From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 2376/2375
Factorization 23 × 33 × 5-3 × 11 × 19-1
Monzo [3 3 -3 0 1 0 0 -1
Size in cents 0.72878723¢
Name trichthonisma
Color name 19u1og31,
nulotrigu 1sn,
Nulotrigu comma
FJS name [math]\text{d1}^{11}_{5,5,5,19}[/math]
Special properties superparticular,
Tenney height (log2 nd) 22.428
Weil height (log2 max(n, d)) 22.4286
Wilson height (sopfr (nd)) 60
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.40122 bits
Comma size unnoticeable
open this interval in xen-calc

2376/2375, the trichthonisma, is a 19-limit superparticular comma of about 0.73 cents. It is the amount by which a stack of three 6/5s exceeds 19/11. By tempering it out is defined the trichthonismic temperament, which enables the trichthonismic chords.


The name trichthonisma was named by Xenllium in 2023, for the following reason - tempering it out leads dividing an interseptimal interval, 19/11 (octave complement of a chthonic interval, 22/19) in three.

See also