Triagnoshenisma
Ratio | 171885556953/171798691840 |
Factorization | 2^{-35} × 3^{17} × 5^{-1} × 11^{3} |
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 (log_{2} nd) | 74.6446 |
Weil height (log_{2} 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 2.3.5.11 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.