Not so much software I imagine, if we are talking saving patches and kits, most Universal Librarians were for the ST range, they may happen to work with the Falcon but I doubt it as they were written before the Falcon was released. I have a Falcon but have to say, never tried. Librarians such as X-OR, Super Librarian, Midi Quest, GenEdit, UniMan. It seems Midi Quest may have a template for the SR16, however I doubt Midi Quest will work on the Falcon due to the aforementioned. Google is your friend for most of the above, in fact all of the above, and it will be a case of suck it and see.
The above aside, for patterns simply a MIDI sequencer such as Cubase, Cubase 3 or Cubase Audio Falcon (CAF). Legit copies of course will require a dongle, or again Google is your friend for cracked. Studio Module for Cubase too will go some way of assisting in terms of Sysex functions. Kind regards
Atari Falcon 14mb, 68882, Dual 8gb CF, Steinberg FDI & Analog 8
Atari Jaguar, Rotary controller, Skunkboard & Cat Box
Atari 520STFM 4mb, TOS 2.06 switcher, OverScan, GigaFile, PARCP-USB, Unicorn-USB, System Solutions MiniS HD, SyQuest drives, ICD Link II, PhatBoy MIDI Controller, Philip Rees 5M MIDI merge box, SoundPool MO4, Steinberg MIDEX, SMP II, Emagic Log 3, C-Lab Unitor 2, Combiner & Export expanders