Monday  March 10

Discuss assignment for this week - make note of project and portfolio.
Comment on Symmetry  in Music and Sound: (another dimension?)

virtual keyboard

Translation   .... by an octave, relative position-- chords
Reflection
Rotation: thirteen notes in "chromatic" scale
Glide Reflection
Visualizations of music - Example:

Notation: Conventional music notation:
from www.mozart.co.uk: example of chopin Valse
Piano Lesson- conventional with dynamic graphical

Graphical score on YouTube Mendelssohn Violin Concerto

Recall the symmetries of a tiling: There are 17 distinct symmetry groups for tiling the plane. They can be described by the following diagrams indicating the symmetries of the figures  as below:

or with figures as illustrated by the following
 Field Patterns

translations

reflections

reflections +
reflections

glide
reflections

reflections +
glide reflections

rotations (2)

reflections +
rotations (2)

rotations (2) +
glide reflections

rotations (2) +
reflections + reflections

rotations (4)

reflections +
rotations (4)

rotations (4) +
reflections

rotations (3)

reflections +
rotations (3)

rotations (3) +
reflections

rotations (6)

reflections +
rotations (6)


Do Symmetry/tessellation activity
Modify quadrilateral tilings using rotation.
Escher: Examples Search.