# Diff 7f37d9b -> HEAD

3 claims added, 0 changed, +5 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.

