159edo/Interval names and harmonies: Difference between revisions

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A much-needed change to the unison and octave notes has been implemented
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* Approximates the [[27/20|Classic Acute Fourth]], and as such...
* Approximates the [[27/20|Classic Acute Fourth]], and as such...
:* Is one of two xenharmonic intervals that appear in the otherwise traditional settings of Western-Classical-based Diatonic scales
:* Is one of two xenharmonic intervals that appear in the otherwise traditional settings of Western-Classical-based Diatonic scales
::* Specifically, it is found between the Major Third and Major Sixth in the Lydian Mode of the familiar [[Zarlino|Ptolemaic Sequence]], and is ideally in the exact same position for both Ionian and Mixolydian modes, though this technically results in there being Diatonic scales of different varieties- namely the Bilawal and Myxian scale types...
::* Specifically, it is found between the Major Third and Major Sixth in the Lydian Mode of the familiar [[Zarlino|Ptolemaic Sequence]], and is ideally in the exact same position for both Ionian and Mixolydian modes, though this technically results in there being Diatonic scales of different varieties- namely the Bilawal and Myxian scale types
::* 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
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| [[77/52]]
| [[77/52]]
| ?
| ?
|  
| k5
|  
Lesser Acute Fourth
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| A↓
|  
| This interval...
* Approximates the [[40/27|Classic Grave Fifth]], and as such...
:* Is one of two xenharmonic intervals that appear in the otherwise traditional settings of Western-Classical-based Diatonic scales
::* Specifically, it is found between the Minor Third and Minor Seventh in the Locrian Mode of the familiar [[Zarlino|Ptolemaic Sequence]], and is ideally in the exact same position for, Phrygian, Aeolian and Dorian modes, though this technically results in there being Diatonic scales of different varieties- namely the Contrazarlino, Contrabilawal and Contramyxian scale types
::* 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
*
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| This interval...
| This interval...
* Is the [[2/1|Perfect Octave]], and thus...
* Is the [[2/1|Perfect Octave]], and thus...
:* Is the reduplication of a chord's root
:* Is the reduplication of a chord's root in this system
:* Is the reduplication of the Tonic
:* Is the reduplication of the Tonic in this system
:* Is one of four perfect consonances in this system
:* Is one of four perfect consonances in this system
* Is the most common [[equave]] due in part to the properties human hearing in relation to tone-color matching
* Is the most common [[equave]] due in part to the properties human hearing in relation to tone-color matching