Ploidacot/Alpha-tetracot: Difference between revisions
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{{Infobox ploidacot|Ploids=1|Shears=1|Cots=4|Pergen=[P8, P12/4]|Forms= | {{Infobox ploidacot|Ploids=1|Shears=1|Cots=4|Pergen=[P8, P12/4]|Forms=13, 18, 23, 28, 33|Title=Alpha-tetracot|Wedgie=4}} | ||
'''Alpha-tetracot''' is a temperament archetype where the generator is a sub-fourth, four of which make a perfect twelfth of [[3/1]], and the period is a [[2/1]] octave. Alpha-tetracot temperaments typically generate the [[5L 3s]], [[5L 8s]], [[5L 13s]], and [[5L 18s]] MOS scales, and they split the diatonic semitone into four equal parts, creating "supermajor", "interseptal", and "subminor" intervals and containing all [[Ploidacot/Alpha-dicot|alpha-dicot]] intervals. | '''Alpha-tetracot''' is a temperament archetype where the generator is a sub-fourth, four of which make a perfect twelfth of [[3/1]], and the period is a [[2/1]] octave. Alpha-tetracot temperaments typically generate the [[5L 3s]], [[5L 8s]], [[5L 13s]], and [[5L 18s]] MOS scales, and they split the diatonic semitone into four equal parts, creating "supermajor", "interseptal", and "subminor" intervals and containing all [[Ploidacot/Alpha-dicot|alpha-dicot]] intervals. | ||
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An obvious interpretation for alpha-tetracot is [[Buzzard|buzzardsmic]], a 2.3.7 subgroup temperament, where the generator is [[21/16]] and four of them make a perfect twelfth. There are some extensions for full 7-limit: buzzard (53 & 58), subfourth (58 & 63), and lemongrass (63 & 68). | An obvious interpretation for alpha-tetracot is [[Buzzard|buzzardsmic]], a 2.3.7 subgroup temperament, where the generator is [[21/16]] and four of them make a perfect twelfth. There are some extensions for full 7-limit: buzzard (53 & 58), subfourth (58 & 63), and lemongrass (63 & 68). | ||
[[Category:Ploidacots]] | [[Category:Ploidacots|Alpha-tetracot]] | ||