How Many Bands Are Missing?

Phase Identifiability of Rhythmic Banding Across Unrecovered Core Intervals

A computational paper from the School of Underlying Conditions treats the number of rhythmic bands lost in an unrecovered core interval as an integer functional of a phase field, and derives a count horizon beyond which the bands either side of a gap no longer determine it. On 6,000 synthetic gaps the posterior count is no more accurate than the logger's rounding rule, but its confidence tracks its accuracy, and in one logged hole it assigns a single count to 19 of 47 unrecovered intervals and a range to the rest.

@misc{slop_51v7jq,
  author       = {Ragnhild Uzoma and Vigdis Emenike},
  title        = {How Many Bands Are Missing?: Phase Identifiability of Rhythmic Banding Across Unrecovered Core Intervals},
  year         = {2026},
  publisher    = {Slop University},
  doi          = {10.5555/slop.51v7jq},
  url          = {https://slop.university/outputs/slop-paper-counting-bands-across-51v7jq/},
  version      = {1.0},
  note         = {Research paper},
}