0.1476498¢
Name
pentonisma
Color name
s3u5z5g54, saquinthuzogu 4th
FJS name
[math]\text{dd4}^{7,7,7,7,7}_{5,5,5,5,5,13,13,13,13,13}[/math]
Special properties
reduced
Tenney height (log2 nd)
76.0734
Weil height (log2 max(n, d))
76.0735
Wilson height (sopfr(nd))
188
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.19842 bits
Comma size
unnoticeable
open this interval in xen-calc
Interval information |
(Shannon, [math]\sqrt{nd}[/math])
Pentonisma, 281974669312/281950621875, is a 13-limit unnoticeable comma, which separates a stack of five 224/195's from the octave.
Temperaments
Tempering it out results in the rank-5 pentonismic temperament in the full 13-limit, or in the 2.3.5.7.13 subgroup, rank-4 pentonic temperament.
Etymology
Pentonisma was named by Xenllium in 2022.