86/85

Interval information

Ratio	86/85
Subgroup monzo	2.5.17.43 [1 -1 -1 1⟩
Size in cents	20.24858¢
Name	43-limit 10th-tone
FJS name	[math]\displaystyle{ \text{P1}^{43}_{5,17} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	12.8357
Weil norm (log2 max(n, d))	12.8525
Wilson norm (sopfr(nd))	67
Comma size	small
Open this interval in xen-calc

86/85 is a 43-limit (2.5.17.43 subgroup) comma of about 20.25 cents. User:MisterShafXen suggests the name 43-limit 10th-tone for this interval, as it is 0.25 cents or so from the step of 60edo.

Temperaments

Tempering out this comma in the full 43-limit results in a rank-11 temperament.

Tempering out this comma in the 2.5.17.43 subgroup results in a rank-3 temperament.

Mapping: [(1 0 0 -1] (0 1 0 1] (0 0 1 1])

TE Tuning: ~2=1199.615, ~5=2788.391, ~17=4911.394, ~43=6500.171