... and explanation without intent to infringe. Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com To Angela Contents Preface About the Authors 1 Pitch, Frequency,
The new edition of this popular text is more accessible for students with limited musical backgrounds and only high school mathematics is required.
Musically, the student should have had some exposure to musical staffs, standard clefs, and key signatures, though all of these are explained in the text.
Along with helping students master some fundamental mathematics, this book gives them a deeper appreciation of music by showing how music is informed by both its mathematical and aesthetic structures.
Berlin: Heldermann 1985 Mazzola, G.: Geometrie der Töne. Basel: Birkhäuser 1990 Mazzola, G.: presto Software Manual. Zürich: STOA music 1989–1994 Mazzola, G.: Synthesis. Zürich: STOA music 1990 Mazzola, ...
The logic takes modalities , such as necessary ( □ ) , and possible ( ◊ ) as operations on musical propositions ( p , q , ... ) in the temporal domain . The propositions stand for any kind of conceptualization of heard music .
This text explores the many links between mathematics and different genres of music. It requires only high school mathematics. The new edition offers many updates, including several new sections.