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120 Extempore Playing |
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Here then are two more distinct manners of resolving diminished seventh-chords. Apply these movements to our original set of tones, in addition to their ordinary resoluÂtions as dominants, and we get the following table: |
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We now have twelve major keys. But for a major tonic a minor may always be substituted; we therefore can pass without any other changes into twelve minor keys also, making a total of twenty-four keys.
This is one of the wonders of keyboard harmony, and should be carefully studied by the student. Of course, this device will not often be used, but wher it is, the effect will be very telling.
(2) The augmented 5th-chord is not in very common use, but it has its legitimate place. It will be either the altered I, the altered V, or the III in minor. It consists of two superimposed major thirds. These may be inter-
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changed, thus:
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rearranged |
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These, as written, will all sound precisely the same. As each may be regarded as a I, a V or a III in minor, we have a total of nine keys open to us, thus: |
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