Cheensma

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 41067/40960
Factorization 2-13 × 35 × 5-1 × 132
Monzo [-13 5 -1 0 0 2
Size in cents 4.516614¢
Name cheensma
Color name L3oog1,
lathothogu unison
FJS name [math]\displaystyle{ \text{d1}^{13,13}_{5} }[/math]
Special properties reduced
Tenney height (log2 nd) 30.6476
Weil height (log2 max(n, d)) 30.6514
Wilson height (sopfr(nd)) 72
Comma size small
Open this interval in xen-calc

The cheensma is a 2.3.5.13-subgroup comma measuring about 4.5 ¢. Tempering only this comma out in the 2.3.5.13 subgroup yields the rank-3 cheen temperament, a restriction of full 13-limit zeus, splitting the grave fifth of ~40/27 into two ~39/32 neutral thirds of equal width. In the full 13-limit, tempering out only the cheensma leads to rank-5 cheensmic temperament. As this comma is the product of the keenanisma (385/384) and the chalmersia (123201/123200), its name is a portamenteau of the two, which was given by Tristan Bay in 2025.