Introduction to Pitch Systems in Tonal Music: Temperaments, Roots of 2, and Conclusions

Temperaments, Roots of 2, and Conclusions

This final presentation shows why the tonal systems needs 12 pitches, defines temperament as it is applied to tuning systems, shows the mathematics and sound of Equal Temperament, and compares 12 tone Equal Temperament to the tuning systems already explored in this series. The compromises inherent in Equal Temperament are explored and the idea of building new tuning systems is demonstrated using a synthesizer that will play any tuning based on the roots of two.