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Real-Life Activities

Real-Life Math

"Math and music are certainly connected, especially with rhythm and tempo," says conductor Nan Washburn. "I'm always working out things like how to play 3 notes in the same space as 2, making sure that a 16th note is exactly 1/4 of a 1/4 note."

You are a symphony orchestra conductor. You travel constantly to act as guest conductor, fund-raiser, teacher and adjudicator, and you often work under the pressure of jet lag.

You must analyze the harmonic structure of a piece to find out which part is more important. Then you will have a better understanding of the structure of the piece and how the form makes the music stick together.

Questions:

  1. You will be flying from Seattle, Washington, to London, England, to spend 3 weeks (21 days) preparing for and conducting 6 concerts. Your fee for the 6 concerts and 12 rehearsals will be $15,000. You must pay your own expenses. The flight will cost you $1,700. Your living expenses will be $250 per day. How much money will you have after your expenses are paid?
  2. A conductor often needs to work out how to play 3 notes in the same span as 2 notes. Assume you can play 3 notes in 1.2 seconds; how long would it take to play 2 notes and how many notes could you play in 92 seconds?
  3. The 1/4 note tempo during a concert is 96 beats per minute. Slowed down to 64 beats per minute, what percentage of a reduction in tempo is this?