Traditional PC serial ports, based on members of the 8250/16550 UART families (or their clones within SuperIO chips) support some unusual serial data formats, specifically 5- and 6-bit data, and 1.5 stop bits.
Some USB-Serial adaptors (Prolific) claim to support these formats, some (FTDI) only offer 7 and 8 bit data. I don't think many microcontroller UARTs support 5 or 6 bit data either, though it's time-consuming to research that.
My own experience stretches fairly well back into the distance past, but I cannot recall ever having seen anything use a 5- or 6-bit serial data format. I would say that 7-bit data formats are old-fashioned and tend to come from the 80s or earlier, and that 5/6 bit formats are nothing more than an historical curiosity.
I'd like to recommend to a project I'm involved in which interfaces to serial ports that we drop support (or at least test coverage) for 5- and 6-bit data and 1.5 stop bits. It would be useful to establish whether anyone knows of any application for these which is still in service.
What were the legacy applications for 5 or 6 bit serial data, and do any of them still exist?