User:Aura/Aura's Ideas on Functional Harmony (Part 1): Difference between revisions
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'''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, though it is most often within 20 cents of either [[6/5]] or [[5/4]] due to these two LCJI intervals coming the closest to the halfway point between the Tonic and the Dominant. From a functional standpoint, the Mediant function is most easily derived through a combination of the Tonic Parallel function and the Serviant Adjacent function. | '''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, though it is most often within 20 cents of either [[6/5]] or [[5/4]] due to these two LCJI intervals coming the closest to the halfway point between the Tonic and the Dominant. From a functional standpoint, the Mediant function is most easily derived through a combination of the Tonic Parallel function and the Serviant Adjacent function. | ||
'''Antitonic''' - This is a special case, see the next section for more discussion of this function. | |||
'''Contramediant''' - Compared to the term "''Submediant''" from traditional music theory, the term "Contramediant" may have a slightly different frame of reference, as while a "Submediant" is halfway between the Tonic and a "Subdominant", the "Contramediant" is halfway between the Tonic and the Serviant. The Contramediant is a note that occurs roughly at intervals between [[25/16]] and [[128/75]] away from the Tonic in the scale's direction of construction, and is the second of two scale degrees with the most possibilities for the realization. From a functional standpoint, the Contramediant function is most easily derived through a combination of the Tonic Parallel function and the Dominant Adjacent function. | '''Contramediant''' - Compared to the term "''Submediant''" from traditional music theory, the term "Contramediant" may have a slightly different frame of reference, as while a "Submediant" is halfway between the Tonic and a "Subdominant", the "Contramediant" is halfway between the Tonic and the Serviant. The Contramediant is a note that occurs roughly at intervals between [[25/16]] and [[128/75]] away from the Tonic in the scale's direction of construction, and is the second of two scale degrees with the most possibilities for the realization. From a functional standpoint, the Contramediant function is most easily derived through a combination of the Tonic Parallel function and the Dominant Adjacent function. | ||
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== Antitonic == | == Antitonic == | ||
Notes that occur around half an octave away from the Tonic- especially the region extending from [[7/5]] to [[10/7]]- on account of harmonies built on notes in this area tend to oppose that of the Tonic, thus leading to the term | Notes that occur around half an octave away from the Tonic- especially the region extending from [[7/5]] to [[10/7]]- on account of harmonies built on notes in this area tend to oppose that of the Tonic, thus leading to the term "Antitonic" being used to describe the region as a whole by myself and others. It should be noted that the Antitonic is basically a First Derivative function as it is derived from the Tonic through Antipodism. In addition, the term "Antitonic" acts as a generic term for any of a group of diatonic functions found in this region. While some microtonal theorists insist that the Antitonic functionality is more fundamental than perhaps even the Dominant or Serviant, others, such as myself, disagree. | ||
=== Specific Types of Antitonic === | === Specific Types of Antitonic === | ||