159edo/Interval names and harmonies: Difference between revisions

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Finally reached the Perfect Fifth...
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::* It is useful for overtly making the VImin chord of these modes do what a traditional deceptive cadence normally does
::* It is useful for overtly making the VImin chord of these modes do what a traditional deceptive cadence normally does
:* Is one of two intervals that can generate an Antidiatonic MOS with a sound and feel that blends in easily with traditional Western-Classical-based Diatonic harmonies
:* Is one of two intervals that can generate an Antidiatonic MOS with a sound and feel that blends in easily with traditional Western-Classical-based Diatonic harmonies
*  
* Is reachable through stacking ten of this system's approximation of the Large Tridecimal Third-Tone
* Is very useful for essentially tempered chords such as marveltwin chords and ibnsinmic chords in the 27-odd-limit
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| Rk5
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| Wide Grave Fifth
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| G↑\
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| This interval...
* Approximates a complex 11-limit interval, which, in this system...
:* Is one of two intervals that can generate a Diatonic MOS with a softness so extreme as to be quasi-equalized
* Is reachable through stacking seven of this system's approximation of the Small Septendecimal Semitone due to the combination of commas tempered out in this system
* Is the closest approximation of the 7edo Fifth 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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| r5
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| Narrow Fourth
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| A\
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| This interval...
* Approximates the [[112/75|Marvelous Fifth]], and thus...
:* Is one of two intervals that can generate a Diatonic MOS with a sound and feel akin to that seen in Flattone temperament
* Is reachable through stacking two of this system's approximation of the Low-Complexity JI Neutral Third
* Is the closest approximation of [[19edo]]'s Perfect Fifth 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 31edo's Perfect Fifth 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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| P5
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| Perfect Fifth
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| A
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| This interval...
* Approximates the [[3/2|Perfect Fifth]] or Octave-Reduced Third Harmonic, 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 Dominant, and thus...
::* It is the basic interval for framing a standard triad in this system
:* Is one of four perfect consonances in this system
* Is the closest approximation of the [[12edo]] Perfect Fifth 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
* Inherits a sizable portion of its functionality from its 53edo counterpart, including...
:* A chain of 53 Perfect Fifths 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 [[gamelan]] and [[364/363|gentle]]
:* A sizable chunk of its functionality in the realm of Western-Classical-based Paradiatonic functional harmony
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