Ploidacot/Beta-hexacot: Difference between revisions
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{{Infobox ploidacot|Ploids=1|Shears=2|Cots=6|Pergen=[P8, ccP5/6]|Forms=16, 23, 30, 37|Title=Beta-hexacot|Wedgie=6}} | {{Infobox ploidacot|Ploids=1|Shears=2|Cots=6|Pergen=[P8, ccP5/6]|Forms=16, 23, 30, 37|Title=Beta-hexacot|Wedgie=6}} | ||
'''Beta-hexacot''' is a temperament archetype where the generator is an acute fourth of about | '''Beta-hexacot''' is a temperament archetype where the generator is an acute fourth of about 516–518{{c}}, six of which make [[6/1]] (sixth harmonic, two octaves above a perfect fifth), and the period is a [[2/1]] octave. Beta-hexacot temperaments also include all [[Ploidacot/Dicot|dicot]] and [[Ploidacot/Omega-tricot|omega-tricot]] intervals. Beta-hexacot temperaments typically generate the [[7L 2s]], [[7L 9s]], and [[7L 16s]] MOS scales. | ||
== Intervals and notation == | == Intervals and notation == | ||
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== Temperament interpretations == | == Temperament interpretations == | ||
An obvious interpretation for beta-hexacot is [[gravity]], where the generator is [[27/20]], two of which make [[20/11]], three make [[11/9]]~[[27/22]] above an octave, and six make a perfect fifth above two octaves. There are some extensions for the full 11-limit: marvo (65d & 72), zarvo (65 & 72), and gravid (58 & 65). | An obvious interpretation for beta-hexacot is [[gravity]], where the generator is [[27/20]], two of which make [[20/11]], three make {{nowrap|[[11/9]]~[[27/22]]}} above an octave, and six make a perfect fifth above two octaves. There are some extensions for the full 11-limit: marvo ({{nowrap|65d & 72}}), zarvo ({{nowrap|65 & 72}}), and gravid ({{nowrap|58 & 65}}). | ||