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]]. | '''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# | 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]]. | For technical data, see [[Orgonia #Orgone]]. | ||
Revision as of 02:53, 15 October 2024
- This page is about the regular temperament. For the scale structure sometimes associated with it, see 4L 3s.
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 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 ultrakleismic in the 2.7.17 subgroup, in which the generator is instead identified with the simpler 17/14, by tempering out 4913/4802. 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.
Gallery
Music
- An Amputated Elliptic Knob of the Cryptocurve Regenerates (2019) – 14-piece album, all in orgone of various tunings
- Ghost Bridge (2020) – in 11edo tuning
- Sylvian Moon Dance (2021) (sheet music) – in 11edo tuning