Mathematics and Society - OS X Lion Server

TWIRD MDVbMbNT~T~Each of thesemeasures havemore examplesof half-turns.Notes could be rotated about a point. (In music thisis called "inversion. ") This note has rotated aroundthe point marked X one-half turn. The new note is thesame number of places below the X as the original notewas above the X.1. Rotate these notes one-half turn (or 180°) around the given point ineach measure:I ..... ~- .....i x 'i )(--.. -x• •I I Ix• x2. Put in the point of rotation in each measure (the turns are all 180°):3. What would happen if you rotated a note 360° about a given point?4. Put an X above eachletter to show theplace on the stafffor a note with thatletter name. Thechart below willhelp you.Gc5. In each measure above, rotate the note 180° around the point youmarked with an X.297