This browser worksheet evaluates three-term proportional calculations for studio timing setups. Rather than calculating musical delay times in milliseconds from beats per minute ($t_{\text{ms}} = 60,000 / \text{BPM}$ for quarter notes, dotted eighths, or triplets) or reverberation pre-delay settings, this interface evaluates the Engineering Suite proportional ratio model.

### Core Formulas and Processing The tool processes three numerical inputs in browser state:

- **Primary Baseline Input ($V_1$):** Baseline numerical parameter (defaults to 100). - **Operational Multiplier ($V_2$):** Rate multiplier (defaults to 20). - **Divisor Coefficient ($V_3$):** Divisor rate factor, clamped to a floor of 0.01 (defaults to 5).

**Output Equations:** - **Main Sized Value:** Computed as $(V_1 \times V_2) / \max(0.01, V_3)$, determining the principal dimension score. - **Root Metric:** Computed as $\sqrt{\max(0, V_1 \times V_2)}$, representing the geometric mean product. - **Baseline Fraction:** Computed as $\min(100, \max(0, [V_1 / (V_1 + V_2)] \times 100))$, indicating the baseline weight.

### Worked Numeric Example A sound technician configures the following test parameters: - Primary Baseline Input ($V_1$): 160 - Operational Multiplier ($V_2$): 40 - Divisor Coefficient ($V_3$): 8

**Step-by-Step Calculation:** 1. **Main Sized Value:** $(160 \times 40) / 8 = 6,400 / 8 = 800.00$. 2. **Root Metric:** $\sqrt{160 \times 40} = \sqrt{6,400} = 80.00$. 3. **Baseline Fraction:** $[160 / (160 + 40)] \times 100 = (160 / 200) \times 100 = 80.00\%$.

### Client-Side Processing Note All calculations run in client-side JavaScript using standard floating-point operations. No tempo values, project delays, or numerical entries are sent across any network.