Ben,
To kick off the responses I will focus on the Shoden level set as humbly as possible, for many in E-Budo are more qualified to respond than I:
Different Naming Conventions, Seiza waza
MJER vs. MSR
1. Mae vs. Shohattô
2. Migi vs. Satô
3. Hidari vs. Utô
4. Ushiro vs. Atari-tô
5a. Yaegaki Omote vs. Inyô Shintai
5b. Yaegaki Ura vs. Gyaku Inyô Shintai
6. Ukenagashi vs. Ryûtô
7. Kaishaku vs. Juntô
8. Tsukekomi vs. Gyakutô
9. Tsukikage vs. Shinchûtô or Seichutô
10. Oikaze vs. Korantô
11. Nukiuchi vs. Battô
Oe Masamichi, 17th Grandmaster, renamed the series to what MJER sees as the nomenclature.
MJER knows eleven distinct waza, with one variant.
MSR sees twelve in this series, with Gyaku Inyo Shintai typically sequenced after Koranto.
NOTO
Although both pratice with the katana edge up in the obi, MSR returns the sword into the saya with a more circular hip motion (legacy of a tachi style mount). MSER's noto is more linear.
Points of inflection within techniques
The fruit tomato pronunciation; Just as you say tOmato, and I say tomAto, the inflection is slightly different. You will be able to identify the technique - but will notice the variations:
An example:
In MSJ Seichutô there is more of a leaping forward action coming up from seiza and a person goes down onto their knee while performing the noto, as compared with how MJER's Tsukikage is done.
John McPartland
Well, but you can't expect to wield supreme executive power just 'cause some watery tart threw a sword at you! I mean, if I went 'round saying I was an emperor just because some moistened bint had lobbed a scimitar at me, they'd put me away!