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!!!!1619 __ Harmonices Mundi (The Harmony of the World) * Johannes Kepler (1571-1630) * ''Translated excerpt :'' « Book IV of the Harmony of the World by Johannes Kepler — On the harmonic configurations of the stellar rays on the earth, and their effects on events in the sky and other natural phenomena — On the use of mathematics in Natural Philosophy and Politics which most of all concern the Harmonic part of it on radiations. It furnishes everything that is important for the contemplation of nature, declaring the most splendid order of the ratios, according to which the whole of this universe has been constructed, and the analogy of the proportions, which connects together everything in the world, as Timaeus says somewhere, and which restores friendship between things which are in conflict, and relations and mutual affection between those which are widely separated. ^[...^] It remains for us to apply the harmonies, which we have hitherto described, to the cosmos, in three other books, of which the first would attribute the harmonies to God the Creator of the heavens, the second to Nature the director of different motions, and the third to Man the controller of his voice, which originates from motion. However, the requirements of stating the arguments have persuaded us not only to reverse the order, starting from human song, passing from that to the works of Nature, and thus finally to the work of Creation, which was the first and most perfect of all, but also to combine the end of abstract speculation with the beginning of actual harmonies in melody, in the same third book. Therefore, after starting this application to the cosmos in the preceding book, and transferring the harmonies to human melody, which others usually embrace in the general term Art, there now follows the fourth book, which in this reverse order attributes to Nature the second part in actual harmony. ^[...^] — Book V of the Harmony of the World by Johannes Kepler — ^[...^] Chapter VI - That in the Extremes of the Planetary Motions Have Been Expressed, in a Fashion, the Musical Modes or Tones — Yet by the designation of two notes in a common system, and the shaping of the skeleton of the octave, by spanning a definite melodic interval, there is a certain first step towards distinguishing tones or modes : therefore the musical modes have been distributed among the planets. To be sure I know that for the shaping and defining of distinct modes many things are needed , which are proper to human melody, that is to say when it has intervals ; and so I have used the voice in a fashion. Now it will be open to a musician to draw his own conclusion as to which mode each planet more nearly expresses, now that the extremes have here been assigned for him. ^[...^] » ''(Transl. by E.J. Aiton, A.M. Duncan, J.V. Field)'' * ''Sources :'' {small}J. Kepler. (1619 ^[1997^]). ''The Harmony of the World''. Tr.: E.J. Aiton, A.M. Duncan, J.V. Field. The American Philosophical Society (Eds), 1997 ; J. Kepler. (1619 ^[1952^]). ''The Harmony of the World''. Tr. Charles Glenn Wallis. Chicago: Great Books of the Western World. Pub. by Encyclopedia Britannica, Inc., 1952.{/small} {br}{br}
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