Ploidacot/Diploid alpha-tricot

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Diploid alpha-tricot
Pergen [P8/2, P4/3]
Numeral form 2-ploid 1-sheared 3-cot
Pure generator size 166.01 ¢
Pure period size 600 ¢
Forms 6, 8, 14
Characteristic multival entry 6

Diploid alpha-tricot is a temperament archetype with a half-octave period, and a generator that is a third of the size of a stack of a period and a perfect fifth (433.98 ¢), but the alternative generator with size a third of a perfect fourth is rather easier to grasp.

Diploid alpha-tricot temperaments usually generate the 2L 4s, 6L 2s, and 8L 6s MOS structures.

Intervals and notation

Diploid alpha-tricot 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

Here, there is one obvious temperament, which is a 2.3.7.11/5.17 restriction of echidna.

The larger generator is equated to 9/7 and the smaller one to 11/10, treating the period as 99/70. This is also equated to 17/12, which leads to the stack of three large generators being 17/8.