Part III - Arrange and coordinate performance

RHY.9 - Arrange Rhythmic Actions and Timing Cues

Type: Method Status: Stable

RHY.9:1 - Problem frame

Use this when a passage is individually performable but its participants cannot receive or act on the timing information they need while doing their own parts. A player’s hands may be occupied when a visible cue is needed. An audible attack may arrive too late to prepare a simultaneous entry. A cue may be clear in a demonstration and hidden from the position used in performance.

Start with the passage, its performers and the next relation that fails. Arrange the production of the rhythmic contributions and the availability of the needed cues together. The first result is a usable allocation and cue arrangement for that passage, a proposal ready for a suitable trial, or an identified missing contribution.

Use an established adequate arrangement directly. When the problem concerns the wider performing whole—its instruments, support, placement or responsibilities—MDPE.3 supplies that configuration method. Here the question is how rhythmic action and timely information can coexist within it.

RHY.9:2 - Problem

Producing the desired event and making its timing usable to another performer can require different actions. Removing a movement that makes no sound may remove the receiver’s preparation cue. Adding a count or gesture can occupy the body part, channel or attention already needed by another contribution. Component availability therefore leaves a joint arrangement to be solved.

RHY.9:3 - Forces

RHY.9:4 - Solution

RHY.9:4.1 - Recover the contributions and their receivers

Take a short passage containing the difficulty, including its entry and continuation. Identify what must continue, what must be articulated, who produces each contribution, and who needs timing information from it. RHY.2 and RHY.3 supply these distinctions when they are unresolved.

For each consequential cue, ask what its receiver must learn: the next entry, a cycle position, an approaching change of pace, a release, or permission to recover at a later landmark. Retain an already shared convention or demonstrate the intended cue. The same head movement can otherwise be read as an accent, a tempo change or preparation for an entrance.

A solo performer may use an internal reference. A partner can use it only through some accessible consequence. Add an external cue only where that receiving need exists.

RHY.9:4.2 - Allocate production and cueing without losing another contribution

Assign the required sound, movement and cue actions to available performers or means. Inspect their overlap in the passage. A hand making a reference gesture may also be needed for an instrumental stroke; a performer reading a score may not see a small peripheral movement.

Choose a concrete repair: expose an existing preparatory movement, change the receiver’s access, move the cue to another available channel, reassign a contribution, or simplify a conflicting articulation. Preserve the rhythmic and stylistic relations the passage needs. More or larger signals are useful only if the receiver can use them without losing another task.

Use familiar, appropriately supported bodily or instrumental actions. If the proposed allocation requires a technique the performer does not have, return that capability question to RHY.12 instead of treating the assignment as its realization.

RHY.9:4.3 - Make the information usable before the dependent action

Trace the needed relation from cue production through availability and interpretation to preparation and the receiving event. A cue may announce a future event; waiting for that event’s sound would provide different information at a different time. RHY.4 helps distinguish the physical event from the moment or feature the receiver uses.

For a controller or a measured arrangement, compare available advance time with the applicable delivery and preparation times. Include variation where it matters. If the receiver can prepare and wait for a known target time, enough advance information can solve a problem that reacting to the final attack cannot.

For ordinary rehearsal, a clear preparatory gesture followed by a short joint trial may answer the question without timing measurements. Seek a delay estimate only when its possible values would change the arrangement. A precise command timestamp alone does not establish when the action or usable cue occurs.

RHY.9:4.4 - Try the receiving relation while the passage continues

Use the arrangement in the part of the passage where the receiver needs it. Observe whether the receiver obtains the intended information, prepares the contribution and continues the other required actions. Compare with the troublesome arrangement when that contrast can localize the remaining difficulty.

Keep cue availability separate from correction: a visible gesture can be available while performers still disagree about which beat it marks. RHY.10 resolves that reference and adjustment question. If adding the cue disrupts another simultaneous contribution, use RHY.11 to resolve the joint relation.

Include a familiar recovery at a recognizable later point if entry is missed. Do not demand a hurried catch-up that defeats the available technique or support. Existing domain limits and stopping conditions govern the trial.

RHY.9:4.5 - Retain the useful arrangement and its scope

Keep the allocation, cue meaning and access that answer the receiving task. Preserve the conditions that matter—such as sightline, tempo, preparation, equipment or a continuing support gesture.

A calculation can justify a trial; an observed local success can justify retaining that arrangement in comparable use. Wider reliability and transfer remain separate questions. Stop when the next performance decision is possible, or name the unavailable cue, action or capability that prevents it.

Reopen the affected allocation or cue relation when the passage, performer, channel, placement, tempo or preparation changes. Reuse the relations those changes leave intact.

RHY.9:5 - Archetypal Grounding

RHY.9:5.1 - A timely command whose cue arrives too late

In a constructed stage controller, a receiver must make an event at 2.00 seconds. A cue identifies that future target time. The supplied bounds are 0.05 seconds for cue delivery and 0.40 seconds for preparation; after preparation the receiver can wait until the target.

Sending the cue at 1.65 gives latest readiness at 2.10. Sending it at 1.50 gives latest readiness at 1.95, leaving 0.05 seconds before the target. Choose the earlier cue for a trial under those bounds. The intended event time stays 2.00.

The calculation concerns advance information and readiness. It does not establish audience-perceived timing or the bounds’ validity for another mechanism. If the delivery delay is unresolved enough to cross the available margin, return that uncertainty or choose an arrangement with sufficient known margin.

RHY.9:5.2 - Preserve the sound while changing cue access

A constructed ensemble passage requires a player to sustain an already learned brush motion while making an accent with the other hand. The partner needs a visible preparation cue before entering. Suppose a short rehearsal establishes the following:

Retain the third arrangement for these conditions. No new gesture technique is needed. If the performance position cannot change, the same result becomes a concrete need for another accessible cue, not evidence that the partner should simply try harder.

RHY.9:5.3 - A beat gesture preserves reference but not sound duration

A learner recites an onset-syllable pattern while a teacher shows every beat. The teacher’s gesture can keep the reference available through an unspoken position. Whether the earlier sound continues or a rest occurs still needs the duration-bearing score, demonstration or agreed instruction.

RHY.5 chooses that representation and RHY.6 checks the correspondence. The cue arrangement retains the teacher’s gesture for reference and the demonstrated duration for realization. With either removed, only the conclusions dependent on it need reconsideration.

RHY.9:6 - Bias-Annotation

Visible and audible cues are prominent in the examples. A performer may instead use contact, proprioception or an equipped display. Those alternatives need the same receiving-action question, with their own access and interpretation conditions. A mathematical timing bound is not a prescription for bodily reaction time.

RHY.9:7 - Conformance Checklist

• The failed receiving action and the timing information it needs are recognizable.
• Production, cueing and the other simultaneous demands have a compatible allocation or a named conflict.
• Advance information is available in time for the required preparation.
• The receiving relation is considered during the actual passage, including continuation and recovery.
• A proposal, calculated compatibility and observed performance retain their different conclusions.
• Changed conditions reopen the affected relation.

RHY.9:8 - Common Anti-Patterns and How to Avoid Them

RHY.9:9 - Consequences

The arrangement can make an existing capability usable without prescribing more training. It can also expose a missing coordination or an inaccessible cue that practice alone will not repair. Extra signalling remains a cost when the receiving task does not need it.

RHY.9:10 - Architectural Rationale

A performance relation includes production, information and a receiver able to act. Optimizing any one separately can defeat the relation. Preparatory movement can help precisely because it precedes the event; a second channel can help precisely because the sound-producing channel is occupied.

The method changes the arrangement only far enough to make the rhythmic contribution usable. The availability of timing information and the performer’s ability to combine the required actions remain separate constraints.

RHY.9:11 - SoTA-Echoing

Gao and colleagues’ Shimon study compared gesture conditions while pianists followed a preprogrammed robot. Head-plus-arm gestures helped in changing-tempo conditions; the constant-tempo comparison did not show that benefit. This supports a conditional anticipatory-cue option, not a universal gesture prescription or demonstrated mutual adaptation.

Lau and colleagues’ robot ensemble integration connects mechanical realization and timing communication. Its improved end-of-piece alignment motivates testing those dependencies; it does not establish every within-phrase alignment.

Cha’s Takadimi reconsideration supplies the duration-information objection. Hoffman’s teaching recommendation supplies beat-keeping movement; Birch and Walsh’s conducting proposal offers a response to Cha. A maintained beat reference still needs separate sustain/rest information; the teaching proposals do not establish comparative superiority. The general allocation method here is a synthesis of these contributions. Reconsider a selected cue when its receiving benefit, access or competing demand changes.

RHY.9:12 - Relations

MDPE.3 configures the wider performing whole. RHY.3 constructs carrier and articulation together; RHY.4 distinguishes usable timing from physical or recorded marks. RHY.5–RHY.6 supply needed representations and correspondences. RHY.10 uses the available cues for reference and correction, RHY.11 coordinates simultaneous layers, and RHY.12 develops a missing capability. RHY.14 supplies a more demanding performance or response comparison when the receiving decision needs one.

RHY.9:End

RHY.10 - Establish a Shared Rhythmic Reference and Coordinate Phase, Tempo, and Correction

Type: Method Status: Stable

RHY.10:1 - Problem frame

Use this when performers can receive one another’s cues yet disagree about entry, beat or cycle position, drift during a passage, or lose their relationship after a pause or tempo change. They may say the same count while locating it in different places.

Establish what their actions relate to, the placement they intend and how they will adjust or recover. The first result is a usable reference and coordination for the passage, or a localized missing cue, interpretation or capability.

Keep an established coordination when it serves the work. A deliberately delayed accent or expressive tempo change needs its intended relation preserved; it does not call for automatic alignment to an even click.

RHY.10:2 - Problem

Pace alone leaves entry and grouping unresolved. A common starting event leaves later drift unresolved. A visible beat leaves its relation to an offbeat or a cycle boundary unresolved. Correcting every observed difference can remove intended phrasing or cause performers to chase each other’s corrections.

RHY.10:3 - Forces

RHY.10:4 - Solution

RHY.10:4.1 - Establish the reference the passage actually uses

Demonstrate or identify the recurring reference, entry and any larger grouping that matters. Specify through performance, notation or ordinary language which event or feature marks each needed landmark. A pulse, a cycle beginning and the accent of a phrase may occur together once and diverge later.

Make local references compatible where interaction requires it. One performer may count two equal divisions while another counts three over the same span. They need to recognize the relevant common landmarks; they need not use identical internal counting.

Use RHY.4 if the physical mark and the cue the performer receives disagree. Use RHY.9 if a necessary cue is unavailable during the passage.

RHY.10:4.2 - Distinguish placement, pace and grouping before correcting

Compare the intended relation with the received or performed one.

• A roughly constant displacement at an otherwise matching pace calls for a placement question.
• A displacement that accumulates across comparable events calls for a pace, period or changing-delay question.
• A correct local beat with a wrong entrance can call for cycle position or grouping.
• A missing response during sustained sound or silence can call for a continuing reference or an unresolved duration.

These are diagnostic contrasts, not exclusive causes. A changing cue delay can resemble a tempo error. An intended expressive displacement can resemble accidental lateness. Compare the relevant passage under a small useful change rather than infer a mechanism from one timestamp. When source pace and cue delivery remain plausible alternatives, compare source events with the received cues using an available independent reference or a suitable alternative cue channel. Obtain an additional timing observation only if that distinction changes the correction.

State the relation worth preserving: coincidence, a deliberate offset, alternation, shared phrase arrival or another recognizable coordination. The allowed variation comes from this use and the performing conditions.

RHY.10:4.3 - Choose how performers follow and adjust

Determine which information each performer uses for the current part of the passage. With a fixed recording, only the live performer can adjust that relationship. With mutually responsive partners, adjustments can be shared. Leadership may change at a phrase boundary or a signalled tempo change.

Make the arrangement understandable in practice: show the preparation, play or move the passage, and agree on the cue for a change where agreement is needed. Distinguish a cue announcing a new pace from a local expressive accent.

When corrections alternate or grow, compare a smaller correction, a clearer reference, or one temporarily stable contributor. Judge the combined response and retained phrasing. Do not assume that each performer correcting the full difference produces the fastest or most useful recovery.

A controller can implement explicit feedback gains. A performer may use learned adjustment without calculating them. Model parameters describe or prescribe a selected mechanism only under its assumptions; a fitted coefficient does not by itself identify the performer’s conscious rule.

RHY.10:4.4 - Preserve reference through gaps and plan a return

Carry the reference through rests, sustained actions and unarticulated beats when later entry depends on it. Available means include familiar internal continuation, visible or felt movement, a partner’s ongoing part, an appropriately timed cue or a duration-bearing representation.

Keep reference information distinct from what happens between landmarks. A gesture on each beat does not say whether a sound continues, stops or changes between them. Recover that content through RHY.5–RHY.6 when needed.

Choose a recognizable re-entry point if the reference is lost. A missing attack need not require restarting the entire performance. The return must be achievable with the available preparation; otherwise simplify, wait for a later agreed point or stop under the practice’s conditions.

RHY.10:4.5 - Try entry, continuation, change and recovery where needed

Use the relevant portion of the passage and the disturbances that matter to the current choice. A stable entry does not answer a tempo-change problem; an aligned ending does not answer an internal coordination problem.

Observe the intended relation along with the continuing sound, movement and partner task. Retain a correction that restores the useful relationship without losing them. If the performers understand the relationship but cannot enact it together, return the particular coordination need to RHY.11 or RHY.12.

Stop when the next performance or practice choice is supported. A local trial may be sufficient. Use RHY.14 for a stronger comparison and RHY.13 for a transfer or retention claim; neither is required merely to retain a familiar useful cue.

Reopen the affected reference, following relation or recovery when the partner, tempo, grouping, cue, equipment or support changes. Keep an unchanged sufficient part.

RHY.10:5 - Archetypal Grounding

RHY.10:5.1 - A placement difference and accumulating drift

A constructed reference has event times 0.00, 0.50, 1.00 and 1.50 seconds. One response gives 0.08, 0.58, 1.08 and 1.58: its intervals match, with a constant 0.08 displacement. Another gives 0.00, 0.52, 1.04 and 1.56: its intervals are 0.52 and its displacement grows.

Suppose a controller is intended to coincide with the reference, its event identification is sound, and its configuration permits re-entry at the future 2.00 landmark. For the first response, retain the 0.50 interval and correct the entry placement. For the second, change the interval to 0.50 and re-establish entry at that landmark. These are different repairs.

The series alone does not establish why a human performed either pattern. If the 0.08 displacement were intended phrasing, the first series would already meet that relation.

RHY.10:5.2 - Two complete corrections can undo each other

Consider a constructed pair of ideal controllers producing matched events with the same period. B is 0.10 seconds later than A. A delays its next event by a fraction a of the difference; B advances its next event by a fraction b. With no other disturbance, their next difference is (1 - a - b) × 0.10.

If both correct the whole difference, a = b = 1, the difference becomes −0.10: the order reverses, without reducing its magnitude. Under these stipulated conditions, choosing a = b = 0.5 removes the difference on the next event.

This is a calculation about the selected controller, not a universal optimum for people. Delivery delay, noise, preparation and intended expression can change a useful choice. The practical result is to inspect the combined correction instead of demanding a complete correction from every participant.

RHY.10:5.3 - Continue through a silent or sustained span

A constructed four-beat phrase has beats at 0.0, 0.5, 1.0 and 1.5 seconds and a new phrase at 2.0. Its first sound starts at 0.0. The supplied score says it continues for one second, followed by a one-second rest.

An onset-only recitation marks the first sound and the next phrase but leaves the intervening duration unspecified. A familiar four-beat gesture maintains beat and cycle position; the score or timed demonstration supplies the sustain and rest. Together they specify when to stop the sound and when to re-enter.

Suppose the learner, already able to sustain and release that sound, performs the stated durations and enters at the demonstrated next phrase while using the gesture. Retain this supported coordination. Whether the learner can continue after the gesture is withdrawn is a separate RHY.13 question.

RHY.10:5.4 - A changing delivery delay resembles a changed pace

In a constructed remote-cue case, the receiver obtains events at 0.10, 0.62, 1.14 and 1.66 seconds. Their 0.52-second intervals fit both a source whose period is 0.52 with constant delivery delay and a source whose period is 0.50 with growing delivery delay. The intended coordination is with the source performance.

An already available source-side record, aligned to the same time reference, gives 0.00, 0.50, 1.00 and 1.50. Subtracting these values from the received times gives delays of 0.10, 0.12, 0.14 and 0.16. Within the stipulated event matching and clock accuracy, the growing difference belongs to delivery; it does not justify changing the source’s continuing pace.

The selected move is to try an available cue channel with stable delay and establish the intended entry relation while retaining the 0.50 period. Its usability still needs a joint attempt. The calculation does not establish a human response or identify which component causes the delay.

Had the source-side times instead been 0.00, 0.52, 1.04 and 1.56, the same received series would have a constant 0.10 delay. The next question would concern the source pace and whether its change was intended. Without a usable second reference, keep both explanations open and choose a familiar cue contrast that could distinguish them.

RHY.10:6 - Bias-Annotation

The worked calculations use periodic matched events because their alternatives are easy to inspect. Many performances use changing tempo, unequal subdivisions or continuous cues. Apply the relevant landmarks and received features rather than impose a uniform grid. The examples establish no general human reaction or correction constants.

RHY.10:7 - Conformance Checklist

• Entry, local beat and larger grouping are distinguished where the passage needs them.
• The intended placement is established before deviation is treated as error.
• The chosen following or mutual adjustment can operate with the available cues and preparation.
• Continuing reference and duration are available through the relevant gaps.
• The useful relation is checked where the difficulty occurs, with an achievable return.
• Local success is distinguished from transfer, and changed conditions reopen the affected choice.

RHY.10:8 - Common Anti-Patterns and How to Avoid Them

RHY.10:9 - Consequences

Performers can preserve meaningful timing differences while repairing loss of coordination. Distinguishing placement, pace, grouping and support prevents one generic demand to “keep time” from prescribing incompatible corrections. A useful local arrangement can remain simple; a quantified control model is optional.

RHY.10:10 - Architectural Rationale

Rhythmic coordination relates actions through a reference and reciprocal or one-way use of information. It can therefore fail despite a shared vocabulary or matching nominal tempo. The method keeps the intended relationship, the information used to sustain it and the actual adjustment separate long enough to choose a repair.

Correction is constrained by the same constituent capabilities that support the passage. A performer who cannot prepare the required action cannot recover merely by identifying the right beat. Developing that capability and altering a cue arrangement are different useful responses.

RHY.10:11 - SoTA-Echoing

Carvalho and colleagues’ Kalman-filter ensemble model separates phase and period correction and permits varying gains. Its reported quartet experiment uses retrospective smoothing with phase correction; it does not establish a generally optimal live controller. Use its formalism when estimating such a mechanism is the actual task, rather than prescribe its parameters to all performers.

Li and colleagues’ 2026 violin study qualifies a uniform adjustment rule: auditory correction depended on the performance conditions, and the predicted general increase towards a recording was not found. Its bounded ensemble task supports inspecting the actual interaction rather than assuming automatic compensation.

Nelson’s Solkattu Manual (2008), printed pp. 15–17, supplies phrase-against-gesture practice. Cha’s Takadimi critique makes omitted duration and unarticulated reference positions explicit. Their contributions support the gap-continuation construction; they establish no universal training duration or one preferred cue for every performer.

RHY.10:12 - Relations

RHY.4 establishes which events or received features the timing claim concerns; C.27 supplies general temporal qualification. RHY.9 supplies usable cue access. RHY.11 coordinates the simultaneous parts related by the reference. RHY.12 develops a missing capability, RHY.13 tests support dependence or transfer, and RHY.14 obtains the performance or response comparison actually needed.

RHY.10:End

RHY.11 - Coordinate Simultaneous Rhythmic Layers

Type: Method Status: Stable

RHY.11:1 - Problem frame

Use this when a performer or group can produce parts separately but loses their intended relationship when they occur together. A voice may copy the accents of the beat gesture instead of keeping its phrase. A continuous movement may stop at every instrumental attack. Two regular action sequences may compete for the same mechanism.

Recover what each contribution must retain and how the contributions relate. Construct and try the combined passage. The first result is a usable joint coordination, a qualified construction for a trial, or a localized conflict or missing capability.

When the parts already coexist as required, use that performance directly. A lesson sequence is needed only when developing or restoring the joint capability becomes the next question.

RHY.11:2 - Problem

A description can place several parts on the same time line without giving a performer a way to realize them together. Conversely, forcing every part onto the same accents can make execution easier while removing the intended rhythm. Separate success, aligned notation and a shared count leave joint production unresolved.

A particularly demanding instance combines a regular pulse with accents whose places can be chosen relative to it. The accent may shorten the next pulse interval or make the sustaining movement stop. Conversely, the regular movement may pull the accent towards its own convenient turning point. The intended result retains both the pulse and the chosen accent placement. Learning one fixed combined figure can supply that figure without yet supplying freedom to change the accents.

RHY.11:3 - Forces

RHY.11:4 - Solution

RHY.11:4.1 - Recover what must obtain together

Identify the overlapping contributions and their bearers: for example a vocal phrase, a reference gesture, an instrumental pattern, a continuous body movement and a partner cue. Retain each contribution’s required order, duration, grouping, accent or continuous course.

Include entry and the following action. A combination that works only until the last accent can still defeat the passage. Use sufficient RHY.2 descriptions and RHY.5 representations rather than reconstruct them.

Ask which differences are essential. The voice may cross gesture boundaries; the movement may continue through silence. Those relations define what the combined performance must preserve.

RHY.11:4.2 - Find the relations that make joint timing recoverable

Locate the relevant shared landmarks, intended displacements and intervals. For commensurate periodic parts, a common subdivision can make coincidence and alternation visible. Retain each part’s own grouping on that subdivision.

Use a few shared arrival points or demonstrated relations when a fine count is unnecessary or obstructive. For continuous contributions, relate identifiable portions of the course—such as a rise, turn or release—to the other part without reducing the whole course to those markers.

Do not force a common repeating grid on material that lacks one. A free phrase can relate to a sustained movement through a particular entrance or release; the interior relation may remain deliberately flexible. State the relationship the performance actually needs.

RHY.11:4.3 - Check simultaneous demands, not just separate schedules

Map the required actions onto the body parts, performers or mechanisms that produce them. Compare overlapping preparation, recovery, attention and cue use. RHY.9 repairs the allocation or access when a contribution has nowhere to occur.

Distinguish rhythmic layers from the methods that make them possible. Keeping balance, maintaining contact, articulating a phrase and performing the larger figure can occur together through constituent and encompassing methods. They are not automatically four separate rhythm lines. Conversely, two instrument parts can be parallel rhythmic layers without either method being part of the other.

If an individual can recall the figure and produce its components but loses a needed coordination in combination, locate that joint demand before adding repetition. RHY.12 addresses the missing capability at the relevant level.

RHY.11:4.4 - Establish the joint relation and restore complexity selectively

Use a familiar feasible means to make the wanted relation perceptible and executable. Options include a demonstrated composite, an external reference, separately allocated parts, slower compatible performance, or a simplified articulation that preserves the essential cross-layer relation.

Try the parts together. Then restore the omitted contribution whose addition matters next. Keep the common landmarks and each part’s own organization. If one part begins copying the other’s accent or tempo, return to the specific relation that was lost rather than restart unrelated learning.

Choose changes compatible with the actual technique. A slower tempo can alter balance, gesture, phrasing or control demands; success there supports only the corresponding conditions. Do not infer full-tempo capability from the diagram or slower construction.

RHY.11:4.4.1 - Keep a common time while allowing different actions

For a pulse with independently chosen accents, first distinguish the time being maintained from the movement used to maintain it. A regular pulse has recurring events at the required intervals. Its producing movement can accelerate, slow down, reverse and redistribute effort within each interval. A brush circle and a standing leg’s pressure–release need not have constant instantaneous speed or force.

Give both actions one recoverable temporal relation. Establish the beat, phrase or other reference that the passage uses, and locate the accent relative to it. Hear, speak, demonstrate or represent the combined result with its actual gaps. An accent halfway between beats must remain halfway between them; placing it on the next beat changes the result. When an external metronome supplies the pulse, the performer’s accent cannot physically alter that pulse. When the performer also produces the supporting movement, the actions share bodily resources and can disturb each other. The external reference can expose that disturbance while the performer constructs the joint action.

Prepare the accent within the continuing action. Choose a realization whose preparation and recovery fit between the required events. Keep the supporting movement going while the other contribution approaches its target. Start that approach early enough for the intended sound, contact or weight event to arrive at its chosen place. If the accent is late because its excursion takes too long, begin the preparation earlier or use a smaller feasible excursion while preserving the required articulation. Starting every preparation on a beat is unnecessary when the accent belongs elsewhere. A demonstrated combined phrase can make these overlapping preparations recoverable.

Allocate effort according to the two results. Give the accent a controllable means of articulation: a local change of pressure, a stroke, a free-limb movement or a different already available technique. Avoid recruiting a whole supporting movement merely because it makes the accent easier. For example, a short stroke can articulate while the other hand completes its sweep; an unloaded toe contact can articulate while the standing leg continues its pressure–release. The actual technique must preserve balance, contact, sound and continuation. Compensating changes of effort may help preserve the pulse: useful coordination does not require every part of the body to remain physically unchanged.

Correct the contribution that missed its target, using the intended relation. Attend to the pulse before and after the accent as well as to the accent’s place. If only the accent was late, change its preparation or articulation; do not make its accidental arrival the next starting point of the pulse. If the supporting cycle lengthened, restore that cycle against the selected reference and inspect the accent again. If both drifted together, their mutual agreement alone can hide loss of the musical reference. RHY.10 supplies a permitted phase or tempo correction when the whole reference actually needs to change. During a dense passage, act through the familiar coordinated movement and assess a short trace afterwards instead of trying to issue a separate conscious command for every muscle.

Keep choices available within a feasible range. Move the next accent to another required place while retaining the support. Later change the tempo or reference as the passage requires, and relocate the accents accordingly. This retains the useful timing connection while reducing interference between the actions. A technique that works only at one habitual phase needs further development if the intended use demands other phases. If an accent requires the same support, space or recovery time needed by the next pulse, change its means or the performing arrangement. Removing a required accent or moving it to an easier beat does not satisfy that version of the task.

This is selective coupling in the practical sense: share the timing that the passage needs, while controlling preparation, articulation and correction so that one contribution does not impose its unwanted changes on the other. A performer may organize a familiar combined pattern as one action or use more separately controlled contributions; the description does not require one particular internal clock. RHY.12 develops the missing coordination through practice of this joint result.

The same construction can be tried beyond a particular instrument when the receiving activity has a continuing temporal contribution, a separately variable articulation, means to realize both, and feedback that distinguishes their two errors. Singing a varied phrase over a beat gesture is one such use. A machine can realize comparable timing requirements through scheduling and suitable actuators, but its control implementation and qualification are engineering work. Matching the requirements supports reuse of this construction; it does not transfer an already acquired human skill.

RHY.11:4.5 - Keep the combination that serves the passage

Judge the contributions together, their required relationship and the continuation. Where a combination fails, distinguish a wrong relationship, an incompatible allocation and an unavailable execution capability. They call for different repairs.

Retain a successful local combination, a proposal whose constraints are satisfied but execution remains to be tried, or the particular missing contribution. Separate practice remains useful input; it is not the joint result.

Stop with the answer needed by the next performance or development choice. Reopen the affected cross-layer relation when a part, allocation, tempo, cue, grouping, performer or continuation changes; preserve sufficient unaffected work.

RHY.11:5 - Archetypal Grounding

RHY.11:5.1 - Two against three, then a resource conflict

In a constructed six-unit cycle, part A has actions at 0 and 3; part B at 0, 2 and 4. The next cycle begins at 6.

A preserves two equal intervals of three units; B preserves three equal intervals of two. The joint sequence has successive gaps 2, 1, 1 and 2. Counting or displaying the six units makes their relationship inspectable without making A adopt B’s grouping.

Suppose one mechanism must realize all events and its supplied limit requires at least 1.5 units between successive actions. Even if coincident A/B events can be realized by one action, the one-unit gaps conflict with that limit. Both separate parts satisfy it; their single-mechanism combination does not.

Allocating A and B to two suitable mechanisms removes this particular conflict: their own intervals remain three and two. The calculation returns a compatible allocation for a joint trial, not proof of a human’s two-hand skill or a completed robot performance.

RHY.11:5.2 - Phrase accents need not follow every beat gesture

Nelson’s Solkattu Manual uses a three-beat gesture cycle with a three-syllable phrase at different rates. Consider its two-syllables-per-beat relation in beat units.

The gestures mark 0, 1 and 2, with the cycle restarting at 3. Syllables occur at 0, 0.5, 1, 1.5, 2 and 2.5. The three-syllable phrases begin at 0 and 1.5. Thus the second phrase starts between gesture beats.

Suppose a learner already performs both contributions alone. In the first constructed joint attempt, they restart the phrase at every gesture and lose the three-syllable grouping. An aligned display shows the two phrase starts across one gesture cycle; a familiar demonstration preserves that relation. In a subsequent stipulated attempt, the learner keeps the three gesture beats, both phrase groups and the return at 3.

Retain that supported combination for this rate. Its result is joint coordination with the given support. Removing the display, changing rate or performing a longer passage changes the later question; it is not covered by the stipulated attempt.

RHY.11:5.3 - Keep a continuous course while an accent crosses it

A constructed passage combines a familiar four-beat swell with an articulated accent at the third beat. The swell must continue rising until the fourth beat; the accent must not restart that course. The performer has the relevant safe instrumental technique.

Suppose separate attempts preserve the swell and place the accent correctly. In the first combined attempt, the accent causes an audible restart. Reducing the accent’s size within the already learned technique yields a second attempt in which the swell continues, the accent remains recognizable at the third beat, and the following release is retained.

Keep the second combination locally. Coincidence of attack marks would not distinguish the two results: the continuous course is the deciding relation. RHY.3 supplies a new carrier/articulation construction if no available means retains it.

RHY.11:5.4 - Move an accent without moving the pulse

Consider a constructed four-beat passage. The supporting events belong at beat positions 0, 1, 2 and 3; the next phrase begins at 4. A second contribution must articulate at 1.75. The performer has a manageable sustaining movement and a short articulation, but their combination is unsettled.

The performer first hears or demonstrates the joint result: the accent falls three quarters of the way from beat 1 to beat 2, and the next supporting event still arrives at 2. Preparation begins before 1.75. In a stipulated first attempt, the accent arrives at 1.75 but its large preparatory movement delays the next supporting event to 2.15. In a second attempt, support stays at 2 but the accent waits for that familiar movement phase and also lands at 2. These are different failures.

For the next candidate, the performer uses a smaller already learned articulation, begins its preparation early enough to reach 1.75, and continues the supporting movement through both preparation and release. In the stipulated trial, the accent arrives at 1.75 and the next supporting events remain at 2 and 3. The change preserved both targets; merely reducing the accent until it vanished would not have done so. The numbers make the intended relation inspectable and are not universal timing tolerances.

Now request accents at 0.5 and 2.75 in the following phrase. The performer must prepare those events within the same continuing pulse rather than replay the first combined figure. If the pulse stays regular but an accent slips to a beat, the new choice remains unavailable. If the intended tempo then changes, both supporting intervals and accent locations must change together. Keeping the old absolute accent times would preserve isolation at the expense of synchronization.

This worked construction distinguishes a successful local coordination from an acquired range of choices. The concrete brush and partnered-movement realizations are developed in MDPE.11:4.5; their related practice is in MDPE.10:4.6. The particular means, partner response and available recovery decide whether the construction fits each use.

RHY.11:6 - Bias-Annotation

A common grid is especially convenient for simple ratios and can bias analysis towards discrete commensurate parts. Continuous courses and flexible phrasing need their own retained relations. The worked attempts are constructed demonstrations, not reports of learning speed or evidence that a given cue works for all learners.

RHY.11:7 - Conformance Checklist

• Each contribution and its essential differences are recoverable.
• Shared landmarks or flexible relations are sufficient for the intended coordination.
• Simultaneous demands and continuation are considered under the actual allocation.
• The combined result is distinguished from separate success or a compatible diagram.
• A pulse-and-accent use checks pulse regularity and requested accent placement separately, including continuation.
• Claimed freedom of accent choice includes a changed choice; a change of reference retains the required synchronization.
• A failure returns to its relationship, allocation or capability question.
• Support and changed conditions qualify the retained result.

RHY.11:8 - Common Anti-Patterns and How to Avoid Them

RHY.11:9 - Consequences

A performer can preserve contrasting parts rather than simplify the rhythm into uniformity. Failure becomes a more specific choice among explanation, reallocation, a different realization and capability development. A successful construction remains tied to its tempo, support and performing conditions.

RHY.11:10 - Architectural Rationale

The whole imposes relations that do not appear in either part alone. Common landmarks make those relations recoverable, while allocation determines whether the same resources can support the required actions together. Neither substitutes for learned execution.

Simultaneous layers and the constituent/encompassing method vertical cross-cut each other. The same balance method can support several layers; one layer can require several constituent methods. Keeping those relations explicit helps distribute work between people and equipped agents and helps locate a missing capability without forcing one tree onto every description.

RHY.11:11 - SoTA-Echoing

Nelson’s Solkattu Manual (2008), printed pp. 15–17, supplies the explicit contrast between gesture cycle and phrase at several rates. It provides a concrete practice construction, not a universal learning schedule. The completed attempt above is constructed to demonstrate the resulting method.

Toussaint’s The Geometry of Musical Rhythm, second edition (2020), supplies useful discrete rhythmic constructions and action-allocation comparisons. A grid makes such relations calculable; continuous courses and actual joint capability require additional content.

Cha’s Takadimi reconsideration proposes added syllabic information. Birch and Walsh’s conducting response instead proposes a maintained gestural reference. That reference does not itself distinguish sustained sound from silence. Their comparison supports using complementary layers while retaining what each supplies. General joint coordination here is a conceptual synthesis; source examples do not prove its effectiveness in every movement or equipped performance.

For the specific question of pulse and freely placed accents, the useful line is a shared temporal relation with task-dependent realization and correction. Historical laboratory anchors expose why simple addition is insufficient: de Rugy and Sternad (2003) report phase-dependent interaction in combined discrete and rhythmic elbow movements; Calvin, Huys and Jirsa (2010) report that a discrete wrist movement can accelerate or decelerate the other wrist’s rhythmic movement. These bounded findings motivate examining both directions of interference; neither supplies a brush or Balboa teaching technique.

Krampe et al. (2000) found different timing organizations across tempi in professional pianists’ two bimanual tasks. Use this as a reason to retain several ways of organizing performance and to recheck changed tempo. A common temporal target does not establish a single biological timing mechanism.

Mårup, Møller and Vuust (2022) compared rhythm/beat role assignments across voice, hands and feet in right-handed participants; assignment affected joint performance even though the parts could be performed separately. Mårup et al. (2024) found related performance differences in professional musicians under the studied assignments. Consider allocation as one changeable condition. These experiments do not establish a universal ranking for other bodies, continuous brush motions or partnered weight transfer.

Use an adequate learned combined pattern directly when the passage is fixed. Develop the additional range of accent choices when the receiving performance needs it. Reconsider the chosen realization when a changed phase, tempo, support or allocation exposes interference that the current means cannot resolve.

RHY.11:12 - Relations

RHY.2 and RHY.5 describe and represent the relevant layers; RHY.3 constructs carrier and articulation together. RHY.9 resolves allocation and cue access, and RHY.10 establishes reference and adjustment. C.32.MWA distinguishes the several structures that one performance can instantiate. RHY.12 supplies practice for a human performer’s missing rhythmic capability; RHY.13 tests its transfer or support dependence, and RHY.14 evaluates the result relevant to the receiving task.

RHY.11:End