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

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 The circumserviant regions are the two main regions on either side of the Serviant proper, and there are two functions located in these regions, one of which is an actual diatonic function.  Note that antitonic and paradiatonic functions falling in this region are not covered in this section.
-'''Geminoserviant''' - This is a note that occurs roughly at intervals ranging from 3.5 cents beyond the 4/3 perfect fourth to 256/187 away from the Tonic 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 Dominant, 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.  Apart from this, Geminoserviants only rise to prominence in systems where what might otherwise function as a Serviant is found just beyond the sweetspot range near the standard issue 4/3.
+'''Geminoserviant''' - This is a note that occurs roughly at intervals ranging from 3.5 cents beyond the 4/3 perfect fourth to 256/187 away from the Tonic 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 Dominant, 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.  Apart from this, Geminoserviants only rise to prominence in systems where what might otherwise function as a Serviant is found just beyond the sweetspot range near the standard issue 4/3.
 '''Gravoserviant''' - This function is a compositing of Serviant detempering and Misoserviant (see below on Basic Parachromatic Functions).