159edo/Interval names and harmonies: Difference between revisions
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Covered all the Minor Sevenths... |
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* Approximates the [[17/15|Septendecimal Whole Tone]], and thus... | * Approximates the [[17/15|Septendecimal Whole Tone]], and thus... | ||
:* Can be used as an unexpected option for a diminished third in Western-Classical-based harmony | :* Can be used as an unexpected option for a diminished third in Western-Classical-based harmony | ||
* Approximates a complex 11-limit interval formed by stacking | * Approximates a complex 11-limit interval formed by stacking a Parapotome on top of a Classic Minor Second, and thus... | ||
:* It can be thought of as a type of whole tone when acting in this capacity | :* It can be thought of as a type of whole tone when acting in this capacity | ||
* Is one half of this system's approximation of the Septimal Supermajor Third | * Is one half of this system's approximation of the Septimal Supermajor Third | ||
| Line 2,453: | Line 2,453: | ||
| ? | | ? | ||
| [[30/17]] | | [[30/17]] | ||
| | | Rkm7 | ||
| | | Wide Subminor Seventh | ||
| | | Cɔ/, Bt<+ | ||
| | | This interval... | ||
* Approximates the [[30/17|Septendecimal Minor Seventh]], and thus... | |||
:* Can be used as an unexpected option for an augmented sixth in Western-Classical-based harmony | |||
* Approximates a complex 11-limit interval formed by subtracting a Parapotome from a Classic Major Seventh, and thus... | |||
:* It can be thought of as a type of seventh when acting in this capacity | |||
* Is reachable through stacking five of this system's approximation of the Middle Major Second | |||
* 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 | |||
|-- | |-- | ||
| 131 | | 131 | ||
| Line 2,465: | Line 2,472: | ||
| [[39/22]] | | [[39/22]] | ||
| 512/289 | | 512/289 | ||
| | | rm7 | ||
| | | Narrow Minor Seventh | ||
| | | C\, Bt>+ | ||
| | | This interval... | ||
* Approximates the [[39/22|Tridecimal Minor Seventh]], and thus... | |||
:* It is very likely to be treated as a type of minor seventh when working in Neo-Medieval harmony | |||
* Is the closest approximation of 17edo's Minor Seventh 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 | |||
|- | |- | ||
| 132 | | 132 | ||
| Line 2,477: | Line 2,488: | ||
| ? | | ? | ||
| ? | | ? | ||
| | | m7 | ||
| | | Pythagorean Minor Seventh | ||
| | | C, B#ɔ | ||
| | | This interval... | ||
* Approximates the [[16/9|Pythagorean Minor Seventh]], and as such... | |||
:* Is one of the staples of both melodic and harmonic voice-leading | |||
:* Can occur as the distance between two notes in a single chord in Western-Classical-based polypedal harmony, though this crowds the octave, and is thus prone to decomposition | |||
:* It readily serves as a Diatonic Minor Seventh in both Western-Classical-based functional harmony and Neo-Medieval harmony in general, since... | |||
::* It functions as a Double Serviant due to being the result of stacking two Perfect Fourths | |||
* Is reachable through stacking three of this system's approximation of the Undecimal Supraminor Third | |||
* Is one of two intervals that serve as the closest approximation of the 12edo Minor Seventh 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 | |||
|- | |- | ||
| 133 | | 133 | ||
| Line 2,489: | Line 2,508: | ||
| ? | | ? | ||
| ? | | ? | ||
| | | Rm7 | ||
| | | Artomean Minor Seventh | ||
| | | C/, B#ɔ/ | ||
| | | This interval... | ||
* Approximates the [[25/14|Middle Minor Seventh]] | |||
* Is one of two intervals that serve as the closest approximation of the 12edo Minor Seventh 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 Minor Seventh found in this system, and thus... | |||
:* Can be used in melodic and harmonic gestures reminiscent of those found in that system, since such moves on their own don't work the exact same way in this system | |||
|- | |- | ||
| 134 | | 134 | ||
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| [[256/143]] | | [[256/143]] | ||
| 459/256 | | 459/256 | ||
| | | rKm7 | ||
| | | Tendomean Minor Seventh | ||
| | | C+\, B#\ | ||
| | | This interval... | ||
* Approximates the [[256/143|Grossmic Minor Seventh]], and thus... | |||
:* Is useful for modulating to keys that are not found on the same circle of fifths | |||
* Is the closest approximation of 19edo's Minor Seventh found in this system, and thus... | |||
:* Can be used in melodic and harmonic gestures reminiscent of those found in that system, since such moves on their own don't work the exact same way in this system | |||
|- | |- | ||
| 135 | | 135 | ||
| Line 2,513: | Line 2,541: | ||
| ? | | ? | ||
| ? | | ? | ||
| | | kM2 | ||
| | | Ptolemaic Minor Seventh | ||
| | | C+, B# | ||
| | | This interval... | ||
* Approximates the [[9/5|Classic Minor Seventh]] or Ptolemaic Minor Seventh, and as such... | |||
:* Can be used readily in both melodic and harmonic voice-leading in general | |||
:* Can occur as the distance between two notes in a single chord in Western-Classical-based polypedal harmony, though this crowds the octave, and is thus prone to decomposition | |||
:* It readily serves as a Diatonic Minor Seventh in Western-Classical-based functional harmony, since... | |||
::* It has close affinities with the Dominant due to being located at roughly a Ptolemaic Minor Third away from it | |||
* Is reachable through stacking five of this system's approximation of the Pythagorean Major Second | |||
* Is the closest approximation of 13edo's own Minor Seventh 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 | |||
|- | |- | ||
| 136 | | 136 | ||
| Line 2,525: | Line 2,561: | ||
| ? | | ? | ||
| 768/425 | | 768/425 | ||
| | | RKm7, kn7 | ||
| | | Wide Minor Seventh | ||
| | | Ct<ɔ, C+/, Ddb<, B#/ | ||
| | | This interval... | ||
* Is reachable through stacking eight of this system's approximation of the Tridecimal Supraminor Second | |||
* Is the closest approximation of the 7edo Seventh 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 | |||
|- | |- | ||
| 137 | | 137 | ||