159edo/Interval names and harmonies: Difference between revisions

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Reached the Paramajor Fifth
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| This Interval...
| This Interval...
* Approximates the [[32/21|Septimal Superfifth]], and thus...
* Approximates the [[32/21|Septimal Superfifth]], and thus...
:* Is really useful for forming unexpected chords with a false fifth
:* Is really useful for forming unexpected chords in place of a normal fifth
* Is the closest approximation of 31edo's own Superfifth found in this system, and thus...
* Is the closest approximation of 31edo's own Superfifth found in this system, and thus...
:* Can be used in melodic and harmonic gestures reminiscent of those found in that system, albeit with caveats, since such moves on their own don't work the exact same way in this system
:* Can be used in melodic and harmonic gestures reminiscent of those found in that system, albeit with caveats, since such moves on their own don't work the exact same way in this system
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| ?
| ?
| ?
| ?
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| um6, RkM5
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| Inframinor Sixth, Wide Acute Fifth
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| At>ɔ, Bdb>
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| This interval...
* Approximates a complex 11-limit Paradiatonic interval that functions as a syntactic sixth that sounds more like a fifth, and as such...
:* It has the potential to move back down to the Interregnant harmony through Paradiatonic motion
:* It has the potential to move up to a Contramediant harmony through a type of Chromatic or Parachromatic semitone motion
* Is the closest approximation of 13edo's Major Fifth found in this system, and thus...
:* Can be used in Warped Diatonic gestures reminiscent of those found in that system, albeit with caveats, since such moves on their own don't work the exact same way in this system
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| 99
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| [[20/13]]
| [[20/13]]
| ?
| ?
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| Rm4, KKM3, rUM3
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| Narrow Paramajor Fifth, Wide Inframinor Sixth
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| At<\, Bbɔɔ, A++
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| This interval...
* Approximates the [[20/13|Tridecimal Semitenth]]
* Is the closest approximation of 24edo's Paramajor Fifth, and thus...
:* Is capable of being used in certain similar melodic and harmonic gestures, albeit with caveats, since such moves on their own don't work the exact same way in this system
* Is very useful for essentially tempered chords such as island chords
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| ?
| ?
| [[17/11]]
| [[17/11]]
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| m4, RkUM3
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| Paraminor Fourth, Wide Supermajor Third
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| At<, Bdb<+
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| This interval...
* Approximates the [[99/64|Just Paramajor Fifth]], and as such...
:* Although it is not found on the Paradiatonic scale, it is nevertheless readily serves as one of the key Parachromatic intervals in Western-Classical-based Parachromatic functional harmony, since...
::* It functions as a Misodominant due to its dissonance and its properties relative to the Diatonic scale
::* It has the potential to move back down to the Tonic harmony through a Paradiatonic motion
::* It has the potential to move back down towards a Dominant harmony through a Parachromatic quatertone-type motion
::* It has the potential to move back down towards an Interregnant harmony through a Parachromatic semitone-type motion, with this move granting additional follow-up options
* Follows after the pattern of inframinor and ultramajor intervals sounding like members of the adjacent interval classes- specifically, the paramajor fifth sounds more like a sixth than a fifth
* Is the closest approximation of 19edo's Augmented Fifth found in this system, and thus...
:* Is capable of being used for similar modulatory moves, albeit with caveats, since such moves on their own don't work the exact same way in this system
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