is quartz hetrogenous or homogenous?
Coincidence. The second is defined by humans. Therefore any time measured in seconds [and Hz = 1/s] is going to have a numerical value arbitrarily chosen when the value of a second was specified. Now if you found a power of 2 in some dimensionless quantity, then something other than coincidence might be happening Also, the resonant frequency of a quartz crystal depends on its size, I think.