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 thus...
* 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 thus...
* 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 thus...
* 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↑/
| As the approximation of the octave-reduced seventh subharmonic- that is, the Septimal Supermajor Second- this interval is used accordingly; in fact, since three of these add up to a Perfect Fifth in this system, there are multiple ways this interval can be used in chords to great effect.
| 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]]