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 this problem … Read more

How Eighteenth Century Piano Tuners Heard Major 3rds — 18th Century Aesthetics

Eben Goresko presents a Temperament Recital at the Philadelphia Museum of Art in 2000 where he demonstrates the usefulness and artfulness of tuning modern pianos in historic intonations to augment performances of Beethoven, Chopin, Brahms, Schubert, Bach, Mozart and other so called “equal temperament” composers. https://www.youtube.com/watch?v=7uCu5pTBzbU