Ploidacot: Difference between revisions
→Ploids: Change "must split" to "may split" to be consistent with 2nd sentence later about haploid temperaments. |
→Examples: explain how the ploidacots can be derived from an understanding of the temperament |
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== Examples == | == Examples == | ||
* [[Meantone]] and [[ | The ploidacots of most common temperaments can be intuitively derived from a basic understanding of its mapping. [[Meantone]] and [[helmholtz]] are monocot since they have a period of a whole octave and are generated by the perfect fifth. Dicot is dicot since it has a period of a whole octave and splits the perfect fifth in two. Semaphore has a period of a whole octave and splits the perfect twelfth in two. It requires one period to add to the fifth to make it a twelfth, and one is alpha. So it is alpha-dicot. | ||
* [[Mohajira]] and [[ | |||
For a more complex example, let us consider sensi and its weak extension bison. Sensi splits 6/1 in seven. It requires two periods to the fifth to reach 6/1, and two is beta. So it is beta-heptacot. Bison splits the period of sensi in two. As a result, it now requires four periods to the fifth to reach 6/1, and four is delta. So it is diploid delta-heptacot. | |||
Below is a list of ploidacots for common temperaments | |||
* [[Meantone]] and [[helmholtz]] are haploid monocot | |||
* [[Mohajira]] and [[dicot]] are dicot | |||
* [[Bug]] and [[semaphore]] are alpha-dicot | * [[Bug]] and [[semaphore]] are alpha-dicot | ||
* [[Shrutar]] is diploid alpha-dicot | * [[Shrutar]] is diploid alpha-dicot | ||
* [[Ennealimmal]] is enneaploid dicot | * [[Ennealimmal]] is enneaploid dicot | ||
* [[Hemiennealimmal]] is octodecaploid (18-ploid) dicot | * [[Hemiennealimmal]] is octodecaploid (18-ploid) dicot | ||
* [[Slendric]], [[ | * [[Slendric]], [[mothra]], and [[rodan]] are tricot | ||
* [[Tricot]] is alpha-tricot | * [[Tricot]] is alpha-tricot | ||
* [[Porcupine]] is beta-tricot | * [[Porcupine]] is beta-tricot | ||
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* [[Sensi]] is beta-heptacot | * [[Sensi]] is beta-heptacot | ||
* [[Vishnu]] is diploid epsilon-heptacot | * [[Vishnu]] is diploid epsilon-heptacot | ||
* [[ | * [[Octacot]] is octacot | ||
* [[ | * [[Würschmidt]] is beta-octacot | ||
* [[Valentine]] is enneacot | * [[Valentine]] is enneacot | ||
* [[ | * [[Sycamore]] is hendecacot | ||
* [[ | * [[Chromo]] is tridecacot | ||
* [[Pajara]] and [[ | * [[Pajara]] and [[injera]] are diploid | ||
* [[ | * [[Antitonic]] is diploid acot | ||
* [[Augene]] is triploid | * [[Augene]] is triploid | ||
* [[Diminished]] is tetraploid | * [[Diminished]] is tetraploid | ||
* [[Blackwood]] is pentaploid acot | * [[Blackwood]] is pentaploid acot | ||
* [[ | * [[Whitewood]] is heptaploid acot | ||
* [[Ennealimmal]] is enneaploid | * [[Ennealimmal]] is enneaploid | ||
* [[Compton]] is dodecaploid acot | * [[Compton]] is dodecaploid acot | ||