If u take Euler's product for the primes........with an S of 1.......................it starts out..........2, 3/2, 5/4, 7/6, 11/10................etc....................................if u have a fraction.............1/4......filled with water...............what portion of the urn, container, etc..........is not filled?  3/4 of it...............

Is it the part filled with water that is creating the note.................supposedly in resonance with the others............or the empty space?  Or both?


Euler product of superparticular ratios

${\displaystyle \pi /4=\left(\prod _{p\equiv 1{\pmod {4}}}{\frac {p}{p-1}}\right)\cdot \left(\prod _{p\equiv 3{\pmod {4}}}{\frac {p}{p+1}}\right)={\frac {3}{4}}\cdot {\frac {5}{4}}\cdot {\frac {7}{8}}\cdot {\frac {11}{12}}\cdot {\frac {13}{12}}\cdots ,}$

where each numerator is a prime number and each denominator is the nearest multiple of four.^[1] Other Euler products for known constants include:
Hardy–Littlewood's twin prime constant: