Orwell: Difference between revisions

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| 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

| ~~Generator~~ = 7/6 | ~~Generator~~ tuning = 271.5 | Optimization method = ~~CTE~~

| 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]]

~~| Mapping = 1; 7 -3 8 2~~

| 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

| 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.]]

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=== Chords and harmony ===

{{See also| Chords of orwell | Functional harmony in rank-2 temperaments }}

~~{{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).

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== Keyboards ==

{{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:

@@ Line 10: / Line 10: @@
 | 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
-| Generator = 7/6 | Generator tuning = 271.5 | Optimization method = CTE
+| 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]]
-| Mapping = 1; 7 -3 8 2
 | 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
+| 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.]]
@@ Line 133: / Line 133: @@
 === Chords and harmony ===
-{{Main| Chords of orwell }}
+{{See also| Chords of orwell | Functional harmony in rank-2 temperaments }}
-{{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).
@@ Line 665: / Line 664: @@
 == 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: