159edo/Interval names and harmonies: Difference between revisions
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| D#\, Eb↑\ | | D#\, Eb↑\ | ||
| This interval... | | This interval... | ||
* Approximates the [[17/16|Large Septendecimal Semitone]] or [[Octave-Reduced]] Seventeenth Harmonic, and thus... | * Approximates the [[17/16|Large Septendecimal Semitone]] or [[octave reduction|Octave-Reduced]] Seventeenth Harmonic, and thus... | ||
:* Can be used as an unexpected option for a Diatonic-type semitone in Western-Classical-based harmony | :* Can be used as an unexpected option for a Diatonic-type semitone in Western-Classical-based harmony | ||
* Approximates the [[1089/1024|Parapotome]] and thus... | * Approximates the [[1089/1024|Parapotome]] and thus... | ||
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| D#, Eb↑ | | D#, Eb↑ | ||
| This interval... | | This interval... | ||
* Approximates the [[16/15|Classic Minor Second]] or Ptolemaic Minor Second, and | * Approximates the [[16/15|Classic Minor Second]] or Ptolemaic Minor Second, and as such... | ||
:* Is one of the staples of both melodic and harmonic voice-leading | :* Is one of the staples of both melodic and harmonic voice-leading | ||
:* Can occur as the distance between two notes in a single chord in Western-Classical-based polypedal harmony, though this causes crowding, 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 crowding, and thus requires resolution | ||
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| E↓, Fb | | E↓, Fb | ||
| This interval... | | This interval... | ||
* Approximates the [[10/9|Classic Major Second]] or Ptolemaic Major Second, and | * Approximates the [[10/9|Classic Major Second]] or Ptolemaic Major Second, and as such... | ||
:* Can be used readily in both melodic and harmonic voice-leading in general | :* 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 causes crowding, 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 crowding, and thus requires resolution | ||
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| E, Fb↑ | | E, Fb↑ | ||
| This interval... | | This interval... | ||
* Approximates the [[9/8|Pythagorean Major Second]], and | * Approximates the [[9/8|Pythagorean Major Second]], and as such... | ||
:* Is one of the staples of both melodic and harmonic voice-leading | :* Is one of the staples of both melodic and harmonic voice-leading | ||
:* Can occur as the distance between two notes in a single chord in Western-Classical-based polypedal harmony, though this causes crowding, 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 crowding, and thus requires resolution | ||
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| Greater Supermajor Second, Narrow Inframinor Third | | Greater Supermajor Second, Narrow Inframinor Third | ||
| Fd<, Et<↓, E↑/ | | Fd<, Et<↓, E↑/ | ||
| | | This interval... | ||
* Approximates the [[8/7|Septimal Supermajor Second]] or Octave-Reduced Seventh Subharmonic, and as such... | |||
:* Can readily occur as the distance between two notes in a single chord in Western-Classical-based polypedal harmony, as per this system's version of the Dinner Party Rules<ref>[https://www.youtube.com/watch?v=A355E0MKw7A Quartertone Harmony - The Truth About Quartertone Chords SD 480p]</ref>, and it should be noted that... | |||
::* Since three of these add up to this system's approximation of the Perfect Fifth, there are multiple ways it can be used in chords to great effect | |||
::* This causes ambisonance, so chords that utilize it are prone to decomposition | |||
:* It readily serves as one of the key Paradiatonic intervals in Western-Classical-based Paradiatonic functional harmony, since... | |||
::* It functions as a Contravaricant due to its semiambitonal properties relative to the Diatonic scale | |||
* Is one half of this system's approximation of the Septimal Subfourth | |||
* Is the closest approximation of 31edo's Supermajor Second 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 | |||
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== References == | |||
<references/> | |||
[[Category:159edo]] | [[Category:159edo]] | ||
[[Category:Interval naming]] | [[Category:Interval naming]] |