Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psycho acoustics, the history of ...

Learn how to play the Aeolian or natural minor scale in A.Learn all the scale patterns on different positions on the guitar neck, and how to switch positions fast.- Natural minor scale in A explained- Different positions on the neck- Guitar neck explained- I - IV - V explained- Practice exercisesAvailable in this series:How to read guitar tabs and tablatureHow to play the blues scale in E minorHow to play the E pentaton...

What is missing in most curricula - from elementary school all the way through to university education - is coursework focused on the development of problem-solving skills. Most students never learn how to think about solving problems. Besides being a lot of fun, a puzzle-based learning approach also does a remarkable job of convincing students that (a) science is useful and interesting, (b) the basic courses they take are relevant, (c) mathematics is not that scary (no need to hate it!), ...

What is it about the music you love that makes you want to hear it again? Why do we crave a "hook" that returns, again and again, within the same piece? And how does a song end up getting stuck in your head? Whether it's a motif repeated throughout a composition, a sample looped under an electronic dance beat, a passage replayed incessantly by a musician in a practice room-or an "earworm" burrowing through your mind like a broken record-repetition is nearly as integral to music as the note...

Setting opera within a variety of contexts - social, aesthetic, historical - Lindenberger illuminates a form that has persisted in recognizable shape for over four centuries. The study examines the social entanglements of opera, for example the relation of Mozart's Abduction from the Seraglio and Verdi's Il trovatore to its initial and later audiences. It shows how modernist opera rethought the nature of theatricality and often challenged its viewers by means of both musical and theatrical...

Most works of art, whether illustrative, musical or literary, are created subject to a set of constraints. In many (but not all) cases, these constraints have a mathematical nature, for example, the geometric transformations governing the canons of J. S. Bach, the various projection systems used in classical painting, the catalog of symmetries found in Islamic art, or the rules concerning poetic structure. This fascinating book describes geometric frameworks underlying this constraint-base...

Why does a piano sound like a piano? A similar question can be asked of virtually all musical instruments. A particular note-such as middle C-can be produced by a piano, a violin, a clarinet, and many other instruments, yet it is easy for even a musically untrained listener to distinguish between these different instruments. A central quest in the study of musical instruments is to understand why the sound of the "same" note depends greatly on the instrument, and to elucidate which aspects...

Statisticians and philosophers of science have many common interests but restricted communication with each other. This volume aims to remedy these shortcomings. It provides state-of-the-art research in the area of philosophy of statistics by encouraging numerous experts to communicate with one another without feeling "restricted by their disciplines or thinking "piecemeal in their treatment of issues. A second goal of this book is to present work in the field without bias toward any parti...

The concept of «musica mathematica*»* seeks to accurately examine the intersection of two seemingly radically different subject areas. From the perspective of a European perception, the definition of the science of music was a result of the Pythagorean concept of universal harmony. The Pythagoreans were the first in European culture to raise the issue of uniting music and mathematics, sound and number.In the three parts of the monograph, versatile cases of the intersection of music...

The term 'Jewish music' has conveyed complex and diverse meanings for people around the world across hundreds of years. This accessible and comprehensive Companion is a key resource for students, scholars, and everyone with an interest in the global history of Jewish music. Leading international experts introduce the broad range of genres found in Jewish music from the biblical era to the present day, including classical, religious, folk, popular, and dance music. Presenting a range of fre...

Bach and Tuning is strictly concerned with the identification of a historically accurate tuning paradigm that applies to the great majority of Johann Sebastian Bach’s music. Once Bach has his personal tuning aesthetic acknowledged, a new dimension of meaning is invoked in performance through the intended interplay of diverse musical intervals. This new narrative lays bare Bach’s mental calculations regarding his idealized intonation. Bach, the true chromatic composer of the Baroqu...

Teach how to play keyboard for kids with our easy keyboard lessons for kids.***Comes with online access to free keyboard videos and audio demonstrating all examples. See and hear how each one is played by a teacher, then play along with the backing band. Also includes music score and keyboard animation for easy music learning.***"This is a great beginner book! [The video] has completely held my five-year-old's interest because he is so eager to learn ho...