Erv Wilson's Linear Notations: Difference between revisions

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Wilson says that he's "''emphatically biased towards the positive systems''", where the fifth is greater than Pythagorean. He mentions that unlike systems like [[meantone]], where the fifth is damaged to make the third pure, a positive system would be the first time in Western history where a tuning had pure thirds and pure fifths. If the third was damaged, it would only be to help the [[7/4|harmonic seventh]] and [[11/8|eleventh]] pure, which Wilson calls "''far lesser apostles''". He also brings up that [[wikipedia:Raga|the ragas of India]] would also be hosted in these positive systems.

On the next page, he gives a section of his thoughts on the original Bosanquet layout, noting things like key shape and the width of intervals. In the current & future papers, he suggests & uses smaller hexagonal keys, saying that it eliminates dead space & suits more scales, like meantone & [[just intonation]]. Along with the Eikosany keyboard, he demonstrates two other keyboards with this variation of the layout, those being the [[wikipedia:Shruti_(music)|22 ''shruitis'' of India]] and a traditional [[Arabic, Turkish, Persian|Arabic]] system of 17 notes.

On the next page, he gives a section of his thoughts on the original Bosanquet layout, noting things like key shape and the width of intervals. In the current & future papers, he suggests & uses smaller hexagonal keys, saying that it eliminates dead space & suits more scales, like meantone & [[just intonation]]. Along with the Eikosany keyboard, he demonstrates two other keyboards with this variation of the layout, those being the [[wikipedia:Shruti_(music)|22 ''shruitis'' of India]] and a traditional [[Arabic, Turkish, Persian|Arabic]] system of 17 notes.[[File:A Handy Guide For The Notation Of 12-, 22-, 31-, And 41-Tone Systems.png|thumb|306x306px|An example of Wilson's notation system]]On the last two pages of the document, Wilson makes mention of a system of notation he issued in 1965. In these pages, he makes two categories based on how many steps C is from C#, and the size of B# compared to C. If C-C# is one step, its singular, two steps is binary, three steps is ternary, etc etc; if B# is less than C, its negative, neutral if they're the same, positive if B# is greater by one step, 2bly positive if B# is greater by two steps, etc etc.

On the last two pages of the document, Wilson makes mention of a system of notation he issued in 1965. In these pages, he makes two categories based on how many steps C is from C#, and the size of B# compared to C. If C-C# is one step, its singular, two steps is binary, three steps is ternary, etc etc; if B# is less than C, its negative, neutral if they're the same, positive if B# is greater by one step, 2bly positive if B# is greater by two steps, etc etc.

~~[[File:A Handy Guide For The Notation Of 12-, 22-, 31-, And 41-Tone Systems.png|thumb|306x306px|An example of Wilson's notation system]]~~

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[[File:Doudecimally positive notation.png|none|thumb|461x461px|Duodecimally positive]]

Wilson mentions that its possible to use a traditional staff with seven nominals due to tradition, though he mentions that it would be better to use the duodecimal system for more complex works.

[[File:Erv Wilson's Linear Accidentals.png|left|frame|~~287x287px~~|The linear accidentals]]

[[File:Erv Wilson's Linear Accidentals.png|left|frame|301x301px|The linear accidentals]]

[[File:A System of Fluctuating Nominal Systems.png|thumb|A graph to show the evolution of nominals in different systems]]

For accidentals, he suggests two pairs; one for positive systems, one for negative. Since there is three systems mentioned here, there are twelve total accidentals.

Wilson made the accidentals mirror each other so that there would be no confusion in the sheet music, assuming one won't use positive & negative accidentals in the same piece. At this time, Wilson hadn't explored novenal (5\[[9edo|9]]) or tridecimal (8\[[13edo|13]]) accidentals, saying "''I need to experiment more with the septimally negative and quintally positive systems before expressing a view on this.''"

~~[[File:A System of Fluctuating Nominal Systems.png|thumb|A graph to show the evolution of nominals in different systems]]~~

For the last few pages of the paper, he demonstrates six keyboards to demonstrate each unique system mentioned in the paper. Along with this, he also includes the notation for each system. In order of appearance, the EDOs used for the notation section are 41, 31, 23, 26, and 22EDO.

== Updates After Wilson ==

In the document for Wilson's ''On Linear Notations and The Bosanquet Keyboard'' from the [http://anaphoria.com/wilson.html Wilson Archives], [[Kraig Grady]] has been working on an appendix from Praveen Venkataramana, showing not only two more systems of fifths but also demonstrating the various ways you can notate EDOs with these systems up to [[72edo|72EDO]]. At the time of writing, there appears to be work showing that this can be applied to [[MOS|MOS scales]] and constant structures, though Grady has not added these yet.

@@ Line 11: / Line 11: @@
 Wilson says that he's "''emphatically biased towards the positive systems''", where the fifth is greater than Pythagorean. He mentions that unlike systems like [[meantone]], where the fifth is damaged to make the third pure, a positive system would be the first time in Western history where a tuning had pure thirds and pure fifths. If the third was damaged, it would only be to help the [[7/4|harmonic seventh]] and [[11/8|eleventh]] pure, which Wilson calls "''far lesser apostles''". He also brings up that [[wikipedia:Raga|the ragas of India]] would also be hosted in these positive systems.
-On the next page, he gives a section of his thoughts on the original Bosanquet layout, noting things like key shape and the width of intervals. In the current & future papers, he suggests & uses smaller hexagonal keys, saying that it eliminates dead space & suits more scales, like meantone & [[just intonation]]. Along with the Eikosany keyboard, he demonstrates two other keyboards with this variation of the layout, those being the [[wikipedia:Shruti_(music)|22 ''shruitis'' of India]] and a traditional [[Arabic, Turkish, Persian|Arabic]] system of 17 notes.
+On the next page, he gives a section of his thoughts on the original Bosanquet layout, noting things like key shape and the width of intervals. In the current & future papers, he suggests & uses smaller hexagonal keys, saying that it eliminates dead space & suits more scales, like meantone & [[just intonation]]. Along with the Eikosany keyboard, he demonstrates two other keyboards with this variation of the layout, those being the [[wikipedia:Shruti_(music)|22 ''shruitis'' of India]] and a traditional [[Arabic, Turkish, Persian|Arabic]] system of 17 notes.[[File:A Handy Guide For The Notation Of 12-, 22-, 31-, And 41-Tone Systems.png|thumb|306x306px|An example of Wilson's notation system]]On the last two pages of the document, Wilson makes mention of a system of notation he issued in 1965. In these pages, he makes two categories based on how many steps C is from C#, and the size of B# compared to C. If C-C# is one step, its singular, two steps is binary, three steps is ternary, etc etc; if B# is less than C, its negative, neutral if they're the same, positive if B# is greater by one step, 2bly positive if B# is greater by two steps, etc etc.
-On the last two pages of the document, Wilson makes mention of a system of notation he issued in 1965. In these pages, he makes two categories based on how many steps C is from C#, and the size of B# compared to C. If C-C# is one step, its singular, two steps is binary, three steps is ternary, etc etc; if B# is less than C, its negative, neutral if they're the same, positive if B# is greater by one step, 2bly positive if B# is greater by two steps, etc etc.
-[[File:A Handy Guide For The Notation Of 12-, 22-, 31-, And 41-Tone Systems.png|thumb|306x306px|An example of Wilson's notation system]]
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 |etc
@@ Line 84: / Line 81: @@
 [[File:Doudecimally positive notation.png|none|thumb|461x461px|Duodecimally positive]]
 Wilson mentions that its possible to use a traditional staff with seven nominals due to tradition, though he mentions that it would be better to use the duodecimal system for more complex works.
-[[File:Erv Wilson's Linear Accidentals.png|left|frame|287x287px|The linear accidentals]]
+[[File:Erv Wilson's Linear Accidentals.png|left|frame|301x301px|The linear accidentals]]
+[[File:A System of Fluctuating Nominal Systems.png|thumb|A graph to show the evolution of nominals in different systems]]
 For accidentals, he suggests two pairs; one for positive systems, one for negative. Since there is three systems mentioned here, there are twelve total accidentals.
 Wilson made the accidentals mirror each other so that there would be no confusion in the sheet music, assuming one won't use positive & negative accidentals in the same piece. At this time, Wilson hadn't explored novenal (5\[[9edo|9]]) or tridecimal (8\[[13edo|13]]) accidentals, saying "''I need to experiment more with the septimally negative and quintally positive systems before expressing a view on this.''"
-[[File:A System of Fluctuating Nominal Systems.png|thumb|A graph to show the evolution of nominals in different systems]]
 For the last few pages of the paper, he demonstrates six keyboards to demonstrate each unique system mentioned in the paper. Along with this, he also includes the notation for each system. In order of appearance, the EDOs used for the notation section are 41, 31, 23, 26, and 22EDO.
 == Updates After Wilson ==
 In the document for Wilson's ''On Linear Notations and The Bosanquet Keyboard'' from the [http://anaphoria.com/wilson.html Wilson Archives], [[Kraig Grady]] has been working on an appendix from Praveen Venkataramana, showing not only two more systems of fifths but also demonstrating the various ways you can notate EDOs with these systems up to [[72edo|72EDO]]. At the time of writing, there appears to be work showing that this can be applied to [[MOS|MOS scales]] and constant structures, though Grady has not added these yet.