456/455
Jump to navigation
Jump to search
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]\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{nd}[/math])
~1.33286 bits
Comma size
small
S-expression
S36 × S37 × S38
open this interval in xen-calc
| Interval information |
nothurugu 1sn,
Nothurugu comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
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.