159edo/Interval names and harmonies: Difference between revisions
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::* Has the potential to move directly back down to the Tonic through a parachromatic motion | ::* Has the potential to move directly back down to the Tonic through a parachromatic motion | ||
::* Has the potential to move away from the Tonic towards either a Contralead or Supertonic harmony through a diatonic or paradiatonic motion | ::* Has the potential to move away from the Tonic towards either a Contralead or Supertonic harmony through a diatonic or paradiatonic motion | ||
* 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 Lesser Minor Second in this system, and thus... | ||
:* | :* Can be used in Superpyth-based melodic and harmonic 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 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... | ||
:* Follows similar interval arithmetic logic in relation to Pythagorean intervals, albeit with caveats, since the rastma is not tempered out | :* Follows similar interval arithmetic logic in relation to Pythagorean intervals, albeit with caveats, since the rastma is not tempered out | ||
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* 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 Neo-Medieval harmony as a proper leading tone | :* Is the narrowest interval that can be used in Western-Classical-based harmony and Neo-Medieval harmony as a proper leading tone | ||
::* Compared to other options, it has a markedly more tense feel | |||
* 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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* Approximates multiple complex [[17-limit]] intervals relative to the Tonic and can be used... | * Approximates multiple complex [[17-limit]] intervals relative to the Tonic and can be used... | ||
:* In Western-Classical-based harmony as part of the simul cadence due to it providing a smooth option for both voice-leading and chord construction | :* In Western-Classical-based harmony as part of the simul cadence due to it providing a smooth option for both voice-leading and chord construction | ||
:* As an unexpected option for a chromatic-type semitone | :* As an unexpected option for a chromatic-type semitone in Western-Classical-based harmony | ||
* Is the closest approximation of the 31edo Subminor Second found in this system, and thus... | * Is the closest approximation of the 31edo Subminor 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 | :* 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 | ||
* Is the closest approximation of the 16edo Subminor Second found in this system, and thus... | * Is the closest approximation of the 16edo Subminor Second found in this system, and thus... | ||
:* Can be used | :* Can be used in melodic and harmonic 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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| Eb, D#↓ | | Eb, D#↓ | ||
| This interval... | | This interval... | ||
* Approximates the [[256/243|Pythagorean | * Approximates the [[256/243|Pythagorean Limma]], and as such... | ||
:* It serves as a Diatonic semitone in both Western-Classical-based harmony and Neo-Medieval harmony, and thus... | :* 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 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 | ::* 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, though in non-meantone systems like this one, such a gesture using this interval has a more tense feel | ::* Has the potential to move directly back down to the Tonic as a reverse leading-tone, though in non-meantone systems like this one, such a gesture using this interval has a slightly more tense feel | ||
::* Can serve as a possible interval between the Tonic and the root of a Neapolitan chord | |||
* Approximates the [[135/128|Major Chroma]] or Ptolemaic Augmented Prime, and as such... | * 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 serves as a chromatic semitone in the 5-limit Diatonic settings that are common to Western-Classical-based harmony, and thus... | ||
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| Artomean Minor Second, Artomean Augmented Prime | | Artomean Minor Second, Artomean Augmented Prime | ||
| Eb/, D#↓/ | | Eb/, D#↓/ | ||
| This interval | | This interval... | ||
* Approximates the [[18/17|Small Septendecimal Semitone]], and thus... | |||
:* Can be used as an unexpected option for a chromatic-type semitone in Western-Classical-based harmony | |||
* Approximates the [[128/121|Axirabian Limma]], and thus... | |||
:* Can be used as a type of diatonic semitone in undecimal harmony | |||
:* Is one of two in this system that are essential in executing the [[Frameshift comma #Frameshift cedence|frameshift cadence]] | |||
:* Can serve as a possible interval between the Tonic and the root of a Neapolitan chord | |||
* Is the closest approximation of the [[12edo]] Minor Second found in this system, and thus... | |||
:* Can be used in melodic and harmonic 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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| 14 | | 14 | ||
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| Tendomean Minor Second, Tendomean Augmented Prime | | Tendomean Minor Second, Tendomean Augmented Prime | ||
| D#\, Eb↑\ | | D#\, Eb↑\ | ||
| | | This interval... | ||
* Approximates the [[17/16|Large Septendecimal Semitone]] or [[Octave-Reduced]] Seventeenth Harmonic, and thus... | |||
:* Can be used as an unexpected option for a diatonic-type semitone in Western-Classical-based harmony | |||
* Approximates the [[1089/1024|Parapotome]] and thus... | |||
:* Can be used as a type of chromatic semitone in undecimal harmony | |||
* Is the closest approximation of 22edo's own Greater Minor Second in this system, and thus... | |||
:* Can be used in Faux-Classical-based melodic and harmonic gestures reminiscent of those found in that system, albeit with caveats, since the biyatisma is not tempered out | |||
:* 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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| 15 | | 15 | ||