159edo/Interval names and harmonies: Difference between revisions
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* Is one half of this system's approximation of the Octave-Reduced Seventeenth Harmonic | * Is one half of this system's approximation of the Octave-Reduced Seventeenth Harmonic | ||
* Is one fifth of this system's approximation of the Septimal Subminor Third | * Is one fifth of this system's approximation of the Septimal Subminor Third | ||
* Is the closest approximation of 22edo's own Minor Second in this system, and thus... | * Is the closest approximation of [[22edo]]'s own Minor Second in this system, and thus... | ||
:* Is capable of being used in certain similar melodic and harmonic gestures, albeit with caveats, since the biyatisma is not tempered out | :* Is capable of being used in certain similar melodic and harmonic gestures, albeit with caveats, since the biyatisma is not tempered out | ||
* Is the closest approximation of 24edo's own Ultraprime in this system, and thus... | * Is the closest approximation of 24edo's own Ultraprime in this system, and thus... | ||
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| This interval... | | This interval... | ||
* Approximates the [[28/27|Septimal Subminor Second]], and thus... | * Approximates the [[28/27|Septimal Subminor Second]], and thus... | ||
:* Is the narrowest interval that can be used in Western-Classical-based harmony and | :* Is the narrowest interval that can be used in Western-Classical-based harmony and Neo-Medieval harmony as a proper leading tone | ||
* Is the closest approximation of the [[19edo]] Augmented Prime found in this system, and thus... | * Is the closest approximation of the [[19edo]] Augmented Prime 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 | :* 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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| Narrow Minor Second, Greater Sub-Augmented Prime | | Narrow Minor Second, Greater Sub-Augmented Prime | ||
| Eb\, Dt>↑ | | Eb\, Dt>↑ | ||
| | | This interval... | ||
* Approximates the [[21/20|Septimal Minor Semitone]], and thus... | |||
:* It serves as a type of leading tone when resolving septimal harmony constructions to classic harmony constructions | |||
* Approximates the [[22/21|Small Undecimal Semitone]], and thus... | |||
:* It serves as a type of small chromatic semitone in undecimal harmony constructions | |||
* Is one sixth of this system's approximation of the Octave-Reduced Third Subharmonic or Perfect Fourth | |||
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| Pythagorean Minor Second, Ptolemaic Augmented Prime | | Pythagorean Minor Second, Ptolemaic Augmented Prime | ||
| Eb, D#↓ | | Eb, D#↓ | ||
| | | This interval... | ||
* Approximates the [[256/243|Pythagorean Minor Second]], as implied by one if its names, and as such... | |||
:* It serves as a Diatonic semitone in both Western-Classical-based harmony and Neo-Medieval harmony, and thus... | |||
::* Can be used readily in both melodic and harmonic voice-leading in general | |||
::* Can occur as the distance between two notes in a single chord in Western-Classical-based polypedal harmony, though this is a dissonance that requires resolution | |||
::* Has the potential to move directly back down to the Tonic as a reverse leading-tone | |||
* Approximates the [[135/128|Major Chroma]] or Ptolemaic Augmented Prime, and as such... | |||
:* It serves as a chromatic semitone in the 5-limit Diatonic settings that are common to Western-Classical-based harmony, and thus... | |||
::* It separates Pythagorean Major intervals from Ptolemaic Minor Intervals from Pythagorean Major intervals, and likewise separates Ptolemaic Major intervals from Pythagorean Minor intervals | |||
* As a further consequence of the [[schisma]] being tempered out in this system, this interval is one half of this system's approximation of the Ptolemaic Major Second | |||
* Is the closest approximation of [[13edo]]'s own Minor Second in this system, and thus... | |||
:* Can be used in [[Warped diatonic|Warped Diatonic]] gestures reminiscent of those found in that system | |||
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