41/39: Difference between revisions

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

Latest revision as of 01:40, 13 November 2025

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

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

@@ Line 1: / Line 1: @@
-{{Infobox Interval}}
+{{Infobox Interval
-/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 a chromatic semitone.
 == 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