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Updated: May 25, 2025
A Scherzo, after the ballad of Goethe, "The Sorcerer's Apprentice," tells the famous story of the boy who in his master's absence compels the spirit in the broom to fetch the water; but he cannot say the magic word to stop the flood, although he cleaves the demon-broom in two. Dukas uses them later in divided violins, violas and cellos, having thus a triad of harmonics doubled in the octave.
The double and triple harmonics, the successions of harmonics in thirds and sixths, so difficult for small hands, owing to the stretch they require, were to him as child's play. When playing an accentuated pizzicato with the left hand, while the melody was played by the hand of the bow, the fourth finger pinched the string with prodigious power even when the other three fingers were placed."
In the study of sound we can employ an acoustic apparatus for the purpose of decomposing any proposed note, and finding not only the main undulation itself, but the several superposed harmonics which give to the note its timbre. So also we can analyze the undulation of the tide, and show the component parts. The decomposition is effected by the process known as harmonic analysis.
Nine tenths of the 'squeaking' heard when harmonics are played is due to the fact that the finger-placing is not properly prepared, and that the fingers are not on the right spot. When beginning a harmonic at the frog, have the harmonic ready, then let the bow drop gently on the string. "Triple and quadruple harmonics may be combined in exactly the same way.
The negroes had gathered together on the deck and their voices rose together in a haunting melody that soared in poignant harmonics toward the moon. And Ardita listens in enchantment. "Oh down oh down, Mammy wanna take me down milky way, Oh down, oh down, Pappy say to-morra-a-a-ah But mammy say to-day, Yes mammy say to-day!"
I maintained that instinct was inherited memory, and this without admitting more exceptions and qualifying clauses than arise, as it were, by way of harmonics from every proposition, and must be neglected if thought and language are to be possible.
It is a curious fact that when asked to think of any number less than 10, most persons will choose 7. Every form of art, though primarily a vehicle for the expression and transmission of particular ideas and emotions, has subsidiary offices, just as a musical tone has harmonics which render it more sweet.
His knowledge of the laws of harmonics and his execution may be ever so perfect; but with his instrument out of tune and out of order he will produce discords instead of harmony.
The true artist realizes that MIND, the player, must study SOUL, the harmonics; and that the mind must also have its instrument, the BODY, in perfect condition in order to interpret perfectly and artistically the harmonies of the symphony of life. Likewise, the Nature Cure physician will look for causes of disease and for means of cure upon the material, mental and psychical planes of being.
But he was enough his usual self to have taken his seat at the piano, now, and was looking at her across it, while his fingers fitted themselves lazily to chords and harmonics. "I'll tell you something, if you'll promise to stop playing the instant your supper comes up!" "I'll promise!" "Well, then the new Puccini is there!"
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