Indiana University

Piano Technology

Piano Shop Resources

Werckmeister III

  • 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 3 beats per second.
  • Tune C4 to F3 making a perfect 5th.
  • Tune D4 to A3 making a wide �c 4th beating around 2+ beats per second.
  • Tune G3 to C4 and D4. Make a wide G3C4 �c 4th and a narrow G3D4 �c 5th.
  • Tune E4 making a perfect A3E4 5th. The C4E4 3rd should beat around 4 beats per second.
  • Tune B3 making a perfect B3E4 4th. The G3B3 3rd should beat around 6 beats per second.
  • Tune C3 to C4 making a good octave with a perfect 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 perfect E3A3 4th and a perfect E3B3 5th.
  • Tune F#3 making a wide F#3B3 4th beating a bit slower than the G3C4 4th.
  • Tune C#4 making a perfect F#3C#4 5th.
  • Tune Bb3 making a perfect F3Bb3 4th.
  • Tune Eb4 making a perfect Bb3Eb4 4th.
  • Tune G#3/Ab3 making a wide G#3C#4 4th and a narrow Ab3Eb3 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 look like this with four � comma tempered 5ths. � comma 5ths are narrow by around 2 beats per second. � comma 4ths are wide by 2+ beats per second. The junk left over between G#C# and AbEb may vary but should be less than � beat per second.

F - C � G � D � A - E - B � F# - C# * G# * Eb - Bb - F

Cents, Beats and Frequency table for Werckmeister III