Talk:Consistency: Difference between revisions

Line 17:

: Not going to lie, I'm somewhat against this proposed alternative definition at this point because I'm not settling for second-best mappings in when it comes to the definition of things like telicity. Perhaps if this definition can meet the strict requirements behind my idea of telicity, then I can get behind this idea. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 06:11, 22 January 2021 (UTC)

:: This definition is not about telicity, although it is strongly related to it and can be used to define it. We are talking about the correct definition of a specific concept of consistency for chords and the subgroups they represent and more generally for a set of intervals of interest. If you don't like spreading out error between primes to get an approximate chord and would prefer increased accuracy on a small number of primes, that's fine, you can use this definition to specify that too through a higher distance requirement. My proposed definition alteration means that if an interval '''r''' is consistent to distance '''d''', all integer powers of '''r''' from -d to +d are mapped consistently. Telicity (from my understanding) builds on this concept by having 2 ''prime'' pintervals meet at some point in their chains, and thus the smaller of the two distances is the consistent distance of the pair of prime intervals taken together. My confusion and thus suggestion for alteration is I don't see any strong reason to complicate this definition that gives such an easy and intuitive conceptualisation. --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 23:56, 22 January 2021 (UTC)

== Assimilate or Occupy? ==

@@ Line 17: / Line 17: @@
 : Not going to lie, I'm somewhat against this proposed alternative definition at this point because I'm not settling for second-best mappings in when it comes to the definition of things like telicity.  Perhaps if this definition can meet the strict requirements behind my idea of telicity, then I can get behind this idea. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 06:11, 22 January 2021 (UTC)
+:: This definition is not about telicity, although it is strongly related to it and can be used to define it. We are talking about the correct definition of a specific concept of consistency for chords and the subgroups they represent and more generally for a set of intervals of interest. If you don't like spreading out error between primes to get an approximate chord and would prefer increased accuracy on a small number of primes, that's fine, you can use this definition to specify that too through a higher distance requirement. My proposed definition alteration means that if an interval '''r''' is consistent to distance '''d''', all integer powers of '''r''' from -d to +d are mapped consistently. Telicity (from my understanding) builds on this concept by having 2 ''prime'' pintervals meet at some point in their chains, and thus the smaller of the two distances is the consistent distance of the pair of prime intervals taken together. My confusion and thus suggestion for alteration is I don't see any strong reason to complicate this definition that gives such an easy and intuitive conceptualisation. --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 23:56, 22 January 2021 (UTC)
 == Assimilate or Occupy? ==