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

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-{{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. 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
+| 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 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