User:CellularAutomaton/Univell: Difference between revisions

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The Tremend edits are really tickling me rn so this page is for my own derivative work
== Univell ==
Univell is a family of 3-web circumtrusive scales which divide the haptic ninth into 5 equally sized cells. As such, Univell scales map the armatic tetrachord to an odd number of exponents per octave. Each Univell scale has a corresponding anthill scale derived from the adination of its torus basis in P-symmetrical just intonation. Although there are a theoretically infinite number of Univell scales, the only authentically-correlative Univell scales are those with 5, 10, 22, 27, 32, 54 or 59 notes per octave.
Univell is a family of 3-web circumtrusive scales which divide the haptic ninth into 5 equally sized cells. As such, Univell scales map the armatic tetrachord to an odd number of exponents per octave. Each Univell scale has a corresponding anthill scale derived from the adination of its torus basis in P-symmetrical just intonation. Although there are a theoretically infinite number of Univell scales, the only authentically-correlative Univell scales are those with 5, 10, 22, 27, 32, 54 or 59 notes per octave.


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=== Functional harmony ===
=== Functional harmony ===
The tetrad formed by the root, armatic fourth and fifth, and legric ninth (ambisplit notation: !R $Q, bilayer tariant: / 33 24e 31e /), called the Doublebrie tetrad, is an important consonant chord which is characteristic of Univell. The Salmon mode of Univell[5] is the smallest scale to contain a Doublebrie tetrad on the root. Cadences to the Doublebrie tetrad tend to involve a rasigon contracting to create an armatic fifth. One common example is L ~T -> !R $Q, where the rasigon between `V and ``X contracts to an armatic fifth between V and C`.
The tetrad formed by the root, armatic fourth and fifth, and legric ninth (ambisplit notation: !R $Q, bilayer tariant: / 0 33 24e 31e /), called the Doublebrie tetrad, is an important consonant chord which is characteristic of Univell. The Salmon mode of Univell[5] is the smallest scale to contain a Doublebrie tetrad on the root. Cadences to the Doublebrie tetrad tend to involve a rasigon contracting to create an armatic fifth. One common example is L ~T -> !R $Q, where the rasigon between `V and ``X resolves to an armatic fifth between V and C`.