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LA MUSIQUE DES SPHERES de Pythagore à Voyager II THE MUSIC OF THE SPHERES from Pythagoras to Voyager-II Dominique Proust (Observatoire de Meudon, France)

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1 LA MUSIQUE DES SPHERES de Pythagore à Voyager II THE MUSIC OF THE SPHERES from Pythagoras to Voyager-II Dominique Proust (Observatoire de Meudon, France)

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3 Franchino Gaffurio: Pitagora, disegno da Theorica Musicae. (1492)

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5 Music of the Spheres (Salzburg, ~ 820 A.D.)

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7 Boèce (480-524), De Institutione Musica

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9 Hildegarde von Bingen (1098-1179) Scivias: vision of the cosmos.

10 Nicolas Oresme (1320-1382), Book of the Sky and the World, 1377.

11 The tree of the science The Trivium is represented with dialectic, grammar and rethoric, then the Quadrivium with Geometry, arithmetic, music and astronomy.

12 XIIth century Hymn: Naturalis Concordia Vocum Cum Planetis.

13 Practica musicae (Franchini Gaffurio, 1451-1522). Directly inspired from Martanus Capella (470) and the neoplatonician School. 8 spheres are associated to 8 of the muses (Thalie, muse of the comedy is not included.

14 The system of Ptolemee (Harmponia Macroscomica, Andreas Cellarius, 1667)

15 The system of Copernic (Harmonia Macroscomica, Andreas Cellarius 1667)

16 Tian Tan: The Temple of the Celestial Harmony (1420) (Beijing) Tian Tan: Le Temple de lHarmonie Céleste (1420) (Pékin)

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19 Keplers musical themes for each planet (Harmonices Mundi, 1619).

20 Le cosmos du XVIIe siècle est ordonné suivant une hiérarchie

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22 Traité de leau de vie (Jean Brouaut, 1646) Hermès Trismégiste is represented holding the sphere of the world in his right hand while the left one is holding a distillator. The seven organ pipes represent the seven planets (including the Moon).

23 Robert Fludds Divine Monochord (Utriusque cosmi, Francfort, 1617)

24 Athanase Kircher Musurgia Universalis, 1650 God is the builder of an organ which represents the world. The 6 stops correspond to the 6 days of the creation.

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26 Marin Mersenne, LHarmonie Universelle, 1636 The three-strings instrument used by Marin Mersenne to study the relationship between the length of the string and the tune.

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30 One of the telescopes built by William Herschel

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34 n D = 0.4 + (0.3 2 ) Bodes law

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38 Regulated air blowing pump constructed by the organ builder Aristide Cavaillé-Coll for Léon Foucaults light velocity experiments at Paris Observatory.

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41 Voyager spacecraft

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45 The accoustic waves

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