Ploidacot/Alpha-tetracot: Difference between revisions
Created page with "{{Breadcrumb}} {{Infobox ploidacot|Ploids=1|Shears=1|Cots=4|Pergen=[P8, P12/4]|Forms=33, 38, 43, 48, 53|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..." Tags: Mobile edit Mobile web edit |
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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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! Notation | ! Notation | ||
! Name | ! Name | ||
|- | |||
| −12 | |||
| 294.13 | |||
| Eb | |||
| minor third | |||
|- | |||
| −11 | |||
| 769.62 | |||
| vAb | |||
| | |||
|- | |||
| −10 | |||
| 45.11 | |||
| ^^C/vvDb | |||
| | |||
|- | |- | ||
| −9 | | −9 | ||
| Line 110: | Line 125: | ||
| vG | | vG | ||
| | | | ||
|- | |||
| 10 | |||
| 1154.89 | |||
| ^^B/vvC | |||
| | |||
|- | |||
| 11 | |||
| 430.38 | |||
| ^E | |||
| | |||
|- | |||
| 12 | |||
| 905.87 | |||
| A | |||
| major sixth | |||
|} | |} | ||
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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: | [[Category:Ploidacots|Alpha-tetracot]] | ||