r-hop, R-hop, IR-hop, ER-hop, IER-hop are all the same basic principle based on HS5's R-hop, which he developed from the G-hop by Ishioka (Gungineer Matrix/Gunsmith Engineer).
The J-hop and/or T-hop I have no idea, but if I had to guess they are flat hop variants.
The J-hop and/or T-hop I have no idea, but if I had to guess they are flat hop variants.