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The 12-TET Tuning System
The Fundamental Intervals
A simple diagram illustrating the intervals within the octave.
Various scale systems
A simple comparison of the slightly different interval patterns of three main scale systems—here named Western, Balkan, and Byzantine.
The Natural Scale
A minimalist overview of the scale system derived from the 7 natural tones pattern, including the corresponding matrix of the resulting 84 scales.
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 7 Triads
A conceptual overview of the seven fundamental chords, and a fixed solfege variation that maps to specific diatonic chords.
The Fundamental Patterns
A looped animation of the 12 keyboard patterns of the Western Scale System, presented in a fixed perspective. View
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
Spotify Playlists
Play-along Tracks
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 Tracks
Additional musical examples to help you understand advanced techniques such as modulation and pitch shifting.