. Elements of acoustical engineering. Electro-acoustics; Sound. MUSICAL SCALE 335 A cent is the interval between any two tones whose frequency ratio is the twelve hundredth root of two. For the practical production of music a so called equally tempered scale has been found to be most satisfactory. The equally tempered scale is a division of the octave into twelve equal intervals called equally tem- pered half tones. The standard pitch for America is based on the frequency 440 cycles per second for the tone A on the pianoforte keyboard. The frequencies of a piano having an equally tempered scal
. Elements of acoustical engineering. Electro-acoustics; Sound. MUSICAL SCALE 335 A cent is the interval between any two tones whose frequency ratio is the twelve hundredth root of two. For the practical production of music a so called equally tempered scale has been found to be most satisfactory. The equally tempered scale is a division of the octave into twelve equal intervals called equally tem- pered half tones. The standard pitch for America is based on the frequency 440 cycles per second for the tone A on the pianoforte keyboard. The frequencies of a piano having an equally tempered scale are shown in Fig. rrrrr^i. Aa CflD« FaG„Aa C„0„ F^ G,A„ CoD» F„ CAa CO. F« G„A„ CD„ F„ G^„ C, D, F„» 0,0. F, G,A, ABCDEFGABCDEFGABCDEFGABCDEFCABCDEFGABCDEFGABCDEFGABC imiiiMrainMi: Fig. The piano keyboard and the frequencies of the equally tempered scale as used in music according to the American Standard Pitch. The relative frequencies of the natural or diatonic or just scale and tem- pered scale are shown below. C D E F G A B C Natural Scale Tempered Scale Singers and players of instruments whose pitch can be varied by breath or touch prefer the natural scale to the equally tempered scale because it seems to be more artistic. Of course, the difference between the two scales is small. However, in the case of chords it is said that the difference is noticeable. Pianos and other fixed pitch instruments are tuned to the equally tem- pered scale so that music may be played in various keys without Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Olson, Harry Ferdinand, 1901-. New York, D. Van Nostrand company, inc.
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