41/39

Revision as of 02:42, 25 February 2025 by Fredg999 (talk | contribs) (Undo revision 182962 by VectorGraphics (talk) Put back FJS statement, but keep section heading)

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.

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 norm (log2 nd) 10.643
Weil norm (log2 max(n, d)) 10.7151
Wilson norm (sopfr(nd)) 57
Open this interval in xen-calc

In regular temperaments

Tempering out this interval in the 3.13.41 subgroup results in the rank-2 41:39 temperament (b3 & b1).[1] 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