Ploidacot/Diploid alpha-tricot: Difference between revisions
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{{Breadcrumb}}{{Infobox ploidacot|Ploids=2|Shears=1|Cots=3|Pergen=[P8/2, P4/3]|Forms=6, 8, 14|Title=Diploid alpha-tricot}} | {{Breadcrumb}}{{Infobox ploidacot|Ploids=2|Shears=1|Cots=3|Pergen=[P8/2, P4/3]|Forms=6, 8, 14|Title=Diploid alpha-tricot}} | ||
'''Diploid alpha-tricot''' is a temperament archetype with a half-octave period, and a generator that is technically a third of the size of a stack of a period and a perfect fifth ( | '''Diploid alpha-tricot''' is a temperament archetype with a half-octave period, and a generator that is technically a third of the size of a stack of a period and a perfect fifth (433.98{{c}}), 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. | Diploid alpha-tricot temperaments usually generate the [[2L 4s]], [[6L 2s]] and [[8L 6s]] MOS structures. | ||
Revision as of 15:40, 6 September 2025
| 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 technically 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.