HANDBOOK OF ACOUSTICS - online book

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TEMPERAMENT.                                 231
n
ri--------------------i----------------\ *
LP 9
V
d
t,
n
v
r
r------------------------------g,
                                                                                                           *                                                                                                             ■
                                           *                                           
                                                                                      
8|----------------------a----------------------f,
Fig. 88.
The changes of key in modern music, are, however, rarely confined to the above, and are often very extensive. A study of fig. 89 will show that in general every change of key of one remove either to the right or left of the central key, requires two new tones. Thus starting in C Major without Chromatics, 8 tones are required to the octave; on passing into Gr, two new tones are required; on further changing to D two more will be wanted ; passing from this into A two more have to be brought forward, while if the music then enters the key of E, all the tones of this