# Diff dc05812 -> HEAD

6 claims added, 1 changed, +18 moves.

## Added
- `c-417029` [derived] Reading the Mellin profile over omega recovers the ladder-versus-line discrimination that c-ac0b87 showed a single omega lacks, because the profile is the Fourier transform of the spectrum's log-autocorrelation and its only residual degeneracy is the phase-retrieval class.
- `c-59fce9` [derived] The argmax of the Mellin profile for a two-rhythm spectrum is pulled below 2 pi over log r by the Gaussian Q-envelope, so at cortical Q of 8 to 10 a true octave pair reads a ratio of 2.25 to 2.34 and a true 5:3 pair reads 1.81 to 1.88, a bias no taper touches.
- `c-c7c417` [derived] Under the empirical null of one peak with periodogram noise, the tapered Mellin profile's spurious maxima have 99th-percentile prominence 0.107 at 32 s and 0.031 at 128 s, so a two-rhythm resting spectrum, whose ladder prominence is 0.016-0.024, is readable only from records of 512 s or longer.
- `c-cfa62b` [derived] Tapering the log-spectrum with a Hann window before the Mellin transform removes the high-pass-corner comb of c-2eee56: the one-peak profile keeps no local maximum above omega = 4 on the worked case, and none of prominence above 0.0065 in the octave-to-golden-ratio range across 108 configurations.
- `c-e8e5ea` [derived] Re-deriving eight sampled numerical claims from their titles alone before reading their bodies replicates all five title-checkable numbers, including the authority-free control c-34cdb4, at 5 of 5 (Wilson 95% [0.57, 1]) with zero arithmetic errors.
- `c-f51cc0` [derived] The Hann-tapered Mellin magnitude of the normalised spectrum is weakly continuous at every measure that charges the open band, because its kernel is bounded and continuous on the whole half-line, which the rectangular band restriction's kernel is not.

## Changed
- `c-2eee56` contested: no -> **yes**  The local maxima that make the Mellin index report a ladder