RHY.8:4 - Solution
RHY.8:4.1 - Fix the receiving use and retained relations
State what the variation should accomplish and what must remain available. Relevant retained relations include an entrance or ending, cycle length, ordering of characteristic articulations, a continuing carrier, a partner’s cue, and the ability to perform the following phrase.
Name the performing arrangement and preparation that matter: voice with a beat gesture, one limb or alternating limbs, a pair sharing contact, or a device with known action limits. Use an existing RHY.7 comparison to identify the property worth changing. The same nominal pattern can require a different construction after its assignment to performers changes.
RHY.8:4.2 - Choose a construction whose effect is understandable
Choose an operation from the rhythmic material and the intended change.
| Wanted change | Construction | Relations to examine after the change |
|---|---|---|
| Enter at a different place in a cycle | Add a displacement to each selected occurrence and reduce positions modulo the cycle length. Move associated duration and sound labels with the occurrence when that is the intended transformation. | Entry cue, phase relative to other layers, and material crossing the cycle boundary. |
| Expand or compress a phrase | Scale its durations, or add/remove a specified part of each repeated statement; recompute the phrase’s total span. | Tempo, internal articulation, available action intervals and its fit with adjoining material. |
| Make a repeated ending reach a chosen point | Choose statement and intervening-gap durations, calculate the whole ending and work backward from its endpoint. Adjust the setup by the corresponding amount. | The convention for the final articulation, the maintained reference and the available preceding material. |
| Distribute a given number of attacks over a cycle | Choose an arrangement, such as an evenly distributed seed, then retain the phase and articulations needed by this use. | Minimum intervals, entry, accent and the intended style; evenness is one construction choice. |
| Change the articulation of a continuous contribution | Reposition or reshape its marked changes while retaining the required trajectory, support or sounding contribution. | Continuity, available movement or control rates, usable timing and the state needed for continuation. |
| Build a larger passage from familiar parts | Concatenate, overlap or alternate parts under explicit timing and allocation relations. | Boundary transitions, simultaneous demands and the whole passage’s intended development. |
A named tradition can supply a more specific construction. In Nelson’s treatment of a mōrā, three statements are separated by two equal-duration gaps. A gap can include sound; it is a structural separation, not a synonym for silence. A kōrvai can build a larger, shaped composition whose closing portion is a mōrā. Use the learned phrase grammar and setting when constructing either, rather than treating the names as labels for arbitrary repetition.
For the simple equal-statement case, let s be the statement’s duration and g each gap’s duration, measured in the same pulse unit. The total is D = 3s + 2g. If T is the boundary after the final statement, the start is T − D. A last attack, the completion of its duration and a later arrival accent are different possible targets; select the one actually required.
RHY.8:4.3 - Calculate the whole effect and recover omitted content
Apply the construction, then examine the relations named in the first step. For a cycle, include the transition from its last event to the next cycle’s first. For a phrase, include both its entry from preceding material and its exit. If an enlarged ending starts earlier, decide what preceding material can actually be shortened or moved.
Recover the information a chosen representation omitted before relying on it. An onset-only syllable string may not specify how long a sound continues or where silent beats lie. Obtain that duration or reference when the transformation depends on it; otherwise transform only the content the string determines. RHY.5–RHY.6 supply the representation and correspondence work.
When composing variants, calculate their combined effect. A displacement followed by a duration change need not preserve the same boundaries as the operations in the opposite order. Keep the order that yields the intended passage and explain it through the resulting positions, durations and contributions.
RHY.8:4.4 - Establish the next warranted performance step
Check the proposed assignment of actions against known limits at the intended tempo. Include articulation, sustained contributions, cue reading and recovery for the next action. A change in notation alone cannot supply a missing constituent coordination.
Reject or alter a variant that conflicts with a relevant known constraint. If the constraint leaves several useful variants, retain their different contributions through RHY.7 and make the choice under C.11. Obtain a new observation only when it can change that choice or the reliance placed on the variant.
For a suitable trial, use a manageable passage with familiar techniques and the conditions needed to expose the question. RHY.3 checks articulation with its carrier, RHY.9 the performing arrangement, and RHY.10–RHY.11 the necessary shared reference or joint layers. When the limiting condition is an unavailable technique or capability, return it to instruction or development rather than demanding more force or speed.
RHY.8:4.5 - Return a variant that someone can enact and assess
Supply enough to reproduce the intended change: the passage or demonstration, reference, duration and articulation conventions, performing assignment, retained conditions and the result expected in the receiving activity. A short demonstrated variation may suffice; repeatable distributed use can need a score, sound example or code.
Distinguish what was calculated, what was demonstrated and what remains to be tried. A proposed variant is usable for a trial before a claim of reliable performance is supported. An observed local success retains its tempo, partner, support and other consequential conditions.
Stop when the needed variant and its next use are determined, or return the constraint preventing construction. Further novelty is useful only if it opens another wanted rhythmic action or performance possibility. When the intended use or a retained condition changes, recheck the affected construction and its fit with the passage; keep unaffected results.