Ragismic microtemperaments: Difference between revisions
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=Amity= | =Amity= | ||
The generator for amity temperament is the acute minor third, which means an ordinary 6/5 minor third raised by an 81/80 comma to 243/200, and from this it derives its name. Aside from the ragisma it tempers out the 5-limit amity comma, 1600000/1594323, 5120/5103 and 6144/6125. It can also be described as the 46&53 temperament, or by its wedgie, <<5 13 -17 9 -41 -76||. [[99edo]] is a good tuning for amity, with generator 28/99, and MOS of 11, 18, 25, 32, 46 or 53 notes are available. If you are looking for a different kind of neutral third this could be the temperament for you. | The generator for [[amity]] temperament is the acute minor third, which means an ordinary 6/5 minor third raised by an 81/80 comma to 243/200, and from this it derives its name. Aside from the ragisma it tempers out the 5-limit amity comma, 1600000/1594323, 5120/5103 and 6144/6125. It can also be described as the 46&53 temperament, or by its wedgie, <<5 13 -17 9 -41 -76||. [[99edo]] is a good tuning for amity, with generator 28/99, and MOS of 11, 18, 25, 32, 46 or 53 notes are available. If you are looking for a different kind of neutral third this could be the temperament for you. | ||
In the 5-limit amity is a genuine microtemperament, with 58/205 being a possible tuning. Another good choice is (64/5)^(1/13), which gives pure major thirds. | In the 5-limit amity is a genuine microtemperament, with 58/205 being a possible tuning. Another good choice is (64/5)^(1/13), which gives pure major thirds. | ||
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Badness: 0.0280 | Badness: 0.0280 | ||
==Hitchcock== | ==Hitchcock== | ||
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==Hemiamity== | ==Hemiamity== | ||
Commas: 4375/4374, 5120/5103 | Commas: 3025/3024, 4375/4374, 5120/5103 | ||
POTE generator: ~ 243/200 = 339.493 | POTE generator: ~243/200 = 339.493 | ||
Map: [<2 1 -1 13 13|, <0 5 13 -17 -14|] | Map: [<2 1 -1 13 13|, <0 5 13 -17 -14|] | ||
EDOs: | EDOs: 14cde, 46, 106, 152, 198, 350 | ||
Badness: 0.0313 | |||
=Parakleismic= | =Parakleismic= | ||