159edo/Interval names and harmonies: Difference between revisions
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| This interval... | | This interval... | ||
* Is one half of this system's approximation of the Classic Minor Third | * Is one half of this system's approximation of the Classic Minor Third | ||
* Is the closest approximation of | * Is the closest approximation of 31edo's own Middle Second 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 | ||
* Is found in 53edo as that system's Submajor Second, and can thus be used to create identical-sounding melodic and harmonic gestures in this system | * Is found in 53edo as that system's Submajor Second, and can thus be used to create identical-sounding melodic and harmonic gestures in this system | ||
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* Approximates a complex 5-limit interval formed by subtracting a syntonic comma from a Pythagorean Minor Third, and thus... | * Approximates a complex 5-limit interval formed by subtracting a syntonic comma from a Pythagorean Minor Third, and thus... | ||
:* It can be thought of as a type of third when acting in this capacity | :* It can be thought of as a type of third when acting in this capacity | ||
* Is the closest approximation of 22edo's Lesser Minor Third in this system, and thus... | |||
:* Can be used in Superpyth-based 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 Third found in this system, and thus... | * Is the closest approximation of 31edo's Subminor Third found in this system, 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 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 | ||
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| This interval... | | This interval... | ||
* Approximates the [[6/5|Classic Minor Third]], and as such... | * Approximates the [[6/5|Classic Minor Third]], and as such... | ||
:* Is one of the staples of both melodic and harmonic motion in general | :* Is one of the staples of both melodic and harmonic motion in general, and in particular... | ||
::* It is a staple interval in Western-Classical-based Diatonic scales | |||
:* Readily occurs as the distance between two notes in a single chord in Western-Classical-based polypedal harmony | :* Readily occurs as the distance between two notes in a single chord in Western-Classical-based polypedal harmony | ||
:* It differs from the Ptolemaic Minor Third in that... | :* It differs from the Ptolemaic Minor Third in that... | ||
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:* Is very useful for essentially tempered chords such as [[273/272|tannic chords]] | :* Is very useful for essentially tempered chords such as [[273/272|tannic chords]] | ||
* Is reachable through stacking three of this system's approximation of the Classic Minor Second | * Is reachable through stacking three of this system's approximation of the Classic Minor Second | ||
* Is the closest approximation of the 7edo Third 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 found in 53edo as that system's Supraminor Third, and can thus be used to create identical-sounding melodic and harmonic gestures in this system | * Is found in 53edo as that system's Supraminor Third, and can thus be used to create identical-sounding melodic and harmonic gestures in this system | ||
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| Artoneutral Third, Lesser Sub-Diminished Fourth | | Artoneutral Third, Lesser Sub-Diminished Fourth | ||
| Ft<, Gdb<↑ | | Ft<, Gdb<↑ | ||
| | | This interval... | ||
* Approximates the [[11/9|Alpharabian Artoneutral Third]], which is the traditional, low complexity Undecimal Neutral Third, and as such... | |||
:* Can occur as the distance between two notes in a single chord in Western-Classical-based polypedal harmony, though this causes dissonance, and thus requires resolution | |||
:* It is a staple interval of the Western-Classical based Paradiatonic scale in this system | |||
:* It serves as the smaller and more consonant of two Neutral Seconds in Western-Classical-based Paradiatonic functional harmony, and thus... | |||
::* Has the potential to move to the Perfect Fourth through a Paradiatonic "wide semitone" motion | |||
::* Has the potential to move to the Lesser Subminor Third through a type of Chromatic semitone motion | |||
* Is the closest approximation of 24edo's own Neutral Third in this system, and thus... | |||
:* Follows similar interval arithmetic logic in relation to Pythagorean intervals, albeit with caveats, since the rastma is not tempered out | |||
:* 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 own Middle Third in this system, and thus... | |||
:* Can be used in melodic and harmonic gestures reminiscent of those found in that system, albeit with caveats, since the rastma is not tempered out | |||
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| Tendoneutral Third, Greater Sub-Diminished Fourth | | Tendoneutral Third, Greater Sub-Diminished Fourth | ||
| Ft>, Gdb>↑ | | Ft>, Gdb>↑ | ||
| As one of two neutral seconds in this system, this interval is notable for being one half of a possible generator for this system's superpyth scale. | | This interval... | ||
As one of two neutral seconds in this system, this interval is notable for being one half of a possible generator for this system's superpyth scale. | |||
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| 48 | | 48 | ||