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 | 0.14764985¢ |
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{nd}[/math]) |
~1.19842 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.