Download Pdf Musical Scales and their Mathematics by Karlheinz Schüffler

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Musical Scales and their Mathematics Karlheinz Schüffler ebook

  • Page: 711
  • Format: pdf / epub / kindle
  • ISBN: 9783662695401
  • Publisher: Springer Berlin Heidelberg

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Are musical scales just trivial? This book explores this question, revealing the complexity of creating "harmony" in tonal systems. Why 12 tones? Are there alternatives? Are 12 fifths equal 7 octaves? What is "consonance"? When are intervals "perfect" or "imperfect"? What is meant by "tonal characteristics", "whole tone" and "semitone"? "Ancient tuning" vs potentially new? Answers need thoughtful explanations, revealing...

 

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