Orgone: Difference between revisions

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~~''For technical data, see: [[Orgonia#Orgone]]''~~

{{About|the regular temperament|the scale structure sometimes associated with it|4L 3s}}

''~~For smitonic MOS~~, 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 [[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]].

~~'''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~~]].

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]]~~. [[~~Subgroup temperaments#ork|Ork~~]] ~~temperament merges these two.~~

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 ==

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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.]]

== Music in ~~Orgone =~~=

== 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

* [[~~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"~~] (~~Various orgone edos~~)

; [[User:Ayceman|Alexandru Ianu]]

* [[~~User~~:~~Ks26~~|~~ks26~~]], [https://~~www~~.~~youtube.com~~/~~watch?v=AEnEYk3X1as Ghost Bridge~~] (11edo)

* ''Divertimento in 11 tone Orgone'' (2021) – [[:File:Divertimento in 11 tone Orgone.pdf|sheet music]] | [https://youtu.be/8x1f5WFkF4k YouTube] – in 11edo tuning

* [[~~User~~:~~Ayceman~~|~~Alexandru Ianu~~]], [https://youtu.be/~~81uZbsmbet8 Sylvian Moon Dance~~] (~~11edo~~) ([[:File:~~Sylvian_Moon_Dance~~.pdf|sheet music]])

* ''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]]

[[Category:Orgone]]

[[Category:Orgone| ]]

[[Category:~~Temperaments~~]]

[[Category:Rank-2 temperaments]]

[[Category:Subgroup temperaments]]

@@ Line 1: / Line 1: @@
-''For technical data, see: [[Orgonia#Orgone]]''
+{{About|the regular temperament|the scale structure sometimes associated with it|4L 3s}}
-''For smitonic MOS, 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 [[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]].
-'''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]].
+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]]. [[Subgroup temperaments#ork|Ork]] temperament merges these two.
+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 ==
@@ Line 17: / Line 59: @@
 [[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 Orgone ==
+== 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
-* [[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"] (Various orgone edos)
+; [[User:Ayceman|Alexandru Ianu]]
-* [[User:Ks26|ks26]], [https://www.youtube.com/watch?v=AEnEYk3X1as Ghost Bridge] (11edo)
+* ''Divertimento in 11 tone Orgone'' (2021) – [[:File:Divertimento in 11 tone Orgone.pdf|sheet music]] | [https://youtu.be/8x1f5WFkF4k YouTube] – in 11edo tuning
-* [[User:Ayceman|Alexandru Ianu]], [https://youtu.be/81uZbsmbet8 Sylvian Moon Dance] (11edo) ([[:File:Sylvian_Moon_Dance.pdf|sheet music]])
+* ''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}}
+{{Todo| expand }}
-[[Category:Orgone]]
+[[Category:Orgone| ]] <!-- main article -->
-[[Category:Temperaments]]
+[[Category:Rank-2 temperaments]]
+[[Category:Subgroup temperaments]]