My music theory studies ended 20 years ago, but I am busy with some notation by combining piano accompaniment with vocals for solo piano, for personal use.
So, in 4/4 time, music theory dictates that beamed notes are used when the beat is not on the 1,2,3 or 4 beat. Similarly, in compound time signatures like 9/8 time dotted quarter notes are common.
Correct me where I am making mistakes.
However, the notation I am busy with has dotted quarter note beats in 4/4 time. Practically you feel the 3, 3, 2 eight note beats better, so it can make sense to have two dotted quarter notes and one normal quarter beat, as this is what you feel when playing the music. But according to classical music theory this is not entirely correct. Which way in modern or nowadays notation is accepted as the better way to notated this?
The above picture is theoretically correct.
But is this one more intuitive?


