From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Factorization 251 × 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, s3r10g-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 (log2 nd) 102
Weil height (log2 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.


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.