Orgone: Difference between revisions
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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 == | == Gallery == | ||
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[[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.]] | [[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 in | == 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]] | [[Category:Orgone| ]] <!-- main article --> | ||
[[Category: | [[Category:Rank-2 temperaments]] | ||
[[Category:Subgroup temperaments]] | |||