Nick Vuci's Fundamentals of Xen: Difference between revisions
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The four pillars of Xen theory are: | The four pillars of Xen theory are: | ||
With EDOs, MOS, and temperaments, it’s important to know that although these concepts are | * Just Intonation (JI) | ||
* Equal Divisions of the Octave (EDO) | |||
* Moments of Symmetry (MOS) | |||
* Temperaments | |||
With EDOs, MOS, and temperaments, it’s important to know that although these concepts are presented within a unified context, they exist as modular components. | |||
== Just Intonation (JI) == | == Just Intonation (JI) == | ||
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=== Lattices === | === Lattices === | ||
Lattices are another way to visualize JI: [[File:Wilsonic lattice.mp4|thumb|Wilsonic | Lattices are another way to visualize JI: [[File:Wilsonic lattice.mp4|thumb|Wilsonic Lattice|none]] | ||
=== Conclusion === | === Conclusion === | ||
In essence, JI is when intervals can be defined as frequencies that align and form whole number ratios. The tonality diamond is the conceptual layout of an odd-limit. | In essence, JI is when intervals can be defined as frequencies that align and form whole number ratios. The tonality diamond is the conceptual layout of an odd-limit. | ||
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== Tonnetz == | == Tonnetz == | ||
[[File:Tonnetz Lattice.png|thumb|Tonnetz Lattice]] | [[File:Tonnetz Lattice.png|thumb|Tonnetz Lattice|none]] | ||
A nice way to lay out chord progressions is through a tonnetz lattice. Tonnetz originates from Neo-Riemannian Music Theory and the Mathematical toys of figures like Euler. [https://generalizedtonnetz.nickvuci.com/ Play with Vuci’s Generalized Tonnetz here]. 1. Input the EDO, here we do 12edo 2. Input the intervals for a minor triad, X: 7, Y: 3 3. For the diatonic scale, input the relative scale degrees in the drop down as “2,2,2,1,2,2,1” (which is MOS 5L 2s 2:1) 4. Highlight “0” if you want to 5. Input the minor triad for the red chord overlay: 0,3,7 6. Input the major triad for the blue chord overlay: 0,4,7 7. Then click on triangles and try out that progression in your DAW. | A nice way to lay out chord progressions is through a tonnetz lattice. Tonnetz originates from Neo-Riemannian Music Theory and the Mathematical toys of figures like Euler. [https://generalizedtonnetz.nickvuci.com/ Play with Vuci’s Generalized Tonnetz here]. 1. Input the EDO, here we do 12edo 2. Input the intervals for a minor triad, X: 7, Y: 3 3. For the diatonic scale, input the relative scale degrees in the drop down as “2,2,2,1,2,2,1” (which is MOS 5L 2s 2:1) 4. Highlight “0” if you want to 5. Input the minor triad for the red chord overlay: 0,3,7 6. Input the major triad for the blue chord overlay: 0,4,7 7. Then click on triangles and try out that progression in your DAW. | ||
== Where to go next == | |||
The articles linked on the [[General theory]] page expand upon these concepts. | |||
[[Xen concepts for beginners]] and the other articles linked in the [[Guides]] page might also of use. | |||
[[Category:Essays]] | |||
[[Category:Guides]] | |||