41/39: Difference between revisions

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In REXICS, 41/39 is treated as a minor second. (The difference between aug 1sn and min 2nd should not be used in the classification of JI intervals, except for the 3-limit and simple, commonly-accepted intervals in diatonic-like scales. NOT an interval whose page was just created).
Undo revision 182962 by VectorGraphics (talk) Put back FJS statement, but keep section heading
Tag: Undo
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{{Infobox Interval}}
{{Infobox Interval}}
41/39 is a 41-limit (3.13.41 subgroup) interval of about 86.6 cents.
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] 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 02:42, 25 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
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).[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