41/39: Difference between revisions

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{{Infobox Interval}}
{{Infobox Interval
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.
| Comma = yes}}
 
'''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 ==
== In regular temperaments ==
Tempering out this interval in the 3.13.41 subgroup results in the rank-2 41:39 temperament (b3 & b1).[https://x31eq.com/pyscript/rt.html?ets=b3_b1&limit=3_13_41] 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
[[Tempering out]] this interval in the 3.13.41 [[subgroup]] results in the [[rank-2]] 41:39 temperament (b3 & b1) ([https://x31eq.com/pyscript/rt.html?ets=b3_b1&limit=3_13_41 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

Revision as of 02:08, 27 February 2025

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
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