In this article: Golden section and golden rectangles, the harmonic series and the model of its ideal behavior simplified, equal temperament and just intonation and a description of the beat frequency conflict produced by the deviations between simultaneous sounding of harmonic partials and prime frequencies and how it affects the tone and timbre of the guitar.
Arizona classical guitarist Brad Richter just released American Landscapes a week or two ago, and it is already one of my favorite collections of mood setting songs. These pieces, which are mostly meditations on outdoor landscapes that speak to Brad, are perfect for that; they are incredibly detailed and meticulous in their composition and adventurous in their use of new and interesting techniques, so seriously music-minded people have a lot to chew on and digest. If heard just in passing by the casual music fan, however, they just sound incredibly pleasing to the ear.
Brad Richter is a rare bird. He is a classical guitarist, but you will never hear him playing a Bach piece or any Tarrega. Instead he performs solely his own compositions, utilizing techniques few other guitarists use, mostly because he made them up.
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