Orwell extensions: Difference between revisions

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 Another possible path which relates a sense of compromise is to temper out [[169/168]], leading to [[doublethink]]. This has the effect of slicing the generator in two, and is supported by [[44edo|44]], 53, and [[62edo|62]].
+== Interval chain ==
+Odd harmonics 1–21 and their inverses are in '''bold'''.
+{| class="wikitable center-1 right-2"
+|-
+! rowspan="3" | #
+! rowspan="3" | Cents*
+! colspan="4" | Approximate ratios
+|-
+! rowspan="2" | 11-limit
+! colspan="3" | 13-limit extensions
+|-
+! Tridecimal orwell
+! Winston
+! Blair
+|-
+| 0
+| 0.00
+| '''1/1'''
+|
+|
+|
+|-
+| 1
+| 271.46
+| 7/6
+|
+|
+| 13/11, 15/13
+|-
+| 2
+| 542.91
+| '''11/8''', 15/11
+|
+| 18/13
+| 35/26, 39/28
+|-
+| 3
+| 814.37
+| '''8/5'''
+|
+| 21/13, 52/33
+| '''13/8'''
+|-
+| 4
+| 1085.82
+| '''15/8''', 28/15
+|
+| 13/7
+| 24/13
+|-
+| 5
+| 157.28
+| 12/11, 11/10, 35/32
+|
+| 13/12
+| 14/13
+|-
+| 6
+| 428.73
+| 14/11, 9/7, 32/25
+|
+|
+| 13/10, 33/26
+|-
+| 7
+| 700.19
+| '''3/2'''
+|
+| 52/35
+|
+|-
+| 8
+| 971.64
+| '''7/4'''
+|
+| 26/15
+|
+|-
+| 9
+| 43.10
+| 49/48, 36/35, 33/32
+| 40/39
+| 27/26
+| 26/25
+|-
+| 10
+| 314.55
+| 6/5
+|
+| 13/11
+| 39/32
+|-
+| 11
+| 586.01
+| 7/5
+|
+| 39/28
+| 18/13
+|-
+| 12
+| 857.46
+| 18/11
+| 64/39
+| '''13/8'''
+| 21/13
+|-
+| 13
+| 1128.92
+| 21/11, 27/14, 48/25
+| 25/13
+|
+| 39/20
+|-
+| 14
+| 200.37
+| '''9/8''', 28/25
+|
+|
+|
+|-
+| 15
+| 471.83
+| '''21/16'''
+|
+| 13/10
+|
+|-
+| 16
+| 743.28
+| 49/32, 54/35
+| 20/13
+|
+|
+|-
+| 17
+| 1014.74
+| 9/5
+|
+|
+|
+|-
+| 18
+| 86.19
+| 21/20
+|
+| 26/25
+| 27/26
+|-
+| 19
+| 357.65
+| 27/22, 49/40
+| '''16/13'''
+| 39/32
+|
+|-
+| 20
+| 629.10
+| 36/25
+| 56/39
+|
+|
+|-
+| 21
+| 900.56
+| 27/16, 42/25
+| 22/13
+|
+|
+|-
+| 22
+| 1172.01
+| 63/32
+|
+| 39/20
+|
+|}
+<nowiki>*</nowiki> in 11-limit CWE tuning
 == Tuning spectra ==