Attempting to circumvent the 4ms setTimeout restriction

gistfile1.js

var ts = new Date();
var diff = 0;
var count = 0;

var callMe = function() {
    var localTs = new Date();
    diff = localTs.getTime() - ts.getTime();
    ts = localTs;
    console.log('Diff:' + diff);

    count++;
    if (count < 1000) {
        setTimeout(callMe, 4);
    }
};

setTimeout(callMe, 4);
setTimeout(callMe, 5);
setTimeout(callMe, 6);
setTimeout(callMe, 7);

/*
Results:
Diff:13
Diff:0
Diff:0
Diff:0
Diff:5
Diff:0
Diff:0
Diff:0
Diff:8
Diff:0
Diff:0
Diff:0
Diff:4
*/