New PDF release: A Natural History of the Piano: The Instrument, the Music,

By Stuart Isacoff

ISBN-10: 0307279332

ISBN-13: 9780307279330

A desirable party of the piano, together with stories of its masters from Mozart and Beethoven to Oscar Peterson and Jerry Lee Lewis, informed with the services of composer and writer of Temperament, Stuart Isacoff.
 
This background takes us again to the piano's humble genesis as an easy keyboard, and exhibits how each person from Ferdinando de’ Medici to Herbie Hancock affected its evolution of sound and effect in renowned song. offering the software that has been on the center of musical improvement over the centuries in all its attractiveness and complexity, this explores the piano’s services and the diversity of emotional expression it conveys in numerous artists’ palms. A ordinary heritage of the Piano is fast paced and interesting, with appealing illustrations and pictures, a must-read for track fans and pianists of each level. 

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Additional info for A Natural History of the Piano: The Instrument, the Music, the Musicians--from Mozart to Modern Jazz and Everything in Between

Example text

4 In the next section, we will describe how the chromatic scale provides the basis for the most commonly used major scales in Western music. In contrast to the just scale, major scales beginning with different notes are perfectly consistent when the 12-tone equal-tempered system is used. 2 is included to emphasize the fact that the notes in each octave are all generated by the same frequency ratios, relative to the initial note C. Using r = 21/12 , and νo for the frequency of the C note that begins an octave, the frequencies of each note in that octave have this 3 There are other chromatic scales besides the 12-tone equal-tempered scale, but we will not discuss them in this book.

A) We have 1000 = 103 , so log10 1000 = 3. (b) We have 16 = 24 , so log2 16 = 4. 01 = −2. (d) We have 243 = 35 , so log3 243 = 5. 1. Base 10 logarithms. The logarithm, base 10, is known as the common logarithm. It is also denoted by log, without the base subscript. 01 = −2. We are now prepared to state the change of base formula referred to above. We will state it in the form that we will need in our applications, rather than in its most general form. 1. Change of Base Formula. For every positive number x, the quantity logb x satisfies logb x = log x .

If one starts on the fourth note of the C-major scale, then the notes are in Lydian mode: F G A B C D E F This scale is called F-Lydian. If one starts on the fifth note of the C-major scale, then the notes are in Mixolydian mode: G A B C D E F G. This scale is called G-Mixolydian. We will not be dealing extensively with modes in this book. These three modes should suffice to illustrate the idea. Their significance will be clearer once we describe chords and chord progressions in Chapter 3. Here are a few exercises that relate these modes to our clock arithmetic method.

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A Natural History of the Piano: The Instrument, the Music, the Musicians--from Mozart to Modern Jazz and Everything in Between by Stuart Isacoff


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