Nick Vuci's Fundamentals of Xen: Difference between revisions

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=== Lattices ===

Lattices are another way to visualize JI: [[File:Wilsonic lattice.mp4|thumb|Wilsonic ~~lattice~~|none]]

Lattices are another way to visualize JI: [[File:Wilsonic lattice.mp4|thumb|Wilsonic Lattice|none]]

=== 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.

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== 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.

@@ Line 50: / Line 50: @@
 === Lattices ===
-Lattices are another way to visualize JI: [[File:Wilsonic lattice.mp4|thumb|Wilsonic lattice|none]]
+Lattices are another way to visualize JI: [[File:Wilsonic lattice.mp4|thumb|Wilsonic Lattice|none]]
 === 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.
@@ Line 124: / Line 124: @@
 == 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.