Xenharmonic Wiki:Things to do: Difference between revisions
| Line 152: | Line 152: | ||
# 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. | ||
== Categorizing edos as subgroups == | |||
We need a criterion that's as objective as possible for when an EDO should be said to be good for JI subgroups. Some possibilities: | |||
# absolute error | |||
# [[consistent]] | |||
# consistent to distance 1 | |||
Whatever criterion is used, we should state that that criterion was used, in the interest of transparency. | |||
This can be discussed in [[Xenharmonic Wiki talk: Things to do #Categorizing edos as subgroups]]. | |||
== Reduce over-2 and prime-limit bias == | == Reduce over-2 and prime-limit bias == | ||