Xenharmonic Wiki:Things to do: Difference between revisions

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=== Terminology proposals ===

Reformulate use of special terms to make them more obviously musically meaningful.

* Re-formulate "[[consistent]]": Use the formulations "'''all-odd harmonic series chord C is consistent in N-edo~~'''" or "'''N-edo is consistent with chord C~~'''" to mean that:

* Re-formulate "[[consistent]]": Use the formulations "'''all-odd harmonic series chord C is consistent in N-edo'''" to mean that:

# 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.

I think the formulation "1:3:5:7:9:11 is consistent in 31edo~~" or "31edo is consistent with 1:3:5:7:9:11~~" 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.

== Set a semi-objective standard for classifying edos as subgroup temperaments ==

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 === Terminology proposals ===
 Reformulate use of special terms to make them more obviously musically meaningful.
-* Re-formulate "[[consistent]]": Use the formulations "'''all-odd harmonic series chord C is consistent in N-edo'''" or "'''N-edo is consistent with chord C'''" to mean that:
+* Re-formulate "[[consistent]]": Use the formulations "'''all-odd harmonic series chord C is consistent in N-edo'''" to mean that:
 # 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.
-I think the formulation "1:3:5:7:9:11 is consistent in 31edo" or "31edo is consistent with 1:3:5:7:9:11" 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.
 == Set a semi-objective standard for classifying edos as subgroup temperaments ==