Ploidacot/Diploid alpha-dicot: Difference between revisions
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{{Infobox ploidacot|Ploids=2|Shears=1|Cots=2|Pergen=[P8/2, | {{Infobox ploidacot|Ploids=2|Shears=1|Cots=2|Pergen=[P8/2, M2/4]|Forms=16, 18, 20, 22|Title=Diploid alpha-dicot}} | ||
'''Diploid alpha-dicot''' is a temperament archetype with a half-octave period, and a generator of a quartertone. In a pure tuning, this is exactly a quarter of [[9/8]]. | '''Diploid alpha-dicot''' is a temperament archetype with a half-octave period, and a generator of a quartertone. In a pure tuning, this is exactly a quarter of [[9/8]]. | ||
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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. | |||
== 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]]. [[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. | 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]]. [[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. This tunes the generator slightly sharp. | ||
Latest revision as of 09:24, 10 September 2025
| Pergen | [P8/2, M2/4] |
| Numeral form | 2-ploid 1-sheared 2-cot |
| Pure generator size | 50.97 ¢ |
| Pure period size | 600 ¢ |
| Forms | 16, 18, 20, 22 |
Diploid alpha-dicot is a temperament archetype with a half-octave period, and a generator of a quartertone. In a pure tuning, this is exactly a quarter of 9/8.
Diploid alpha-dicot temperaments usually generate MOS structures with two large steps and many small ones, with reasonable hardness appearing somewhere around 2L 18s. As such, MOS scales can be less than useful in this region.
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.
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. 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. This tunes the generator slightly sharp.