Ploidacot/Beta-tetracot: Difference between revisions

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{{Infobox ploidacot|Ploids=1|Shears=2|Cots=4|Pergen=[P8, P11/4]|Forms=11, 14, 17, 31|Title=Beta-tetracot|Wedgie=4}}
{{Infobox ploidacot|Ploids=1|Shears=2|Cots=4|Pergen=[P8, P11/4]|Forms=11, 14, 17, 31|Title=Beta-tetracot|Wedgie=4}}
'''Beta-tetracot''' is a temperament archetype where the generator is a supermajor third of about 424–426¢, four of which make a perfect eleventh of [[8/3]], and the period is a [[2/1]] octave. Beta-tetracot temperaments typically generate the [[3L 5s]], [[3L 8s]], and [[3L 11s]] MOS scales, and containing all [[Ploidacot/Dicot|dicot]] intervals.
'''Beta-tetracot''' is a temperament archetype where the generator is a supermajor third of about 424–426{{c}}, four of which make a perfect eleventh of [[8/3]], and the period is a [[2/1]] octave. Beta-tetracot temperaments typically generate the [[3L 5s]], [[3L 8s]], and [[3L 11s]] MOS scales, and containing all [[Ploidacot/Dicot|dicot]] intervals.


Beta-tetracot temperaments often generate [[3L 14s]] or [[14L 3s]] as children, and for particularly sharp tunings [[11L 3s]].
Beta-tetracot temperaments often generate [[3L 14s]] or [[14L 3s]] as children, and for particularly sharp tunings [[11L 3s]].


== Intervals and notation ==
== Intervals and notation ==
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== Temperament interpretations ==
== Temperament interpretations ==
An obvious interpretation for beta-tetracot is [[Squares|skwares]], where the generator is [[9/7]]~[[14/11]] and four of them make a perfect eleventh. Immediately it extends to full 11-limit squares (14c & 17c).
An obvious interpretation for beta-tetracot is [[Squares|skwares]], where the generator is {{nowrap|[[9/7]]~[[14/11]]}} and four of them make a perfect eleventh. Immediately it extends to full 11-limit squares ({{nowrap|14c & 17c}}) and [[Smate family|smate]] ({{nowrap|14 & 17c}}).


[[Category:Ploidacots|Beta-tetracot]]
[[Category:Ploidacots|Beta-tetracot]]