456/455

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.

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
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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

• Small comma
• List of superparticular intervals