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I don't know about you, but when it comes to picking EDOs based on Subgroups, I'm actually kind of big on something I call "[[telicity]]".  While I admit that I haven't managed to express the concept very well as of yet, perhaps we could talk about this and clarify the concept, as I'd like to see this sort of thing mentioned in terms of how well an EDO approximates a given subgroup structure-wise. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 04:26, 22 January 2021 (UTC)
I don't know about you, but when it comes to picking EDOs based on Subgroups, I'm actually kind of big on something I call "[[telicity]]".  While I admit that I haven't managed to express the concept very well as of yet, perhaps we could talk about this and clarify the concept, as I'd like to see this sort of thing mentioned in terms of how well an EDO approximates a given subgroup structure-wise. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 04:26, 22 January 2021 (UTC)


: For the record, "telicity", as a concept, builds on Inthar's concept of "Consistency to distance ''d''" in terms of its core definition.  While I often use the term "telicity" to refer to this concept as a whole, perhaps in order to define this concept itself more clearly, we need to look at the adjective "telic", as "telicity" itself means "the quality or state of being telic".
: For the record, "telicity", as a concept, builds on Inthar's concept of "Consistency to distance ''d''" in terms of its core definition.  While I often use the term "telicity" to refer to this concept as a whole, perhaps in order to define this concept itself more clearly, I need to unpack it by first looking at the adjective "telic", as "telicity" itself means "the quality or state of being telic".


: For its part, "telic", when used to describe an EDO, can be defined as "able to successfully stack a number of instances of a given prime's [[patent interval]] to connect with an interval belonging to a chain created by a lower prime's [[patent interval]] (designated as the 'telos') without either accumulating 50% relative error or more at any point in the process on the part of either prime's patent interval chain, or, creating as mismatch in results between the [[direct mapping]] and the more complicated traditional mapping for any interval along the chain – all by means of tempering one or more commas smaller than half a step".  From this, we get the definition of "telic" when used to describe a comma, which "able to join two distinct prime interval chains [in the aforementioned manner] by being tempered".
: For its part, "telic", when used to describe an EDO, can be defined as "able to successfully stack a number of instances of a given prime's [[patent interval]] to connect with an interval belonging to a chain created by a lower prime's [[patent interval]] (designated as the 'telos') without either accumulating 50% relative error or more at any point in the process on the part of either prime's patent interval chain, or, creating as mismatch in results between the [[direct mapping]] and the more complicated traditional mapping for any interval along the chain – all by means of tempering one or more commas smaller than half a step".  From this, we get the definition of "telic" when used to describe a comma, which "able to join two distinct prime interval chains [in the aforementioned manner] by being tempered".