456/455

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 height (log2 nd)	17.6626
Weil height (log2 max(n, d))	17.6658
Wilson height (sopfr(nd))	53
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.33286 bits
Comma size	small
S-expression	S36 × S37 × S38
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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. Which in turn was named after a Celtic goddess.

See also

• Small comma
• List of superparticular intervals