159edo/Interval names and harmonies: Difference between revisions
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| This interval... | | This interval... | ||
* Approximates the [[25/16|Classic Augmented Fifth]], and thus... | * Approximates the [[25/16|Classic Augmented Fifth]], and thus... | ||
:* It functions as an Augmented Fifth in Western-Classical-based functional harmony by default, and is | :* It functions as an Augmented Fifth in Western-Classical-based functional harmony by default, and is the signature interval of certain 5-limit Non-Diatonic modes such as Lydian Augmented | ||
:* It is easily very useful when it comes to building chords despite- or perhaps even because of- its dissonance, specifically... | |||
::* It is the basic interval for framing a 5-limit augmented triad, though it can also be used for certain other triads | |||
* Approximates a complex 5-limit interval formed by subtracting a syntonic comma from a Pythagorean Minor Sixth, and thus... | * Approximates a complex 5-limit interval formed by subtracting a syntonic comma from a Pythagorean Minor Sixth, and thus... | ||
:* It can be thought of as a type of sixth when acting in this capacity | :* It can be thought of as a type of sixth when acting in this capacity | ||
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| [[80/51]] | | [[80/51]] | ||
| | | Rkm6, rKuA5 | ||
| | | Wide Subminor Sixth, Lesser Sub-Augmented Fifth | ||
| | | Bbɔ/, At<+ | ||
| | | This interval... | ||
* Approximates the [[80/51|Septendecimal Minor Sixth]] | |||
* Is the closest approximation of 17edo's Minor Sixth 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 | |||
* Is the closest approximation of 31edo's Subminor Sixth 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 | |||
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| 104 | | 104 | ||
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| [[52/33]] | | [[52/33]] | ||
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| | | rm6, KuA5 | ||
| | | Narrow Minor Sixth, Greater Sub-Augmented Fifth | ||
| | | Bb\, At>+, A#ɔ\ | ||
| | | This interval... | ||
* Approximates the [[14/11|Neo-Gothic Minor Sixth]], and thus... | |||
:* Can be used in Western-Classical-based harmony and Neo-Medieval harmony very easily | |||
:* Has additional applications in Paradiatonic harmony, particularly... | |||
::* When it is found in what is otherwise the traditional Diatonic context of a Minor key | |||
* Is one half of this system's approximation of the Tridecimal Submajor Tenth | |||
* Is reachable through stacking eight of this system's approximation of the Axirabian Limma | |||
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