159edo/Interval names and harmonies: Difference between revisions
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* 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... | ||
:* 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 | :* 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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:* It is a staple interval of the Western-Classical based Paradiatonic scale in this system | :* 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 Thirds in Western-Classical-based Paradiatonic functional harmony, and thus... | :* It serves as the smaller and more consonant of two Neutral Thirds in Western-Classical-based Paradiatonic functional harmony, and thus... | ||
::* Has the potential to move to the Perfect Fourth through a Paradiatonic "narrow whole | ::* Has the potential to move to the Perfect Fourth through a Paradiatonic "narrow whole tone" motion | ||
::* Has the potential to move to the Lesser Subminor Third through a type of Chromatic 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... | * Is the closest approximation of 24edo's own Neutral Third in this system, and thus... | ||
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:* 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 | :* 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 serves as the larger and more dissonant of two Neutral Thirds in Western-Classical-based Paradiatonic functional harmony, and thus... | :* It serves as the larger and more dissonant of two Neutral Thirds in Western-Classical-based Paradiatonic functional harmony, and thus... | ||
::* Has the potential to move to the | ::* Has the potential to move to the Perfect Fourth through a Paradiatonic "wide semitone" motion | ||
::* Has the potential to move to the Lesser Subminor | ::* Has the potential to move to the Lesser Subminor Third through a type of Chromatic semitone motion | ||
* Is one half of this system's approximation of the Septendecimal Fifth, which is a a possible generator for this system's Superpyth scale | * Is one half of this system's approximation of the Septendecimal Fifth, which is a a possible generator for this system's Superpyth scale | ||
* Is the closest approximation of 17edo's Neutral Third found in this system, and thus... | * Is the closest approximation of 17edo's Neutral Third found in this system, and thus... | ||
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| Lesser Submajor Third, Retroptolemaic Diminished Fourth | | Lesser Submajor Third, Retroptolemaic Diminished Fourth | ||
| Ft>/, F#↓↓, Gb↓ | | Ft>/, F#↓↓, Gb↓ | ||
| | | This interval | ||
* Approximates the [[16/13|Greater Tridecimal Neutral Third]] or Octave-Reduced Thirteenth Subharmonic, and as such... | |||
:* Is ostensibly one of the easiest 13-limit thirds to utilize in chords framed by either a Grave Fifth or an Acute Fifth | |||
* Is one third of this system's approximation of the Classic Major Seventh | |||
* Is the closest approximation of 10edo's Major Third, 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 | |||
* Is found in 53edo as that system's Submajor Third, and can thus be used to create identical-sounding melodic and harmonic gestures in this system | |||
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| ? | | ? | ||
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| | | [[26/21]] | ||
| 68/55 | | 68/55 | ||
| Kn3, Rkd4 | | Kn3, Rkd4 | ||
| Greater Submajor Third, Artoretromean Diminished Fourth | | Greater Submajor Third, Artoretromean Diminished Fourth | ||
| Ft<↑, Gb↓/ | | Ft<↑, Gb↓/ | ||
| | | This interval... | ||
* Approximates the [[26/21|Tridecimal Submajor Third]] and a similar 11-limit interval that acts as the Submajor counterpart to the Undecimal Supraminor Third, and thus... | |||
:* Serves as the fourth complement to this system's approximation of the Tridecimal Supraminor Second | |||
* Is one third of this system's approximation of the Pythagorean Major Seventh | |||
* Is the closest approximation of 13edo's Minor Third 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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| ? | | ? | ||
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| | | [[21/13]] | ||
| 55/34 | | 55/34 | ||
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