From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 171885556953/171798691840
Factorization 2-35 × 317 × 5-1 × 113
Monzo [-35 17 -1 0 3
Size in cents 0.87512794¢
Name triagnoshenisma
Color name trila-trilo-agu negative 3rd, L31o3g-3
FJS name [math]\text{d}{-3}^{11,11,11}_{5}[/math]
Special properties reduced
Tenney height (log2 nd) 74.6446
Weil height (log2 max(n, d)) 74.6453
Wilson height (sopfr (nd)) 159
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.40076 bits
Comma size unnoticeable
open this interval in xen-calc

The triagnoshenisma, is an unnoticeable 11-limit comma (specifically of the subgroup) with a ratio of 171885556953/171798691840, and a size of roughly 0.88 cents.

Its name comes from two of the main ways of conceptualizing it. Firstly, it is the amount by which a stack of three 1024/891 inframinor thirds falls short of a 243/160 lamb fifth, hence the first part of the comma's name – from the Latin tri- prefix plus the Latin word agnus, with the linking -o- replacing the ending of "agnus". Secondly, it is the amount by which a stack of three 8192/8019 inframinor seconds falls short of a 16/15 minor second, which, since both of these intervals are types of second in diatonic-based interval naming schemes, leads to the second part of the comma's name – from the Hebrew word shení, meaning "second".

Although this comma is unnoticeable, it is tempered out in EDOs such as 29edo, 65edo and 159edo.