159edo/Interval names and harmonies: Difference between revisions
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| Gt>↓, Adb> | | Gt>↓, Adb> | ||
| This interval... | | This interval... | ||
* Approximates the [[15/11 | * Approximates the [[15/11|Undecimal Grave Infra-Augmented Fourth]], and thus... | ||
:* Is extremely useful as an imperfect dissonance in Western-Classical-based Paradiatonic functional harmony | :* Is extremely useful as an imperfect dissonance in Western-Classical-based Paradiatonic functional harmony | ||
:* Has interesting functions in undecimal harmony in which it can act as both an acute fourth and an infra-augmented fourth | :* Has interesting functions in undecimal harmony in which it can act as both an acute fourth and an infra-augmented fourth | ||
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| This interval... | | This interval... | ||
* Approximates a complex 7-limit interval formed by stacking a Septimal Subminor Second on top of a Perfect Fourth, and thus... | * Approximates a complex 7-limit interval formed by stacking a Septimal Subminor Second on top of a Perfect Fourth, and thus... | ||
:* It can be thought of as a type of fifth when acting in this | :* It can be thought of as a type of fifth when acting in this capacity | ||
* Is one half of this system's approximation of the Undecimal Major Seventh | * Is one half of this system's approximation of the Undecimal Major Seventh | ||
* Is reachable through stacking two of this system's approximation of the Septendecimal Minor Third | * Is reachable through stacking two of this system's approximation of the Septendecimal Minor Third | ||
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| [[18/13]] | | [[18/13]] | ||
| ? | | ? | ||
| kkA4, kd5 | | kkA4, RuA4, kd5 | ||
| Diptolemaic Augmented Fourth, Retroptolemaic Diminished Fifth | | Diptolemaic Augmented Fourth, Retroptolemaic Diminished Fifth | ||
| G#↓↓, Ab↓ | | G#↓↓, Ab↓ | ||
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| ? | | ? | ||
| 357/256 | | 357/256 | ||
| | | rKuA4, Rkd5 | ||
| | | Lesser Sub-Augmented Fourth, Artoretromean Diminished Fifth | ||
| | | Gt<↑, Ab↓/ | ||
| | | This interval... | ||
* Approximates a complex 11-limit interval formed by stacking a Syntonic Comma on top of a Paramajor Fourth, and thus... | |||
:* It can be thought of as a type of fourth when acting in this capacity | |||
* Is one half of this system's approximation of the Undecimal Infraoctave | |||
* Is reachable through stacking two of this system's approximation of the Neo-Gothic Minor Third | |||
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| 77 | | 77 | ||