Also both the square root of 2 and the square root of 3 seem to play an imp. role in this.................2 + 3 = 5.................2 * 3 = 6.......................6.5........dead center..................6 + 5 = 11..................2 to 11............2 could be expressed as 1 + 1...............



6.5 is dead center .........in the series............2 - 11............................6 + 5 = 11........................the end of the series..................................also.........

where γ is the Euler–Mascheroni constant and ε_k ~ 1/2k which approaches 0 as k goes to infinity. Leonhard Euler proved both this and also the more striking fact that the sum which includes only the reciprocals of primes also diverges, i.e.

.

If u take a "top down" approach.........to the harmonic series..................and let the fundamental..........1...........the length of the string of the instrument be 1...........which can also be expressed.........1/1................11.......overlap and interconnection..................then, again.......1/9.....the next number in the h. series......is 1/10.................so if 1/1 is 11...................1/9 is 19 and 1/10..........110............they all begin with 11...........the fundamental............which is the numerator.......in the h series........................................