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(Chromatic Scale (Equal Temperament

المؤلف:  GEORGE A. HOADLEY

المصدر:  ESSENTIALS OF PHYSICS

الجزء والصفحة:  p-217

2025-11-19

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Chromatic Scale; Equal Temperament.

In practice there is but one key on the piano between C# and , and this is called either C or Db. In addition to the eight tones of the major diatonic scale, there are five flats or sharps, and all thirteen together, when played in order, constitute the chromatic scale. The system adopted to fix the number of vibrations for each of the thirteen tones of each octave on the piano is called the system of equal temperament. The twelve intervals (semitones) in the scale are made equal, and this interval is   or 1.05946⁺. This means that the number of vibrations of any of these thirteen tones is obtained by multiplying. the number of vibrations of the preceding one by 1.05946.

Figure 2 shows graphically the difference between the equally tempered scale and the scale with sharps and flats given their true vibration numbers, for the octave beginning with c' = 256 vibrations and extending to с" = 512 vibrations. A skilled violin player with a well-trained ear will play the true intervals of the scale. This is one reason why the music of a string quartet is very pleasing.

FIG. 2