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

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'''Contravaricant''' - Named in contrast to the Varicant function, this is an interval that maps to both 1\5 and 5\24 in the scale's direction of construction, lying roughly in the middle of the 4/3 interval separating the Tonic and the Serviant above it.  Intervals in the Contravaricant region often don't consistently act as either seconds or thirds, or even act as a cross between a second and a third, only without potential for crowding in chords.  In Bass-Up tonality, this functionality is first encountered in the form of [[8/7]], though [[7/6]] is another notable interval included in this range, with intervals in this range having Predominant, Preserviant, and Dominant Parallel functions, as well as an overlap between Tonic Adjacent and Tonic Parallel functions.
'''Contravaricant''' - Named in contrast to the Varicant function, this is an interval that maps to both 1\5 and 5\24 in the scale's direction of construction, lying roughly in the middle of the 4/3 interval separating the Tonic and the Serviant above it.  Intervals in the Contravaricant region often don't consistently act as either seconds or thirds, or even act as a cross between a second and a third, only without potential for crowding in chords.  In Bass-Up tonality, this functionality is first encountered in the form of [[8/7]], though [[7/6]] is another notable interval included in this range, with intervals in this range having Predominant, Preserviant, and Dominant Parallel functions, as well as an overlap between Tonic Adjacent and Tonic Parallel functions.


'''Intersubiant''' - This is an interval that maps to both 3\7 and 11\24 in the scale's direction of construction.  Like both the Serviant and the Sycophant, intervals in this region tend to have a Predominant function, however, the way these intervals carry out this function is rather different from both as they neither act as a counterweight to the Dominant like a Serviant, nor do they completely tonicize the Dominant like a Sycophant- at least to those who are more familiar with quartertones.  In Bass-Up tonality, this functionality has its roots in the eleventh harmonic, and indeed 11/8 is perhaps one of the best examples of an interval within this range, since, as its name implies, it has a decent Predominant function without the risks of tonicizing the Dominant that arise with Sycophant Antitonics, while also having Preserviant functions.   
'''Intersubiant''' - This is an interval that maps to both 3\7 and 11\24 in the scale's direction of construction.  Like both the Serviant and the Sycophant, intervals in this region tend to have a Predominant function, however, the way these intervals carry out this function is rather different from both as they neither act as a counterweight to the Dominant like a Serviant nor do they completely tonicize the Dominant like a Sycophant- at least to those who are more familiar with quartertones.  Instead, there is a tendency for chords rooted on these intervals either to be preceded by a harmonic seventh chord built on the Tonic, to be followed by an augmented triad built on the Dominant, or to be preceded or followed by another chord with a root in the same quartertone field as itself.  In Bass-Up tonality, this functionality has its roots in the eleventh harmonic, and indeed 11/8 is perhaps one of the best examples of an interval within this range, since, as its name implies, it has a decent Predominant function without the risks of tonicizing the Dominant that arise with Sycophant Antitonics due to it feeling almost like it's in its own universe when considered apart from the Tonic, while also having Preserviant functions.  What's less expected, however, is that the Intersubiant also has Mocktyrant Functions.
What's less expected, however, is that the Intersubiant also has Mocktyrant Functions.  What makes the Intersubiant different from both the Serviant and the Sycophant is that it tends to be preceded or followed by another chord with a root in the same quartertone field.


'''Interregnant''' - This is an interval that maps to both 4\7 and 13\24 in the scale's direction of construction.  Accordingly, intervals in this region behave as a cross between a Tyrant Antitonic on one hand and a Dominant on the other in that they often contrast with the Tonic through some combination of harmonic connection and brute force contrast.  In Bass-Up tonality, this functionality has its roots in the eleventh subharmonic, and indeed [[16/11]] is perhaps one of the best examples of an interval within this range, since, as its name implies, it has decent Preserviant and Predominant functions.  However, it also has Mocksycophant Functions.  What makes the Interregnant different from both the Dominant and the Tyrant is that it tends to be preceded or followed by another chord with a root in the same quartertone field.
'''Interregnant''' - This is an interval that maps to both 4\7 and 13\24 in the scale's direction of construction.  Accordingly, intervals in this region behave as a cross between a Tyrant Antitonic on one hand and a Dominant on the other in that they often contrast with the Tonic through some combination of harmonic connection and brute force contrast.  In Bass-Up tonality, this functionality has its roots in the eleventh subharmonic, and indeed [[16/11]] is perhaps one of the best examples of an interval within this range, since, as its name implies, it has decent Preserviant and Predominant functions.  However, it also has Mocksycophant Functions.  What makes the Interregnant different from both the Dominant and the Tyrant is that it tends to be preceded or followed by another chord with a root in the same quartertone field.