Pentonisma

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 281974669312/281950621875
Factorization 224 × 3-5 × 5-5 × 75 × 13-5
Monzo [24 -5 -5 5 0 -5
Size in cents 0.14764985¢
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{n\cdot d}[/math])
~2.39759 bits
Comma size unnoticeable
open this interval in xen-calc

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.