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"Yes, my friends," continued the engineer, "such are the arithmetical progressions of prolific nature; and yet what is this multiplication of the grain of corn, of which the ear only bears eight hundred grains, compared to the poppy-plant, which bears thirty-two thousand seeds; to the tobacco-plant, which produces three hundred and sixty thousand?
There are no or few contrapuntal formulas, hardly any mere chord progressions broken into arpeggios and figurated designs. By going to the native dances and folk-tunes of his childhood Haydn took one of the most momentous, decisive steps in his own history and in the history of music.
'It is well known to the learned world, he says, 'that every star is a sun in its place, remaining fixed like the sun of our earth. The proper motions of the stars had, alas! not been discovered in Swedenborg's day, nor does he seem to have been aware what a wild chase he was really entering upon in his spiritual progressions.
Purcell could write intricate fugues and canons without any "harsh progressions"; that he liked these for their own sake is obvious in numberless pieces where no laws of counterpoint compelled him to write this note rather than that. And though in the eyes of the theorists they are harsh, in the ears of all men they are sweet.
Every ingenious device that gave character to his exquisite cantilena, and softened his most startling chord progressions, was evolved by the vivid imagination of this master from hitherto hidden qualities of the pianoforte. Without him neither it nor modern music could have been what it is. An accentuation like the ringing of distant bells is frequently heard in his music.
At three places where the singer uses one or the other of the tones foreign to the pentatonic scale, he makes half-step progressions. In the fourth line of the song we find the single instance in these records, where the performer takes an upward glissando. It is on the two-note embellishment F-natural G-flat shown in the last measure of that line.
To this we may also add that Plato composes politics, assimilating them to divine natures, and adorning them from the whole world and the powers which it contains. All these, therefore, through the similitude of mortal to divine concerns, exhibit to us in images the progressions, orders, and fabrications of the latter. And such are the modes of theologic doctrine employed by Plato.
A man is not a great artist because he makes use of unresolved sevenths and ninths, consecutive major thirds and ninths, and harmonic progressions based on a scale of whole tones; one is only an artist when one makes them say something.
We may take note of the plain chord progressions which intervene in the first and last sections of the impromptu; such progressions are of frequent occurrence in Chopin's works. Is there not something pleonastic in the title "Fantaisie-Impromptu?" Spontaneity of emotional expression and effective treatment of the pianoforte distinguish the Fantaisie- Impromptu.
And then I saw that over every facet patterns were traced; gigantic symmetrical designs; mathematical hieroglyphs. In them I read unthinkable calculations, formulas of interwoven universes, arithmetical progressions of armies of stars, pandects of the motions of the suns.
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