Ploidacot/Triploid alpha-dicot

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Revision as of 09:36, 4 January 2026 by Xenllium (talk | contribs) (Created page with "{{Breadcrumb}} {{Infobox ploidacot|Ploids=3|Shears=1|Cots=2|Pergen=[P8/3, P4/2]|Forms=6, 9, 15, 24|Title=Triploid alpha-dicot|Wedgie=6}} '''Triploid alpha-dicot''' is a temperament archetype with a 1/3-octave period, and a generator of a hemifourth. In a pure tuning, the generator is exactly a half of 4/3. But the alternative generator with size around 151¢ is rather easier to grasp. Triploid alpha-dicot temperaments usually generate the 6L 3s and 9L 6s MO...")
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Triploid alpha-dicot
Pergen [P8/3, P4/2]
Numeral form 3-ploid 1-sheared 2-cot
Pure generator size 150.98 ¢
Pure period size 400 ¢
Forms 6, 9, 15, 24
Characteristic multival entry 6

Triploid alpha-dicot is a temperament archetype with a 1/3-octave period, and a generator of a hemifourth. In a pure tuning, the generator is exactly a half of 4/3. But the alternative generator with size around 151¢ is rather easier to grasp.

Triploid alpha-dicot temperaments usually generate the 6L 3s and 9L 6s MOS structures.

Intervals and notation

Triploid alpha-dicot notation is complicated as it conventionally requires either the introduction of new "1/3-pythagorean" ordinals or the use of scales other than the standard diatonic scale.

Temperament interpretations

Perhaps the most typical interpretation of this ploidacot is triforce. The period is 5/4~14/11 and the generator is 11/10~12/11~35/32, so that 3/2 is a period up two generators, 7/4 at two periods up one generator, and 11/8 at a period up one generator.