SoftwareSerial 7-E-1 problem

I didn't expect it to be readable, nevertheless can you post the results?

Interesting would be the results of the hardware serial 8N1 as well as the results of the SoftwareSerial (8N1 too) with inversion activated (that way we have both common types of start/stop bit signaling).

May be a silly question, but do you have a scope to attach to the line to see the signal pattern?