That bar is a zero-lead, negative rake bar with a large nose radius - 0.0015? I personally find these negative rake bars great for hogging a through hole but for boring to a shoulder in a hole that has to be accurate and have a nice finish I prefer a positive-lead bar with a neutral or positive rake insert and a smaller nose radius so I can take a smaller finish pass and still have a reasonable finish. I also prefer a flat-topped insert instead of a chip breaker.
As the others have said, this singing thing is a result of the harmonics set up by the radial and tangential cutting forces acting on the tip of the bar; the large nose radius and the negative rake insert angle are largely responsible for this. Damping the bar may help but it won't address the cause of the issue.
Assuming you are not inclined to buy another bar, my suggestion is to use an insert with a maximum 0.007" nose radius and use a holder with a round hole so you can rotate the bar in a positive direction (clockwise, looking toward the tip of the bar) as far as the edge angle of the insert will allow without rubbing. Take roughing cuts of the nose radius + 0.001-0.005" and finish cuts at about 1/3 the nose radius. Use cutting fluid and feed at a rate of about 50% of the nose radius in IPM for roughing and about half that for finishing. If feeding manually, rough fast enough to produce coils instead of chips and finish at half the roughing feed rate. I also suggest cutting only on the infeed and moving the tip away from the wall as you retract; if you have a positive cut with a reasonable DOC on the infeed you don't need a "spring pass". Finally, be sure you do not hesitate or slow down your feed on entrance to the bore; this can cause chipping or mircro-fractures of the tip and mess with your accuracy.
The other thing you can try is to use a smaller bar with better tip geometry and nose radius and cut the bore with that. I know we should use the largest bar we can but getting the job done is more important right now and lighter cuts with a smaller bar might work better.
Best of luck!