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Definition of Improvisation
Improvisation versus Composition
Mistakes and Improvisation
Scientific Investigations of Improvisation
Internet Resources on Improvisation
- Bill Evans liner notes for "Kind of Blue" explaining the nature of improvisation in both solo and group performances.
- Improviser's Toolkit at Soundfly.
- "Music Improvisation using Creativity + Music Theory: The Art & Science of Making Your Own Music" by Dr. Craig Rusbult, Ph.D. in Education from UW-Madison. Dr. Rusbult writes on the physics and physiology of harmony and the mathematics of music. He explains the relationships between musical factors in improvisation and composition by combining science and art with musical theory and creativity. He proves that most music, both improvised and composed, is based on the mathematical harmonies, sequential and simultaneous, that are the reason for the necessity of scales and chords in music (theory).
- Wikipedia on musical improvisation
- "The Mathematics of Musical Harmony" by Dr. Craig Rusbult, Ph.D. in Education from UW-Madison.