Tonic: Difference between revisions

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From there, the next 3-limit pitches in both the harmonic series and the subharmonic series give rise to the [[Wikipedia:Supertonic|supertonic]] and subtonic—with the exact functions of each of these also being determined by your chosen tonality's direction of construction—and the next three limit pitches after that in both the harmonic series and the subharmonic series give rise to variations of the [[Wikipedia:Mediant|mediant]] and [[Wikipedia:Submediant|submediant]] (or, alternatively, the supermediant) depending on your tonality's direction of construction.

In the [[5-limit]], the first pair of ~~5-limit~~ nontonic pitches in both the harmonic series and the subharmonic series give rise to the simplest variations of the mediant and contramediant, while the first combinations of 3-limit and 5-limit give rise to a set of leading tones—the exact role of each individual pitch is again determined by your chosen tonality's direction of construction. Of course, this same pattern of generation extends to the [[7-limit]], the [[11-limit]], the [[13-limit]], and so on. As a result of all this giving rise to other functions, the tonic neutralizes the tension between the dominant and the subdominant (or superdominant) as well as their respective [[Wikipedia:Parallel and counter parallel|"parallels" and "counter parallels"]].

In the [[5-limit]], the first pair of nontonic pitches in both the harmonic series and the subharmonic series give rise to the simplest variations of the mediant and contramediant, while the first combinations of 3-limit and 5-limit give rise to a set of leading tones—the exact role of each individual pitch is again determined by your chosen tonality's direction of construction. Of course, this same pattern of generation extends to the [[7-limit]], the [[11-limit]], the [[13-limit]], and so on. As a result of all this giving rise to other functions, the tonic neutralizes the tension between the dominant and the subdominant (or superdominant) as well as their respective [[Wikipedia:Parallel and counter parallel|"parallels" and "counter parallels"]].

== Repelling the competition ==

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 From there, the next 3-limit pitches in both the harmonic series and the subharmonic series give rise to the [[Wikipedia:Supertonic|supertonic]] and subtonic—with the exact functions of each of these also being determined by your chosen tonality's direction of construction—and the next three limit pitches after that in both the harmonic series and the subharmonic series give rise to variations of the [[Wikipedia:Mediant|mediant]] and [[Wikipedia:Submediant|submediant]] (or, alternatively, the supermediant) depending on your tonality's direction of construction.
-In the [[5-limit]], the first pair of 5-limit nontonic pitches in both the harmonic series and the subharmonic series give rise to the simplest variations of the mediant and contramediant, while the first combinations of 3-limit and 5-limit give rise to a set of leading tones—the exact role of each individual pitch is again determined by your chosen tonality's direction of construction. Of course, this same pattern of generation extends to the [[7-limit]], the [[11-limit]], the [[13-limit]], and so on. As a result of all this giving rise to other functions, the tonic neutralizes the tension between the dominant and the subdominant (or superdominant) as well as their respective [[Wikipedia:Parallel and counter parallel|"parallels" and "counter parallels"]].
+In the [[5-limit]], the first pair of nontonic pitches in both the harmonic series and the subharmonic series give rise to the simplest variations of the mediant and contramediant, while the first combinations of 3-limit and 5-limit give rise to a set of leading tones—the exact role of each individual pitch is again determined by your chosen tonality's direction of construction. Of course, this same pattern of generation extends to the [[7-limit]], the [[11-limit]], the [[13-limit]], and so on. As a result of all this giving rise to other functions, the tonic neutralizes the tension between the dominant and the subdominant (or superdominant) as well as their respective [[Wikipedia:Parallel and counter parallel|"parallels" and "counter parallels"]].
 == Repelling the competition ==