Pentonisma: Difference between revisions

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Created page with "{{Infobox Interval |Monzo = 24 -5 -5 5 0 -5 |Name = pentonisma |Comma = yes }} Pentonisma is a 13-limit unnoticeable comma, which separates a stack of 5 224/195's from th..."
 
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{{Infobox Interval
{{Infobox Interval
|Ratio = 281974669312/281950621875
|Monzo = 24 -5 -5 5 0 -5
|Monzo = 24 -5 -5 5 0 -5
|Name = pentonisma
|Name = pentonisma
|Color name = s3u<sup>5</sup>z<sup>5</sup>g<sup>5</sup>4, saquinthuzogu 4th
|Comma = yes
|Comma = yes
}}
}}


Pentonisma is a 13-limit unnoticeable comma, which separates a stack of 5 [[224/195]]'s from the octave.  
'''Pentonisma''', '''281974669312/281950621875''', is a [[13-limit]] unnoticeable comma, which separates a stack of five [[224/195]]'s from the octave.  
 
== Temperaments ==
== 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.
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 ==
== Etymology ==
Pentonisma was named by [[Xenllium]] in 2022.
Pentonisma was named by [[User:Xenllium|Xenllium]] in 2022.
 
[[Category:Commas with unknown etymology]]

Latest revision as of 03:35, 4 November 2024

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 norm (log2 nd) 76.0734
Weil norm (log2 max(n, d)) 76.0735
Wilson norm (sopfr(nd)) 188
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.