Rank-2 temperaments by mapping of 3: Difference between revisions

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The motivation for this is that [[4/3]] and [[3/2]] are the most consonant intervals within an octave, so it makes sense to look for temperaments where they occur often. Moreover, if two temperaments fall into the same category on this page, they not only have similar [[mos]] structure, but also the consonant intervals 4/3 and 3/2 will appear in the same places in each mos they have in common, so an important part of the harmonic structure is similar as well as the melodic structure. See also [[~~Pergen~~]].

The motivation for this is that [[4/3]] and [[3/2]] are the most consonant intervals within an octave, so it makes sense to look for temperaments where they occur often. Moreover, if two temperaments fall into the same category on this page, they not only have similar [[mos]] structure, but also the consonant intervals 4/3 and 3/2 will appear in the same places in each mos they have in common, so an important part of the harmonic structure is similar as well as the melodic structure.

See also [[Ploidacot]] and [[Catalog of temperaments by wedgie]].

== Complexity 0 ==

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 Following is a list of [[2/1|octave]]-repeating [[rank-2 temperament|rank-2]] [[regular temperament|temperaments]], organized by the mapping of the [[prime interval|prime]] [[3/1|3]].
-The motivation for this is that [[4/3]] and [[3/2]] are the most consonant intervals within an octave, so it makes sense to look for temperaments where they occur often. Moreover, if two temperaments fall into the same category on this page, they not only have similar [[mos]] structure, but also the consonant intervals 4/3 and 3/2 will appear in the same places in each mos they have in common, so an important part of the harmonic structure is similar as well as the melodic structure. See also [[Pergen]].
+The motivation for this is that [[4/3]] and [[3/2]] are the most consonant intervals within an octave, so it makes sense to look for temperaments where they occur often. Moreover, if two temperaments fall into the same category on this page, they not only have similar [[mos]] structure, but also the consonant intervals 4/3 and 3/2 will appear in the same places in each mos they have in common, so an important part of the harmonic structure is similar as well as the melodic structure.
+See also [[Ploidacot]] and [[Catalog of temperaments by wedgie]].
 == Complexity 0 ==