INCL-VEC-ANGLE

[GENERIC-FUNCTION]


OMPitchField
Function Reference
ARGUMENTS:
  - chord1 list of integers  
  - chord2 list of integers  
  - classreps list of INCL-CLASSREP expressions [default = (1 2 3 4 5 6)]
&optional
 
  - n modulus of the pc space [default = 12]

Description:


Calculates length-k inclusion vectors for CHORD1 and CHORD2 (see
documentation of function INCL-VEC for details). These vectors are
given a geometric interpretation which locates them at a common
origin in k-dimensional space. The angle between the two vectors
is then calculated and returned.

When N is 12 and CLASSREPS is '(1 2 3 4 5 6), the inclusion vectors
are standard interval vectors, and the return value is the 'interval
angle' proposed as a measure of pcset similarity (smaller angles
indicating greater similarity) in Damon Scott and Eric J. Isaacson,
'The Interval Angle: A Similarity Measure for Pitch-Class Sets,'
Perspectives of New Music 36.2 (Summer 1998): 107-142.



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