Книга: The Foundations of Music (Classic Reprint)

CHAPTER ITHE REDUCTION 01' I~ST.RU.ifB~TAL TO}':ES TO A SINGLESERIES OF PURE TQj''ESTHE world of sound is bounded by the two extremes of pure tone andmere noise. The home of music lies in the lands around the ideal oftone. This ideal forms the first problem of musicn.l science.It is properly termed an ideal because pure tones rarely, if ever,occur under natural circumstances. That is evident from the familiarfact that, however perfectly a musical instrument may be played, itstones are easily distinguishable from those of other instruments, eventhough they may be of the same pitch. The same series of tones ofexactly the same pitches, e.g. the diatonic scale on it- e1 of 264 vibrationsper second. may be given by an indefinite number of instruments. andw:ill be recognised DS different on each, in spite of the sameness that isobviously common to all.This peculiar complexity of tone has been eXI)lained by modernreseal:ch in a way that at least in prinTable of Contents PREFAOE ? CllAI' CON1'ENTS PAOE vii I The reduction of instrnmental toncs toO a single series of pUl'e tones I If Analytic description and theory of the series of pure tODes 5 III Degrees Bnu theory of conSODUDCe and dissonance (fusion) ~ IV The relations of fusion to be~ts, partia,lg, and differencet