Maximal evenness: Difference between revisions
→Mathematics: We need to define DE in terms of ME, since we have a canonical example of a distributionally even set. |
→Example 2: 37edo's 11/8: actually name these |
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Let's say we want to see what would repeatedly stacking 11th harmonic do well in all of 11-limit, in an EDO that presents it well. | Let's say we want to see what would repeatedly stacking 11th harmonic do well in all of 11-limit, in an EDO that presents it well. | ||
11/8 amounts to 17 steps of 37edo, and the solution to the problem 17*x mod 1 = 37 is 24, meaning if the generator is 11/8, we are dealing with a 24 tone maximally even scale. As such, the temperament we are looking for is 24 & 37 | 11/8 amounts to 17 steps of 37edo, and the solution to the problem 17*x mod 1 = 37 is 24, meaning if the generator is 11/8, we are dealing with a 24 tone maximally even scale. As such, the temperament we are looking for is 24 & 37, which can be interpreted as [[freivald]] or [[emka]]. | ||
=== Example 3: On-request maximum evenness scales === | === Example 3: On-request maximum evenness scales === | ||