456/455

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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 3.8007349¢
Name abnobisma
Color name 19o3urg1,
nothurugu 1sn,
Nothurugu comma
FJS name [math]\text{P1}^{19}_{5,7,13}[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 17.6626
Weil height (log2 max(n, d)) 17.6658
Wilson height (sopfr (nd)) 53
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.5027 bits
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. 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.

See also