Second inversion chords have the most rules when it comes to part writing. To exist in a progression, they have to be used for one of 4 functions:
A I6/4 chord is close to functioning in the same way as the V. It has the most static motion in a movement to the V.
The Cadential 6/4 uses a I6/4 as an extention of the dominant leading to a cadence. Progression: I - IV - I6/4 - V - I.
Lead Sheet: C - F - C/G - G
Soprano: C5 - C5 - C5 - D5
Alto: E4 - F4 - E4 - G4
Tenor: G3 - A3 - G3 - B3
Bass: C3 - F2 - G2 - G2
Roman Numerals: I - IV - I6/4 - V
Without the cadential 6/4, we would have parallel perfect fifths in the soprano and alto voices between the IV and the V. The cadential 6/4 avoids this problem by sticking a I6/4 in between the two chords as an extention of the dominant. It functions with the dominant chord as one. The I6/4 goes to a root position V chord. This means that the interval of a 6th resolves to a 5th, and the interval of a 4th resolves to a 3rd.
If you have a progression of I - V - ii6/4 - V6 - I, the last 4 chords move the bassline in a sol - la - ti - do motion. With do in the soprano voice on the I chord, the soprano line moves in contrary motion to the bass line as do - ti - la - sol - sol. The inversions in the bass line create smooth voice leading in all the voices that make it easier to avoid part writing errors.
Lead Sheet: C - G - Dm/A - G/B - C
Soprano: C5 - B4 - A4 - G4 - G4
Alto: E4 - D4 - D4 - D4 - E4
Tenor: G3 - G3 - F3 - G3 - G3
Bass: C3 - G2 - A2 - B2 - C3
Roman Numerals: I - V - ii6/4 - V6 - I
The viio chord functions as a dominant chord. It is the same as a V7 without the root. It mostly consists of tendancy tones which makes it more difficult to resolve. As far as voice leading, the V6/4 is the same as a viio6.
Lead Sheet: C - G/D - C/E - C - Bo/D - C/E
Soprano: E5 - D5 - C5 - E5 - D5 - C5
Alto: G4 - G4 - G4 - G4 - F4 - G4
Tenor: C4 - B3 - C4 - C4 - B3 - C4
Bass: C3 - D3 - E3 - C3 - D3 - E3
Roman Numerals: I - V6/4 - I6 - I - viio6 - I6
If you have a bass line that wants to outline a triad, but you still feel that each beat deserves its own chord, you have arpeggiated motion. There may be different chords, but if the bass line outlines a triad of any kind it is arpeggiated motion.
Lead Sheet: C - F/C - C - G
Soprano: C5 - C5 - C5 - D5
Alto: E4 - F4 - E4 - G4
Tenor: G3 - A3 - G3 - B3
Bass: C3 - C3 - C3 - G2
Roman Numerals: I - IV6/4 - I - V
Any non-chord tone shape classification can be used to describe chord tones.
This includes:
All of these terms can be used to describe movement between chord tones by tagging on the word “figure.”