Ploidacot/Diploid alpha-tricot

From Xenharmonic Wiki
Jump to navigation Jump to search
Diploid alpha-tricot
Pergen [P8/2, P4/3]
Numeral form 2-ploid 1-sheared 3-cot
Pure generator size 166.02 ¢
Pure period size 600 ¢
Forms 6, 8, 14

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

The notation for diploid alpha-tricot is an extension of the notation for omega-tricot, but with a symbol for the half-octave.


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.