10ed7/3: Difference between revisions

@@ Line 3: / Line 3: @@
 == Theory ==
-ed7/3 is essentially a tritave stretch of [[13edt]], the equalized [[Bohlen-Pierce]] scale, and as a result tempers out [[245/243]] and [[3125/3087]] in the [[3.5.7 subgroup]], as well as [[529/525]] and [[1127/1125]] when prime 23 is introduced. It fails to represent any other primes of note within 20 cents. Making this stretch makes [[5/1]] and [[23/1]] closer to just compared to 13edt, while both [[3/1]] and [[7/1]] are about 5 [[cents]] sharp of just.
+ed7/3 is essentially a tritave stretch of [[13edt]], the equalized [[Bohlen–Pierce]] scale, and as a result tempers out [[245/243]] and [[3125/3087]] in the [[3.5.7 subgroup]], as well as [[529/525]] and [[1127/1125]] when prime 23 is introduced. It fails to represent any other primes of note within 20 cents. Making this stretch makes [[5/1]] and [[23/1]] closer to just compared to 13edt, while both [[3/1]] and [[7/1]] are about 5 [[cents]] sharp of just.
 === Harmonics ===
-{{Harmonics in equal
+{{Harmonics in equal|10|7|3|columns=11}}
-| steps = 10
+{{Harmonics in equal|10|7|3|columns=12|start=12|collapsed=1|title=Approximation of harmonics in 10ed7/3 (continued)}}
-| num = 7
-| denom = 3
-}}
-{{Harmonics in equal
-| steps = 10
-| num = 7
-| denom = 3
-| start = 12
-| collapsed = 1
-}}
 == Intervals ==
 {{Interval table}}