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 | '''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) and [[Smate family|smate]] (14 & 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]] | ||