THE MIRROR METHOD FOR THE PIANO

The book draws on a few common concepts to add colour to the following 7 points:

⁍ The tuning system named 12-TET (12-tone equal temperament) divides tonal range into octaves, each split into 12 equal logarithmic steps — creating 12 distinct pitch classes.
⁍ These 12 tones are labelled as follows: 7 natural (A, B, C, D, E, F, G) and 5 accidental (A♯/B♭, C♯/D♭, D♯/E♭, F♯/G♭, G♯/A♭).
⁍ Repeated across the range, they give rise to 12 tonal domains — within which scales of up to 12 tones can be built using any given pattern.
⁍ A given scale pattern can be transposed to all domains — creating 12 musical milieus specific to that pattern.
⁍ Furthermore, rotations of any particular scale pattern produce a number of scales — all related and belonging to the same milieu, each identified by a tonal centre.
⁍ Rotations of the scale pattern formed by the 7 natural tones (A–B–C–D–E–F–G) produce 7 fundamental scales: Aeolian, Locrian, Ionian, Dorian, Phrygian, Lydian, and Mixolydian — named after ancient Greek regions of Asia Minor.
⁍ To aid memorisation, these scale names are mapped to ROYGBIV — red for Aeolian, orange for Locrian, yellow for Ionian, green for Dorian, blue for Phrygian, indigo for Lydian, and violet for Mixolydian.