This historical Beat Explorer uses its own RL expression, (((r−1)*c+(k−1))%N)+1. Its column convention differs from the canonical TLF definition; comparisons must state the convention and phase explicitly.

The timelines, audio, autocorrelation and alignment views are exploratory visualizations. They do not establish an external-signal analysis benefit.

Naglich Squares — Beat Explorer v7

N Checking…

k b(v) = N / gcd(N, v−k)

Timeline steps Show values per beat Prime‑factor view

BPM Global click Per‑lane clicks Vol

LCM overlay Residue overlay (t mod d) Column heatmap

Polyrhythm Timeline

Autocorrelation (coincidence sequence)

Column period & cycles

Permutation columns: gcd(c,N)=1 are ticked under the timeline.

Lane Mixer (Solo/Mute)

Mini RL Grid Preview

Show numbers Highlight v = k Color mode

Visual analytics

Beat histogram

Beat table

Beat b	Count	%	Values v

gcd(N, v−k) classes

CRT / Alignment solver

Pick beats to compute L = lcm(beats). Alignments at t ≡ 1 (mod L).

Max‑coincidence report

Top k

Top columns

#	Column t	Count	Jump

Coincidence level histogram

Distribution & number‑theory stats

Raw beats (per value)

Value v	v−k	gcd(N, v−k)	Beat b(v)	Class