Measures of Music and FractionsDate: 01/13/99 at 21:00:42 From: Prince Subject: Transcribing measures of music Hello Dr. Math, Can you explain how to transcribe 8 measures of sheet music into fractions? I need to include staff, punctuation, time stamp, sharps, and flats. Thank you, Prince Date: 01/14/99 at 13:09:19 From: Doctor Mike Subject: Re: Transcribing measures of music Hello, I cannot tell for sure what kind of answers you need, but here is a start. I assume you have the sheet music already. When you look at a particular note in a measure, one thing you can ask is "What fraction of a whole measure is that note?" You do not have to consider the sharps and flats to answer this, but you do need to know the time signature. Let's look at a few. The most common time is "four-four," which is written as 4 with another 4 under it: 4 beats to a measure with a quarter note (1/4 note) getting one beat. Another frequent example is "six-eight," which means 6 beats to a measure with an eighth note (1/8 note) getting one beat. Let's focus on six-eight because the numbers are different. What fraction of the measure is an eighth note? This is the same kind of situation as where you cut a pie up into 6 equal slices. One slice is 1/6 of the whole pie, and 2 slices make 2/6 or 1/3 of the pie. If you take one slice away, 5/6 of the pie is left. You remember that, right? It's the same with the measures of six-eight music. An eighth note is 1/6 of the measure; a quarter note is the same as 2 eighth notes, so it is 2/6 or 1/3 of the measure. A dotted quarter note is the same as 3 eighth notes, so it is 3/6 or 1/2 of the measure. Let's say the six-eight time measure has a dotted quarter, followed by a regular quarter note and finally an eighth note. These would be 1/2 of the measure, 1/3 of the measure, and 1/6 of the measure, respectively. One way to check your work is to make sure all the fractions add up to 1, because "all of" the measure is the fraction 1/1: 1/2 + 1/3 + 1/6 = 3/6 + 2/6 + 1/6 = 6/6 = 1 That's all I'll say for now. I hope this helps. If you need more, or if I did not answer your real question, just write back. - Doctor Mike, The Math Forum http://mathforum.org/dr.math/ |
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