Piano Technology

Piano Shop Resources

Equal Temperament

  • Tune A4 to fork. The number 4 indicates notes in the octave above middle C4.
  • Tune A3 to A4. The number 3 indicates notes in the octave below middle C4.
  • Tune F3 to A3 making a wide 3rd with 7 beats per second.
  • Tune C4 to F3 making a narrow 5th beating � beat per second.
  • Tune D4 to A3 making a wide 4th beating 1 beat per second.
  • Tune G3 to C4 and D4. Make a wide G3C4 4th and a narrow G3D4 5th.
  • Tune E4 making a narrow A3E4 5th. The C4E4 3rd should beat around 10 beats per second.
  • Tune B3 making a wide B3E4 4th. The G3B3 3rd should beat around 8 beats per second.
  • Tune C3 to C4 making a good octave with a wide C3F3 4th and a narrow C3G3 5th.
  • Tune D3 to D4 making a good octave with a wide D3G3 4th and a narrow D3A3 5th.
  • Tune E3 to E4 making a good octave with a wide E3A3 4th and a narrow E3B3 5th. The C3E3 3rd should beat 5 beats per second.
  • Tune F#3 making a wide F#3B3 4th. The D3F#3 3rd should beat 6 beats per second.
  • Tune G#3 making E3G#3 beat 6� beats per second and Ab3C4 beat 8� beats per second.
  • Tune Bb3 making a wide F3Bb3 4th. F#3A#3 beats 7� beats per second and Bb3D4 beats 9� beats per second.
  • Tune C#4 making a wide G#3C#4 4th and a narrow F#3C#4 5th.
  • Tune Eb4 making a wide Bb3Eb4 4th and a narrow Ab3Eb4 5th.
  • Tune F4,F#4,G4,G#4 etc. checking 4ths,5ths and octaves.
  • Tune Eb3,C#3,B2,Bb2 etc. checking 3rds, 4ths, 5ths and octaves

The results are twelve equal tempered 5ths. Equal tempered 5ths are narrow by � beat per second. Equal tempered 4ths are wide by 1 beat per second. 3rds, 4ths, 5ths, and 6ths should beat faster going up and slower going down.

F = C = G = D = A = E = B = F# = C# = G# = Eb = Bb = F

Cents and Frequency table for Equal Temperament