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{{About|the regular temperament|the scale structure sometimes associated with it|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 [[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]]. These two merge at [[26edo]]. Extremely accurate, but more complex still is [[Ragismic_microtemperaments#Senator|senator]]. | |||
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]]. | |||
== Interval chain == | |||
In the following table, odd harmonics and subharmonics 1–11 are in '''bold'''. | |||
{| class="wikitable right-1 right-2" | |||
|- | |||
! # | |||
! Cents* | |||
! Approximate ratios | |||
|- | |||
| 0 | |||
| 0.0 | |||
| '''1/1''' | |||
|- | |||
| 1 | |||
| 323.3 | |||
| 77/64 | |||
|- | |||
| 2 | |||
| 646.7 | |||
| '''16/11''' | |||
|- | |||
| 3 | |||
| 970.0 | |||
| '''7/4''' | |||
|- | |||
| 4 | |||
| 93.4 | |||
| 128/121 | |||
|- | |||
| 5 | |||
| 416.7 | |||
| 14/11 | |||
|- | |||
| 6 | |||
| 740.1 | |||
| 49/32 | |||
|- | |||
| 7 | |||
| 1063.4 | |||
| 224/121 | |||
|} | |||
<nowiki/>* in 2.7.11-subgroup [[CWE]] tuning, octave reduced | |||
== Gallery == | |||
[[File:orgone_heptatonic.jpg|alt=orgone_heptatonic.jpg|orgone_heptatonic.jpg]] | [[File:orgone_heptatonic.jpg|alt=orgone_heptatonic.jpg|orgone_heptatonic.jpg]] | ||
| Line 5: | Line 57: | ||
[[File:orgone11_lattice.png|alt=orgone11_lattice.png|orgone11_lattice.png]] | [[File:orgone11_lattice.png|alt=orgone11_lattice.png|orgone11_lattice.png]] | ||
[[File:11EDO_cheat_sheet.png|560px|thumb|none|11EDO Orgone [[smitonic]] cheat sheet using modified diatonic notation (G#=A, Ab=G), and smitonic interval names.]] | |||
== Music == | |||
; [[City of the Asleep]] | |||
* [https://cityoftheasleep.bandcamp.com/album/an-amputated-elliptic-knob-of-the-cryptocurve-regenerates ''An Amputated Elliptic Knob of the Cryptocurve Regenerates''] (2019) – 14-piece album, all in orgone of various tunings | |||
= | ; [[groundfault]] | ||
* [https://www.youtube.com/watch?v=AEnEYk3X1as ''Ghost Bridge''] (2020) – in 11edo tuning | |||
* [[ | ; [[User:Ayceman|Alexandru Ianu]] | ||
* ''Divertimento in 11 tone Orgone'' (2021) – [[:File:Divertimento in 11 tone Orgone.pdf|sheet music]] | [https://youtu.be/8x1f5WFkF4k YouTube] – in 11edo tuning | |||
* [[ | * ''Sylvian Moon Dance'' (2021) – [[:File:SylvianMoonDance.ogg|audio]] | [[:File:Sylvian_Moon_Dance.pdf|sheet music]] | [https://youtu.be/81uZbsmbet8 YouTube] – in 11edo tuning | ||
* ''Ocean of the Necrophages'' (2021) – in 11edo tuning | |||
** Piano: [[:File:Ocean of the Necrophages (4U UP).ogg|audio]] | [[:File:Ocean of the Necrophages.pdf|sheet music]] | [https://youtu.be/CWU09fXXy1s YouTube] | |||
** Strings: [[:File:Ocean of the Necrophages (strings).ogg|audio]] | [[:File:Ocean of the Necrophages (strings).pdf|sheet music]] | |||
{{ | {{Todo| expand }} | ||
[[Category:Orgone| ]] <!-- main article --> | |||
[[Category:Rank-2 temperaments]] | |||
[[Category:Subgroup temperaments]] | |||
Latest revision as of 03:14, 11 January 2026
- 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. These two merge at 26edo. Extremely accurate, but more complex still is senator.
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.
Interval chain
In the following table, odd harmonics and subharmonics 1–11 are in bold.
| # | Cents* | Approximate ratios |
|---|---|---|
| 0 | 0.0 | 1/1 |
| 1 | 323.3 | 77/64 |
| 2 | 646.7 | 16/11 |
| 3 | 970.0 | 7/4 |
| 4 | 93.4 | 128/121 |
| 5 | 416.7 | 14/11 |
| 6 | 740.1 | 49/32 |
| 7 | 1063.4 | 224/121 |
* in 2.7.11-subgroup CWE tuning, octave reduced
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
- Divertimento in 11 tone Orgone (2021) – sheet music | YouTube – in 11edo tuning
- Sylvian Moon Dance (2021) – audio | sheet music | YouTube – in 11edo tuning
- Ocean of the Necrophages (2021) – in 11edo tuning
- Piano: audio | sheet music | YouTube
- Strings: audio | sheet music