Series 10: Pitch scales & geometrical inversions

These materials appear to be similar to those of Schillinger System of Musical Composition Books II (Theory of Pitch-Scales), I (Theory of Rhythm), and III (Variations of Music by Means of Geometrical Projection). Topics include: pitch scales, table of resultants with and without fractioning; theory of melody; time ratios of the secondary axes; pitch-ratios of the secondary axes; modal transposition, modulations; the second group of scales; composition of continuity; symmetric systems of musical pitch, the third group; symmetric systems of musical pitch, the fourth group; geometrical inversions. composition of harmonic continuity thru geometrical inversions, geometrical expansions. The handwriting in this series appears to be Joseph Schillinger's.