Ploidacot/Triploid alpha-dicot: Difference between revisions
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..." Tags: Mobile edit Mobile web edit |
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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. | 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. | ||
[[Category: | [[Category:Ploidacots]] | ||
Revision as of 09:43, 6 January 2026
| 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.