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This second ring strength series will continue to build upon the strength developed in the basic ring strength series 1.
It is important to note that the basic ring strength series 1 can be incrementally adjusted to suit your individual training needs. Additional dips, or pull-ups and eventually full muscle-ups should be added to the series when possible. In fact, prior to moving on to the second basic ring strength series, I would prefer that you stay with the first series until you are capable of 3 muscle-ups in a row.
Remember also that there are many variations of 360 Pulls that may be inserted into the series depending on your current strength levels. The 360 Pull variations are available here.
The primary difference between the first and second series is the introduction of a forward roll to support. This is essentially a rolling muscle-up. Beginning from a correct support position (back flat and chest up with the rings turned and elbows straight), lean forward over the rings while bending the arms and pulling the hips up and over. Continue on into the forward roll while allowing the wrists to bend into false grip. This is crucial; if you do not reset the false grip during the entry into the forward roll, you will need to pause in the middle of the roll to do so which is much more difficult.

If you have kept your arms strongly bent, after rolling over the rings you will find yourself in a bent-arm false grip pull-up position with your chest near your hands. From here, simply perform a regular muscle-up by leaning forward over the rings, pulling your elbows up sharply until they are pointing directly to the ceiling and shifting your false grip to a support grip.
Initially I recommend that you perform your forward rolls to support in a tuck position. Once you are comfortable with these, experiment with the piked or even straight body variations.
Yours in Fitness,
Coach Sommer
The Xtreme Rings which have been responsible for building a great deal of this athlete's strength are available here.