The mathematics of polytonic music scales of length p is described in detail where a general classification is based on groups of interval sequences. Manuscript "Hscales45NEW.pdf" deals with heptatonic scales (p = 7) where properties of the traditional 12 major and 12 minor scales as examples of 5540 general heptatonic scales are discussed in detail. Manuscript "AllScales45NEW.pdf" deals with general polytonic scales of length p = 3 to 9 where a complete classification based on groups of interval sequences is performed. The manuscript language is German.