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{{interwiki
{{interwiki
| en = Orwell
| de = Orwell
| de = Orwell
| en = Orwell
| es =  
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| ja =  
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}}
{{Infobox regtemp
| Title = Orwell
| Subgroups = 2.3.5.7, 2.3.5.7.11
| Comma basis = [[225/224]], [[1728/1715]] (7-limit); <br> [[99/98]], [[121/120]], [[176/175]] (11-limit)
| Edo join 1 = 22 | Edo join 2 = 31
| Mapping = 1; 7 -3 8 2
| Generators = 7/6 | Generators tuning = 271.5 | Optimization method = CWE
| MOS scales = [[4L 1s]], [[4L 5s]], [[9L 4s]], [[9L 13s]]
| Pergen = (P8, cP5/7)
| Odd limit 1 = 7 | Mistuning 1 = 4.27 | Complexity 1 = 13
| Odd limit 2 = 11-limit 21 | Mistuning 2 = 9.32 | Complexity 2 = 22
}}
}}
[[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''' – so named because 19 steps of [[84edo]], i.e. 19\84, is a possible generator – is an excellent 7-limit temperament and an amazing 11-limit temperament because of the simplicity of harmonic 11.
'''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]].
 
See [[Semicomma family #Orwell]] for technical details.
 
== Properties ==
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 "fifth 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]] 1/1-7/6-11/8-8/5, a chord in which every interval is a (tempered) 11-limit consonance. Other such chords in orwell are the [[keenanismic chords]] and the [[swetismic chords]].
In orwell, [[8/5]] is divided into three equal steps, each of which represent [[7/6]], so that [[1728/1715]] ({{S|6/S7}}) is tempered out. This means that the [[5/1|5th harmonic (5/1)]] is divided into three equal steps that represent [[~]][[12/7]]. After two 8/5's (six generators), [[9/7]] is found by [[tempering out]] the marvel comma, [[225/224]], and thus the [[3/1|just perfect twelfth (3/1)]] is divided into 7 equal steps.  


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]].
In the 11-limit, two generators are equated to [[15/11]] and [[11/8]] (meaning [[99/98]] and [[121/120]] are 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 undecimal orwell are the [[keenanismic chords]] and the [[swetismic chords]]. A far more complicated mapping of 11 at 33 generators, tempering out [[441/440]] instead, is also possible and is known as [[newspeak]] temperament; these two mappings unite on 31edo.


=== Watcher ===
Compatible [[equal temperaments]] include [[22edo]], [[31edo]], [[53edo]], and [[84edo]] (though in 84edo, 11-limit orwell uses the 84e [[val]]). 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.


By switching the roles of the period and generator, we end up with a nonoctave temperament that is to orwell what [[angel]] and [[devadoot]] are to [[meantone]] and [[magic]], respectively. There is an interesting MOS with 7 notes per period; if this is derived as a subset of [[84edt]] (which has 12 notes per period, and is almost identical to 53edo), the resulting MOS has the same structure as the 12edo diatonic scale, only compressed so that the period is ~272 cents rather than an octave. Thus, a piano keyboard for this MOS would look exactly the same as a typical keyboard, only what looks like an octave wouldn't be one anymore. This temperament could be called [[Wikipedia: Watcher (angel)|watcher]], a reference to a class of angels whose very name carries Orwellian connotations. The 12-limit otonality (1:2:3:4:5:6:7:8:9:10:11:12) and utonality both have complexity 4. If we consider these to be the fundamental consonances, then using the 7-note-per period MOS, there are exactly 3 of each type per period, which again is analogous to the diatonic scale. While angel and devadoot don't perform well past the 10-limit, watcher handles the 12-limit with ease. Straight-fretted watcher guitars could be built as long as the strings were all tuned to period-equivalent notes.
See [[Semicomma family #Orwell]] for technical details. See [[Orwell extensions]] for details about 13-limit extensions.  


== Interval chain ==
== Theory ==
Prime harmonics and their inverses are in bold.
=== Interval chain ===
Odd harmonics 1–21 and their inverses are in '''bold'''.
{| class="wikitable center-1 right-2"
{| class="wikitable center-1 right-2"
|-
|-
! #
! #
! Cents*
! Cents*
! 11-limit Ratios<br>(Orwell Mapping)
! Approximate ratios
! 13-limit Extension<br>(Orwell Mapping)
! 13-limit Extension<br>(Winston Mapping)
! 13-limit Extension<br>(Blair Mapping)
|-
|-
| 0
| 0
| 0.00
| 0.00
| 1/1
| '''1/1'''
|
|
|
|-
|-
| 1
| 1
| 271.43
| 271.46
| 7/6
| 7/6
|
|
| 13/11, 15/13
|-
|-
| 2
| 2
| 542.85
| 542.91
| '''11/8''', 15/11
| '''11/8''', 15/11
|
| 18/13
| 35/26, 39/28
|-
|-
| 3
| 3
| 814.28
| 814.37
| '''8/5'''
| '''8/5'''
|
| 21/13, 52/33
| '''13/8'''
|-
|-
| 4
| 4
| 1085.71
| 1085.82
| 15/8, 28/15
| '''15/8''', 28/15
|
| 13/7
| 24/13
|-
|-
| 5
| 5
| 157.13
| 157.28
| 12/11, 11/10, 35/32
| 11/10, 12/11, 35/32
|
| 13/12
| 14/13
|-
|-
| 6
| 6
| 428.56
| 428.73
| 14/11, 9/7, 32/25
| 9/7, 14/11, 32/25
|
|
| 13/10, 33/26
|-
|-
| 7
| 7
| 699.98
| 700.19
| '''3/2'''
| '''3/2'''
|
| 52/35
|
|-
|-
| 8
| 8
| 971.41
| 971.64
| '''7/4'''
| '''7/4'''
|
| 26/15
|
|-
|-
| 9
| 9
| 42.84
| 43.10
| 49/48, 36/35, 33/32
| 33/32, 36/35, 49/48
| 40/39
| 27/26
| 26/25
|-
|-
| 10
| 10
| 314.26
| 314.55
| 6/5
| 6/5
|
| 13/11
| 39/32
|-
|-
| 11
| 11
| 585.69
| 586.01
| 7/5
| 7/5
|
| 39/28
| 18/13
|-
|-
| 12
| 12
| 857.12
| 857.46
| 18/11
| 18/11
| 64/39
| '''13/8'''
| 21/13
|-
|-
| 13
| 13
| 1128.54
| 1128.92
| 21/11, 27/14, 48/25
| 21/11, 27/14, 48/25
| 25/13
|
| 39/20
|-
|-
| 14
| 14
| 199.97
| 200.37
| 9/8, 28/25
| '''9/8''', 28/25
|
|
|
|-
|-
| 15
| 15
| 471.40
| 471.83
| 21/16
| '''21/16'''
|
| 13/10
|
|-
|-
| 16
| 16
| 742.82
| 743.28
| 49/32, 54/35
| 49/32, 54/35
| 20/13
|
|
|-
|-
| 17
| 17
| 1014.25
| 1014.74
| 9/5
| 9/5
|
|
|
|-
|-
| 18
| 18
| 85.67
| 86.19
| 21/20
| 21/20
|
| 26/25
| 27/26
|-
|-
| 19
| 19
| 357.10
| 357.65
| 27/22, 49/40
| 27/22, 49/40
| '''16/13'''
| 39/32
|
|-
|-
| 20
| 20
| 628.52
| 629.10
| 36/25
| 36/25
| 56/39
|
|
|-
|-
| 21
| 21
| 899.95
| 900.56
| 27/16, 42/25
| 27/16, 42/25
| 22/13
|
|
|-
|-
| 22
| 22
| 1171.38
| 1172.01
| 63/32
| 63/32
|
| 39/20
|
|}
|}
<nowiki>*</nowiki> in 11-limit POTE tuning
<nowiki/>* In 11-limit CWE tuning, octave reduced


== Chords ==
=== Chords and harmony ===
{{main| Chords of orwell }}
{{See also| Chords of orwell | Functional harmony in rank-2 temperaments }}
 
The fundamental otonal consonance of orwell, voiced in a roughly {{w|tertian harmony|tertian}} manner, is 4:5:6:7:9:11. In terms of generator steps this is 0–(−3)–7–8–14–2, only available in a 22-tone mos. However, some subsets of this chord are way simpler, such as 8:11:12:14, which is 1–11/8–3/2–7/4 (0–2–7–8).
 
The generator, ~7/6, is a septimal interval, so chords could instead be built around it as 1–7/6–3/2 (0–1–7), 1–7/4–3 (0–8–7), or tetrads such as 1–7/6–3/2–7/4 (0–1–7–8).
 
To 1–7/6–3/2–7/4 we may add 11/8, or to 1–11/8–3/2–7/4 we may add 7/6, to form an essentially tempered pentad, 1–7/6–11/8–3/2–7/4 (0–1–2–7–8). Its inverse is 1–12/11–9/7–3/2–12/7 (0–5–6–7–(−1)), which can serve as a minor counterpart. This is similar, but also in clear contrast to the 1–5/4–3/2 (0–4–1) and 1–6/5–3/2 (0–(−3)–1) chords of [[meantone]]. Two approaches to functional harmony thus arise.
 
First, we can treat the septimal chords above as the basis of harmony, but swapping the roles of 3 and 7 according to their temperamental complexities (number of generator steps). Thus a "dominant" chord is either 7/6 or 12/7 over tonic; a "subdominant" chord is either 7/6 or 12/7 under tonic. This leads to an approach closely adherent to mos scales. The 9-tone mos contains a tonic and a "dominant" triad. The 13-tone mos is good for encapsulating tonic, "pre-dominant", and "dominant" functions, triads to pentads alike.
 
Second, we can treat the same chords as the basis of harmony, and keeping the role of the [[chain of fifths]] as the spine on which the functions are defined. This means dominant is still 3/2 over tonic, for example. A consequence is we must step out of the logic of mos scales, as they are often too restrictive without the many fifths to stack. This is essentially working in JI, but using the commas tempered out in some way to lock into the identity of the temperament.


== Scales ==
== Scales ==
=== MOS scales ===
{{Main| Orwell scales }}
 
=== Mos scales ===
* [[Orwell5]]
* [[Orwell5]]


Line 215: Line 163:
{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
| Small ("minor") interval
! Small ("minor") interval
| 114.29
| 114.29
| 228.59
| 228.59
Line 225: Line 173:
| 1042.87
| 1042.87
|-
|-
| JI intervals represented
! JI intervals represented
| 15/14~16/15
| 15/14~16/15
| 8/7
| 8/7
Line 235: Line 183:
| 11/6
| 11/6
|-
|-
| Large ("major") interval
! Large ("major") interval
| 157.13
| 157.13
| 271.43
| 271.43
Line 245: Line 193:
| 1085.71
| 1085.71
|-
|-
| JI intervals represented
! JI intervals represented
| 12/11~11/10
| 12/11~11/10
| 7/6
| 7/6
Line 258: Line 206:
; 13-tone scales (LsLLsLLLsLLsL, improper)  
; 13-tone scales (LsLLsLLLsLLsL, improper)  
* [[Orwell13]] – 84edo tuning
* [[Orwell13]] – 84edo tuning
* [[Orwellwoo13]] – [6 5/2] eigenmonzo (unchanged-interval) tuning
* [[Orwellwoo13]] – [6 5/2] unchanged-interval (eigenmonzo) tuning


{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
| Small ("minor") interval
! Small ("minor") interval
| 42.84
| 42.84
| 157.13
| 157.13
Line 276: Line 224:
| 1085.71
| 1085.71
|-
|-
| JI intervals represented
! JI intervals represented
|  
|  
| 12/11~11/10
| 12/11~11/10
Line 290: Line 238:
| 15/8
| 15/8
|-
|-
| Large ("major") interval
! Large ("major") interval
| 114.29
| 114.29
| 228.59
| 228.59
Line 304: Line 252:
| 1157.16
| 1157.16
|-
|-
| JI intervals represented
! JI intervals represented
| 15/14~16/15
| 15/14~16/15
| 8/7
| 8/7
Line 321: Line 269:
; 22-tone scales
; 22-tone scales
* [[Orwell22]]
* [[Orwell22]]
* [[Orwellwoo22]] – [6 5/2] eigenmonzo (unchanged-interval) tuning
* [[Orwellwoo22]] – [6 5/2] unchanged-interval (eigenmonzo) tuning


=== Transversal scales ===
=== Transversal scales ===
Line 334: Line 282:
* [[Orwell-graham]] – 13-tone modmos in 53edo tuning
* [[Orwell-graham]] – 13-tone modmos in 53edo tuning
* [[Orwell13-modmos-containing-minerva12]] – 13-tone modmos in POTE tuning
* [[Orwell13-modmos-containing-minerva12]] – 13-tone modmos in POTE tuning
* [[Minerva12-orwell-tempered]] – minerva[12] tempered to orwell
* [[Minerva12-orwell-tempered]] – Minerva[12] tempered to orwell


== Tunings ==
== Tunings ==
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 7-limit norm-based tunings
|-
! rowspan="2" |
! colspan="3" | Euclidean
|-
! Constrained
! Constrained & skewed
! Destretched
|-
! Equilateral
| CEE: ~7/6 = 271.3553{{c}}
| CSEE: ~7/6 = 271.3339{{c}}
| POEE: ~7/6 = 271.3727{{c}}
|-
! Tenney
| CTE: ~7/6 = 271.5130{{c}}
| CWE: ~7/6 = 271.5097{{c}}
| POTE: ~7/6 = 271.5087{{c}}
|-
! Benedetti, <br>Wilson
| CBE: ~7/6 = 271.5725{{c}}
| CSBE: ~7/6 = 271.5741{{c}}
| POBE: ~7/6 = 271.5576{{c}}
|}
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 11-limit norm-based tunings
|-
! rowspan="2" |
! colspan="3" | Euclidean
|-
! Constrained
! Constrained & skewed
! Destretched
|-
! Equilateral
| CEE: ~7/6 = 271.4920{{c}}
| CSEE: ~7/6 = 271.3038{{c}}
| POEE: ~7/6 = 271.1665{{c}}
|-
! Tenney
| CTE: ~7/6 = 271.5597{{c}}
| CWE: ~7/6 = 271.4552{{c}}
| POTE: ~7/6 = 271.4261{{c}}
|-
! Benedetti, <br>Wilson
| CBE: ~7/6 = 271.5915{{c}}
| CSBE: ~7/6 = 271.5302{{c}}
| POBE: ~7/6 = 271.5174{{c}}
|}
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | DR and equal-beating tunings
|-
! Optimized chord !! Generator value !! Polynomial !! Further notes
|-
| 3:4:5 (+1 +1) || ~7/6 = 272.890{{c}} || ''f''<sup>10</sup> &minus; 8''f''<sup>3</sup> + 8 = 0 || 1–3–5 equal-beating tuning
|-
| 4:5:6 (+1 +1) || ~7/6 = 271.508{{c}} || ''f''<sup>10</sup> + 2''f''<sup>3</sup> - 8 = 0 || 1–3–5 equal-beating tuning
|}
=== Tuning spectrum ===
=== Tuning spectrum ===
{| class="wikitable center-all left-4"
{| class="wikitable center-all left-4"
|-
|-
! Edo<br>generator
! Edo<br>generator
! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]]
! [[Eigenmonzo|Unchanged interval<br>(eigenmonzo)]]*
! Generator (¢)
! Generator (¢)
! Comments
! Comments
Line 353: Line 363:
| 7/6
| 7/6
| 266.871
| 266.871
|
|-
|
| 15/11
| 268.475
|  
|  
|-
|-
Line 363: Line 378:
| 11/6
| 11/6
| 270.127
| 270.127
|
|-
|
| 15/14
| 270.139
|
|-
|
| 49/48
| 270.633
|
|-
|
| 21/11
| 270.728
|  
|  
|-
|-
Line 388: Line 418:
| 5/4
| 5/4
| 271.229
| 271.229
|
|-
|
| 21/20
| 271.359
|
|-
|
| 21/16
| 271.385
|  
|  
|-
|-
Line 394: Line 434:
| 271.429
| 271.429
| 84e val
| 84e val
|-
|
| 25/24
| 271.487
|
|-
|
| 64/63
| 271.488
|
|-
|-
|  
|  
Line 404: Line 454:
| 271.623
| 271.623
| 9-odd-limit minimax
| 9-odd-limit minimax
|-
|
| 81/80
| 271.661
|
|-
|-
| 12\53
| 12\53
Line 418: Line 473:
|  
|  
| 272.000
| 272.000
|
|-
|
| 15/8
| 272.067
|
|-
|
| 36/35
| 272.086
|  
|  
|-
|-
Line 440: Line 505:
|  
|  
|}
|}
<nowiki/>* Besides the octave
== Non-octave settings ==
=== Watcher ===
By switching the roles of the period and generator, we end up with a nonoctave temperament that is to orwell what [[angel]] and [[devadoot]] are to [[meantone]] and [[magic]], respectively. There is an interesting mos with 7 notes per period; if this is derived as a subset of [[84edt]] (which has 12 notes per period, and is almost identical to 53edo), the resulting mos has the same structure as the 12edo diatonic scale, only compressed so that the period is ~272 cents rather than an octave. Thus, a piano keyboard for this mos would look exactly the same as a typical keyboard, only what looks like an octave would not be one anymore. This temperament could be called [[Wikipedia: Watcher (angel)|watcher]], a reference to a class of angels whose very name carries Orwellian connotations. The 12-integer-limit otonality (1::12) and utonality (1/(1::12)) both have complexity 4. If we consider these to be the fundamental consonances, then using the 7-note-per-period mos, there are exactly 3 of each type per period, which again is analogous to the diatonic scale. While angel and devadoot do not perform well past the 10-integer-limit, watcher handles the 12-integer-limit with ease. Straight-fretted watcher guitars could be built as long as the strings were all tuned to period-equivalent notes.


== Rank-3 temperaments ==
== Rank-3 temperaments ==
Line 456: Line 526:
! 53tet
! 53tet
|-
|-
| [[Marvel family|Marvel]]
| [[Marvel]]
|  
|  
| Negri, septimin, august,<br>amavil, enneaportent
| Negri, septimin, august,<br>amavil, enneaportent
Line 484: Line 554:
|  
|  
|-
|-
| [[Porwell family|Hewuermity]]
| [[Porwell]]
|  
|  
| Triforce, armodue,<br>twothirdtonic
| Triforce, armodue,<br>twothirdtonic
Line 505: Line 575:
| Amity, hemischis
| Amity, hemischis
|-
|-
| [[Orwellismic family|Orwellismic]]
| [[Orwellismic]]
|  
|  
| Beep, secund, infraorwell,<br>niner
| Beep, secund, infraorwell,<br>niner
Line 526: Line 596:
| Quartonic, buzzard
| Quartonic, buzzard
|-
|-
| [[Nuwell family|Nuwell]]
| [[Nuwell]]
|  
|  
| Progression, superpelog
| Progression, superpelog
| Quasisuper, hedgehog
| Quasisuper, hedgehog
| Squares, nusecond
| Squares, nusecond
| Tricot, hamity
| Alphatrimot, hamity
|-
|-
|  
|  
Line 538: Line 608:
| Quasisupra, hedgehog
| Quasisupra, hedgehog
| Squares, nusecond
| Squares, nusecond
| Tricot, hamity
| Alphatrimot, hamity
|-
|-
| [[Horwell family|Horwell]]
| [[Horwell]]
|  
|  
|  
|  
Line 554: Line 624:
| Countercata
| Countercata
|}
|}
<nowiki>*</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) – [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]
* ''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] – in Orwell[9]


; [[Andrew Heathwaite]]
; [[Andrew Heathwaite]]
* ''[[Earwig]]'' (2012) – [https://web.archive.org/web/20201127015238/http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/earwig.mp3 play] – in 31edo tuning
* ''[[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) – [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 #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) – [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]
* [[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] – in 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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; [[Löis Lancaster]] ([[Roncevaux]])
; [[Löis Lancaster]] ([[Roncevaux]])
* [https://web.archive.org/web/20201112015404/http://micro.soonlabel.com/gene_ward_smith/transformers/swing-orwell9.mp3 ''Swing in Orwell-9'']
* ''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}}
* ''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) – [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
* ''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] – in Orwell[9], 22edo tuning


; [[Claudi Meneghin]]
; [[Claudi Meneghin]]
* [https://www.youtube.com/watch?v=zWrOiih7raY ''Orwell Canon 3 in 1 upon a Ground for Baroque Oboe, Viola, Clarinet, and Viola da Gamba''] (2024)
* [https://www.youtube.com/watch?v=zWrOiih7raY ''Orwell Canon 3 in 1 upon a Ground for Baroque Oboe, Viola, Clarinet, and Viola da Gamba''] (2024)
* [https://www.youtube.com/shorts/g7C2OrFd-nk ''Orwell Micro Trio, for Organ (Just: 7 Orwells = 1 Twelfth)''] (2025) &mdash; in open-ended Orwell tuning, but with the generator adjusted to be extremely close to 12\53, at 271.71{{c}}
; [[Herman Miller]]
* ''[https://soundcloud.com/morphosyntax-1/a-hidden-world A Hidden World]'' (2022) – in Orwell[31]
* ''[https://soundcloud.com/morphosyntax-1/zurg-tuun-vantu-war-is-peace Zurğ tuun vantu]'' (2024) – in Orwell[13], with a generator of 271.5{{c}} and a period of 1199.5{{c}}
; [[Sevish]]
* "[[Droplet]]", from ''[[Rhythm and Xen]]'' (2015) – [https://sevish.bandcamp.com/track/droplet Bandcamp] | [https://soundcloud.com/sevish/droplet?in=sevish/sets/rhythm-and-xen SoundCloud] | [https://www.youtube.com/watch?v=xVZy9GUeMqY YouTube] – drum and bass in Orwell[9], 53edo tuning


; [[Gene Ward Smith]]
; [[Gene Ward Smith]]
* ''Trio in Orwell'' – [http://www.archive.org/details/TrioInOrwell details] | [http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3 play]
* ''Trio in Orwell'' (archived 2010) – [http://www.archive.org/details/TrioInOrwell details] | [http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3 play] – in Orwell[9], 53edo tuning
* [https://web.archive.org/web/20201112015404/http://micro.soonlabel.com/gene_ward_smith/transformers/swing-orwell9.mp3 ''Swing in Orwell-9'']


; [[Chris Vaisvil]]
; [[Chris Vaisvil]]
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== Keyboards ==
== Keyboards ==
{{See also| Orwell on an isomorphic keyboard }}
{{See also| Orwell on an isomorphic keyboard | Lumatone mapping for orwell }}
{{See also| Lumatone mapping for orwell}}


To play interactive versions of these keyboards, check out [https://github.com/vsicurella/SuperVirtualKeyboard Vito Sicurella's plugin], which works with REAPER:
To play interactive versions of these keyboards, check out [https://github.com/vsicurella/SuperVirtualKeyboard Vito Sicurella's plugin], which works with REAPER:
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[[File:orwell13_axis49.png|alt=orwell13_axis49.png|orwell13_axis49.png]]
[[File:orwell13_axis49.png|alt=orwell13_axis49.png|orwell13_axis49.png]]


[[Category:Temperaments]]
[[Category:Orwell| ]] <!-- main article -->
[[Category:Orwell| ]] <!-- main article -->
[[Category:Rank-2 temperaments]]
[[Category:Semicomma family]]
[[Category:Semicomma family]]
[[Category:Marvel temperaments]]
[[Category:Marvel temperaments]]
[[Category:Orwellismic temperaments]]
[[Category:Orwellismic temperaments]]
[[Category:Listen]]
[[Category:Listen]]
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