Orwell: Difference between revisions

(4 intermediate revisions by 3 users not shown)

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 = ~~(L11)~~ 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:

=== 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).

Line 527:

Line 526:

! 53tet

|-

| [[~~Marvel family|~~Marvel]]

| [[Marvel]]

|

| Negri, septimin, august,<br>amavil, enneaportent

Line 555:

Line 554:

|

|-

| [[Porwell ~~family|Hewuermity~~]]

| [[Porwell]]

|

| Triforce, armodue,<br>twothirdtonic

Line 576:

Line 575:

| Amity, hemischis

|-

| [[~~Orwellismic family|~~Orwellismic]]

| [[Orwellismic]]

|

| Beep, secund, infraorwell,<br>niner

Line 597:

Line 596:

| Quartonic, buzzard

|-

| [[~~Nuwell family|~~Nuwell]]

| [[Nuwell]]

|

| Progression, superpelog

| Quasisuper, hedgehog

| Squares, nusecond

| ~~Tricot~~, hamity

| Alphatrimot, hamity

|-

|

Line 609:

Line 608:

| Quasisupra, hedgehog

| Squares, nusecond

| ~~Tricot~~, hamity

| Alphatrimot, hamity

|-

| [[~~Horwell family|~~Horwell]]

| [[Horwell]]

|

Line 648:

Line 647:

; [[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/shorts/g7C2OrFd-nk ''Orwell Micro Trio, for Organ (Just: 7 Orwells = 1 Twelfth)''] (2025) — in open-ended Orwell tuning, but with the generator adjusted to be extremely close to 12\53, at 271.71{{c}}

; [[Herman Miller]]

Line 664:

== 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 = (L11) 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 527: / Line 526: @@
 ! 53tet
 |-
-| [[Marvel family|Marvel]]
+| [[Marvel]]
 |
 | Negri, septimin, august,<br>amavil, enneaportent
@@ Line 555: / Line 554: @@
 |
 |-
-| [[Porwell family|Hewuermity]]
+| [[Porwell]]
 |
 | Triforce, armodue,<br>twothirdtonic
@@ Line 576: / Line 575: @@
 | Amity, hemischis
 |-
-| [[Orwellismic family|Orwellismic]]
+| [[Orwellismic]]
 |
 | Beep, secund, infraorwell,<br>niner
@@ Line 597: / Line 596: @@
 | Quartonic, buzzard
 |-
-| [[Nuwell family|Nuwell]]
+| [[Nuwell]]
 |
 | Progression, superpelog
 | Quasisuper, hedgehog
 | Squares, nusecond
-| Tricot, hamity
+| Alphatrimot, hamity
 |-
 |
@@ Line 609: / Line 608: @@
 | Quasisupra, hedgehog
 | Squares, nusecond
-| Tricot, hamity
+| Alphatrimot, hamity
 |-
-| [[Horwell family|Horwell]]
+| [[Horwell]]
 |
 |
@@ Line 648: / Line 647: @@
 ; [[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/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]]
@@ Line 664: / 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: