Orgone: Difference between revisions

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'''Orgone''' is the 2.7.11 [[subgroup temperament]] generated by a minor or supraminor third which can be identified by a tempered [[77/64]] such that two of them make a tempered [[16/11]] and three of them make a tempered [[7/4]]. While it is easy enough to equate the generator with [[6/5]] by tempering out [[385/384]], extending it to include [[3/2|perfect fifths]] is not so easy. If using a flatter generator, there is a fifth at the relatively high [[complexity]] of 9 generators down (see also [[superkleismic]]). Closer to optimal tuning for orgone, but even more complex at 17 generators up, there is [[hyperkleismic]].

A related temperament is [[No-threes subgroup temperaments#~~ultrakleismic~~|ultrakleismic]] in the 2.7.17 subgroup, in which the generator is instead identified with the simpler [[17/14]], by tempering out [[4913/4802]]. [[Orgonia#Ork|Ork]] temperament merges these two. These favor sharper generators so can be viewed even more as no-fifth systems.

A related temperament is [[No-threes subgroup temperaments#Ultrakleismic|ultrakleismic]] in the 2.7.17 subgroup, in which the generator is instead identified with the simpler [[17/14]], by tempering out [[4913/4802]]. [[Orgonia#Ork|Ork]] temperament merges these two. These favor sharper generators so can be viewed even more as no-fifth systems.

For technical data, see [[Orgonia #Orgone]].

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 '''Orgone''' is the 2.7.11 [[subgroup temperament]] generated by a minor or supraminor third which can be identified by a tempered [[77/64]] such that two of them make a tempered [[16/11]] and three of them make a tempered [[7/4]]. While it is easy enough to equate the generator with [[6/5]] by tempering out [[385/384]], extending it to include [[3/2|perfect fifths]] is not so easy. If using a flatter generator, there is a fifth at the relatively high [[complexity]] of 9 generators down (see also [[superkleismic]]). Closer to optimal tuning for orgone, but even more complex at 17 generators up, there is [[hyperkleismic]].
-A related temperament is [[No-threes subgroup temperaments#ultrakleismic|ultrakleismic]] in the 2.7.17 subgroup, in which the generator is instead identified with the simpler [[17/14]], by tempering out [[4913/4802]]. [[Orgonia#Ork|Ork]] temperament merges these two. These favor sharper generators so can be viewed even more as no-fifth systems.
+A related temperament is [[No-threes subgroup temperaments#Ultrakleismic|ultrakleismic]] in the 2.7.17 subgroup, in which the generator is instead identified with the simpler [[17/14]], by tempering out [[4913/4802]]. [[Orgonia#Ork|Ork]] temperament merges these two. These favor sharper generators so can be viewed even more as no-fifth systems.
 For technical data, see [[Orgonia #Orgone]].