Orgone - Revision history

Overthink: + interval chain

2026-01-11T03:14:16Z

+ interval chain

← Older revision		Revision as of 03:14, 11 January 2026
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	For technical data, see [[Orgonia #Orgone]].		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 ==

FloraC: - parent category

2025-04-28T14:30:12Z

- parent category

← Older revision		Revision as of 14:30, 28 April 2025
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	{{Todo\| expand }}		{{Todo\| expand }}
	[[Category:Orgone\| ]] <!-- main article -->		[[Category:Orgone\| ]] <!-- main article -->
	~~[[Category:Temperaments]]~~
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
			[[Category:Subgroup temperaments]]

Lériendil at 23:31, 19 April 2025

2025-04-19T23:31:55Z

← Older revision		Revision as of 23:31, 19 April 2025
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	[[Category:Orgone\| ]] <!-- main article -->		[[Category:Orgone\| ]] <!-- main article -->
	[[Category:Temperaments]]		[[Category:Temperaments]]
			[[Category:Rank-2 temperaments]]

Yourmusic Productions: Found yet another temperament that uses the orgone mappings for 7 & 11.

2024-10-19T13:11:52Z

Found yet another temperament that uses the orgone mappings for 7 & 11.

← Older revision		Revision as of 13:11, 19 October 2024
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	{{About\|the regular temperament\|the scale structure sometimes associated with it\|4L 3s}}		{{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]].		'''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.		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.

FloraC: /* Music */ copypaste from 11edo

2024-10-16T12:09:52Z

Music: copypaste from 11edo

← Older revision		Revision as of 12:09, 16 October 2024
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	; [[User:Ayceman\|Alexandru Ianu]]		; [[User:Ayceman\|Alexandru Ianu]]
	* [https://youtu.be/~~81uZbsmbet8~~ ''Sylvian Moon Dance''] (2021) ([[:File:Sylvian_Moon_Dance.pdf\|sheet music]]) – in 11edo tuning		* ''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}}		{{Todo\| expand }}
	[[Category:Orgone\| ]] <!-- main article -->		[[Category:Orgone\| ]] <!-- main article -->
	[[Category:Temperaments]]		[[Category:Temperaments]]

Lériendil at 02:53, 15 October 2024

2024-10-15T02:53:47Z

← Older revision		Revision as of 02:53, 15 October 2024
Line 3:		Line 3:
	'''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#~~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]].		For technical data, see [[Orgonia #Orgone]].

Yourmusic Productions: Include the other option for adding the 5-limit in.

2024-09-30T20:08:20Z

Include the other option for adding the 5-limit in.

← Older revision		Revision as of 20:08, 30 September 2024
Line 1:		Line 1:
	{{About\|the regular temperament\|the scale structure sometimes associated with it\|4L 3s}}		{{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]]. ~~The orgone temperament~~ is ~~notable for its lack of well-tuned~~ [[3/2\|perfect fifths]]~~, particularly for the sharper tunings of orgone temperament~~. If using a flatter generator, there is a fifth ~~but still~~ at the relatively high [[complexity]] of 9 generators down (see also [[superkleismic]]).		'''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.

FloraC: Cleanup

2024-09-27T10:10:28Z

Cleanup

← Older revision		Revision as of 10:10, 27 September 2024
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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]]. The orgone temperament is notable for its lack of well-tuned [[3/2\|perfect fifths]], particularly for the sharper tunings of orgone temperament. If using a flatter generator, there is a fifth but still at the relatively high [[complexity]] of 9 generators down (see also [[superkleismic]]).		'''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]]. The orgone temperament is notable for its lack of well-tuned [[3/2\|perfect fifths]], particularly for the sharper tunings of orgone temperament. If using a flatter generator, there is a fifth but still at the relatively high [[complexity]] of 9 generators down (see also [[superkleismic]]).

	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]].

	== Gallery ==		== Gallery ==
Line 17:		Line 17:
	[[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 ~~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)		* [https://youtu.be/81uZbsmbet8 ''Sylvian Moon Dance''] (2021) ([[:File:Sylvian_Moon_Dance.pdf\|sheet music]]) – in 11edo tuning
	* [[User:Ayceman\|Alexandru Ianu]], [https://youtu.be/81uZbsmbet8 Sylvian Moon Dance] (~~11edo~~) ([[:File:Sylvian_Moon_Dance.pdf\|sheet music]])

	{{todo\|expand}}		{{todo\|expand}}
	[[Category:Orgone]]		[[Category:Orgone\| ]] <!-- main article -->
	[[Category:Temperaments]]		[[Category:Temperaments]]

CompactStar at 18:15, 4 March 2024

2024-03-04T18:15:13Z

← Older revision		Revision as of 18:15, 4 March 2024
Line 3:		Line 3:
	''For smitonic MOS, see: [[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]]. The orgone temperament is notable for its lack of well-tuned [[3/2\|perfect fifths]], particularly for the sharper tunings of orgone temperament. If using a flatter generator, there is a fifth but still at the relatively high [[complexity]] of +9 generators (see also [[superkleismic]]).		'''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]]. The orgone temperament is notable for its lack of well-tuned [[3/2\|perfect fifths]], particularly for the sharper tunings of orgone temperament. If using a flatter generator, there is a fifth but still at the relatively high [[complexity]] of 9 generators down (see also [[superkleismic]]).

	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.

CompactStar at 04:27, 4 March 2024

2024-03-04T04:27:58Z

← Older revision		Revision as of 04:27, 4 March 2024
Line 3:		Line 3:
	''For smitonic MOS, see: [[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]]. The orgone temperament is notable for ~~it's~~ lack of well-tuned [[3/2\|perfect fifths]], particularly for the sharper tunings of orgone temperament. If using a flatter generator, there is a fifth but still at the relatively high [[complexity]] of +9 generators (see also [[superkleismic]]).		'''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]]. The orgone temperament is notable for its lack of well-tuned [[3/2\|perfect fifths]], particularly for the sharper tunings of orgone temperament. If using a flatter generator, there is a fifth but still at the relatively high [[complexity]] of +9 generators (see also [[superkleismic]]).

	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.

← Older revision		Revision as of 13:11, 19 October 2024
Line 1:		Line 1:
	{{About\|the regular temperament\|the scale structure sometimes associated with it\|4L 3s}}		{{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]].		'''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.		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.

← Older revision		Revision as of 12:09, 16 October 2024
Line 25:		Line 25:

	; [[User:Ayceman\|Alexandru Ianu]]		; [[User:Ayceman\|Alexandru Ianu]]
	* [https://youtu.be/~~81uZbsmbet8~~ ''Sylvian Moon Dance''] (2021) ([[:File:Sylvian_Moon_Dance.pdf\|sheet music]]) – in 11edo tuning		* ''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}}		{{Todo\| expand }}
	[[Category:Orgone\| ]] <!-- main article -->		[[Category:Orgone\| ]] <!-- main article -->
	[[Category:Temperaments]]		[[Category:Temperaments]]

← Older revision		Revision as of 20:08, 30 September 2024
Line 1:		Line 1:
	{{About\|the regular temperament\|the scale structure sometimes associated with it\|4L 3s}}		{{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]]. ~~The orgone temperament~~ is ~~notable for its lack of well-tuned~~ [[3/2\|perfect fifths]]~~, particularly for the sharper tunings of orgone temperament~~. If using a flatter generator, there is a fifth ~~but still~~ at the relatively high [[complexity]] of 9 generators down (see also [[superkleismic]]).		'''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.