159edo/Interval names and harmonies: Difference between revisions

Aura (talk | contribs)
Finishing up the tasks with harmonic and melodic compatibility ratings
Aura (talk | contribs)
Fixed another notation error in chart
 
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:* It readily serves as a Diatonic whole tone in both Western-Classical-based functional harmony and Neo-Medieval harmony in general, since…
:* It readily serves as a Diatonic whole tone in both Western-Classical-based functional harmony and Neo-Medieval harmony in general, since…
::* It functions as a Double Dominant due to being the result of stacking two Perfect Fifths and octave-reducing
::* It functions as a Double Dominant due to being the result of stacking two Perfect Fifths and octave-reducing
:* Is the whole tone that is used as a reference interval in [[Diatonic, Chromatic, Enharmonic, Subchromatic|diatonic-and-chromatic-style]] interval logic in this system as it pertains to both semitones and quartertones, and thus…
:* Is the whole tone that is used as a reference interval in [[diatonic, chromatic, enharmonic, subchromatic|diatonic-and-chromatic-style]] interval logic in this system as it pertains to both semitones and quartertones, and thus…
::* It sees usage in Paradiatonic and Parachromatic harmonies in addition to the more obvious Diatonic-related uses
::* It sees usage in Paradiatonic and Parachromatic harmonies in addition to the more obvious Diatonic-related uses
* Is one fourth of this system's approximation of the Classic Minor Sixth as a consequence of the schisma being tempered out in this system
* Is one fourth of this system's approximation of the Classic Minor Sixth as a consequence of the schisma being tempered out in this system
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:* Virtually all of its functionality in the realm of Western-Classical-based Diatonic scales and Diatonic functional harmony
:* 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 elements to its functionality include…
:* New approaches enabled by this system supporting temperaments such as [[sextilififths]]
:* New approaches enabled by this system supporting temperaments such as [[sextilifourths]]
:* A sizable chunk of its functionality in the realm of Western-Classical-based Paradiatonic functional harmony
:* A sizable chunk of its functionality in the realm of Western-Classical-based Paradiatonic functional harmony
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|-
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| Rm5, rUA4
| Rm5, rUA4
| Wide Paraminor Fifth, Retrodiptolemaic Augmented Fourth
| Wide Paraminor Fifth, Retrodiptolemaic Augmented Fourth
| Ad<\, G#↑, Ab↑↑
| Ad>/, G#↑, Ab↑↑
| -1
| -1
| 6
| 6
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| 99
| 99
| 747.1698113
| 747.1698113
| Rm4, KKM3, rUM3
| Rm4, KKM3, rUM3
| Narrow Paramajor Fifth, Wide Inframinor Sixth
| Narrow Paramajor Fifth, Wide Inframinor Sixth
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| SM6, kUM6
| SM6, kUM6
| Greater Supermajor Second, Narrow Inframinor Seventh
| Greater Supermajor Second, Narrow Inframinor Seventh
| Cb<, Bt<↓, B↑/
| Cd<, Bt<↓, B↑/
| 0
| 0
| 7
| 7
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* Is the closest approximation of 22edo's Lesser Minor Seventh in this system, and thus…
* Is the closest approximation of 22edo's Lesser Minor Seventh 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  
:* 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  
|--
|-
| 131
| 131
| 988.6792458
| 988.6792458