User:Aura/Aura's Ideas on Functional Harmony (Part 1): Difference between revisions
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=== Specific Types of Supervicinant === | === Specific Types of Supervicinant === | ||
The three subtypes of Supervicinant are as follows... | |||
'''Supercollocant''' - This type of Supervicinant, although not found in Viennese Theory proper, is an interval that maps to both 1\7 and 2\24 in Bass-Up tonality. Additionally, it has the Antidominant function as typified by the root of the [[Wikipedia:Neapolitan chord|Neapolitan chord]] in Bass-Up tonality and the Antiserviant function in Treble-Down tonality. | '''Supercollocant''' - This type of Supervicinant, although not found in Viennese Theory proper, is an interval that maps to both 1\7 and 2\24 in Bass-Up tonality. Additionally, it has the Antidominant function as typified by the root of the [[Wikipedia:Neapolitan chord|Neapolitan chord]] in Bass-Up tonality and the Antiserviant function in Treble-Down tonality. | ||
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=== Specific Types of Subvicinant === | === Specific Types of Subvicinant === | ||
The three subtypes of Subvicinant are as follows... | |||
'''Subtonic''' - This type of Subvicinant is an interval that maps to both 6\7 and 20\24 in Bass-Up tonality and occurs above the Tonic as the seventh scale degree. However, it should be noted that the upper boundary of this function is situated at roughly 216/119 above the Tonic, since notes located at larger distances from the Tonic are liable to cause listeners to forget the ending pitch's relationship to the starting pitch- something which Subtonics don't do under any circumstances. Conspicuously, one type of Supertonic is the "'''Biserviant'''", which is the function specifically of [[16/9]]. | '''Subtonic''' - This type of Subvicinant is an interval that maps to both 6\7 and 20\24 in Bass-Up tonality and occurs above the Tonic as the seventh scale degree. However, it should be noted that the upper boundary of this function is situated at roughly 216/119 above the Tonic, since notes located at larger distances from the Tonic are liable to cause listeners to forget the ending pitch's relationship to the starting pitch- something which Subtonics don't do under any circumstances. Conspicuously, one type of Supertonic is the "'''Biserviant'''", which is the function specifically of [[16/9]]. | ||
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'''Subcollocant''' - This type of Subvicinant is the note typically referred to when people say "the leading tone", and an interval that 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. | '''Subcollocant''' - This type of Subvicinant is the note typically referred to when people say "the leading tone", and an interval that 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. | ||
== Mediant Subtypes == | == Mediant and Contramediant Subtypes == | ||
There are five basic types of Mediant, although only three of them are distinct in [[24edo]]- you'd need to go to [[41edo]] or [[53edo]] to see all five. Similarly, there are five basic types of Contraediant, with only three of them are distinct in [[24edo]], so you'd need to go to [[41edo]] or [[53edo]] to see all five. | |||
=== Specific Types of Mediant === | |||
The five subtypes of Mediant are as follows... | |||
'''Proximomediant''' - This type of Mediant is mapped to 2\7 and 6\24 and is so named due to being located on the end of the Mediant range closest to the Tonic. Conspicuously, it is one of the possible the types of Mediant seen in Minor keys and is only distinct from the Mesoproximomediant in finer tuning systems where it is usually more dissonant. One type of Proximomediant is the "'''Triserviant'''", which is the function specifically of [[32/27]]. | '''Proximomediant''' - This type of Mediant is mapped to 2\7 and 6\24 and is so named due to being located on the end of the Mediant range closest to the Tonic. Conspicuously, it is one of the possible the types of Mediant seen in Minor keys and is only distinct from the Mesoproximomediant in finer tuning systems where it is usually more dissonant. One type of Proximomediant is the "'''Triserviant'''", which is the function specifically of [[32/27]]. | ||
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'''Distomediant''' - This type of Mediant is mapped to both 2\7 and 8\24 and is so named due to being located on the end of the Mediant range furthest from the Tonic. Conspicuously, it is one of the possible the types of Mediant seen in Major keys and is only distinct from the Mesodistomediant in finer tuning systems where it is usually more dissonant. One type of Distomediant is the "'''Quadridominant'''", which is the function specifically of [[81/64]]. | '''Distomediant''' - This type of Mediant is mapped to both 2\7 and 8\24 and is so named due to being located on the end of the Mediant range furthest from the Tonic. Conspicuously, it is one of the possible the types of Mediant seen in Major keys and is only distinct from the Mesodistomediant in finer tuning systems where it is usually more dissonant. One type of Distomediant is the "'''Quadridominant'''", which is the function specifically of [[81/64]]. | ||
== Contramediant | === Specific Types of Contramediant === | ||
The five subtypes of Contramediant are as follows... | |||
'''Proximocontramediant''' - This type of Contramediant is mapped to 5\7 and 18\24 and is so named due to being located on the end of the Contramediant range closest to the Tonic. Conspicuously, it is one of the possible the types of Contraediant seen in Major keys and is only distinct from the Mesoproximocontramediant in finer tuning systems where it is usually more dissonant. One type of Proximocontramediant is the "'''Tridominant'''", which is the function specifically of [[27/16]]. | '''Proximocontramediant''' - This type of Contramediant is mapped to 5\7 and 18\24 and is so named due to being located on the end of the Contramediant range closest to the Tonic. Conspicuously, it is one of the possible the types of Contraediant seen in Major keys and is only distinct from the Mesoproximocontramediant in finer tuning systems where it is usually more dissonant. One type of Proximocontramediant is the "'''Tridominant'''", which is the function specifically of [[27/16]]. | ||