41/39

Interval information

Ratio	41/39
Subgroup monzo	3.13.41 [-1 -1 1⟩
Size in cents	86.57974¢
Name(s)	missing ?
FJS name	[math]\displaystyle{ \text{A1}^{41}_{13} }[/math]
Special properties	reduced
Tenney height (log2 nd)	10.643
Weil height (log2 max(n, d))	10.7151
Wilson height (sopfr(nd))	57
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.3166 bits
Comma size	medium
Open this interval in xen-calc

41/39 is a 41-limit (3.13.41 subgroup) interval of about 86.6 cents. In the FJS system, it is treated as an augmented 1sn.

In regular temperaments

Tempering out this interval in the 3.13.41 subgroup results in the rank-2 41:39 temperament (b3 & b1) (x31eq page).

The mapping is as follows: [[1 2 3] [0 1 1]]. The TE tuning map is as follows: ~3=1906.798, ~13=4466.927, ~41=6373.725