The callback to $.each() is passed the property name and the value, in that order. You're therefore trying to iterate over the property names in the inner call to $.each(). I think you want:
$.each(myMap, function (i, val) {
$.each(val, function(innerKey, innerValue) {
// ...
});
});
In the inner loop, given an object like your map, the values are arrays. That's OK, but note that the "innerKey" values will all be numbers.
edit — Now once that's straightened out, here's the next problem:
setTimeout(function () {
// ...
}, i * 6000);
The first time through that loop, "i" will be the string "partnr1". Thus, that multiplication attempt will result in a NaN. You can keep an external counter to keep track of the property count of the outer map:
var pcount = 1;
$.each(myMap, function(i, val) {
$.each(val, function(innerKey, innerValue) {
setTimeout(function() {
// ...
}, pcount++ * 6000);
});
});