Symmetry, Counterpoint, Transformation

Symmetry, "Spatial Counterpoint" (choreological studies)

Rough Notes.

Counterpoint; Symmetry; Two or more elements (musical lines, body movement, architectural form) which exhibit a linked or associated relationship, but is somehow contrasted or 'countered' in some way.

  1. Unity, Associated; arising from similar or identical aspects shared by the two or more elements.
  2. Countered, Contrasted; arising from divergent or altered aspects when comparing the two or more elements

Transformations; Operations; The act or routine or process or method of changing or altering an element (musical line, body movement).

  1. Translation; Transpose; Displace; to move the element along to a different place
  2. Reflection; Invert; to reverse all the aspects across 2 sides of a plane, eg mirror reflect left-right, or reflecting up-down or reflect forward-back.
  3. Rotation; to change the orientation of the element, so that different parts point in different directions.
  4. Retrograde; reversing the order of events, playing it backwards.
  5. Sizing; changing the size of the element, smaller or bigger
  6. Body transfer; Replace; using different body parts or other material to perform the element, eg. doing the same movement with a different body part.
  7. Speed; changing the speed of movement
  8. Duration; changing the overall duration of the event
  9. Effort / Space Transformations; Using the theory of Effort / Space Affinities to transform spatial sequences into dynamic effort phrases, and in reverse.


Structural relations, .... what best to call / characterise these? (This separation into this category from Choreological Studies)

  • interval; angle; The difference between two different orientations
  • chord; at least 2 simultaneous intervals
  • axis / equator; association between a relatively straight line and a curved form which encircles it.
  • tangent; association between a curving form and a linear form which meet (touch) at one point (moment)
  • parallel; two forms in parallel (one form translated?). Parallelism often results from the symmetry operations.