Technologisma
Factorization | 2^{51} × 3^{-13} × 5^{-1} × 7^{-10} |
Monzo | [51 -13 -1 -10⟩ |
Size in cents | 0.012210194¢ |
Name | technologisma |
Color name | trisa-quinbiru-agu negative 3rd, s^{3}r^{10}g-3, trisa-quinbiru-agu comma |
FJS name | [math]\text{m}{-3}_{5,7,7,7,7,7,7,7,7,7,7}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 102 |
Weil height (log_{2} max(n, d)) | 102 |
Wilson height (sopfr (nd)) | 216 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.19982 bits |
Comma size | unnoticeable |
open this interval in xen-calc |
The technologisma is an unnoticeable 7-limit comma measuring about 0.012 cents, or 1/98278.5 of an octave. Tempering it out gives the technologismic temperament, a very high accuracy 7-limit rank-3 temperament that can be defined by 46edo, 51edo and 130edo. It is the difference between the slendrisma and the schisma.
Etymology
This comma was found repeatedly through computer aid, and the name technologisma keeps the connection to technology without adding anything arbitrary. This is, mathematically speaking, a very efficient comma, even if very complex.
It was originally named chatgptsma (and its associated temperament, chatgptsmic) by Praveen Venkataramana and Tristan Bay in 2024 as a joke. Following negative reception from other members of the community about this name, a vote was held to determine a more fitting name. The name technologisma won this vote.