Xenharmonic Wiki

Orwell: Difference between revisions

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== Interval chain ==
== Interval chain ==
Prime harmonics and their inverses are in bold.
Prime harmonics and their inverses are in bold.
{| class="wikitable"
{| class="wikitable center-1 right-2"
|-
|-
! | Generators
! #
! | Cents*
! Cents*
! | 11-limit ratios
! 11-limit Ratios<br>(Orwell Mapping)
 
! 13-limit Extension<br>(Orwell Mapping)
(orwell mapping)
! 13-limit Extension<br>(Winston Mapping)
! | 13-limit ratios
! 13-limit Extension<br>(Blair Mapping)
 
(orwell mapping)
! | 13-limit ratios
 
(winston mapping)
! | 13-limit ratios
 
(blair mapping)
|-
|-
| | 0
| 0
| style="text-align:right;" | 0.00
| 0.00
| | 1/1
| 1/1
| |
|  
| |
|  
| |
|  
|-
|-
| | 1
| 1
| style="text-align:right;" | 271.43
| 271.43
| | 7/6
| 7/6
| |
|  
| |
|  
| | 13/11, 15/13
| 13/11, 15/13
|-
|-
| | 2
| 2
| style="text-align:right;" | 542.85
| 542.85
| | '''11/8''', 15/11
| '''11/8''', 15/11
| |
|  
| | 18/13
| 18/13
| | 35/26, 39/28
| 35/26, 39/28
|-
|-
| | 3
| 3
| style="text-align:right;" | 814.28
| 814.28
| | '''8/5'''
| '''8/5'''
| |
|  
| | 21/13, 52/33
| 21/13, 52/33
| | '''13/8'''
| '''13/8'''
|-
|-
| | 4
| 4
| style="text-align:right;" | 1085.71
| 1085.71
| | 15/8, 28/15
| 15/8, 28/15
| |
|  
| | 13/7
| 13/7
| | 24/13
| 24/13
|-
|-
| | 5
| 5
| style="text-align:right;" | 157.13
| 157.13
| | 12/11, 11/10, 35/32
| 12/11, 11/10, 35/32
| |
|  
| | 13/12
| 13/12
| | 14/13
| 14/13
|-
|-
| | 6
| 6
| style="text-align:right;" | 428.56
| 428.56
| | 14/11, 9/7, 32/25
| 14/11, 9/7, 32/25
| |
|  
| |
|  
| | 13/10, 33/26
| 13/10, 33/26
|-
|-
| | 7
| 7
| style="text-align:right;" | 699.98
| 699.98
| | '''3/2'''
| '''3/2'''
| |
|  
| | 52/35
| 52/35
| |
|  
|-
|-
| | 8
| 8
| style="text-align:right;" | 971.41
| 971.41
| | '''7/4'''
| '''7/4'''
| |
|  
| | 26/15
| 26/15
| |
|  
|-
|-
| | 9
| 9
| style="text-align:right;" | 42.84
| 42.84
| | 49/48, 36/35, 33/32
| 49/48, 36/35, 33/32
| | 40/39
| 40/39
| | 27/26
| 27/26
| | 26/25
| 26/25
|-
|-
| | 10
| 10
| style="text-align:right;" | 314.26
| 314.26
| | 6/5
| 6/5
| |
|  
| | 13/11
| 13/11
| | 39/32
| 39/32
|-
|-
| | 11
| 11
| style="text-align:right;" | 585.69
| 585.69
| | 7/5
| 7/5
| |
|  
| | 39/28
| 39/28
| | 18/13
| 18/13
|-
|-
| | 12
| 12
| style="text-align:right;" | 857.12
| 857.12
| | 18/11
| 18/11
| | 64/39
| 64/39
| | '''13/8'''
| '''13/8'''
| | 21/13
| 21/13
|-
|-
| | 13
| 13
| style="text-align:right;" | 1128.54
| 1128.54
| | 21/11, 27/14, 48/25
| 21/11, 27/14, 48/25
| | 25/13
| 25/13
| |
|  
| | 39/20
| 39/20
|-
|-
| | 14
| 14
| style="text-align:right;" | 199.97
| 199.97
| | 9/8, 28/25
| 9/8, 28/25
| |
|  
| |
|  
| |
|  
|-
|-
| | 15
| 15
| style="text-align:right;" | 471.40
| 471.40
| | 21/16
| 21/16
| |
|  
| | 13/10
| 13/10
| |
|  
|-
|-
| | 16
| 16
| style="text-align:right;" | 742.82
| 742.82
| | 49/32, 54/35
| 49/32, 54/35
| | 20/13
| 20/13
| |
|  
| |
|  
|-
|-
| | 17
| 17
| style="text-align:right;" | 1014.25
| 1014.25
| | 9/5
| 9/5
| |
|  
| |
|  
| |
|  
|-
|-
| | 18
| 18
| style="text-align:right;" | 85.67
| 85.67
| | 21/20
| 21/20
| |
|  
| | 26/25
| 26/25
| | 27/26
| 27/26
|-
|-
| | 19
| 19
| style="text-align:right;" | 357.10
| 357.10
| | 27/22, 49/40
| 27/22, 49/40
| | '''16/13'''
| '''16/13'''
| | 39/32
| 39/32
| |
|  
|-
|-
| | 20
| 20
| style="text-align:right;" | 628.52
| 628.52
| | 36/25
| 36/25
| | 56/39
| 56/39
| |
|  
| |
|  
|-
|-
| | 21
| 21
| style="text-align:right;" | 899.95
| 899.95
| | 27/16, 42/25
| 27/16, 42/25
| | 22/13
| 22/13
| |
|  
| |
|  
|-
|-
| | 22
| 22
| style="text-align:right;" | 1171.38
| 1171.38
| | 63/32
| 63/32
| |
|  
| | 39/20
| 39/20
| |
|  
|}
|}
*in 11-limit POTE tuning
<nowiki>*</nowiki> in 11-limit POTE tuning


== Spectrum of orwell tunings by eigenmonzos ==
== Spectrum of orwell tunings by eigenmonzos ==


{| class="wikitable"
{| class="wikitable center-1 center-2"
|-
|-
! | Eigenmonzo
! Eigenmonzo
! | Subminor Third
! Subminor Third
! Comments
|-
|-
| | 7/6
| 7/6
| | 266.871
| 266.871
|
|-
|-
| | 14/11
| 14/11
| | 269.585
| 269.585
|
|-
|-
| | 12/11
| 12/11
| | 270.127
| 270.127
|
|-
|-
| | 11/9
| 11/9
| | 271.049
| 271.049
|
|-
|-
| | 8/7
| 8/7
| | 271.103
| 271.103
|
|-
|-
| | 7/5
| 7/5
| | 271.137 (7 and 11 limit minimx)
| 271.137
| 7- and 11-odd-limit minimx
|-
|-
| | 5/4
| 5/4
| | 271.229
| 271.229
|
|-
|-
| | 6/5
| 6/5
| | 271.564 (5 limit minimax)
| 271.564
| 5-odd-limit minimax
|-
|-
| | 10/9
| 10/9
| | 271.623 (9 limit minimax)
| 271.623
| 9-odd-limit minimax
|-
|-
| | 4/3
| 4/3
| | 271.708
| 271.708
|
|-
|-
| | 9/7
| 9/7
| | 272.514
| 272.514
|
|-
|-
| | 11/10
| 11/10
| | 273.001
| 273.001
|-
|-
| | 11/8
| 11/8
| | 275.659
| 275.659
|
|}
|}
[6 5/2] eigenmonzos: [[orwellwoo13|orwellwoo13]] [[orwellwoo22|orwellwoo22]]


== Chords ==
== Chords ==
Line 252: Line 256:


== Scales ==
== Scales ==
; [6 5/2] eigenmonzo tuning
* [[orwellwoo13]]
* [[orwellwoo22]]


; Transversals scales
; Transversals scales
Line 268: Line 275:
[[file:OrwellNonatonic53edo.mp3]] in 53edo
[[file:OrwellNonatonic53edo.mp3]] in 53edo


{| class="wikitable"
{| class="wikitable center-all"
|-
|-
| | Small ("minor") interval
| Small ("minor") interval
| | 114.29
| 114.29
| | 228.59
| 228.59
| | 385.72
| 385.72
| | 500.02
| 500.02
| | 657.15
| 657.15
| | 771.44
| 771.44
| | 928.57
| 928.57
| | 1042.87
| 1042.87
|-
|-
| | JI intervals represented
| JI intervals represented
| | 15/14~16/15
| 15/14~16/15
| | 8/7
| 8/7
| | 5/4
| 5/4
| | 4/3
| 4/3
| | 16/11
| 16/11
| | 14/9~11/7
| 14/9~11/7
| | 12/7
| 12/7
| | 11/6
| 11/6
|-
|-
| | Large ("major") interval
| Large ("major") interval
| | 157.13
| 157.13
| | 271.43
| 271.43
| | 428.56
| 428.56
| | 542.85
| 542.85
| | 699.98
| 699.98
| | 814.28
| 814.28
| | 971.41
| 971.41
| | 1085.71
| 1085.71
|-
|-
| | JI intervals represented
| JI intervals represented
| | 12/11~11/10
| 12/11~11/10
| | 7/6
| 7/6
| | 14/11~9/7
| 14/11~9/7
| | 11/8
| 11/8
| | 3/2
| 3/2
| | 8/5
| 8/5
| | 7/4
| 7/4
| | 15/8
| 15/8
|}
|}


=== 13-note (LLLsLLsLLsLLs, improper) ===
=== 13-note (LLLsLLsLLsLLs, improper) ===


{| class="wikitable"
{| class="wikitable center-all"
|-
|-
| | Small ("minor") interval
| Small ("minor") interval
| | 42.84
| 42.84
| | 157.13
| 157.13
| | 271.43
| 271.43
| | 314.26
| 314.26
| | 428.56
| 428.56
| | 542.85
| 542.85
| | 585.69
| 585.69
| | 699.98
| 699.98
| | 814.28
| 814.28
| | 857
| 857
| | 971.41
| 971.41
| | 1085.71
| 1085.71
|-
|-
| | JI intervals represented
| JI intervals represented
| |
|  
| | 12/11~11/10
| 12/11~11/10
| | 7/6
| 7/6
| | 6/5
| 6/5
| | 14/11~9/7
| 14/11~9/7
| | 11/8
| 11/8
| | 7/5
| 7/5
| | 3/2
| 3/2
| | 8/5
| 8/5
| | 18/11
| 18/11
| | 7/4
| 7/4
| | 15/8
| 15/8
|-
|-
| | Large ("major") interval
| Large ("major") interval
| | 114.29
| 114.29
| | 228.59
| 228.59
| | 342.88
| 342.88
| | 385.72
| 385.72
| | 500.02
| 500.02
| | 614.31
| 614.31
| | 657.15
| 657.15
| | 771.44
| 771.44
| | 885.74
| 885.74
| | 928.57
| 928.57
| | 1042.87
| 1042.87
| | 1157.16
| 1157.16
|-
|-
| | JI intervals represented
| JI intervals represented
| | 15/14~16/15
| 15/14~16/15
| | 8/7
| 8/7
| | 11/9
| 11/9
| | 5/4
| 5/4
| | 4/3
| 4/3
| | 10/7
| 10/7
| | 16/11
| 16/11
| | 14/9~11/7
| 14/9~11/7
| | 5/3
| 5/3
| | 12/7
| 12/7
| | 11/6
| 11/6
| |
|  
|}
|}


Line 378: Line 385:
|-
|-
! colspan="2" | Planar temperament
! colspan="2" | Planar temperament
! colspan="4" | Among others, planar temperament is also supported by...
! colspan="4" | Among others, planar temperament is also supported by…
|-
|-
! | 7-limit
! 7-limit
! | 11-limit
! 11-limit<br>Extension
 
! 9tet
extension
! 22tet
! | 9tet
! 31tet
! | 22tet
! 53tet
! | 31tet
! | 53tet
|-
|-
| | [[Marvel_family|marvel]]
| [[Marvel family|marvel]]
| |
|  
| | negri, septimin, august,
| negri, septimin, august,<br>amavil, enneaportent
 
| magic, pajara, wizard, porky
amavil, enneaportent
| meantone, miracle, tritonic,<br>slender, würschmidt
| | magic, pajara, wizard, porky
| garibaldi, catakleismic
| | meantone, miracle, tritonic,
 
slender, würschmidt
| | garibaldi, catakleismic
|-
|-
| |
|  
| | marvel
| marvel
| | negri, septimin, enneaportent
| negri, septimin, enneaportent
| | magic, pajarous, wizard
| magic, pajarous, wizard
| | meanpop, miracle, tritoni, slender
| meanpop, miracle, tritoni, slender
| | garibaldi, catakleismic
| garibaldi, catakleismic
|-
|-
| |
|  
| | minerva
| minerva
| | negric, august, amavil
| negric, august, amavil
| | telepathy, pajara
| telepathy, pajara
| | meantone, revelation, würschmidt
| meantone, revelation, würschmidt
| | cataclysmic
| cataclysmic
|-
|-
| |
|  
| | artemis*
| artemis*
| | wilsec
| wilsec
| | divination, hemipaj, porky
| divination, hemipaj, porky
| | migration, oracle, tritonic
| migration, oracle, tritonic
| |
|  
|-
|-
| | [[Porwell_family|hewuermity]]
| [[Porwell family|hewuermity]]
| |
|  
| | triforce, armodue,
| triforce, armodue,<br>twothirdtonic
 
| porcupine, astrology, shrutar,<br>hendecatonic, septisuperfourth
twothirdtonic
| hemiwürschmidt, valentine,<br>mohajira, grendel
| | porcupine, astrology, shrutar,
| amity, hemischis,<br>hemikleismic
 
hendecatonic, septisuperfourth
| | hemiwürschmidt, valentine,
 
mohajira, grendel
| | amity, hemischis,
 
hemikleismic
|-
|-
| |
|  
| | zeus
| zeus
| | triforce, armodue,
| triforce, armodue,<br>twothirdtonic
 
| porcupine, astrology, shrutar,<br>hendecatonic
twothirdtonic
| hemiwur, valentine, mohajira
| | porcupine, astrology, shrutar,
| hitchcock,<br>hemikleismic
 
hendecatonic
| | hemiwur, valentine, mohajira
| | hitchcock,
 
hemikleismic
|-
|-
| |
|  
| | jupiter
| jupiter
| |
|  
| | septisuperfourth
| septisuperfourth
| | hemiwürschmidt, grendel
| hemiwürschmidt, grendel
| | amity, hemischis
| amity, hemischis
|-
|-
| | [[Orwellismic_family|orwellian]]
| [[Orwellismic family|orwellian]]
| |
|  
| | beep, secund, infraorwell,
| beep, secund, infraorwell,<br>niner
 
| superpyth, doublewide,<br>echidna
niner
| myna, mothra, sentinel,<br>semisept
| | superpyth, doublewide,
| quartonic, buzzard
 
echidna
| | myna, mothra, sentinel,
 
semisept
| | quartonic, buzzard
|-
|-
| |
|  
| | orwellian
| orwellian
| | pentoid, secund
| pentoid, secund
| | suprapyth, doublewide
| suprapyth, doublewide
| | myno, mothra, sentinel
| myno, mothra, sentinel
| |
|  
|-
|-
| |
|  
| | guanyin
| guanyin
| | infraorwell, niner
| infraorwell, niner
| | superpyth, fleetwood, echidna
| superpyth, fleetwood, echidna
| | myna, mosura, semisept
| myna, mosura, semisept
| | quartonic, buzzard
| quartonic, buzzard
|-
|-
| | [[Nuwell_family|nuwell]]
| [[Nuwell family|nuwell]]
| |
|  
| | progression, superpelog
| progression, superpelog
| | quasisuper, hedgehog
| quasisuper, hedgehog
| | squares, nusecond
| squares, nusecond
| | tricot, hamity
| tricot, hamity
|-
|-
| |
|  
| | big brother
| big brother
| | progression, superpelog
| progression, superpelog
| | quasisupra, hedgehog
| quasisupra, hedgehog
| | squares, nusecond
| squares, nusecond
| | tricot, hamity
| tricot, hamity
|-
|-
| | [[Horwell_family|horwell]]
| [[Horwell family|horwell]]
| |
|  
| |
|  
| | bisupermajor, escaped,
| bisupermajor, escaped,<br>fifthplus
 
| hemithirds, worschmidt,<br>tertiaseptal
fifthplus
| countercata, pontiac
| | hemithirds, worschmidt,
 
tertiaseptal
| | countercata, pontiac
|-
|-
| |
|  
| | zelda
| zelda
| |
|  
| | bisupermajor, sensa
| bisupermajor, sensa
| | hemithirds, worschmidt, tertia
| hemithirds, worschmidt, tertia
| | countercata
| countercata
|}
|}
*weak extension (one or more generators from the parent temperament are split)
<nowiki>*</nowiki> weak extension (one or more generators from the parent temperament are split)


== Music ==
== Music ==
[http://www.archive.org/details/TrioInOrwell Trio in Orwell] [http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3 play] by [[Gene_Ward_Smith|Gene Ward Smith]]
* [http://www.archive.org/details/TrioInOrwell Trio in Orwell] [http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3 play] by [[Gene Ward Smith]]
 
* [[Earwig]], [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/earwig.mp3 play]
[[earwig|earwig]], [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/earwig.mp3 play],
* [[Technical Notes for Newbeams #Elf Dine on Ho Ho|Elf Dine on Ho Ho]], [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2004%20Hypnocloudsmack%201.mp3 play]
 
* [[Technical Notes for Newbeams #Spun|Spun]], [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2008%20Spun.mp3 play]
[[Technical_Notes_for_Newbeams#Track notes:-Elf Dine on Ho Ho|Elf Dine on Ho Ho]], [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2004%20Hypnocloudsmack%201.mp3 play],
* [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/andrewheathwaite+onedropofrain.mp3 one drop of rain], [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/andrewheathwaite+onedropofrain.mp3 play]
 
* [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/andrewheathwaite+ivecomewithabucketofroses.mp3 i've come with a bucket of roses] and [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/andrewheathwaite+myownhouse.mp3 my own house] by [[Andrew Heathwaite]]
[[Technical_Notes_for_Newbeams#Track notes:-Spun|Spun]], [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2008%20Spun.mp3 play],
* [http://micro.soonlabel.com/orwell/daily20100721-gpo-owellian-cameras.mp3 Orwellian Cameras] by [[Chris Vaisvil]]
 
* [http://archive.org/download/TunicataAndFugue/TunicataAndFugueVer2.mp3 Tunicata and Fugue] by [http://www.archive.org/details/TunicataAndFugue Peter Kosmorsky]
[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/andrewheathwaite+onedropofrain.mp3 one drop of rain], [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/andrewheathwaite+onedropofrain.mp3 play],
* [https://soundcloud.com/tarkan-grood/mountain-village-tarkangrood Mountain Villiage] [http://micro.soonlabel.com/gene_ward_smith/Others/Grood/Mountain_Village_TarkanGrood.mp3 play] by Tarkan Grood
 
* [http://micro.soonlabel.com/gene_ward_smith/transformers/swing-orwell9.mp3 Swing in Orwell-9]
[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/andrewheathwaite+ivecomewithabucketofroses.mp3 i've come with a bucket of roses] and [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/andrewheathwaite+myownhouse.mp3 my own house] by [[Andrew_Heathwaite|Andrew Heathwaite]]
* [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 Schizo Blue] by [https://soundcloud.com/lois-lancaster/schizo-blue-22-edo-orwell Roncevaux (Löis Lancaster)]
 
* [http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/Sejaliscos_by_Roncevaux_on_SoundCloud___Hear_the_world_s_sounds.mp3 Sejaliscos] by [https://soundcloud.com/lois-lancaster/sejaliscos Roncevaux]
[http://micro.soonlabel.com/orwell/daily20100721-gpo-owellian-cameras.mp3 Orwellian Cameras] by [[Chris_Vaisvil|Chris Vaisvil]]
 
[http://archive.org/download/TunicataAndFugue/TunicataAndFugueVer2.mp3 Tunicata and Fugue] by [http://www.archive.org/details/TunicataAndFugue Peter Kosmorsky]
 
[https://soundcloud.com/tarkan-grood/mountain-village-tarkangrood Mountain Villiage] [http://micro.soonlabel.com/gene_ward_smith/Others/Grood/Mountain_Village_TarkanGrood.mp3 play] by Tarkan Grood
 
[http://micro.soonlabel.com/gene_ward_smith/transformers/swing-orwell9.mp3 Swing in Orwell-9]
 
[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 Schizo Blue] by [https://soundcloud.com/lois-lancaster/schizo-blue-22-edo-orwell Roncevaux (Löis Lancaster)]
 
[http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/Sejaliscos_by_Roncevaux_on_SoundCloud___Hear_the_world_s_sounds.mp3 Sejaliscos] by [https://soundcloud.com/lois-lancaster/sejaliscos Roncevaux]


= Keyboards =
= Keyboards =
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[[Category:Marvel]]
[[Category:Marvel]]
[[Category:Orwellismic]]
[[Category:Orwellismic]]
[[Category:84edo]]
[[Category:Listen]]
Retrieved from "https://en.xen.wiki/w/Orwell"