Werckmeister III

1. Tune A4 to fork. The number 4 indicates notes in the octave above middle C4.
2. Tune A3 to A4. The number 3 indicates notes in the octave below middle C4.
3. Tune F3 to A3 making a wide 3rd with 3 beats per second.
4. Tune C4 to F3 making a perfect 5th.
5. Tune D4 to A3 making a wide ¼c 4th beating around 2+ beats per second.
6. Tune G3 to C4 and D4. Make a wide G3C4 ¼c 4th and a narrow G3D4 ¼c 5th.
7. Tune E4 making a perfect A3E4 5th. The C4E4 3rd should beat around 4 beats per second.
8. Tune B3 making a perfect B3E4 4th. The G3B3 3rd should beat around 6 beats per second.
9. Tune C3 to C4 making a good octave with a perfect C3F3 4th and a narrow C3G3 5th.
10. Tune D3 to D4 making a good octave with a wide D3G3 4th and a narrow D3A3 5th.
11. Tune E3 to E4 making a good octave with a perfect E3A3 4th and a perfect E3B3 5th.
12. Tune F#3 making a wide F#3B3 4th beating a bit slower than the G3C4 4th.
13. Tune C#4 making a perfect F#3C#4 5th.
14. Tune Bb3 making a perfect F3Bb3 4th.
15. Tune Eb4 making a perfect Bb3Eb4 4th.
16. Tune G#3/Ab3 making a wide G#3C#4 4th and a narrow Ab3Eb3 5th.
17. Tune F4,F#4,G4,G#4 etc. checking 4ths,5ths and octaves.
18. Tune Eb3,C#3,B2,Bb2 etc. checking 3rds, 4ths, 5ths and octaves

    The results look like this with four ¼ comma tempered 5ths. ¼ comma 5ths are narrow by around 2 beats per second. ¼ 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 ½ beat per second.

    F - C ¼ G ¼ D ¼ A - E - B ¼ F# - C# * G# * Eb - Bb - F

    Cents, Beats and Frequency table

    for Werckmeister III

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    Tuning and Temperaments     Early Music Institute     School of Music     IU Bloomington    

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