Orwell: Difference between revisions
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[[File:Orwell generator in 31.jpg|thumb|Martin Aurell's diagram showing Orwell[9] generated in 31 tone equal temperament.]] | [[File:Orwell generator in 31.jpg|thumb|Martin Aurell's diagram showing Orwell[9] generated in 31 tone equal temperament.]] | ||
'''Orwell''' | '''Orwell''' – so named because 19 steps of [[84edo]], i.e. 19\84, is a possible generator – is an excellent [[7-limit]] [[regular temperament|temperament]] and an amazing [[11-limit]] temperament because of the simplicity of [[harmonic]] [[11/1|11]]. | ||
In orwell, the [[3/1|just perfect twelfth (3/1)]] is divided into 7 equal steps. One of these steps represents [[7/6]]; three represent [[8/5]]. Alternately, the [[5/1|5th harmonic (5/1)]] divided into 3 equal steps also makes a good orwell generator, being [[~]][[12/7]]. | In orwell, the [[3/1|just perfect twelfth (3/1)]] is divided into 7 equal steps. One of these steps represents [[7/6]]; three represent [[8/5]]. Alternately, the [[5/1|5th harmonic (5/1)]] divided into 3 equal steps also makes a good orwell generator, being [[~]][[12/7]]. | ||
In the 11-limit, two generators are equated to [[11/8]] (meaning [[99/98]] is tempered out). This means that three stacked generators makes the [[orwell tetrad]] | In the 11-limit, two generators are equated to [[11/8]] (meaning [[99/98]] is tempered out). This means that three stacked generators makes the [[orwell tetrad]] 1–7/6–11/8–8/5, a chord in which every interval is a (tempered) 11-odd-limit consonance. Other such chords in orwell are the [[keenanismic chords]] and the [[swetismic chords]]. | ||
Compatible equal temperaments include [[22edo]], [[31edo]], [[53edo]], and [[84edo]]. Orwell is in better tune in lower limits than higher ones; the [[optimal patent val]] is [[296edo]] in the 5-limit, [[137edo]] in the 7-limit, and [[53edo]] in the 11-limit. It tempers out the semicomma in the 5-limit, and so belongs to the [[semicomma family]]. In the 7-limit it tempers out [[225/224]], [[1728/1715]], [[2430/2401]] and [[6144/6125]], and in the 11-limit, 99/98, [[121/120]], [[176/175]], [[385/384]] and [[540/539]]. By adding [[275/273]] to the list of commas it can be extended to the 13-limit as [[Semicomma family #Orwell|tridecimal orwell]], and by adding instead [[66/65]], [[Semicomma family #Winston|winston temperament]]. See [[Orwell extensions]] for details about 13-limit extensions. | Compatible equal temperaments include [[22edo]], [[31edo]], [[53edo]], and [[84edo]]. Orwell is in better tune in lower limits than higher ones; the [[optimal patent val]] is [[296edo]] in the 5-limit, [[137edo]] in the 7-limit, and [[53edo]] in the 11-limit. It tempers out the semicomma in the 5-limit, and so belongs to the [[semicomma family]]. In the 7-limit it tempers out [[225/224]], [[1728/1715]], [[2430/2401]] and [[6144/6125]], and in the 11-limit, 99/98, [[121/120]], [[176/175]], [[385/384]] and [[540/539]]. By adding [[275/273]] to the list of commas it can be extended to the 13-limit as [[Semicomma family #Orwell|tridecimal orwell]], and by adding instead [[66/65]], [[Semicomma family #Winston|winston temperament]]. See [[Orwell extensions]] for details about 13-limit extensions. | ||
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{| class="wikitable center-1 right-2" | {| class="wikitable center-1 right-2" | ||
|- | |- | ||
! | ! # | ||
! Cents* | ! Cents* | ||
! Approximate ratios | ! Approximate ratios | ||
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| 63/32 | | 63/32 | ||
|} | |} | ||
<nowiki />* In 11-limit CWE tuning | <nowiki/>* In 11-limit CWE tuning | ||
== Chords and harmony == | == Chords and harmony == | ||
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; 9-tone scales (sLsLsLsLs, proper) | ; 9-tone scales (sLsLsLsLs, proper) | ||
* [[Orwell9]] | * [[Orwell9]] – 84edo tuning | ||
* [[Orwell9-12]] | * [[Orwell9-12]] – 7-limit POTE tuning, mapped to 12-tones | ||
[[file:OrwellNonatonicPOTE.mp3]] in POTE tuning | [[file:OrwellNonatonicPOTE.mp3]] in POTE tuning | ||
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; 13-tone scales (LsLLsLLLsLLsL, improper) | ; 13-tone scales (LsLLsLLLsLLsL, improper) | ||
* [[Orwell13]] | * [[Orwell13]] – 84edo tuning | ||
* [[Orwellwoo13]] | * [[Orwellwoo13]] – [6 5/2] eigenmonzo (unchanged-interval) tuning | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
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; 22-tone scales | ; 22-tone scales | ||
* [[Orwell22]] | * [[Orwell22]] | ||
* [[Orwellwoo22]] | * [[Orwellwoo22]] – [6 5/2] eigenmonzo (unchanged-interval) tuning | ||
=== Transversal scales === | === Transversal scales === | ||
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=== Others === | === Others === | ||
* [[Orwell-graham]] | * [[Orwell-graham]] – 13-tone modmos in 53edo tuning | ||
* [[Orwell13-modmos-containing-minerva12]] | * [[Orwell13-modmos-containing-minerva12]] – 13-tone modmos in POTE tuning | ||
* [[Minerva12-orwell-tempered]] | * [[Minerva12-orwell-tempered]] – minerva[12] tempered to orwell | ||
== Tunings == | == Tunings == | ||
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| | | | ||
|} | |} | ||
<nowiki />* Besides the octave | <nowiki/>* Besides the octave | ||
== Non-octave settings == | == Non-octave settings == | ||
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| Countercata | | Countercata | ||
|} | |} | ||
<nowiki />* [[Weak extension]] (one or more generators from the parent temperament are split) | <nowiki/>* [[Weak extension]] (one or more generators from the parent temperament are split) | ||
== Music == | == Music == | ||
; [[Tarkan Grood]] | ; [[Tarkan Grood]] | ||
* ''Mountain Villiage'' (2013) | * ''Mountain Villiage'' (2013) – [https://web.archive.org/web/20201127012514/http://micro.soonlabel.com/gene_ward_smith/Others/Grood/Mountain_Village_TarkanGrood.mp3 play] | [https://soundcloud.com/tarkan-grood/mountain-village-tarkangrood SoundCloud] – Orwell[9] | ||
; [[Andrew Heathwaite]] | ; [[Andrew Heathwaite]] | ||
* ''[[Earwig]]'' (2012) | * ''[[Earwig]]'' (2012) – [https://web.archive.org/web/20201127015238/http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/earwig.mp3 play] – in 31edo tuning | ||
* [[Technical Notes for Newbeams #Elf Dine on Ho Ho|''Elf Dine on Ho Ho'']] (2012) | * [[Technical Notes for Newbeams #Elf Dine on Ho Ho|''Elf Dine on Ho Ho'']] (2012) – [https://web.archive.org/web/20201127015137/http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2004%20Hypnocloudsmack%201.mp3 play] – in 53edo tuning | ||
* [[Technical Notes for Newbeams #Spun|''Spun'']] (2012) | * [[Technical Notes for Newbeams #Spun|''Spun'']] (2012) – [https://web.archive.org/web/20201112021340/http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2008%20Spun.mp3 play] – Orwell[13] | ||
* [https://web.archive.org/web/20201127013436/http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/andrewheathwaite+onedropofrain.mp3 ''one drop of rain''] | * [https://web.archive.org/web/20201127013436/http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/andrewheathwaite+onedropofrain.mp3 ''one drop of rain''] | ||
* [https://web.archive.org/web/20201127014501/http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/andrewheathwaite+ivecomewithabucketofroses.mp3 ''i've come with a bucket of roses''] | * [https://web.archive.org/web/20201127014501/http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/andrewheathwaite+ivecomewithabucketofroses.mp3 ''i've come with a bucket of roses''] | ||
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; [[Peter Kosmorsky]] | ; [[Peter Kosmorsky]] | ||
* ''Tunicata and Fugue'' | * ''Tunicata and Fugue'' – [http://www.archive.org/details/TunicataAndFugue details] | [http://archive.org/download/TunicataAndFugue/TunicataAndFugueVer2.mp3 play] | ||
; [[Löis Lancaster]] ([[Roncevaux]]) | ; [[Löis Lancaster]] ([[Roncevaux]]) | ||
* ''Schizo Blue'' | * ''Schizo Blue'' – [https://web.archive.org/web/20201127012220/http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/Schizo_Blue__22_EDO_Orwell__first_mix_by_Roncevaux_on_SoundCloud___Hear_the_world_s_sounds.mp3 play] | [https://soundcloud.com/lois-lancaster/schizo-blue-22-edo-orwell SoundCloud]{{dead link}} | ||
* ''Sejaliscos'' (2013) | * ''Sejaliscos'' (2013) – [https://web.archive.org/web/20201127012431/http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/Sejaliscos_by_Roncevaux_on_SoundCloud___Hear_the_world_s_sounds.mp3 play] | [https://soundcloud.com/lois-lancaster/sejaliscos SoundCloud] – Orwell[9] in 22edo tuning | ||
; [[Claudi Meneghin]] | ; [[Claudi Meneghin]] | ||
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; [[Gene Ward Smith]] | ; [[Gene Ward Smith]] | ||
* ''Trio in Orwell'' | * ''Trio in Orwell'' – [http://www.archive.org/details/TrioInOrwell details] | [http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3 play] | ||
* [https://web.archive.org/web/20201112015404/http://micro.soonlabel.com/gene_ward_smith/transformers/swing-orwell9.mp3 ''Swing in Orwell-9''] | * [https://web.archive.org/web/20201112015404/http://micro.soonlabel.com/gene_ward_smith/transformers/swing-orwell9.mp3 ''Swing in Orwell-9''] | ||
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[[File:Orwell_22.png|alt=Orwell_22.png|1023x292px|Orwell_22.png]] | [[File:Orwell_22.png|alt=Orwell_22.png|1023x292px|Orwell_22.png]] | ||
[[File:orwell13_axis49.png|alt=orwell13_axis49.png|orwell13_axis49.png]] | [[File:orwell13_axis49.png|alt=orwell13_axis49.png|orwell13_axis49.png]] | ||