User:CritDeathX/Sam's Musings: Difference between revisions
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== Trififth Temperament == | == Trififth Temperament == | ||
Trififth temperament is the name I've given to the 2.3.7-limit temperament with a generator of a flat [[8/7]] that tempers out 1029/1024. The simplest primes it can give are 7/4 down one generator and 3/2 up 3 generators, hence the name. Other primes are in the double digits, with 5 being 17 generators. | Trififth temperament is the name I've given to the 2.3.7-limit temperament with a generator of a flat [[8/7]] that tempers out 1029/1024. The simplest primes it can give are [[7/4]] down one generator and [[3/2]] up 3 generators, hence the name. Other primes are in the double digits, with 5 being 17 generators. | ||
This is the closest [http://www.microtonalsoftware.com/scale-tree.html?left=13&right=17&rr=1200&ioi=279.944474 scale tree] I could find for EDOs that support the generator, starting with [[5edo|5]] and [[16edo|16EDO]]. To my knowledge, there's no zigzag pattern for the generator. | This is the closest [http://www.microtonalsoftware.com/scale-tree.html?left=13&right=17&rr=1200&ioi=279.944474 scale tree] I could find for EDOs that support the generator, starting with [[5edo|5]] and [[16edo|16EDO]]. To my knowledge, there's no zigzag pattern for the generator. | ||
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|- | |- | ||
|16/9 -4c | |16/9 -4c | ||
|64/63 | |[[64/63]] | ||
|7/6 +6c | |7/6 +6c | ||
|4/3 | |[[4/3]] | ||
|32/21 | |[[32/21]] | ||
|7/4 +4c | |7/4 +4c | ||
|1/1 | |1/1 | ||
|8/7 -4c | |8/7 -4c | ||
|21/16 | |[[21/16]] | ||
|3/2 | |3/2 | ||
|12/7 -6c | |[[12/7]] -6c | ||
|63/32 | |63/32 | ||
|9/8 +4c | |9/8 +4c | ||