User:Aura/Aura's Ideas on Functional Harmony (Part 1): Difference between revisions
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'''Subaequient''' - This subtype of Subvicinant is an interval that maps to 6\7 and either 20\24 or 21\24 depending on a variety of factors. It is so named for the equable heptatonic region below the Tonic, which comprises the bulk of its range, and for its capacity to straddle the line between the Subtonic and Subabrogant functions in voice-leading. Conspicuously, it is distinct from Subtonic and Subabrogant functions only in finer tuning systems, with the approximation ranges for [[9/5]] and [[20/11]] being located at its borders. | '''Subaequient''' - This subtype of Subvicinant is an interval that maps to 6\7 and either 20\24 or 21\24 depending on a variety of factors. It is so named for the equable heptatonic region below the Tonic, which comprises the bulk of its range, and for its capacity to straddle the line between the Subtonic and Subabrogant functions in voice-leading. Conspicuously, it is distinct from Subtonic and Subabrogant functions only in finer tuning systems, with the approximation ranges for [[9/5]] and [[20/11]] being located at its borders. | ||
'''Subabrogant''' - This subtype of | '''Subabrogant''' - This subtype of Subvicinant is not a traditional diatonic function at all since it is an interval that maps to both 6\7 and 21\24 in Bass-Up tonality. As per this function's name, the intervals in this range are like Subcollocants in that they may cause listeners to forget the ending pitch's relationship to the starting pitch in voice-leading. However, they, like Superabrogants, feel as if they're rather disconnected from the Tonic, and furthermore, the occurrence of two successive instances of these sorts of intervals in the same melodic line in the same direction is liable to come across as jarring. | ||
'''Subcollocant''' - This subtype of Subvicinant is the note typically referred to when people say "the leading tone", and an interval that usually maps to both 6\7 and 22\24 in Bass-Up tonality. Additionally, it has the Antiserviant function in Bass-Up tonality and the Antidominant function in Treble-Down tonality. Although triads built on this scale degree are regarded by some as simply incomplete Dominant Seventh chords, my own analysis, while acknowledging the functional similarities between the Subcollocant and the Dominant in Bass-Up tonality, sees this interval as functionally distinct from the Dominant due to the Subcollocant also being potentially related to the Mediant in the same way that the Dominant is related to the Tonic- a key functionality that is often exploited in [[Wikipedia:Vi–ii–V–I|circle progression]]s. In actuality, two subtypes of Subcollocant exist- the "'''Proximosubcollocant'''", which always maps to both 6\7 and 22\24 in Bass-Up tonality, and the "'''Distosubcollocant'''", which maps to 6\7 and either 21\24 or 22\24 depending on a variety of factors, and is distinct from both Proximosubcollocant and Subabrogant only in finer tuning systems where it is usually more consonant, and thus, weaker. An example of a Proximosubcollocant is [[243/128]] while an example of a Distosubcollocant is [[15/8]]. | '''Subcollocant''' - This subtype of Subvicinant is the note typically referred to when people say "the leading tone", and an interval that usually maps to both 6\7 and 22\24 in Bass-Up tonality. Additionally, it has the Antiserviant function in Bass-Up tonality and the Antidominant function in Treble-Down tonality. Although triads built on this scale degree are regarded by some as simply incomplete Dominant Seventh chords, my own analysis, while acknowledging the functional similarities between the Subcollocant and the Dominant in Bass-Up tonality, sees this interval as functionally distinct from the Dominant due to the Subcollocant also being potentially related to the Mediant in the same way that the Dominant is related to the Tonic- a key functionality that is often exploited in [[Wikipedia:Vi–ii–V–I|circle progression]]s. In actuality, two subtypes of Subcollocant exist- the "'''Proximosubcollocant'''", which always maps to both 6\7 and 22\24 in Bass-Up tonality, and the "'''Distosubcollocant'''", which maps to 6\7 and either 21\24 or 22\24 depending on a variety of factors, and is distinct from both Proximosubcollocant and Subabrogant only in finer tuning systems where it is usually more consonant, and thus, weaker. An example of a Proximosubcollocant is [[243/128]] while an example of a Distosubcollocant is [[15/8]]. | ||