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Measure 1: 1 & 2 e & 3 & 4 e &
Measure 2: 1 & (2) & 3 & (4)
Measure 3: 1 & a 2 & (3) & 4 e & a
Measure 4: 1 (2 3-4)
<h3>Explanation</h3>
Each eighth note is represented by the beat it starts on, whether it be 1, 2, 3, or 4. If a beat does not fall directly on the start of the beat, that means it falls on the "&", or second half of the rhythm. That is why we right 1 & 2 &.. and so on.
Each sixteenth note is represented by the phrase "1 e & a". If a beat starts with an eighth note that continues into sixteenth notes, like in measure three, we just say "1 & a", as the "e" is taken up by the duration of the eighth note on beat 1. This goes the same for sixteenth notes at the beginning of the sequence, like beat 2 of measure 1. "1 e" expresses the rhythm of the first two sixteenth notes, then "&" takes up the duration of the "& a" in the sequence, so just "1 e &" is written.
Each half, quarter, or eighth rest are written the exact same way as any other note, just between parenthesis. When read allowed, these beats are typically whispered.
And lastly, half and whole notes are written with dashes "-" in between, like the half rest at the end of measure 4. This is written as (2 3-4).
These are just the fundamentals of writing and sounding out rhythms in music. I hope this helps you and others in your studying of sheet music. Happy learning friend :)