86/85
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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]\text{P1}^{43}_{5,17}[/math]
Special properties
superparticular,
reduced
Tenney height (log2 nd)
12.8357
Weil height (log2 max(n, d))
12.8525
Wilson height (sopfr(nd))
67
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.79204 bits
Comma size
small
Open this interval in xen-calc
| Interval information |
reduced
(Shannon, [math]\sqrt{nd}[/math])
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