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More resources
The 7 symmetries of the Aeolian scale Mirror tone = D
A looped animation highlighting the mirroring patterns of the Aeolian scale—with D as the mirroring tone. The same patterns appear when F♯ is the mirroring tone. View
The Fundamental Scales
A minimalist overview of the tuning system, illustrating the 12 tones, the 7 fundamental scales derived from The Natural Scale pattern, and a matrix of the resulting scale system — here named The Matrix of Fifths.
The Fundamental Chords
A conceptual overview of the 7 fundamental scales along with their tonic chords, and a fixed solfege variation that maps to specific chord qualities.
The Fundamental Patterns
A looped animation of the 12 fundamental keyboard patterns following the reversed row order of The Matrix of Fifths, presented in a fixed perspective. View
Play-along Playlists
A small collection of curated tracks to play along with, helping you become familiar with each of the 12 milieus of The Natural Scale.
- [ 0] Music under the no-sharp-or-flat-keys signature
- [ 1] Music under the one-sharp-key signature
- [ 2] Music under the two-sharp-keys signature
- [ 3] Music under the three-sharp-keys signature
- [ 4] Music under the four-sharp-keys signature
- [ 5] Music under the five-sharp-keys signature
- [ 6] Music under the six-sharp-keys signature
- [ 7] Music under the five-flat-keys signature
- [ 8] Music under the four-flat-keys signature
- [ 9] Music under the three-flat-keys signature
- [10] Music under the two-flat-keys signature
- [11] Music under the one-flat-keys signature
Bonus Playlists
Additional musical examples to help you understand advanced techniques such as modulation and pitch shifting.
The Logarithmic Spiral
A visualization of the scale pattern mapped onto the specific type of logarithmic spiral that the 12-TET tuning system is based on. Static Rotative