Hemipent: Difference between revisions

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== Temperament interpretations ==
== Temperament interpretations ==
EDOs which support hemipent by patent val include {{Edos| 6, 20, 24, 30, 38, 44, 62, and 68}}.
A rank-3 temperament which supports full hemipent must temper out at least three commas: one to equate an interval to its octave-complement, one to equate another interval to its fifth-complement, and one to equate another interval to its 5/4-complement. As a result, hemipent-based temperaments must be at least in the 13-limit or another 6-prime subgroup. As such, there are few specifically defined interpretations of hemipent structure as a temperament.
A rank-3 temperament which supports full hemipent must temper out at least three commas: one to equate an interval to its octave-complement, one to equate another interval to its fifth-complement, and one to equate another interval to its 5/4-complement. As a result, hemipent-based temperaments must be at least in the 13-limit or another 6-prime subgroup. As such, there are few specifically defined interpretations of hemipent structure as a temperament.