Ploidacot/Diploid alpha-dicot: Difference between revisions
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== Intervals and notation == | == Intervals and notation == | ||
Diploid alpha-dicot notation is complicated as it conventionally requires either the introduction of new "[[hemipythagorean]]" ordinals or the use of scales other than the standard diatonic scale. | Diploid alpha-dicot notation is complicated as it conventionally requires either the introduction of new "[[hemipythagorean]]" ordinals or the use of scales other than the standard diatonic scale. | ||
== Temperament interpretations == | == Temperament interpretations == | ||
Perhaps the most typical interpretation of this ploidacot is [[shrutar]]. The period is [[45/32]][[~]][[64/45]], and the generator is [[33/32]][[~]][[36/35]], so that [[3/2]] is a period up two generators, [[5/4]] is found at a period down four generators, [[7/4]] at a period up seven generators, and [[11/8]] at a period down one generator. [[17/16]] can represent two generators, and the period can be expressed as [[17/12]][[~]][[24/17]] in the 17-limit. The generator is ideally tuned slightly sharp of pure-3 tuning. | Perhaps the most typical interpretation of this ploidacot is [[shrutar]]. The period is [[45/32]][[~]][[64/45]], and the generator is [[33/32]][[~]][[36/35]], so that [[3/2]] is a period up two generators, [[5/4]] is found at a period down four generators, [[7/4]] at a period up seven generators, and [[11/8]] at a period down one generator. [[17/16]] can represent two generators, and the period can be expressed as [[17/12]][[~]][[24/17]] in the 17-limit. The generator is ideally tuned slightly sharp of pure-3 tuning. | ||