39edt: Difference between revisions

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 == Approximation to JI ==
-=== No-2 zeta peak ===
+According to the finite Euler product with sigma = 1, the 3.5.7.11.13 subgroup gets its maxima at 48.82085 ¢. With sigma = 1/2, it gives 48.82100 ¢.
-{| class="wikitable"
-|+
-!Steps
-per octave
-!Steps
-per tritave
-!Step size
-(cents)
-!Height
-!Tritave size
-(cents)
-!Tritave stretch
-(cents)
-|-
-|24.573831630
-|38.948601633
-|48.832433543
-|4.665720
-|1904.464908194
-|2.509907328
-|}
-Every 7 steps of the [[172edo|172f]] val is an excellent approximation of the ninth no-2 zeta peak in the 15-limit.
+The Tenney–Euclidean regular temperement in the 3.5.7.11.13 subgroup mapped with [⟨39 57 69 85 91]] gives 48.82201 ¢.
+ed7, with a step size of 48.82356 ¢, is an equal division that approximate this area better than 39edt.
 == Music ==