Ploidacot/Alpha-pentacot: Difference between revisions
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'''Alpha-pentacot''' is a temperament archetype where the generator is a submajor third of about 379–381¢, five of which make a perfect twelfth of [[3/1]] (third harmonic, also known as "tritave"), and the period is a [[2/1]] octave. Alpha-pentacot temperaments typically generate the [[3L 4s]], [[3L 7s]], [[3L 10s]], and [[3L 13s]] MOS scales, and either [[3L 16s]] (and thus [[19L 3s]]) or [[16L 3s]] as children. | '''Alpha-pentacot''' is a temperament archetype where the generator is a submajor third of about 379–381¢, five of which make a perfect twelfth of [[3/1]] (third harmonic, also known as "tritave"), and the period is a [[2/1]] octave. Alpha-pentacot temperaments typically generate the [[3L 4s]], [[3L 7s]], [[3L 10s]], and [[3L 13s]] MOS scales, and either [[3L 16s]] (and thus [[19L 3s]]) or [[16L 3s]] as children. | ||
== | == Intervals and notation == | ||
There is no agreed-upon notation for alpha-pentacot, and constructing one by extending Pythagorean notation is complicated due to the fact that it does not split the chromatic or diatonic semitone, but rather the minor third. Note and interval names are provided where alpha-pentacot intervals align with standard monocot intervals (which use [[chain-of-fifths notation]]). | There is no agreed-upon notation for alpha-pentacot, and constructing one by extending Pythagorean notation is complicated due to the fact that it does not split the chromatic or diatonic semitone, but rather the minor third. Note and interval names are provided where alpha-pentacot intervals align with standard monocot intervals (which use [[chain-of-fifths notation]]). | ||
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* ''[https://youtube.com/watch?v=5iBXKRWE-_U Magical life]'' (2023) by [[User:Xenllium|Xenllium]] – in 19-tone alpha-pentacot with pure fifths (also known as pure-fifth magic scale) | * ''[https://youtube.com/watch?v=5iBXKRWE-_U Magical life]'' (2023) by [[User:Xenllium|Xenllium]] – in 19-tone alpha-pentacot with pure fifths (also known as pure-fifth magic scale) | ||
[[Category:Ploidacots]] | [[Category:Ploidacots|Alpha-pentacot]] | ||