159edo/Interval names and harmonies: Difference between revisions
Finished the Major Sixths... |
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| Fɔ, Et>/, E#ɔɔ, Gbb | | Fɔ, Et>/, E#ɔɔ, Gbb | ||
| This interval... | | This interval... | ||
* Approximates the [[75/64| | * Approximates the [[75/64|Classic Augmented Second]], and as such... | ||
:* It most frequently appears in approximations of 5-limit Harmonic scales as the interval between the Ptolemaic Minor Sixth and the Ptolemaic Major Seventh | :* It most frequently appears in approximations of 5-limit Harmonic scales as the interval between the Ptolemaic Minor Sixth and the Ptolemaic Major Seventh | ||
* Approximates a complex 5-limit interval formed by subtracting a syntonic comma from a Pythagorean Minor Third, and thus... | * Approximates a complex 5-limit interval formed by subtracting a syntonic comma from a Pythagorean Minor Third, and thus... | ||
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| Bɔ/ | | Bɔ/ | ||
| This interval... | | This interval... | ||
* Approximates the [[256/153|Septendecimal | * Approximates the [[256/153|Septendecimal Artomean Major Sixth]] | ||
* Is the closest approximation of 31edo's Major Sixth found in this system, and thus... | * Is the closest approximation of 31edo's Major Sixth 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 | :* 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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| B\ | | B\ | ||
| This interval... | | This interval... | ||
* Approximates the [[42/25|Quasi-Tempered | * Approximates the [[42/25|Quasi-Tempered Major Sixth]], and as such... | ||
:* It is the closest approximation of 12edo's Major Sixth found in this system, and thus... | :* It is the closest approximation of 12edo's Major Sixth 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 | ::* 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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| RM6 | | RM6 | ||
| Wide Major Sixth | | Wide Major Sixth | ||
| | | B/, Cd<ɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[13 | * Approximates the [[22/13|Neo-Gothic Major Sixth]], and thus... | ||
:* Can be used in Western-Classical-based harmony and Neo-Medieval harmony very easily | :* Can be used in Western-Classical-based harmony and Neo-Medieval harmony very easily | ||
:* Has additional applications in Paradiatonic harmony, particularly... | :* Has additional applications in Paradiatonic harmony, particularly... | ||
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| ? | | ? | ||
| [[17/10]] | | [[17/10]] | ||
| | | rKM6 | ||
| | | Narrow Supermajor Sixth | ||
| | | B+\, Cd>ɔ | ||
| | | This interval... | ||
* Approximates the [[17/10|Septendecimal Major Sixth]] | |||
* Is the closest approximation of 13edo's Major Sixth 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 the closest approximation of 17edo's Major Sixth 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 | |||
|- | |- | ||
| 123 | | 123 | ||
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| 200/117 | | 200/117 | ||
| ? | | ? | ||
| | | KM6 | ||
| | | Lesser Supermajor Sixth | ||
| | | B+, Cd<\, Cb++, A## | ||
| | | This interval... | ||
* Approximates the [[128/75|Classic Diminished Seventh]], and as such... | |||
:* It can be thought of as a type of seventh when acting in this capacity | |||
* Approximates a complex 5-limit interval formed by stacking a syntonic comma on top of a Pythagorean Major Sixth, and thus... | |||
:* It can be thought of as a type of sixth when acting in this capacity | |||
* Is the closest approximation of 22edo's Greater Major Sixth 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 | |||
* Is the closest approximation of 31edo's Supermajor Sixth found in this system, and thus... | |||
:* Is capable of being used in certain similar melodic and harmonic gestures, albeit with caveats, since such moves on their own don't work the exact same way in this system | |||
|- | |- | ||
| 124 | | 124 | ||
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| ? | | ? | ||
| ? | | ? | ||
| | | SM6, kUM6 | ||
| | | Greater Supermajor Second, Narrow Inframinor Seventh | ||
| | | Cb<, Bt<ɔ, B+/ | ||
| | | This interval... | ||
* Approximates the [[12/7|Septimal Supermajor Sixth]], and as such... | |||
:* Can readily occur as the distance between two notes in a single chord in Western-Classical-based polypedal harmony, as per this system's version of the Dinner Party Rules, and it should be noted that... | |||
::* This causes ambisonance, so chords that utilize it are prone to decomposition | |||
:* It readily serves as one of the key Paradiatonic intervals in Western-Classical-based Paradiatonic functional harmony, since... | |||
::* It functions as a Varicant due to its semiambitonal properties relative to the Diatonic scale | |||
::* It is useful in forming ambisonant triads framed by the Perfect Twelfth | |||
* Is very useful for essentially tempered chords such as Keenanismic chords | |||
|- | |- | ||
| 125 | | 125 | ||
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| ? | | ? | ||
| ? | | ? | ||
| | | um7, RkUM6 | ||
| | | Ultramajor Second, Narrow Subminor Third | ||
| | | Cd>, Bt>ɔ | ||
| | | This interval... | ||
* Approximates a complex 11-limit Paradiatonic interval that functions as a syntactic seventh that sounds more like a sixth, and as such... | |||
:* It has the potential to move up towards the Subtonic through a parachromatic motion | |||
:* It has the potential to move back down to a Contramediant harmony through a diatonic or paradiatonic motion | |||
* | |||
|- | |- | ||
| 126 | | 126 | ||