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712 is an example of an irrational time signature. With all time signatures, the top number is telling us how many beats there will be in each bar and the bottom number is telling us what type of beat that will be. So 3/4 is telling us that there will be three quarter notes in each bar of the music. A quarter note is a quarter of a whole note. So what a time signature is effectively telling us is take a whole note, divide it into the fraction that we've given you in the time signature, so in this case, quarters, and then give us three of those quarters per bar of the music. The same logic applies with our 7/12 irrational time signature. Take your whole note, divide it now into twelfths, eighth note triplets, and then each bar of our 7/12 music is going to have seven of those. Where irrational time signatures come in useful is when we mix them in with other rational time signatures. So for example, our music could be in 3/4 and then jump to a bar of 7/12.

712 is an example of an irrational time signature. With all time signatures, the top number is telling us how many beats there will be in each bar and the bott…

Ideas in this flowchart

  • Time Signatures
  • Rational Time Signatures
  • Irrational Time Signatures
  • 3/4 Time Signature
  • 7/12 Time Signature
  • Beats per Bar
  • Type of Beat
  • Mixing Rational and Irrational
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712 is an example of an irrational time signature. With all time signatures, the top number is telling us how many beats there will be in each bar and the bottom number is telling us what type of beat that will be. So 3/4 is telling us that there will be three quarter notes in each bar of the music. A quarter note is a quarter of a whole note. So what a time signature is effectively telling us is take a whole note, divide it into the fraction that we've given you in the time signature, so in this case, quarters, and then give us three of those quarters per bar of the music. The same logic applies with our 7/12 irrational time signature. Take your whole note, divide it now into twelfths, eighth note triplets, and then each bar of our 7/12 music is going to have seven of those. Where irrational time signatures come in useful is when we mix them in with other rational time signatures. So for example, our music could be in 3/4 and then jump to a bar of 7/12.

"712 is an example of an irrational time signature."

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