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At this point our mind turns to a happening in the macrotelluric sphere of the earth, already considered in another connexion, which now assumes the significance of an ur-phenomenon revealing the astral generation of sound. This is the thunder-storm, constituted for our external perception by the two events: lightning and thunder.
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'There's not the smallest orb which thou behold'st
But in his motion like an angel sings,
Still quiring to the young-eyed cherubim, -
Such harmony is in immortal souls.
But whilst this muddy vesture of decay
Doth grossly close it in, we cannot hear it.'
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(b) The formula for centripetal acceleration - and the concept of such acceleration itself - is the result of splitting circular movement into two rectilinear movements, one in the direction of the tangent, the other in the direction of the radius, and of regarding it - by a mode of reasoning typical of spectator-thinking - as composed of the two. This procedure, however, useful as it may be for the purpose of calculation, is contrary to observation. For, as we have pointed out earlier, observation tells us that all original movement - and what can be more original than the movements of the planetary bodies - is curvilinear. No insight into the dynamic reality of cosmic movement, therefore, can ever be gained by handling it mathematically in this way.
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Actually, Kepler's great work, Harmonices Mundi, in the last part of which he announces his third law, is entirely devoted to proving the truth of the Pythagorean doctrine that the universe is ordered according to the laws of music. This doctrine sprang from the gift of spiritual hearing still possessed by Pythagoras, by which he could perceive the harmonies of the spheres. It was the aim of his school to keep this faculty alive as long as possible, and with its aid to establish a communicable world-conception. The Pythagorean teaching became the foundation of all later cosmological thinking, right up to the age which was destined to bring to birth the spectator-relationship of man's consciousness with the world. Thus it was left to Copernicus to give mankind the first truly non-Pythagorean picture of the universe.
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There is, as already mentioned, the rhythmic occurrence of the seasons in connexion with the varying relative positions of earth and sun. Alongside this we may put the rhythm of the tides, coincident with the phases of the moon. Just as the solar rhythm manifests in an alternating rise and fall of the saps in the plants, so also does the lunar rhythm.4 (Note how this fact actually vitiates the usual explanation that the tidal rhythm of the sea is caused by a gravitational pull exerted by the moon's body on the oceanic water.) In neither instance is the change of position of the relevant cosmic body - in our examples that of the sun or moon in relation to the earth - the 'cause' of the corresponding rhythmic events on the earth. Together with all other rhythmic events of equal periodicity, it is itself the effect of the activity of a force-sphere constituting the cosmic realm to which the relevant planetary body belongs.
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As the three sub-solar planetary spheres are responsible for events of a 'sulphurous' (radial) character, so are the three supra-solar spheres responsible for those of a 'saline' (spherical) character. For example, we meet with Saturn-activity in everything which radiates from the human head and brings about the hardening both of the head itself and of the entire skeleton. Observation has shown that, even if the human being, as usually happens, stops growing in the early twenties, so that the skeleton undergoes no further lengthening, it nevertheless reaches its final shape and its final hardening only between the twenty-eighth and thirtieth years. This is the time in man's life when Saturn returns for the first time to the position in which it stood relatively to the earth at his birth, or, more correctly, at his conception.
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In consequence, the science of acoustics became for the scientific mind of man a model of the required division between the 'subjective' (that is, for scientific considerations non-existent) and the 'objective' (that is, the purely kinematic) part of observation. The field of aural perception seemed to justify the procedure of collecting a mass of phenomena, stripped of all that is experienced by man's soul in meeting them, and of assembling them under a purely abstract concept, 'sound'.
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Remembering what we have found earlier (Chapter X) to be the nature of lightning, we are now in a position to say: a supraterrestrial astral impulse obtains control of the earth's etheric and physical spheres of force in such a way that etheric substance is thrown into the condition of space-bound physical matter. This substance is converted by stages from the state of light and heat via that of air into the liquid and, in certain cases, into the solid state (hail). To this we now add that, while in lightning the first effect of the etheric-physical interference of the astral impulse appears before our eyes, our ears give us direct awareness of this impulse in the form of thunder. It is this fact which accounts for the awe-inspiring character of thunderstorms.
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