"Ricardo M. Forno" wrote:
2) By the rules of harmony, which are simple and verifiable by anyone.
Indeed are quite mathematical!
A fifth, a major third, a fourth, a minor third, etc. are all consonant because the the frequencies ratios are fractions composed of small numbers and so they generate less interference sounds (it is more complex than that, but the complete theory does not fit in the margin
I once created an impressive (to me, anyway) demonstration of that. I plugged my synthesizer into the Y channel of an Oscope and plugged a frequency generator into the X channel. This allowed me to create Lassiju (sp?) patterns. The more "harmonic" intervals made simple patterns (identical notes create a straight line!), while the more "jazzy" patterns made more complex patterns. -- |_ CJSonnack <Chris@Sonnack.com> _____________| How's my programming? | |_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL | |_____________________________________________|_______________________|