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Abstract Neighboring sarcomeres in a cardiomyocyte need not move in perfect synchrony, but it is unclear whether their local timing differences during hyperthermal sarcomeric oscillations (HSOs) are random or organized. Using the same five-sarcomere recordings that previously revealed a constrained 16-state neighboring-pair topology and an amplitude-synchrony relation for the segment-mean rapid signal (Shintani, 2026), we reanalyzed each fast HSO cycle as one local coordination summary. A topology-based circular coordinate showed that the 16 discrete patterns lie on a continuous within-cell order: adjacent positions were enriched for Hamming-1 changes and cycle-to-cycle angular drift was slower than expected by chance. Because each cell has an arbitrary angular zero point and direction, we aligned the cell-wise circles using shared local states as landmarks. This improved same-state concentration across cells from 0.582 to 0.852 ( P = 0.0013). The clearest biological translation of the aligned coordinate was mismatch placement along the observed five-sarcomere segment. Aligned angle predicted edge-biased mismatch placement (joint P = 1.15 × 10 −6 ), whereas raw angle did not ( P = 0.55). Beat timing was weaker and signed strain less robust. These findings support a mesoscale view in which local HSO nonuniformity is structured: neighboring sarcomeres share a rephasing order, and that order is most readably expressed by where the local mismatch pocket lies along the chain. Significance statement Cardiac contraction must convert noisy local events into a stable beat. This study identifies a measurable intermediate-scale variable in living cardiomyocytes. Fast HSO cycles do not wander randomly among local coordination patterns. After cross-cell alignment, they occupy a shared rephasing compass, and the clearest biological readout of that compass is where a local mismatch pocket sits along the observed five-sarcomere segment. This gives a concrete way to describe how local nonuniformity can remain structured rather than merely disruptive. Graphical abstract. Five consecutive sarcomere-length traces were condensed into one local coordination summary per fast HSO cycle. A topology-based circular coordinate revealed a within-cell order, and cross-cell alignment turned that order into a shared rephasing compass. The clearest biological translation of that compass was where the local mismatch pocket was positioned along the observed five-sarcomere segment.