456/455: Difference between revisions

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'''456/455''', the '''abnobisma''', is a [[19-limit]] [[Superparticular ratio|superparticular comma]] of about 3.8 [[cent]]s. It is the amount by which a stack consisting of [[7/6]] and [[20/19]] falls short of [[16/13]]. By tempering it out is defined the '''abnobismic temperament''', which enables the [[abnobismic chords]].
'''456/455''', the '''abnobisma''', is a [[19-limit]] [[Superparticular ratio|superparticular comma]] of about 3.8 [[cent]]s. It is the amount by which a stack consisting of [[7/6]] and [[20/19]] falls short of [[16/13]], and the difference between [[35/24]] = (7/6)([[5/4]]) and [[19/13]]. By tempering it out is defined the '''abnobismic temperament''', which enables the [[abnobismic chords]].


== Etymology ==
== Etymology ==

Latest revision as of 17:59, 5 March 2026

Interval information
Ratio 456/455
Factorization 23 × 3 × 5-1 × 7-1 × 13-1 × 19
Monzo [3 1 -1 -1 0 -1 0 1
Size in cents 3.800735¢
Name abnobisma
Color name 19o3urg1,
nothurugu 1sn,
Nothurugu comma
FJS name [math]\displaystyle{ \text{P1}^{19}_{5,7,13} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 17.6626
Weil norm (log2 max(n, d)) 17.6658
Wilson norm (sopfr(nd)) 53
Comma size small
S-expression S36⋅S37⋅S38
Open this interval in xen-calc

456/455, the abnobisma, is a 19-limit superparticular comma of about 3.8 cents. It is the amount by which a stack consisting of 7/6 and 20/19 falls short of 16/13, and the difference between 35/24 = (7/6)(5/4) and 19/13. By tempering it out is defined the abnobismic temperament, which enables the abnobismic chords.

Etymology

The name abnobisma was named by Xenllium in 2023. It refers to 456 Abnoba, the asteroid. Which in turn was named after a Celtic goddess.

See also