159edo/Interval names and harmonies: Difference between revisions

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| Fd>, Et>↓
| Fd>, Et>↓
| This interval...
| This interval...
* Approximates a complex 11-limit Paradiatonic interval that is the namesake of 24edo's own Inframinor Third, and as such...
* Approximates a complex 11-limit Paradiatonic interval that functions as a syntactic third that sounds more like a second, and as such...
:* This interval functions as a syntactic third that sounds more like a second
:* It has the potential to move back down to the Supertonic through a diatonic or paradiatonic motion
:* It has the potential to move up towards a Mediant harmony through a parachromatic motion
* Is one fourth of this system's approximation of the Octave-Reduced Seventh Harmonic
* Is one fourth of this system's approximation of the Octave-Reduced Seventh Harmonic
* Is the closest approximation of 10edo's Major Second slash Minor Third, and thus...
* Is the closest approximation of 10edo's Major Second slash Minor Third, and thus...
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| Wide Inframinor Third, Narrow Ultramajor Second, Semifourth
| Wide Inframinor Third, Narrow Ultramajor Second, Semifourth
| Fd>/, Et<\, F↓↓, E↑↑
| Fd>/, Et<\, F↓↓, E↑↑
| This interval is particularly likely to be used as a cross between an Ultramajor Second and an Inframinor Third; furthermore, as the name "Semifourth" suggests, this interval is one half of a Perfect Fourth, and used in exactly the same way as 24edo's own Semifourth, right down to the [[Low-complexity JI|low-complexity]] [[13-limit]] interpretation.
| This interval...
* Approximates the [[15/13|Tridecimal Semifourth]], and thus...
:* It can be used both in triads framed by a Perfect Fourth and in triads Framed by a Perfect Fifth
* Is one half of a Perfect Fourth in this system
* Is the closest approximation of 24edo's Semifourth, 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
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| Ultramajor Second, Narrow Subminor Third
| Ultramajor Second, Narrow Subminor Third
| Et<, Fd<↑
| Et<, Fd<↑
| The 11-limit ratio this interval approximates is the namesake of 24edo's own Ultramajor Second; however, in a higher-fidelity system such as this, one will notice that this is a syntactic second that sounds more like a third.
| This interval...
* Approximates a complex 11-limit Paradiatonic interval that functions as a syntactic second that sounds more like a third, and as such...
:* It has the potential to move back down to the Supertonic through a parachromatic motion
:* It has the potential to move up towards a Mediant harmony through a diatonic or paradiatonic motion
* Is one third of this system's approximation of the Classic Augmented Fifth
* Is reachable through stacking two of this system's approximation of the Tridecimal Supraminor Second
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