C.36.RP:5.2 - Retain a rhythmic operation
In this constructed case, an ensemble uses an eight-pulse cycle with onsets at 0, 3 and 6. New participants can copy the recording. The next arrangement requires shifting each onset position by +2 modulo 8.
Adding two modulo eight gives 2, 5 and 0, or the ordered onset set 0, 2, 5. The operation depends on knowing the cycle, what an onset position means and how positions wrap at its end. Retaining those meanings lets a contributor produce the changed phrase.
One musician demonstrates the original and changed phrases while counting the cycle. Another participant may use written marks or a computational representation. The ensemble retains a way to obtain the rotation and perform it in the receiving arrangement. Its musical practice supplies the performance and judgement of fit.
The new phrase can become material for another variation. That continuation uses the operation and its means of performance. A claim about which phrase listeners find interesting adds the listener and musical-use question through E.10.INT.