Thought that 13 tpi sounded as if it might be a pipe thread, since 1/2 BSP, 5/8 BSP 3/4 BSP and 7/8 BSP are 14 tpi, and NP thread pitches seem to differ from BSP by 1 tpi.
Unfortunately, Kempe's Engineer's Year book, 1982 does not admit the existence of national Pipe threads, nor does Tubal Cain's Model Engineer's handbook nor Martin Cleeve's Screwcutting in the lathe.
1/2 and 3/4 NPT and NPS appear to be 14 tpi
Zeus charts show no 13 tpi threads.
Tracy Tools catalogue shows no 13 tpi threads, so sorry, but what thread is 13 tpii remains a mystery to me.
Howard