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Boss lesson · The Sound Check
Exam-hall rules — tune the hall
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Exam-hall rules — tune the hall

This is the boss. No calculator — the numbers are chosen to live in your head, and 0.606 rounds to six-tenths without shame. One long sound check, worked line by line, and every answer feeds the next: write them down as you go.

The whole chapter rides in it — the warmth in the speed of sound, v=fλv = f\lambda, the string's v2L\dfrac{v}{2L}, and the beat that two close pitches make. 5★ under par here is the chapter crown. Tune the hall.

vT

v=331.3+0.606 TCv = 331.3 + 0.606\, T_C

  • vv= Speed of sound (speed)
  • TT= Air temperature (temperature)
Speed of Sound in Air solver →
λvf

v=fλv = f \lambda

  • vv= Wave speed (speed)
  • ff= Frequency (frequency)
  • λ\lambda= Wavelength (length)
Wave Speed (v = fλ) solver →
vfL

f=v2Lf = \frac{v}{2L}

  • ff= Fundamental frequency (frequency)
  • vv= Wave speed on the string (speed)
  • LL= String length (length)
Fundamental Frequency of a String solver →
f1f2fbeat

fbeat=f1−f2f_{\text{beat}} = f_1 - f_2

  • fbeatf_{\text{beat}}= Beat frequency
  • f1f_1= Higher frequency
  • f2f_2= Lower frequency

each variable a frequency

Beat Frequency solver →
no calculator in the boss room — the numbers are chosen to fit in your head