1/6 Pythagorean Comma

1/6 Pythagorean Comma Mean-Tone

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 beating 3 beats per second.

4. Tune C4 to F3 making a narrow 5th. 1/6 c. 5ths beat around 1 beat per second.

5. Tune D4 to A3 making a wide 4th. 1/6 c. 4ths beat around 2 beats per second.

6. Tune G3 to C4 and D4. Make a wide G3C4 4th and a narrow G3D4 5th.

7. Tune E4 making a wide C4E4 3rd beating 4 beats per second, and a narrow A3E4 5th.

8. Tune B3 making a wide B3E4 4th and a wide G3B3 3rd beating 3� beats per second.

   Play chords F3A3C4, G3B3D4, G3C4E4 and make adjustments as needed.

   Tune C3 to C4 making a good octave with a wide C3F3 4th and a narrow C3G3 5th.

9. Tune D3 to D4 making a good octave with a wide D3G3 4th and a narrow D3A3 5th.

10. Tune E3 to E4 making a good octave with a wide E3A3 4th and a narrow E3B3 5th. C3E3 3rd should beat 2 beats per second.

11. Tune F#3 making a wide D3F#3 3rd and a wide F#3B3 4th. D3F#3 should beat faster than C3E3 and slower than F3A3.

12. Tune G#3 making a wide E3G#3 3rd. E3G#3 should beat slower than F3A3.

13. Tune Bb3 making a wide Bb3D4 3rd beating faster than G3B3 and slower than C4E4, and a wide F3Bb3 4th.

14. Tune C#4 making a wide A3C#4 3rd beating faster than G3B3 and slower than Bb3D4, and a wide G#3C#4 4th and a narrow F#3C#4 5th.

15. Tune Eb3 and Eb4 making a wide Eb3G3 3rd, a wide Bb3Eb4 4th, a narrow Eb3Bb3 5th and a good Eb3Eb4 octave. Eb3G4 3rd should beat faster than D3F#3 and slower than E3G#3.

16. Tune F4,F#4,G4,G#4 etc. checking 4ths,5ths and octaves.

17. Tune C#3,B2,Bb2 etc. checking 3rds, 4ths, 5ths and octaves

C 1/6 G 1/6 D 1/6 A 1/6 E 1/6 B 1/6 F# 1/6 C# 1/6 G# ** Eb 1/6 Bb 1/6 F 1/6 C

Cents, Beats and Frequency Table for 1/6 Comma Mean-Tone