User:Aura/Aura's Ideas on Functional Harmony (Part 1): Difference between revisions

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'''Contralead''' - This function, although not found in Viennese Theory proper, is easily derivable through a combination of the Tonic Adjacent function, the Serviant Parallel functions of [[16/15]], and, the Antidominant function typified by the root of the [[Wikipedia:Neapolitan chord|Neapolitan chord]].  As such, this lowered second scale degree in Bass-Up Tonality should be considered as more than just a simple chromatic alteration of the Supertonic.  Taking this idea into the realm of Microtonality, the Contralead is an interval that occurs at intervals between [[25/24]] and [[14/13]] away from the Tonic, and serves in part as a leading tone in the direction opposite that of the scale's direction of construction, but also has a Predominant function.
'''Contralead''' - This function, although not found in Viennese Theory proper, is easily derivable through a combination of the Tonic Adjacent function, the Serviant Parallel functions of [[16/15]], and, the Antidominant function typified by the root of the [[Wikipedia:Neapolitan chord|Neapolitan chord]].  As such, this lowered second scale degree in Bass-Up Tonality should be considered as more than just a simple chromatic alteration of the Supertonic.  Taking this idea into the realm of Microtonality, the Contralead is an interval that occurs at intervals between [[25/24]] and [[14/13]] away from the Tonic, and serves in part as a leading tone in the direction opposite that of the scale's direction of construction, but also has a Predominant function.


'''Supertonic''' - This function is easily derivable through a combination of the Tonic Adjacent function, the Subdominant Parallel function of [[10/9]] and Double Dominant function of [[9/8]], or at least that's the case in Bass-Up Tonality, and especially in [[meantone]] contexts where the two intervals are equated.  However, I would argue that due to both the close proximity of 10/9 and 9/8 even in non-meantone settings and the shared Predominant functionalities of both scale degrees, these two functions often overlap to some degree or other.  Accordingly, this is the note that occurs roughly at intervals between [[567/512]] and [[256/225]] above the Tonic as the second scale degree.
'''Supertonic''' - This function is easily derivable through a combination of the Tonic Adjacent function, the Serviant Parallel function of [[10/9]] and Double Dominant function of [[9/8]], or at least that's the case in Bass-Up Tonality, and especially in [[meantone]] contexts where the two intervals are equated.  However, I would argue that due to both the close proximity of 10/9 and 9/8 even in non-meantone settings and the shared Predominant functionalities of both scale degrees, these two functions often overlap to some degree or other.  Accordingly, this is the note that occurs roughly at intervals between [[567/512]] and [[256/225]] above the Tonic as the second scale degree.


'''Mediant''' - This is the note that occurs roughly at intervals between [[75/64]] and [[32/25]] away from the Tonic in the scale's direction of construction, and is named due to being roughly halfway between the Tonic and the Dominant. This is the first of the two diatonic scale degrees with the most possibilities for realization.  From a functional standpoint, the properties that are central to the Mediant function are all most easily derived through a combination of the Tonic Parallel function and the Serviant Adjacent function, and in addition, have both Preserviant and Predominant functions.  However, there are other functional aspects of a Mediant that are determined by whether the interval in question is considered consonant or dissonant, with [[5/4]] and [[6/5]] being examples of consonant Mediants, and [[81/64]] and [[32/27]] being examples of dissonant Mediants.
'''Mediant''' - This is the note that occurs roughly at intervals between [[75/64]] and [[32/25]] away from the Tonic in the scale's direction of construction, and is named due to being roughly halfway between the Tonic and the Dominant. This is the first of the two diatonic scale degrees with the most possibilities for realization.  From a functional standpoint, the properties that are central to the Mediant function are all most easily derived through a combination of the Tonic Parallel function and the Serviant Adjacent function, and in addition, have both Preserviant and Predominant functions.  However, there are other functional aspects of a Mediant that are determined by whether the interval in question is considered consonant or dissonant, with [[5/4]] and [[6/5]] being examples of consonant Mediants, and [[81/64]] and [[32/27]] being examples of dissonant Mediants.