Ploidacot/Tetracot: Difference between revisions
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{{Infobox ploidacot|Ploids=1|Shears=0|Cots=4|Pergen=[P8, P5/4]|Forms=6, 7, 13|Title=Tetracot|Wedgie=4}} | {{Infobox ploidacot|Ploids=1|Shears=0|Cots=4|Pergen=[P8, P5/4]|Forms=6, 7, 13, 20|Title=Tetracot|Wedgie=4}} | ||
'''Tetracot''' is a temperament archetype where the generator is a submajor second, four of which make a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Tetracot temperaments typically generate the [[1L 5s]] and [[6L 1s]] MOS scales, and they split the chromatic semitone into four equal parts, creating "supraminor", "neutral", and "submajor" intervals and containing all [[Ploidacot/Dicot|dicot]] intervals. | '''Tetracot''' is a temperament archetype where the generator is a submajor second, four of which make a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Tetracot temperaments typically generate the [[1L 5s]] and [[6L 1s]] MOS scales, and they split the chromatic semitone into four equal parts, creating "supraminor", "neutral", and "submajor" intervals and containing all [[Ploidacot/Dicot|dicot]] intervals. | ||
Tetracot temperaments often generate 7L 6s and 7L 13s as chromatic scales, and for particularly sharp tunings 13L 7s. More info may be found at [[Ploidacot/Tetracot/Generator tunings]]. | Tetracot temperaments often generate [[7L 6s]] and [[7L 13s]] as chromatic scales, and for particularly sharp tunings [[13L 7s]]. More info may be found at [[Ploidacot/Tetracot/Generator tunings]]. | ||
== Intervals and notation == | == Intervals and notation == | ||
| Line 27: | Line 27: | ||
|- | |- | ||
| −7 | | −7 | ||
| | | 1171.58 | ||
| vC | | vC | ||
| suboctave | | suboctave | ||
| Line 42: | Line 42: | ||
|- | |- | ||
| −4 | | −4 | ||
| 498. | | 498.04 | ||
| F | | F | ||
| perfect fourth | | perfect fourth | ||
| Line 57: | Line 57: | ||
|- | |- | ||
| −1 | | −1 | ||
| | | 1024.51 | ||
| ^Bb | | ^Bb | ||
| supraminor seventh | | supraminor seventh | ||
| Line 92: | Line 92: | ||
|- | |- | ||
| 6 | | 6 | ||
| | | 1052.93 | ||
| Bd | | Bd | ||
| neutral seventh | | neutral seventh | ||
| Line 120: | Line 120: | ||
==== Monkey ==== | ==== Monkey ==== | ||
Usually framed as an extension of tetracot due to the availability of tetracot's 5-limit mapping, monkey maps 7/4 to 15 steps down, the subminor seventh. In monkey, the 7-step diesis represents both [[64/63]] and [[81/80]]. | Usually framed as an extension of tetracot due to the availability of tetracot's 5-limit mapping, monkey maps 7/4 to 15 steps down, the subminor seventh. In monkey, the 7-step diesis represents both [[64/63]] and [[81/80]]. | ||
[[Category:Ploidacot]] | |||