I've had that ever since I've owned manuals, there are moments where the "drag" on the vehicle is low enough that the tranny "sings". Sounds a lot like the older tires on Dad's car would do when he hits 60MPH and keeps it steady - it "sings".
Manuals do this quite often - from Toyotas to Suzuki's to even wife's Nissan - Shes got a CVT but the gearbox ahead of it is a 3-speed auto tranny that if you let off the throttle just right on a smooth road - it'll howl - but only when it's allowed to nearly coast - so the gears churn out this note only when you don't push the throttle too hard, else when you do, that whine disappears - and when you decelerate too - goes away. takes off the slack in the gears so the oil doesn't churn.
It is my thoughts that why I hear this noise, is due to the gearbox/differential and the engine mounts are set up in a way that you can hear their higher frequency noises better than the lower rumble that road noise is - that the shocks and struts try to take away - so you hear the higher pitched gear churn better than the low-frequency rumble of rolling bearings and tires.
So when you hear the whine, the gears are in a moment where they develop their own resonance in the meshing of the gears teeth to each other - oil gets trapped in the pockets and even air can get squeezed into the oil - a process of foaming - that although doesn't hurt the gearbox as much because it's not pressurized, a pressurized system like automatics and the engines' oil pump - can suffer from friction damages by the surface tension lost from the air in the oil reducing the pressure and volume of oil to keep the metal-to-metal clash it's supposed to do, from ever occurring.
It sounds like you have the right amounts of fluid in there - as you wear down the gears so they have fewer sharper edges and teeth mesh is a little more broad, that churn sound will dissappear and eventually you won't notice it.
The Fluid itself having a viscosity, can also bring this noise too, because cold weather makes the fluid thicker, so it clings to the gear - climbs out of the oil pan and sticks to the gears making the whine more noticeable - not from the loss of fluid, just more of the gear mesh interacting with it. As the car warms up this mesh noise moment will be touchier to obtain because the fluid isn't clinging as much to it.