User:Godtone: Difference between revisions

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* The '''dominant''', notated '''6'''. The number 6 looks visually somewhat like a reversed delta/d symbol, for "dominant". The 6th harmonic up to octave-equivalence is [[3/2]], the perfect fifth. The dominant should ideally always be a(n approximation of a) rooted generator.

* The '''serviant''', notated '''4'''. The number 4 should remind you that the perfect '''fourth''' is [[4/3|'''4'''/3]]. The serviant is always the octave-complement (AKA period-complement) of the dominant, with the only distinguishing feature between the two being which is a (up to octave-equivalence) a (rooted) harmonic and which is a subharmonic. The serviant should (ideally) always be a subharmonic of the tonic.

* The '''supertonic''', notated '''2''', is a stack of two dominants upwards (and octave-reduced if needed). The '''2''' should remind you that it is '''two''' dominants.

* The '''supertonic''', notated '''2''', is a stack of two dominants upwards (and octave-reduced if needed). The '''2''' should remind you that it is '''two''' dominants. It should also be clear from '''6''' * 2 = 1'''2''', as 1'''0''' is the tonic and so 1'''2''' is a supertonic above the tonic, hence "super"-tonic.

* The '''subtonic''', notated '''8''', is the octave-complement of the '''supertonic''', and is thus a stack of two serviants upwards (and octave-reduced if needed). The '''8''' should remind you that it is two (2) serviants (4) as 2 * 4 = 8.

* The '''antitonic''', notated '''5''', is approximately half of an octave, being important due to both being a less strong consonance or a dissonance and due to being the mirror line when performing octave-complementing.

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 * The '''dominant''', notated '''6'''. The number 6 looks visually somewhat like a reversed delta/d symbol, for "dominant". The 6th harmonic up to octave-equivalence is [[3/2]], the perfect fifth. The dominant should ideally always be a(n approximation of a) rooted generator.
 * The '''serviant''', notated '''4'''. The number 4 should remind you that the perfect '''fourth''' is [[4/3|'''4'''/3]]. The serviant is always the octave-complement (AKA period-complement) of the dominant, with the only distinguishing feature between the two being which is a (up to octave-equivalence) a (rooted) harmonic and which is a subharmonic. The serviant should (ideally) always be a subharmonic of the tonic.
-* The '''supertonic''', notated '''2''', is a stack of two dominants upwards (and octave-reduced if needed). The '''2''' should remind you that it is '''two''' dominants.
+* The '''supertonic''', notated '''2''', is a stack of two dominants upwards (and octave-reduced if needed). The '''2''' should remind you that it is '''two''' dominants. It should also be clear from '''6''' * 2 = 1'''2''', as 1'''0''' is the tonic and so 1'''2''' is a supertonic above the tonic, hence "super"-tonic.
 * The '''subtonic''', notated '''8''', is the octave-complement of the '''supertonic''', and is thus a stack of two serviants upwards (and octave-reduced if needed). The '''8''' should remind you that it is two (2) serviants (4) as 2 * 4 = 8.
 * The '''antitonic''', notated '''5''', is approximately half of an octave, being important due to both being a less strong consonance or a dissonance and due to being the mirror line when performing octave-complementing.