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Teora del S XX a

Divisin de hexacordes simtricos

Agustn Calabrese

a) (3,4,5,6,7,8) [0,1,2,3,4,5]

[0,1]U[2,3] U [4,5] = [0,1]U T3I [0,1] U T5I [0,1]

[0,1,2] U [3,4,5] = [0,1,2] U T5I [0,1,2]

[0,1,2,3] U [2,3,4,5] = [0,1,2,3] U T5I [0,1,2,3]

[0,1,2,3,4] U [1,2,3,4,5] = [0,1,2,3,4] U T5I [0,1,2,3,4]

b) (t,0,1,2,3,5) [0,2,3,4,5,7]

[0,2,3] U [4,5,] = [0,2,3] U TI [0,2,3]

[0,2,3,4] U [3,4,5,] = [0,2,3,4] U TI [0,2,3,4]

c) (6,8,t,e,1,3) = [0,2,4,5,7,9]

[0,2,4] U [5,,!] = [0,2,4] U T!I [0,2,4]

[0,4,] U [2,5,!] = [0,4,] U T!I [2,5,!]

[0,2,5] U [4,,!] = [0,2,5] U T!I [0,2,5]

[0,2,4,5] U [4,5,,!] = [0,2,4,5] U T!I [0,2,4,5]

[0,2,4,5,] U [2,4,5,,!] = [0,2,4,5,] U T!I [0,2,4,5,]

d) (8,9,t,2,3,4) = [0,1,2,6,7,8]

[0,1,2] U [",,#] = [0,1,2] U T#I [0,1,2]

[0,1,2,"] U [2,",,#] = [0,1,2,"] U T#I [0,1,2,"]

[0,1,2,",] U [1,2,",,#] = [0,1,2,",] U T#I [0,1,2,",]

e) (2,3,6,7,t,e) = [0,1,4,5,8,9]

[0,1,4] U [5,#,!] = [0,1,4] U T!I [0,1,4]

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[0,1,4,5] U [4,5,#,!] = [0,1,4,5] U T!I [0,1,4,5]

[0,1,4,5,#] U [1,4,5,#,!] = [0,1,4,5,#] U T!I [0,1,4,5,#]

f) (1,3,5,7,9) = [0,2,4,6,8,t]

[0,2] U [4,"] U [#,t] = [0,2] U T"I [0,2] U T10I [0,2]

[0,2,4] U [",#,t] = [0,2,4] U T10I [0,2,4]

[0,2,4,"] U [4,",#,t] = [0,2,4,"] U T10I [0,2,4,"]

[0,2,4,",#] U [2,4,",#,t] = [0,2,4,",#] U T10I [0,2,4,",#]