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Updated: June 25, 2025
And I think I see a way to do it." "How?" "So far, I have been thinking about refining our own search sonar." Tom explained that the new system he had in mind would send out a complex pulse that is, an underwater sound wave with many harmonics instead of a single tone, sharp-peaked sound impulse. "This will make it less likely that their antidetection gear will absorb all of it," Tom went on.
I didn't notice his eyes before. All set, Paganini. Your turn. Let's go. Ah, that was a note! Well, well, well, his nobs can play. Hm! A cadenza in double stops! And the E minor scale in harmonics! Listen to the baron in the dirty white vest. The man's a violinist. Observe calisthenics on the G string and in the second position. A very difficult position and easily faked.
He has given some idea of it in a passage in his work on Harmonics, which is not now quoted, only lest someone might say it was egotistical a term which is simply grotesque when applied to such a man with such a life's work accomplished.
The overtones, or harmonics, as they also are called, vibrate in certain simple harmonic relations with the fundamental from twice to five times as often per second, sounding the octave above, the fifth of that octave, the second octave, the major third of that octave, etc.
And everything is difficult in its perfected sense. What I, as a student, found to be most difficult were double harmonics I still consider them to be the most difficult thing in the whole range of violin technic. First of all, they call for a large hand, because of the wide stretches. But harmonics were one of the things I had to master before Professor Auer would allow me to appear in public.
These, like the two upper octaves of the flute and the harmonics of the violin, are produced by the column of air dividing itself into two vibrating halves, with a node between them; while the open chest notes of the human voice and the lower octave of the flute are produced by the undivided column of air vibrating as a whole.
Not that they are hard in a modern way: Bach knew nothing of harmonics, pizzicati, scales in octaves and tenths. But his counterpoint, his fugues to play them well when the principal theme is sometimes in the outer voices, sometimes in the inner voices, or moving from one to the other is supremely difficult!
"We shall yet call upon the Names, and see," replied Skale, placing a great hand upon his companion's shoulder, "not aloud necessarily, but by an inner effort of intense will which sets in vibration the finer harmonics heard only by the poet and magician, those harmonics and overtones which embody the psychical element in music.
Klindworth strengthens the first and the seventh eighth notes of the fifth bar before the last by filling in the harmonics of the left hand. This etude is an important one, technically; because many pianists make little of it that does not abate its musical significance, and I am almost inclined to group it with the last two studies of this opus.
Fiddle in harmonics as it may, it will have these gratifications at all costs. Should none be discoverable, at once you are at the Cave of Despair, beneath the funereal orb of Glaucoma, in the thick midst of poniarded, slit-throat, rope-dependant figures, placarded across the bosom Disillusioned, Infidel, Agnostic, Miserrimus. That is the sentimental route to advancement.
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