Template talk:Infobox ET: Difference between revisions
m →Subgroup: refine criterion because higher dyads need to be more accurate |
m →Subgroup: expand |
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The criterion for including a subgroup could be <20 cents of dyadic error for each interval, but <10 cents for dyads of integer limit >11 because higher dyads need to be more accurate to be interpreted as that dyad. in the relevant "odd-limit" tonality diamond (and possibly consistency). [[User:IlL|IlL]] ([[User talk:IlL|talk]]) 10:35, 3 December 2020 (UTC) | The criterion for including a subgroup could be <20 cents of dyadic error for each interval, but <10 cents for dyads of integer limit >11 because higher dyads need to be more accurate to be interpreted as that dyad. in the relevant "odd-limit" tonality diamond (and possibly consistency). [[User:IlL|IlL]] ([[User talk:IlL|talk]]) 10:35, 3 December 2020 (UTC) | ||
"Subgroup" might be an unnecessarily convoluted way of presenting what can just be presented as harmonic series chords. "3:7:13:15:17:23:27:29" is more direct than "2.5.9.21.13/3.17/3.23/3.29/3". [[User:IlL|IlL]] ([[User talk:IlL|talk]]) 18:41, 4 December 2020 (UTC) | "Subgroup" might be an unnecessarily convoluted way of presenting what can just be presented as harmonic series chords. For example, for [[18edo]] "3:7:13:15:17:23:27:29" is more direct than the equivalent "2.5.9.21.13/3.17/3.23/3.29/3". 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) | ||
=== Fifth type === | === Fifth type === | ||