Whatever your standard, it’s always useful to be aware of these harmonic stylistic differences as it’s particularly useful for solo piano as you can mix and match the different approaches to provide textural interest.
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Fig 1 shows the basic II-V-I progression in closed, root position and you should always be aware of this in the back of your mind.
Fig 2 Shows these chords opened up in 2 ways, to provide a more resonant chord using only the same notes.
Fig 3 is an example of Bebop voicings, which are usually very sparse using only 3rds or 7ths and thus known as “shells”.
Fig 4 extends the harmony by the use of added 9ths and 13ths. Notice that this is still based on the basic “open” voicings.
Fig 5 extends this idea and shows chromatically altered extensions.
Fig 6 shows the rootless voicings used by most modern Jazz pianists. These take the important notes of the open chords (3rd,7th and possibly 9ths,11ths,13ths) and inverts them to produce intervals of 2nds and to enable the chord to fit within one hand. These voicings are only effective in the tenor register of the piano.
Fig 10,11 shows how these voicings may be used when “comping” in a rhythm section. The right hand adds a stronger trumpet like element with an octave and 4th or 5th, boosted by the thick rootless voicing of the left hand.
If you’re familiar with these approaches in all keys then you’ll have plenty to work with, especially for solo piano.