TOOL 01 — Temporal Rate / Period Toolbox(v1.0)

TOOL 01 is the first utility released under LØWERK SYSTEMS. It focuses on the structural layer of rhythm and modulation by separating time into three independent domains: Absolute period (milliseconds) Frequency (Hz) Musical tempo (BPM) Rather than merging these systems into a single synchronized engine, TOOL 01 keeps them mathematically independent. This allows the study of drift, friction, and structural instability. Calculator The Calculator converts between: milliseconds (ms) frequency (Hz) tempo (BPM) Core relationships: Hz = 1000 / ms ms = 1000 / Hz BPM = 60000 / ms ms = 60000 / BPM This allows precise translation between: LFO rates delay times clock periods modulation cycles The Calculator defines the base period , which can then be used as a structural reference for other modules. 4-Node Ratio Engine The 4-Node section applies ratios or multipliers to the base period. Each node is defined as: Node Period = Base Period × (num / den) This makes it possible to: build harmonic or inharmonic temporal structures create polyrhythmic relationships explore asymmetrical rhythmic grids design modular clock trees The system supports both: pure multipliers (den = 1) true rational ratios (num/den) Reference Sets Reference Sets provide predefined structural configurations (e.g. structural, macro, experimental). Custom sets allow storing personal ratio systems. Selection now auto-applies to the 4-Node engine for immediate structural feedback. Phase Drift TOOL 01 distinguishes between: Absolute time (Calculator) Musical grid (Tempo + Signature) Drift appears when: Base Period ≠ Musical Grid Division This is intentional. Rather than forcing synchronization, TOOL 01 allows observing and designing phase divergence over time. Drift is not treated as an error, but as a compositional parameter. Design Philosophy TOOL 01 is not a production shortcut. It is a structural tool for: modular environments experimental sequencing temporal architecture slow rhythmic systems phase-based compositions Web App. It runs locally in the browser. No tracking. No external dependencies.

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