Titre: Der Klang als Formel: Ein mathematisch-musikalischer Streifzug (German Edition)
�diteur: Walter de Gruyter
Date de parution: 2011
Langue: allemand
ISBN � 10 chiffres: 3486705423
ISBN � 13 chiffres: 9783486705423
Reliure: Couverture rigide
�dition: 2�me �dition
�tat de l'article: New

A propos de ce titre

Synopsis

Das Buch verfolgt die Entwicklung des Tonsystems seit dem griechischen Altertum in mathematischer Sicht. Themen sind u.a. das Verh�ltnis der gleichschwebenden Temperatur zur reinen Stimmung und das Tonartencharakteristiken-Problem. Und warum gibt es eigentlich keine 13-Ton-Musik? Die Obertonreihe der Saite, der verschiedenen Pfeifen, und der Pauke wird aus der Wellengleichung und den jeweiligen Randbedingungen hergeleitet. Den Klang bestimmen die Anfangswerte, und damit der K�nstler. F�r die Pauke sind die Besselfunktionen verantwortlich. Vom Autor berechnete Klangfiguren und Amplituden-Diagramme veranschaulichen den Sachverhalt. Bei aller Mathematik schl�gt das Buch eine Br�cke zur Musik in kulturgeschichtlichem Zusammenhang.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

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