EXCELLENT — The Mathematical Problem with Music, and How to Solve It — “Performance is an art of compromise” – Temperament, timbre, intonation, tuning, voice, tone

Equal Temperament purpose — Divide octave into 12 equal intervals (ratios) to facilitate octave transposition on keyed / digital / discrete instruments.   VIDEO DESCRIPTION / NOTES   There is a serious mathematical problem with the tuning of musical instruments. A problem that even Galileo, Newton, and Euler tried to solve. This video is about … Read more