Xenharmonic Wiki:Things to do: Difference between revisions
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# every instance of an interval in C is mapped to the same size in its approximation C' (for example, 4:6:9 is approximated using two fifths of the same size), and | # every instance of an interval in C is mapped to the same size in its approximation C' (for example, 4:6:9 is approximated using two fifths of the same size), and | ||
# no interval within the chord is off by more than 50% of an edo step. | # no interval within the chord is off by more than 50% of an edo step. | ||
I think the formulation "1:3:5:7:9:11 is consistent in 31edo" is more obviously meaningful than "31edo is consistent in the 11-odd limit". A set of odd numbers such as an odd limit corresponds to a harmonic series chord independent of voicing. | : I think the formulation "1:3:5:7:9:11 is consistent in 31edo" is more obviously meaningful than "31edo is consistent in the 11-odd limit". A set of odd numbers such as an odd limit corresponds to a harmonic series chord independent of voicing. | ||
== Reduce over-2 and prime-limit bias == | == Reduce over-2 and prime-limit bias == | ||