
Harrison D. answered 09/24/22
Princeton University – A.B. in Music Composition
To understand how to answer this question, it helps to first know how to read time signatures. Time signatures are generally composed of two integers, one on top of the other (there are a few rarer exceptions, but we can leave those for now). The topmost number of the time signature refers to the number of beats that are in a given measure organized by that time signature. The bottom-most number, meanwhile, refers to the value of those beats, such as "quarter notes," "eighth notes," "sixteenth notes," etc.
To take what might be the most common example, we can read the time signature of 4/4 to mean that each measure will contain four beats (upper number = 4) where each beat is written as a quarter note (lower number = 4). If the time signature was 3/4, that would mean there are three beats (upper = 3) of quarter notes (lower = 4), and so on and so forth.
In this case, our time signature is 6/8, which means there are six beats (upper = 6) with each beat consisting of an eighth note (lower = 8). See how that works? With this in mind, if we needed to find how many sixteenth notes are in a measure of 6/8, all we need to do is remember that each eighth note can be divided into two sixteenth notes. By multiplying the number of eighth notes by two (two for each beat) we get our answer: 6 * 2 = 12. There are 12 sixteenth notes in a measure of 6/8.
Then, to find the number of thirty-second notes in a measure of 6/8, we repeat the process. Remembering that there are two thirty-second notes in each sixteenth notes, we have 12 sixteenth notes so two for each sixteenth would be 12 * 2, which equals 24. There are 24 thirty-second notes in a measure of 6/8.