Template talk:Infobox ET: Difference between revisions

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"Subgroup" might be an unnecessarily convoluted way of presenting what can just be presented as harmonic series chords. For example, "[[18edo]] approximates 3:7:13:15:17:23:27:29" is more direct than the equivalent "18edo is a temperament on the 2.5.9.21.13/3.17/3.23/3.29/3 subgroup". Arguably the harmonic series chord approximated is the more directly musical property of an edo whereas the subgroup interpretation is a technical tool you use to do temperament computations. [[User:IlL|IlL]] ([[User talk:IlL|talk]]) 18:41, 4 December 2020 (UTC)

: I'll be honest, I do think that there should be two sets of criteria for including a subgroup- superb, and passable. I'm thinking the EDO's superb subgroup representation range would be less than 3.5 cents of absolute error for base intervals in a given subgroup- e.g. 12edo and 53edo could both be considered superb at representing both [[3/2]] and [[4/3]] because of the differences from just intonation being less than 3.5 cents. Meanwhile, I'm thinking the EDO's passable subgroup representation range would involve differences of less than half of a step for said EDO- e.g. 12edo's representation of [[5/4]] and [[8/5]] is passable because the absolute error rates are less than half a step. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 19:35, 4 December 2020 (UTC)

=== Fifth type ===

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 "Subgroup" might be an unnecessarily convoluted way of presenting what can just be presented as harmonic series chords. For example, "[[18edo]] approximates 3:7:13:15:17:23:27:29" is more direct than the equivalent "18edo is a temperament on the 2.5.9.21.13/3.17/3.23/3.29/3 subgroup". Arguably the harmonic series chord approximated is the more directly musical property of an edo whereas the subgroup interpretation is a technical tool you use to do temperament computations. [[User:IlL|IlL]] ([[User talk:IlL|talk]]) 18:41, 4 December 2020 (UTC)
+: I'll be honest, I do think that there should be two sets of criteria for including a subgroup- superb, and passable.  I'm thinking the EDO's superb subgroup representation range would be less than 3.5 cents of absolute error for base intervals in a given subgroup- e.g. 12edo and 53edo could both be considered superb at representing both [[3/2]] and [[4/3]] because of the differences from just intonation being less than 3.5 cents.  Meanwhile, I'm thinking the EDO's passable subgroup representation range would involve differences of less than half of a step for said EDO- e.g. 12edo's representation of [[5/4]] and [[8/5]] is passable because the absolute error rates are less than half a step. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 19:35, 4 December 2020 (UTC)
 === Fifth type ===