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What is the rhythm and significance of three-eighths, two-fourths and three-fourths?
A beat is called a beat, and there are marks indicating the beat, such as 2/4 3/4 4/4.

It is pronounced as "four two beats", "four three beats" and "four four beats" respectively. These three beats all take the quarter note as a beat, which is the denominator. Molecules represent the number of beats per bar.

The law of the strength of 2/4 beat is strong, weak | strong, weak |, and it goes on and on, with one strong and one weak appearing alternately. You can think of it as the slogan of the playground "Let's go" and "one two | one zero |" (I think so).

3/4 beats are strong, weak and weak | strong, weak, weak, one strong and two weak alternately, suitable for relaxed music.

The 4/4 beat is a combination of two 2/4 beats, and the law of strength is strong, weak, sub-strong, weak | strong, weak, sub-strong, weak |, which is suitable for stable timbre.

I'm not sure what you said about 8/3. I just play a musical instrument, so I know some basic hopes that I can help you.