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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.]]


== Properties ==
'''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]].
[[Semicomma_family#Seven limit children-Orwell|Orwell]] — so named because 19 steps of [[84edo|84edo]], or 19\84, is a possible generator — is an excellent 7-limit temperament and an amazing (because of the low complexity of 11) 11-limit temperament. The "perfect twelfth" 3/1 is divided into 7 equal steps. One of these steps represents 7/6; three represent 8/5. It's a member of the [[Semicomma_family|Semicomma family]]. 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|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|keenanismic tetrads]] and the [[swetismic_chords|swetismic chords]].
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]].


Compatible equal temperaments include [[22edo|22edo]], [[31edo|31edo]], [[53edo|53edo]], and [[84edo|84edo]]. Orwell is in better tune in lower limits than higher ones; the [[Optimal_patent_val|optimal patent val]] is [[296edo|296edo]] in the 5-limit, [[137edo|137edo]] in the 7-limit, and [[53edo|53edo]] in the 11-limit. It tempers out the semicomma in the 5-limit, and so belongs to the [[Semicomma_family|semicomma family]]. In the 7-limit it tempers out 225/224, 1728/1715, 2430/2401 and 6144/6125 in the 7-limit, and 99/98, 121/120, 176/175, 385/384 and 540/539 in the 11-limit. By adding 275/273 to the list of commas it can be extended to the 13-limit as [[Semicomma_family#Orwell-13-limit|tridecimal orwell]], and by adding instead 66/65, [[Semicomma_family#Winston|winston temperament]].
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]].


=== Watcher ===
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.


By switching the roles of the period and generator, we end up with a nonoctave temperament that is to orwell what [[Angel|angel]] and [[devadoot|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|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 [https://en.wikipedia.org/wiki/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.  


== Interval chain ==
== Interval chain ==
Prime harmonics and their inverses are in bold.
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 and harmony ==
{{Main| Chords of orwell }}
{{See also| 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).


== Spectrum of orwell tunings by eigenmonzos ==
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.


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


== Chords ==
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.
{{main| Chords of orwell }}


== Scales ==
== Scales ==
; [6 5/2] eigenmonzo tuning
{{Main| Orwell scales }}
* [[orwellwoo13]]
 
* [[orwellwoo22]]
=== Mos scales ===
* [[Orwell5]]


; Transversals scales
; 9-tone scales (sLsLsLsLs, proper)
* [[orwell13trans]]
* [[Orwell9]] – 84edo tuning
* [[orwell22trans]]
* [[Orwell9-12]] – 7-limit POTE tuning, mapped to 12-tones
* [[orwell31trans]]
* [[orwell13trans57]]
* [[orwell22trans57]]
* [[orwell31trans57]]


=== 9-note (LsLsLsLss, proper) ===
[[file:OrwellNonatonicPOTE.mp3]] in POTE tuning
[[file:OrwellNonatonicPOTE.mp3]] in POTE tuning


Line 277: Line 151:
{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
| Small ("minor") interval
! Small ("minor") interval
| 114.29
| 114.29
| 228.59
| 228.59
Line 287: Line 161:
| 1042.87
| 1042.87
|-
|-
| JI intervals represented
! JI intervals represented
| 15/14~16/15
| 15/14~16/15
| 8/7
| 8/7
Line 297: Line 171:
| 11/6
| 11/6
|-
|-
| Large ("major") interval
! Large ("major") interval
| 157.13
| 157.13
| 271.43
| 271.43
Line 307: Line 181:
| 1085.71
| 1085.71
|-
|-
| JI intervals represented
! JI intervals represented
| 12/11~11/10
| 12/11~11/10
| 7/6
| 7/6
Line 318: Line 192:
|}
|}


=== 13-note (LLLsLLsLLsLLs, improper) ===
; 13-tone scales (LsLLsLLLsLLsL, improper)  
* [[Orwell13]] – 84edo 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 336: Line 212:
| 1085.71
| 1085.71
|-
|-
| JI intervals represented
! JI intervals represented
|  
|  
| 12/11~11/10
| 12/11~11/10
Line 350: Line 226:
| 15/8
| 15/8
|-
|-
| Large ("major") interval
! Large ("major") interval
| 114.29
| 114.29
| 228.59
| 228.59
Line 364: Line 240:
| 1157.16
| 1157.16
|-
|-
| JI intervals represented
! JI intervals represented
| 15/14~16/15
| 15/14~16/15
| 8/7
| 8/7
Line 379: Line 255:
|}
|}


== Planar temperaments ==
; 22-tone scales
Following is a list of rank three, or planar temperaments that are supported by orwell temperament.
* [[Orwell22]]
* [[Orwellwoo22]] – [6 5/2] unchanged-interval (eigenmonzo) tuning
 
=== Transversal scales ===
* [[Orwell13trans]]
* [[Orwell13trans57]]
* [[Orwell22trans]]
* [[Orwell22trans57]]
* [[Orwell31trans]]
* [[Orwell31trans57]]
 
=== Others ===
* [[Orwell-graham]] – 13-tone modmos in 53edo tuning
* [[Orwell13-modmos-containing-minerva12]] – 13-tone modmos in POTE tuning
* [[Minerva12-orwell-tempered]] – Minerva[12] tempered to orwell
 
== Tunings ==
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 7-limit prime-optimized tunings
|-
! rowspan="2" |
! colspan="2" | Euclidean
|-
! Constrained
! Constrained & skewed
|-
! Equilateral
| CEE: ~7/6 = 271.3553{{c}}
| CSEE: ~7/6 = 271.3339{{c}}
|-
! Tenney
| CTE: ~7/6 = 271.5130{{c}}
| CWE: ~7/6 = 271.5097{{c}}
|-
! Benedetti, <br>Wilson
| CBE: ~7/6 = 271.5725{{c}}
| CSBE: ~7/6 = 271.5741{{c}}
|}
 
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 11-limit prime-optimized tunings
|-
! rowspan="2" |
! colspan="2" | Euclidean
|-
! Constrained
! Constrained & skewed
|-
! Equilateral
| CEE: ~7/6 = 271.4920{{c}}
| CSEE: ~7/6 = 271.3038{{c}}
|-
! Tenney
| CTE: ~7/6 = 271.5597{{c}}
| CWE: ~7/6 = 271.4552{{c}}
|-
! Benedetti, <br>Wilson
| CBE: ~7/6 = 271.5915{{c}}
| CSBE: ~7/6 = 271.5302{{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 ===
{| class="wikitable center-all left-4"
|-
! Edo<br>generator
! [[Eigenmonzo|Unchanged interval<br>(eigenmonzo)]]*
! Generator (¢)
! Comments
|-
| 2\9
|
| 266.667
| Lower bound of 7-odd-limit diamond monotone
|-
|
| 7/6
| 266.871
|
|-
|
| 15/11
| 268.475
|
|-
|
| 11/7
| 269.585
|
|-
|
| 11/6
| 270.127
|
|-
|
| 15/14
| 270.139
|
|-
|
| 49/48
| 270.633
|
|-
|
| 21/11
| 270.728
|
|-
| 7\31
|
| 270.968
| Lower bound of 9- and 11-odd-limit diamond monotone
|-
|
| 11/9
| 271.049
|
|-
|
| 7/4
| 271.103
|
|-
|
| 7/5
| 271.137
| 7- and 11-odd-limit minimax
|-
|
| 5/4
| 271.229
|
|-
|
| 21/20
| 271.359
|
|-
|
| 21/16
| 271.385
|
|-
| 19\84
|
| 271.429
| 84e val
|-
|
| 25/24
| 271.487
|
|-
|
| 64/63
| 271.488
|
|-
|
| 5/3
| 271.564
| 5-odd-limit minimax
|-
|
| 9/5
| 271.623
| 9-odd-limit minimax
|-
|
| 81/80
| 271.661
|
|-
| 12\53
|
| 271.698
|
|-
|
| 3/2
| 271.708
|
|-
| 17\75
|
| 272.000
|
|-
|
| 15/8
| 272.067
|
|-
|
| 36/35
| 272.086
|
|-
|
| 9/7
| 272.514
|
|-
| 5\22
|
| 272.727
| Upper bound of 7-, 9- and 11-odd-limit diamond monotone
|-
|
| 11/10
| 273.001
|
|-
|
| 11/8
| 275.659
|
|}
<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 ==
Following is a list of rank-3, or planar temperaments that are supported by orwell temperament.


{| class="wikitable"
{| class="wikitable"
|-
|-
! colspan="2" | Planar temperament
! colspan="2" | Rank-3 temperament
! colspan="4" | Among others, planar temperament is also supported by…
! colspan="4" | Among others, rank-3 temperament is also supported by…
|-
|-
! 7-limit
! 7-limit
Line 394: Line 506:
! 53tet
! 53tet
|-
|-
| [[Marvel family|marvel]]
| [[Marvel family|Marvel]]
|  
|  
| negri, septimin, august,<br>amavil, enneaportent
| Negri, septimin, august,<br>amavil, enneaportent
| magic, pajara, wizard, porky
| Magic, pajara, wizard, porky
| meantone, miracle, tritonic,<br>slender, würschmidt
| Meantone, miracle, tritonic,<br>slender, würschmidt
| garibaldi, catakleismic
| 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,<br>twothirdtonic
| Triforce, armodue,<br>twothirdtonic
| porcupine, astrology, shrutar,<br>hendecatonic, septisuperfourth
| Porcupine, astrology, shrutar,<br>hendecatonic, septisuperfourth
| hemiwürschmidt, valentine,<br>mohajira, grendel
| Hemiwürschmidt, valentine,<br>mohajira, grendel
| amity, hemischis,<br>hemikleismic
| Amity, hemischis,<br>hemikleismic
|-
|-
|  
|  
| zeus
| Zeus
| triforce, armodue,<br>twothirdtonic
| Triforce, armodue,<br>twothirdtonic
| porcupine, astrology, shrutar,<br>hendecatonic
| Porcupine, astrology, shrutar,<br>hendecatonic
| hemiwur, valentine, mohajira
| Hemiwur, valentine, mohajira
| hitchcock,<br>hemikleismic
| Hitchcock,<br>hemikleismic
|-
|-
|  
|  
| jupiter
| Jupiter
|  
|  
| septisuperfourth
| Septisuperfourth
| hemiwürschmidt, grendel
| Hemiwürschmidt, grendel
| amity, hemischis
| Amity, hemischis
|-
|-
| [[Orwellismic family|orwellian]]
| [[Orwellismic family|Orwellismic]]
|  
|  
| beep, secund, infraorwell,<br>niner
| Beep, secund, infraorwell,<br>niner
| superpyth, doublewide,<br>echidna
| Superpyth, doublewide,<br>echidna
| myna, mothra, sentinel,<br>semisept
| Myna, mothra, sentinel,<br>semisept
| quartonic, buzzard
| 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,<br>fifthplus
| Bisupermajor, escaped,<br>fifthplus
| hemithirds, worschmidt,<br>tertiaseptal
| Hemithirds, worschmidt,<br>tertiaseptal
| countercata, pontiac
| Countercata, pontiac
|-
|-
|  
|  
| zelda
| Zelda
|  
|  
| bisupermajor, sensa
| Bisupermajor, sensa
| hemithirds, worschmidt, tertia
| Hemithirds, worschmidt, tertia
| 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 ==
* [http://www.archive.org/details/TrioInOrwell Trio in Orwell] [http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3 play] by [[Gene Ward Smith]]
; [[Tarkan Grood]]
* [[Earwig]], [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/earwig.mp3 play]
* ''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]
* [[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]
; [[Andrew Heathwaite]]
* [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]
* ''[[Earwig]]'' (2012) – [https://web.archive.org/web/20201127015238/http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/earwig.mp3 play] – in 31edo tuning
* [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 #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
* [http://micro.soonlabel.com/orwell/daily20100721-gpo-owellian-cameras.mp3 Orwellian Cameras] by [[Chris Vaisvil]]
* [[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]
* [http://archive.org/download/TunicataAndFugue/TunicataAndFugueVer2.mp3 Tunicata and Fugue] by [http://www.archive.org/details/TunicataAndFugue Peter Kosmorsky]
* [https://web.archive.org/web/20201127013436/http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/andrewheathwaite+onedropofrain.mp3 ''one drop of rain'']
* [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
* [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'']
* [http://micro.soonlabel.com/gene_ward_smith/transformers/swing-orwell9.mp3 Swing in Orwell-9]
* [https://web.archive.org/web/20201127014830/http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/andrewheathwaite+myownhouse.mp3 ''my own house'']
* [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]
; [[Peter Kosmorsky]]  
* ''Tunicata and Fugue'' – [http://www.archive.org/details/TunicataAndFugue details] | [http://archive.org/download/TunicataAndFugue/TunicataAndFugueVer2.mp3 play]
 
; [[Löis Lancaster]] ([[Roncevaux]])
* ''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] – in Orwell[9], 22edo tuning
 
; [[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)
 
; [[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


= Keyboards =
; [[Gene Ward Smith]]
* ''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'']


{{see also| Orwell on an Isomorphic Keyboard }}
; [[Chris Vaisvil]]
* [https://web.archive.org/web/20201127014716/http://micro.soonlabel.com/orwell/daily20100721-gpo-owellian-cameras.mp3 ''Orwellian Cameras'']


To play interactive versions of these keyboards, check out Vito Sicurella's plugin, which works with REAPER:
== Keyboards ==
{{See also| Orwell on an isomorphic keyboard }}
{{See also| Lumatone mapping for orwell}}


<nowiki>https://github.com/vsicurella/SuperVirtualKeyboard/releases/tag/0.021?fbclid=IwAR0ShCAy672Ruaz1VSVaU2beGuX2RI3elIfZOyrn9T9OHOYuQNXTGBCyIgU</nowiki>
To play interactive versions of these keyboards, check out [https://github.com/vsicurella/SuperVirtualKeyboard Vito Sicurella's plugin], which works with REAPER:


[[File:Orwell_13.png|alt=Orwell_13.png|1023x292px|Orwell_13.png]]
[[File:Orwell_13.png|alt=Orwell_13.png|1023x292px|Orwell_13.png]]
Line 522: Line 654:
[[File:orwell13_axis49.png|alt=orwell13_axis49.png|orwell13_axis49.png]]
[[File:orwell13_axis49.png|alt=orwell13_axis49.png|orwell13_axis49.png]]


[[Category:Temperament]]
[[Category:Orwell| ]] <!-- main article -->
[[Category:Orwell| ]] <!-- main article -->
[[Category:Semicomma]]
[[Category:Rank-2 temperaments]]
[[Category:Marvel]]
[[Category:Semicomma family]]
[[Category:Orwellismic]]
[[Category:Marvel temperaments]]
[[Category:Orwellismic temperaments]]
[[Category:Listen]]
[[Category:Listen]]
Retrieved from "https://en.xen.wiki/w/Orwell"