Erv Wilson's Linear Notations: Difference between revisions

Line 73:

In this paper, Wilson elaborates more on the notation he first brought up in 1974. First, he brings up three families of fifths and their direction on the Bosanquet keyboard:

* (Vertical) doudecimally ''positive'' (>7\[[12edo|12]]): [[17edo|17]], [[29edo|29]], [[41edo|41]], [[53edo|53]], etc | ''negative'' (<7\12): [[19edo|19]], [[31edo|31]], [[43edo|43]], [[50edo|50]], etc

* (Right-leaning) septimally ''positive'' (>5\[[7edo|7]]): 12, 19, [[26edo|26]], 31, etc | ''negative'' (<5\7): [[9edo|9]], [[16edo|16]], [[23edo|23]], [[25edo|25]], etc

* (Right-leaning) septimally ''positive'' (>4\[[7edo|7]]): 12, 19, [[26edo|26]], 31, etc | ''negative'' (<4\7): [[9edo|9]], [[16edo|16]], [[23edo|23]], [[25edo|25]], etc

* (Left-leaning) quintally ''positive'' (>3\[[5edo|5]]): [[8edo|8]], [[13edo|13]], [[18edo|18]], [[23edo|23]], etc | ''negative'' (<3\5): 7, 12, 17, 22, etc

Although the positive & negative notations of each family are part of the same system, they require different treatments in order to stay melodically consistent. Thus, there are different nominal systems for each kind of system. He gives four examples:

[[File:Septimally negative.png|thumb|351x351px|Septimally negative|left]][[File:Doudecimally positive notation.png|thumb|424x424px|Duodecimally positive]]Wilson mentions that its possible to use a traditional staff with seven nominals for duodecimally negative systems due to tradition, though he mentions that it would be better to use the duodecimal system for more complex works.

Wilson mentions that its possible to use a traditional staff with seven nominals for duodecimally negative systems 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|222x222px|The linear accidentals|thumb]]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.[[File:A System of Fluctuating Nominal Systems.png|thumb|A graph to show the evolution of nominals in different systems|242x242px]]

@@ Line 73: / Line 73: @@
 In this paper, Wilson elaborates more on the notation he first brought up in 1974. First, he brings up three families of fifths and their direction on the Bosanquet keyboard:
 * (Vertical) doudecimally ''positive'' (>7\[[12edo|12]]): [[17edo|17]], [[29edo|29]], [[41edo|41]], [[53edo|53]], etc | ''negative'' (<7\12): [[19edo|19]], [[31edo|31]], [[43edo|43]], [[50edo|50]], etc
-* (Right-leaning) septimally ''positive'' (>5\[[7edo|7]]): 12, 19, [[26edo|26]], 31, etc | ''negative'' (<5\7): [[9edo|9]], [[16edo|16]], [[23edo|23]], [[25edo|25]], etc
+* (Right-leaning) septimally ''positive'' (>4\[[7edo|7]]): 12, 19, [[26edo|26]], 31, etc | ''negative'' (<4\7): [[9edo|9]], [[16edo|16]], [[23edo|23]], [[25edo|25]], etc
 * (Left-leaning) quintally ''positive'' (>3\[[5edo|5]]): [[8edo|8]], [[13edo|13]], [[18edo|18]], [[23edo|23]], etc | ''negative'' (<3\5): 7, 12, 17, 22, etc
 Although the positive & negative notations of each family are part of the same system, they require different treatments in order to stay melodically consistent. Thus, there are different nominal systems for each kind of system. He gives four examples:
 [[File:Quintally positive.png|thumb|407x407px|Quintally positive]][[File:Positive Septimal Notation.png|none|thumb|347x347px|Septimally positive]]
-[[File:Septimally negative.png|thumb|351x351px|Septimally negative|left]][[File:Doudecimally positive notation.png|thumb|424x424px|Duodecimally positive]]Wilson mentions that its possible to use a traditional staff with seven nominals for duodecimally negative systems due to tradition, though he mentions that it would be better to use the duodecimal system for more complex works.
+[[File:Septimally negative.png|thumb|351x351px|Septimally negative|left]][[File:Doudecimally positive notation.png|thumb|424x424px|Duodecimally positive]]
+Wilson mentions that its possible to use a traditional staff with seven nominals for duodecimally negative systems 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|222x222px|The linear accidentals|thumb]]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.[[File:A System of Fluctuating Nominal Systems.png|thumb|A graph to show the evolution of nominals in different systems|242x242px]]