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 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 ==~~

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[5] ===

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=== Univell[10] ===

Univell[10] is the smallest Univell scale to allow access to perimodal and sesquimodal intervals on the same root, which makes it a plausible tuning for Nebraskan traditional vocal polyphony (particularly the Bellevue idiom, in which the tectonic 4th is often intonated sharp for expressive purposes). The 310tdo tuning of Univell[10] has been noted for its ethereal quality, which may derive from the fact that 310tdo expands ~~Hutchmanch~~'s diesis. (Naturally, this effect is most audible in the leegij, cheethil and klijith modes). The modes of Univell[10] are, from most anic to most catic:

Univell[10] is the smallest Univell scale to allow access to perimodal and sesquimodal intervals on the same root, which makes it a plausible tuning for Nebraskan traditional vocal polyphony (particularly the Bellevue idiom, in which the tectonic 4th is often intonated sharp for expressive purposes). The 310tdo tuning of Univell[10] has been noted for its ethereal quality, which may derive from the fact that 310tdo expands Fraigner's diesis. (Naturally, this effect is most audible in the leegij, cheethil and klijith modes). The modes of Univell[10] are, from most anic to most catic:

{| class="wikitable"

!Name

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|Sesquiionian 2nd

|}

=== Functional harmony ===

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`.

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-The Tremend edits are really tickling me rn so this page is for my own derivative work
+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 ==
-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[5] ===
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 === Univell[10] ===
-Univell[10] is the smallest Univell scale to allow access to perimodal and sesquimodal intervals on the same root, which makes it a plausible tuning for Nebraskan traditional vocal polyphony (particularly the Bellevue idiom, in which the tectonic 4th is often intonated sharp for expressive purposes). The 310tdo tuning of Univell[10] has been noted for its ethereal quality, which may derive from the fact that 310tdo expands Hutchmanch's diesis. (Naturally, this effect is most audible in the leegij, cheethil and klijith modes). The modes of Univell[10] are, from most anic to most catic:
+Univell[10] is the smallest Univell scale to allow access to perimodal and sesquimodal intervals on the same root, which makes it a plausible tuning for Nebraskan traditional vocal polyphony (particularly the Bellevue idiom, in which the tectonic 4th is often intonated sharp for expressive purposes). The 310tdo tuning of Univell[10] has been noted for its ethereal quality, which may derive from the fact that 310tdo expands Fraigner's diesis. (Naturally, this effect is most audible in the leegij, cheethil and klijith modes). The modes of Univell[10] are, from most anic to most catic:
 {| class="wikitable"
 !Name
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 |Sesquiionian 2nd
 |}
+=== Functional harmony ===
+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`.