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Die Tonleiter Und Ihre Mathematik
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Download or read book Mathematik im Reich der Töne written by and published by Springer-Verlag. This book was released on 2013-12-18 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zentrales Anliegen dieses Buches ist es, einen Überblick über den mathematischen Aufbau der Tonleitern nach dem pythagore ischen, dem diatonischen und dem temperierten Stimmungs prinzip zu geben. Die Tonleitern werden in der Reihenfolge ihrer historischen Entwicklung behandelt. Im Zusammenhang mit der pythagoreischen Tonleiter wird auf die philosophischen Lehrmeinungen der Pythagoreer einge gangen und die ideelle Krise aufgezeigt, die in dieser Philo sophenschule als Folge der Widerlegung ihrer Lehren auftrat. Vorzüge und Nachteile der pythagoreischen und diatonischen Tonleitern werden gegeneinander abgewogen. In neuerer Zeit erwuchs aus den Forderungen der musikalischen Praxis nach Modulationsfähigkeit von Instrumenten mit fester Stimmlage das erstmalig von M. Mersenne ausgearbeitete Prinzip der temperierten Stimmung. Nach Durchsetzung der temperierten Tonskala wurde in der Mitte des 19. Jahrhunderts mit der Festlegung der absoluten Schwingungszahlen eine weitere Vor aussetzung für die Internationalisierung des Musiklebens er füllt. Dieses Buch weist auf zahlreiche Querverbindungen zwischen dem mathematischen Aufbau der Tonleitern und der Gestaltung bzw. Konstruktion von Musikinstrumenten hin. Die Begriffe harmonische Schwingung, Resonanz, Schwebung und harmo nische Analyse einer periodischen Schwingung sind gleichfalls Gegenstände der Betrachtung. Die geometrische Schallreflexion an einigen gekrümmten Flächen und die Resonanz werden im Hinblick auf die Raumakustik behandelt. Mit der Erläuterung sowohl des Weber-Fechnerschen Gesetzes als auch des Ohm sehen Gesetzes an Hand von Beispielen und mit der Gegenüber stellung der Verhältniszahlen von Dur-und Moll-Akkord wer den physikalisch-psychische Wechselbeziehungen in die Be trachtungen einbezogen.
Book Synopsis Proportions and Their Music by : Karlheinz Schüffler
Download or read book Proportions and Their Music written by Karlheinz Schüffler and published by Springer Nature. This book was released on with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Catalogue of the Astor Library (continuation) by :
Download or read book Catalogue of the Astor Library (continuation) written by and published by . This book was released on 1886 with total page 1136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Catalogue of the Astor Library by : Astor Library
Download or read book Catalogue of the Astor Library written by Astor Library and published by . This book was released on 1888 with total page 1144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematik und Astronomie Im Klassischen Altertum by : Edmund Hoppe
Download or read book Mathematik und Astronomie Im Klassischen Altertum written by Edmund Hoppe and published by . This book was released on 1911 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An den Grenzen der Wissenschaft by : Pirmin Stekeler-Weithofer
Download or read book An den Grenzen der Wissenschaft written by Pirmin Stekeler-Weithofer and published by . This book was released on 2011 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monatshefte für Mathematik und Physik by :
Download or read book Monatshefte für Mathematik und Physik written by and published by . This book was released on 1931 with total page 1020 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis History of Music Theory, Books I and II by : Hugo Riemann
Download or read book History of Music Theory, Books I and II written by Hugo Riemann and published by . This book was released on 1962 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tonal Pitch Space written by Fred Lerdahl and published by Oxford University Press. This book was released on 2004-12-09 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the foundation of Lerdahl and Jackendoff's influential A Generative Theory of Tonal Music, this volume presents a multidimensional model of diatonic and chromatic spaces that quantifies listeners' intuitions of the relative distances of pitches, chords, and keys from a given tonic. The model is employed to assign prolongational structure, represent paths through the space, and compute patterns of tension and attraction as musical events unfold, thereby providing a partial basis for understanding musical narration, expectation, and expression. Conceived as both a music-theoretic treatise and a contribution to the cognitive science of music, this book will be of interest to music theorists, musicologists, composers, computer musicians, and cognitive psychologists.
Book Synopsis Meyers Hand-Lexikon Des Allgemeinen Wissens: Bd. A-Kyzikos by :
Download or read book Meyers Hand-Lexikon Des Allgemeinen Wissens: Bd. A-Kyzikos written by and published by . This book was released on 1885 with total page 1328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book SoundVisions written by Torsten Möller and published by . This book was released on 2005 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book German Technical Dictionary written by and published by Psychology Press. This book was released on 2004 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its publication in 1995, the German Technical Dictionary has established itself as the definitive resource for anyone who needs to translate technical documents between German and English. This new edition has been substantially revised to reflect the technological environment of the twenty-first century. The revised edition contains over 75,000 entries, of which over 5,000 are new, with many new entries in the areas of: * the Internet and telecommunications * bio-technology and the new genetics * new developments in health technology. Throughout, this dictionary continues to benefit from the features that made the first edition so valuable, including accurate translations in British and American English and an attractive, durable and easy to use layout.
Book Synopsis The Oxford Handbook of Neo-Riemannian Music Theories by : Edward Gollin
Download or read book The Oxford Handbook of Neo-Riemannian Music Theories written by Edward Gollin and published by OUP USA. This book was released on 2011-12-22 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years neo-Riemannian theory has established itself as the leading approach of our time, and has proven particularly adept at explaining features of chromatic music. The Oxford Handbook of Neo-Riemannian Music Theories assembles an international group of leading music theory scholars in an exploration of the music-analytical, theoretical, and historical aspects of this new field.
Book Synopsis Music's Intellectual History by : Zdravko Blažeković
Download or read book Music's Intellectual History written by Zdravko Blažeković and published by Rilm. This book was released on 2009 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: Personalities: music scholars. Personalities: composers. National studies. Encyclopedias. Periodicals. Historiography & its directions
Book Synopsis A Dictionary of the English and German, and the German and English Language by : Joseph Leonhard Hilpert
Download or read book A Dictionary of the English and German, and the German and English Language written by Joseph Leonhard Hilpert and published by . This book was released on 1857 with total page 1196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Dictionary of the English and German Languages by : Joseph Leonhard Hilpert
Download or read book A Dictionary of the English and German Languages written by Joseph Leonhard Hilpert and published by . This book was released on 1831 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diversity in Unity written by Hans Fidom and published by . This book was released on 2002 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
