159edo/Interval names and harmonies: Difference between revisions
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:* It functions as both a type of chromatic semitone and a type of Diatonic semitone in septimal harmony | :* It functions as both a type of chromatic semitone and a type of Diatonic semitone in septimal harmony | ||
* Is one third of this system's approximation of the Octave-Reduced Thirteenth Subharmonic | * Is one third of this system's approximation of the Octave-Reduced Thirteenth Subharmonic | ||
* Is the closest approximation of [[10edo]]'s Minor Second, and thus... | * Is the closest approximation of [[10edo]]'s Minor Second 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 | :* 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 has the potential to move up towards a Mediant harmony through a parachromatic motion | :* It has the potential to move up towards a Mediant harmony through a parachromatic motion | ||
* 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 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 | :* 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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:* Is ostensibly one of the easiest 13-limit thirds to utilize in chords framed by either a Grave Fifth or an Acute Fifth | :* 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 one third of this system's approximation of the Classic Major Seventh | ||
* Is the closest approximation of 10edo's Major Third, and thus... | * Is the closest approximation of 10edo's Major 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 | :* 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 | * 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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| This interval... | | This interval... | ||
* Approximates a complex 5-limit interval formed by subtracting a syntonic comma from a Perfect Fourth | * Approximates a complex 5-limit interval formed by subtracting a syntonic comma from a Perfect Fourth | ||
* Is one half of this system's approximation of the Tridecimal Semitwelfth | |||
* Is reachable through stacking nine of this system's approximation of the Al-Farabi Quartertone | * Is reachable through stacking nine of this system's approximation of the Al-Farabi Quartertone | ||
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| ? | | ? | ||
| [[45/34]] | | [[45/34]] | ||
| | | Rk4 | ||
| | | Wide Grave Fourth | ||
| | | G↓/ | ||
| | | This interval... | ||
* Is one half of this system's approximation of the Octave-Reduced Seventh Harmonic | |||
* Is the closest approximation of 10edo's Perfect Fourth 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 | |||
* Is one of two intervals that can generate a Diatonic MOS with a more extreme hardness than that seen in Ultrapyth temperament | |||
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| ? | | ? | ||
| [[85/64]] | | [[85/64]] | ||
| | | r4 | ||
| | | Narrow Fourth | ||
| | | G\ | ||
| | | This interval... | ||
* Approximates the [[85/64|Septendecimal Fifth]], and thus... | |||
:* Is one of two intervals that can generate a Diatonic MOS what a sound and feel akin to that seen in Superpyth temperament | |||
* Is the closest approximation of 17edo's Perfect Fourth 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 | |||
* Is the closest approximation of 22edo's Perfect Fourth in this system, and thus... | |||
:* Can be used in both Superpyth-based and Faux-Classical-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 | |||
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| ? | | ? | ||
| ? | | ? | ||
| | | P4 | ||
| | | Perfect Fourth | ||
| | | G | ||
| | | This interval... | ||
* Approximates the [[4/3|Perfect Fourth]] or Octave-Reduced Third Subharmonic, and as such... | |||
:* Is one of the staples of both melodic and harmonic motion in general, and in particular... | |||
::* It is a staple interval in Western-Classical-based Diatonic scales in this system, as... | |||
:::* It is one of two intervals that can generate this system's approximation of the Pythagorean Diatonic MOS | |||
:* Can easily occur as the distance between two notes in a single chord in Western-Classical-based polypedal harmony | |||
:* Is the basic representation of the Serviant, and thus... | |||
::* It is the basic interval for framing a standard tetrachord in this system | |||
:* Is one of four perfect consonances in this system | |||
* Inherits a sizable portion of its functionality from its 53edo counterpart, including... | |||
:* A chain of 53 Perfect Fourths closing at the octave due to [[Mercator's comma]] being tempered out | |||
:* Virtually all of its functionality in the realm of Western-Classical-based Diatonic scales and Diatonic functional harmony | |||
* New elements to its functionality include... | |||
:* New approaches enabled by this system supporting temperaments such as [[sextilififths]] | |||
:* A sizable chunk of its functionality in the realm of Western-Classical-based Paradiatonic functional harmony | |||
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