The septrongisma[idiosyncratic term] is an unnoticeable 7-limit comma, with a ratio of 205891132094649/205885750000000, and a size of 0.045 cents. It is the amount by which a stack of seven 9/7s, nine 9/5s, and two 4/3s exceeds eleven octaves.

Interval information
Ratio 205891132094649/205885750000000
Factorization 2-7 × 330 × 5-9 × 7-7
Monzo [-7 30 -9 -7
Size in cents 0.04525589¢
Name septrongisma
Color name LLr7g9-4, lala-sepru-atritrigu negative 4th
FJS name [math]\displaystyle{ \text{d}{-4}_{5,5,5,5,5,5,5,5,5,7,7,7,7,7,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 95.0977
Weil norm (log2 max(n, d)) 95.0978
Wilson norm (sopfr(nd)) 198
Comma size unnoticeable
Open this interval in xen-calc

Temperaments

Tempering out this comma gives the rank-3 septrongismic temperament in the 7-limit. EDOs of a strong 7-limit system such as 171edo, 3125edo, and 11664edo support this temperament.

Etymology

The name septrongisma is a contraction of septimal (7-limit), strong, and schisma into a single word.

See also