The 2811 controls 3 parts, that I call LEDs. For example, a 5050 LED part. With the WS2811 IC, all three of the LEDs are wired to show the identical colors... 3 channels controlling 3 LEDs.
The 1809 controls 3 parts as well, that I also call LEDs. (and again, they may be a 5050 LED part -- and that that part has 3 components that separately produce Red, Green and Blue). Each of the three LEDs on the strip are wired to the same IC, but they have unique pins to each LED. 9 channels controlling 3 LEDs, and each LED has 3 colors.
Fasteddy produced a nice Deck... It is available to registered members of the AusChristmasLighting forum:
http://auschristmaslighting.com/forums/index.php/topic,1889.msg15570.html#msg15570
Here is another nice wiki discussion on these topics:
http://auschristmaslighting.com/wiki/AusChristmasLighting_101
i say that the 2811 has 50 pixels, 150 nodes.
the 1809 has 120 pixels and 120 nodes
I think your statement is a little misleading...
in the first example you talk about 150 nodes and I think you are talking about the 5-meter strip.
in the second example you talk about 120 pixels, and the 4 meter strip.
there is some confusion introduced because of the DLA limits. RJ originally measured the power draw on the TM1809 strips and felt that the power over cat5 should only be allowed to power 120 of these LED parts, and so he limited the node count to 120... (yes, RJ uses "node" in his software labeling... but he uses "pixel" in other places

) To accommodate, Ray Wu sells those strips in 4M lengths.
If you use the ws2811 strips, Ray does not enforce RJ's 4M length because RJ originally did not support the WS2811 strips. So Ray picked the commonly-available 5M length.
Why is this important? Because the WS2811 5M strip is providing 150 LEDs -- and that would exceed RJ's intended 120 LED limit... but the WS2811 only allows those to be accessible as 50 pixels (or nodes in RJ's terminology). So, using WS2811 with DLA allows you to exceed the approved power-over-cat5 limit. 50 pixels and 150 LEDs is more than RJ would suggest as acceptable. Heck, you could connect WS2811 strips together to have 120 pixels -- 360 LEDs and RJ's imposed limits would work -- you might blow a fuse, but the programming would allow 12M of WS2811 flex per SSC. If you wanted to do this, use power injection!!
I agree, common terminology would help. There have been folks working in this space for quite some time, and many have become set in their ways, so it might be difficult to change it now.