Ploidacot/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. As such, there is no universally accepted convention. Note and interval names are provided where triploid alpha-dicot intervals align with standard monocot intervals (which use chain-of-fifths notation).
| # | Ploid 1 | Ploid 2 | Ploid 3 | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Cents | Notation | Name | Cents | Notation | Name | Cents | Notation | Name | |
| −5 | 45.11 | — | — | 445.11 | — | — | 845.11 | — | — |
| −4 | 196.09 | — | — | 596.09 | — | — | 996.09 | Bb | minor seventh |
| −3 | 347.07 | — | — | 747.07 | — | — | 1147.07 | — | — |
| −2 | 98.04 | — | — | 498.04 | F | perfect fourth | 898.04 | — | — |
| −1 | 249.02 | — | — | 649.02 | — | — | 1049.02 | — | — |
| 0 | 0 | C | unison | 400 | — | — | 800 | — | — |
| 1 | 150.98 | — | — | 550.98 | — | — | 950.98 | — | — |
| 2 | 301.96 | — | — | 701.96 | G | perfect fifth | 1101.96 | — | — |
| 3 | 52.93 | — | — | 452.93 | — | — | 852.93 | — | — |
| 4 | 203.91 | D | major second | 603.91 | — | — | 1003.91 | — | — |
| 5 | 354.89 | — | — | 754.89 | — | — | 1154.89 | — | — |
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.