Pentonisma

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~1.19842 bits
Comma size	unnoticeable
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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.