The Pi Tone
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                    THE PI TONE is derived from multiplying a tone, any tone, by the transcendental number Pi.  In the above
       example, when  the E is multiplied by Pi, you get a tone slightly flatter than a high C.  This is the Pi tone. Written
       out as an equation in Hertz, it looks like this:


                                                                        E 4     *      Pi    =    C 6  
                                                                                        
                                                                       329.6 Hz   *   3.14159 =  1035.5  

                                                                                                             (10 Hz less than an equal-tempered C)

                                                                                       

                    This Pi Tone covers the interval of a Minor Thirteenth.   When transposed down an octave to a C5, it
       covers the interval of  a Minor Sixth: (13 - 7 [8ve] = 6).  There are three Minor Sixths' in every diatonic key.  In the
       key of C  major (C D E F G A B), they are E—C, A—F, and B—G.  Play with them.



                     Tone  *  Pi.  If you repeat this operation twice, and arrange all the tones in the same octave, you get the Pi Chord or        augmented chord.  The augmented is built up of Major Thirds.  E G# C.  


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                                            "Don't disturb my circles!" screamed Archimedes as the pike entered his gut,  
                                            "Have a bath, Archimedes," quipped the soldier, "In hell."


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