159edo/Interval names and harmonies: Difference between revisions
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Getting into the more traditional whole tone approximations... This ought to be fun... |
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* Approximates the [[135/128|Major Chroma]] or Ptolemaic Augmented Prime, and as such... | * Approximates the [[135/128|Major Chroma]] or Ptolemaic Augmented Prime, and as such... | ||
:* It serves as a chromatic semitone in the 5-limit Diatonic settings that are common to Western-Classical-based harmony, and thus... | :* It serves as a chromatic semitone in the 5-limit Diatonic settings that are common to Western-Classical-based harmony, and thus... | ||
::* It separates Pythagorean Major intervals from Ptolemaic Minor Intervals | ::* It separates Pythagorean Major intervals from Ptolemaic Minor Intervals, and likewise separates Ptolemaic Major intervals from Pythagorean Minor intervals | ||
* As a further consequence of the [[schisma]] being tempered out in this system, this interval is one half of this system's approximation of the Classic Major Second | * As a further consequence of the [[schisma]] being tempered out in this system, this interval is one half of this system's approximation of the Classic Major Second | ||
* Is the closest approximation of [[13edo]]'s own Minor Second in this system, and thus... | * Is the closest approximation of [[13edo]]'s own Minor Second in this system, and thus... | ||
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| This interval... | | This interval... | ||
* Approximates the [[16/15|Classic Minor Second]] or Ptolemaic Minor Second, and thus... | * Approximates the [[16/15|Classic Minor Second]] or Ptolemaic Minor Second, and thus... | ||
:* It serves as | :* It serves as the traditional leading tone in 5-limit Western-Classical-based functional harmony and thus... | ||
::* Is one of the staples of both melodic and harmonic voice-leading | ::* 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 causes crowding, and thus requires resolution | ::* Can occur as the distance between two notes in a single chord in Western-Classical-based polypedal harmony, though this causes crowding, and thus requires resolution | ||
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| Ptolemaic Major Second | | Ptolemaic Major Second | ||
| E↓, Fb | | E↓, Fb | ||
| | | This interval... | ||
* Approximates the [[10/9|Classic Major Second]] or Ptolemaic Minor Second, and thus... | |||
:* It serves as a Diatonic whole tone in both Western-Classical-based functional harmony, and thus... | |||
::* 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 causes crowding, and thus requires resolution | |||
::* Is one the intervals in this system that are essential in executing any sort of variation on Jacob Collier's "Four Magical chords" from his rendition of "In the Bleak Midwinter" | |||
* Is one half of this system's approximation of the Octave-Reduced Thirteenth Subharmonic | |||
* Is one fifth of this system's approximation of the Pythagorean Major Sixth | |||
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