Math in Arts – Common Scenarios: Get Stronger

For the following exercises, select the most representative decibel level for each sound.

  1. Gas lawn mower: [latex]70[/latex] dB, [latex]100[/latex] dB, [latex]120[/latex] dB
  2. Radio playing loud enough to sing along to at home: [latex]20[/latex] dB, [latex]50[/latex] dB, [latex]70[/latex] dB
  3. Office noise on a floor of people working at desks: [latex]40[/latex] dB, [latex]60,[/latex] dB, [latex]80[/latex] dB
  4. Conversation in a quiet room: [latex]60[/latex] dB, [latex]80[/latex] dB, [latex]100[/latex] dB
  5. Fast-moving train passing by when sitting in a car about [latex]20[/latex] ft from the tracks with windows down: [latex]40[/latex] dB, [latex]60[/latex] dB, [latex]80[/latex]

For the following exercises, state the requested note.

  1. What is one half-step above G#?
  2. What is one whole step down from G?
  3. What is three half-steps above D?
  4. What is two whole steps down from A#?
  5. What is two half-steps down from E?
  6. What is an octave above B4?
  7. What is two octaves below F5?
  8. What is three octaves above G2?
  9. Given that the frequency of A4[latex]=440[/latex] Hz, what is the frequency of A1?
  10. Given that the approximate frequency of F4[latex]=349[/latex] Hz, what is the approximate frequency of F5, rounded to the nearest whole number?
  11. Given that the approximate frequency of D4[latex]=294[/latex] Hz, what is the approximate frequency of D2, rounded to the nearest whole number?
  12. Given that the frequency of A3[latex]=220[/latex] Hz, what is the frequency of A5?