5985/5984

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 5985/5984
Factorization 2-5 × 32 × 5 × 7 × 11-1 × 17-1 × 19
Monzo [-5 2 1 1 -1 0 -1 1
Size in cents 0.28928633¢
Names neogrendel comma,
neogrendelisma
Color name 19o17u1uzy1,
Nosuluzoyo 1sn,
Nosuluzoyo comma
FJS name [math]\text{A1}^{5,7,19}_{11,17}[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 25.094
Weil height (log2 max(n, d)) 25.0943
Wilson height (sopfr (nd)) 75
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.19988 bits
Comma size unnoticeable
S-expression S133 × S134 × S135
open this interval in xen-calc

5985/5984, the neogrendelisma or neogrendel comma, is a 19-limit superparticular comma of about 0.29 cents. It is the amount by which a stack consisting of 17/14 and 22/19 falls short of 45/32. By tempering it out is defined the neogrendelismic temperament, which enables the neogrendelismic chords.

Commatic relations

This comma identifies itself as the difference between the following superparticular pairs:

It factors into the following superparticular pairs:

Etymology

The names neogrendelisma and neogrendel comma were named by Xenllium in 2023. They refer to the grendel temperament, which tempers out 256/255, 375/374, 400/399, 540/539 and 836/833 in the 2.3.5.7.11.17.19 subgroup.

See also