This document lists some of the resources used to understand the theory behind this work and other useful links.
- Why There are Twelve Notes in Music: https://www.youtube.com/watch?v=IT9CPoe5LnM
- an octave is an interval with a frequency ratio of 2:1 (e.g. A4 and A5)
- a perfect fifth is an interval with a frequency ratio of 3:2
- the Pythagorean tuning uses the 3:2 ratio
- the Equal temperament divides the octave in 12 equal steps
- if we build a scale by using a 3:2 ratio, the frequencies for the octaves don't match an exact 2:1 ratio
- therefore, the equal temperament is now commonly used in Western music
- Mathematics of musical notes: https://www.youtube.com/watch?v=Q-0wBlkjGQo
- Size of intervals used in different tuning systems
- List of meantone intervals
- List of pitch intervals
- The Scale Omnibus
- All about musical scales - A complete guide: https://www.youtube.com/watch?v=Vq2xt2D3e3E
- The circle of 12 tones: http://www.ronjarzombek.com/rj12tone.html