Acoustics & Sound For Musicians - Online Book

The Theory Of Sound Which Constitutes The Physical Basis Of The Art Of Music.

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Reducing these to one Octave, as before, we find seven notes not included in the previous list, occupy­ing the following positions :—
108.     Hence, to play perfectly in tune in both Major and Minor modes of the seven keys C, D, E, F, G, A, B, it is necessary to have a key-board with twenty-Jive notes in every Octave. This number, large as it is, by no means includes all necessary notes. Modern music is written in sharp and fiat keys, i.e. in such whose tonics are not coincident with any one of the notes CDE...B. Moreover, the sharp and flat key-notes are different from each
sharper note. As the seven keys which have been already examined require 25 notes in the Octave, we may anticipate that the ten additional sharp and flat keys will bring in a still larger number.
109.     It is, however, needless to institute a de­tailed inquiry into these scales, as the facts already established amply suffice to show how serious are the imperfections of tune which inevitably beset instru­ments of fixed sounds, such as the pianoforte, harmo­nium and organ, containing only twelve notes in
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E-Book - An Annotated Compendium of Old Time American Songs by James Alverson III