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

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=== Circumserviant Regions ===
=== Circumserviant Regions ===


The circumserviant regions are the two main regions on either side of the Serviant proper, and since the uncanny valleys around the Dominant are not present unconditionally, there is more room for actual first derivative diatonic functionality, as well as other functionalities.
The circumserviant regions are the two main regions on either side of the Serviant proper, and since the uncanny valleys around the Serviant are not present unconditionally, there is more room for actual first derivative diatonic functionality, as well as other functionalities.


'''Geminoserviant''' - This is a note that occurs roughly at intervals ranging from about 15 cents to about 30 cents beyond the 4/3 perfect fourth in the scale's direction of construction.  Although often overlooked or even outright shunned by traditional theorists, the Geminodominant is a legitimate diatonic function in terms of this analysis- albeit one only existing in non-meantone environments in which it is easily derived from the Serviant through detempering, occurring in 5-limit diatonic environments, and acting as a sort of "fraternal twin" to the Serviant, hence its name.  As typified by intervals like [[27/20]], Geminoserviants are dissonant intervals that often act as a sort of predominant and or as the inverses of Geminodominants.  The dissonance of this function relative to a chord root is useful in preventing tonicization of chords built on the Supertonic, Subtonic, the Mediant and the Contramediant, but outside of these usages and well supported chords, this kind of thing is best avoided.  Apart from diatonic contexts, Geminoserviants only rise to prominence in systems where what might otherwise function as a Serviant is found just beyond the sweet spot range near the standard issue 4/3.
'''Geminoserviant''' - This is a note that occurs roughly at intervals ranging from about 15 cents to about 30 cents beyond the 4/3 perfect fourth in the scale's direction of construction.  Although often overlooked or even outright shunned by traditional theorists, the Geminodominant is a legitimate diatonic function in terms of this analysis- albeit one only existing in non-meantone environments in which it is easily derived from the Serviant through detempering, occurring in 5-limit diatonic environments, and acting as a sort of "fraternal twin" to the Serviant, hence its name.  As typified by intervals like [[27/20]], Geminoserviants are dissonant intervals that often act as a sort of predominant and or as the inverses of Geminodominants.  The dissonance of this function relative to a chord root is useful in preventing tonicization of chords built on the Supertonic, Subtonic, the Mediant and the Contramediant, but outside of these usages and well supported chords, this kind of thing is best avoided.  Apart from diatonic contexts, Geminoserviants only rise to prominence in systems where what might otherwise function as a Serviant is found just beyond the sweet spot range near the standard issue 4/3.