Technologisma

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.

Interval information

Factorization	251 × 3-13 × 5-1 × 7-10
Monzo	[51 -13 -1 -10⟩
Size in cents	0.01221019¢
Name	technologisma
Color name	trisa-quinbiru-agu negative 3rd, s3r10g-3, trisa-quinbiru-agu comma
FJS name	[math]\displaystyle{ \text{m}{-3}_{5,7,7,7,7,7,7,7,7,7,7} }[/math]
Special properties	reduced, reduced subharmonic
Tenney norm (log2 nd)	102
Weil norm (log2 max(n, d))	102
Wilson norm (sopfr(nd))	216
Comma size	unnoticeable
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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.