Igite Paris n°8 - Cédric Ringenbach - Math et Musique
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The document discusses musical harmonics and scales. It introduces harmonics as integer multiples of the fundamental frequency and shows how this relates to notes in a major chord. It then presents the chromatic scale and discusses frequency ratios between notes in terms of square roots. Finally, it provides examples of frequency ratios for notes in a major scale.
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- 1. Cédric Ringenbach Math et Musique Ignite#8 Café Dune – 18/10/2010
- 3. 1 2 3 4 5 6 etc.
- 4. L L/2
- 5. L L/3 L/2 L/4 L/5 L/6
- 6. x2 x3 Do Do Sol x1
- 7. x2 x3 x4 x5 x6 Do Do Sol Do Mi Sol x1
- 8. x2 x3 x4 x5 x6 Do Do Sol Do Mi Sol Accord Majeur x1
- 9. x2 x3 x4 x5 x6 Do Do Sol Do Mi Sol Accord Majeur x7 x1
- 10. 1/7
- 11. Do Mi Sol Do Mi 4 5 Do Sol 2 3
- 12. La gamme Chromatique
- 13. Do Ré Mi Fa Sol La Si Do Do# Mi Fa# Sol Si b b
- 14. Longueur Fréquence F = 1 / L k
- 15. k k 12 = 2 k = 12 √2
- 16. k ( 12 √2) 4 Do Mi Do Sol ( 12 √2) 7
- 17. ( 12 √2) 4 ( 12 √2) 7 4 5 2 3 Do Mi Do Sol
- 18. ( 12 √2) 4 ( 12 √2) 7 4 5 2 3 Do Mi Do Sol
- 19. ( 12 √2) 7 2 3
- 20. ( 12 √2) 4 4 5
- 21. ( 12 √2) 4 1,259921 4 5 1,25 ( 12 √2) 7 1,498307 2 3 1,5
- 22. Fin
Editor's Notes
- #2: Café dune : 18 av. Claude Vellefaux, 75010 Paris Mauna Loa : Vostok : 78°27' S 106°52' E Dome C: 75°06′S 123°20′E .