Performance Space Aspect Ratio Calculator
ANA›Life Services Authority›National Calculator Authority›Performance Space Aspect Ratio Calculator
.calc-container { max-width: 640px; margin: 2rem 0; padding: 1.5rem; background: #fff; border: 1px solid #ddd; border-radius: 8px; box-shadow: 0 1px 3px rgba(0,0,0,0.06); font-family: system-ui, -apple-system, sans-serif; } .calc-container h3 { font-family: Georgia, serif; font-size: 1.15rem; color: #1a1a1a; margin-bottom: 1rem; padding-bottom: 0.5rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-row { display: flex; align-items: center; gap: 0.75rem; margin-bottom: 0.75rem; flex-wrap: wrap; } .calc-row label { min-width: 160px; font-size: 0.9rem; color: #333; font-weight: 500; } .calc-row input[type="number"], .calc-row select { flex: 1; min-width: 120px; max-width: 200px; padding: 0.5rem 0.6rem; border: 1px solid #ccc; border-radius: 4px; font-size: 0.9rem; font-family: system-ui, sans-serif; color: #1a1a1a; background: #fafaf8; } .calc-row input:focus, .calc-row select:focus { outline: none; border-color: var(--ac, #3d5a80); box-shadow: 0 0 0 2px rgba(26,74,138,0.12); } .calc-row .unit { font-size: 0.82rem; color: #888; min-width: 30px; } .calc-btn { display: inline-block; margin-top: 0.5rem; padding: 0.55rem 1.5rem; background: var(--ac, #3d5a80); color: #fff; border: none; border-radius: 4px; font-size: 0.9rem; font-weight: 600; cursor: pointer; font-family: system-ui, sans-serif; } .calc-btn:hover { opacity: 0.9; } .calc-result { margin-top: 1.25rem; padding: 1rem 1.25rem; background: #f0f6fc; border-left: 3px solid var(--ac, #3d5a80); border-radius: 0 6px 6px 0; display: none; } .calc-result.visible { display: block; } .calc-result-label { font-size: 0.78rem; text-transform: uppercase; letter-spacing: 0.06em; color: #666; margin-bottom: 0.25rem; } .calc-result-value { font-size: 1.6rem; font-weight: 700; color: var(--ac, #3d5a80); } .calc-result-detail { font-size: 0.85rem; color: #555; margin-top: 0.5rem; line-height: 1.5; } .calc-note { margin-top: 1rem; font-size: 0.8rem; color: #888; font-style: italic; } .calc-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 0.75rem; margin-top: 0.75rem; } .calc-grid-item { padding: 0.6rem 0.8rem; background: #f8f9fa; border-radius: 4px; border: 1px solid #eee; } .calc-grid-item .label { font-size: 0.75rem; color: #888; text-transform: uppercase; letter-spacing: 0.04em; } .calc-grid-item .value { font-size: 1.1rem; font-weight: 600; color: #1a1a1a; } @media (max-width: 720px) { .calc-row { flex-direction: column; align-items: flex-start; gap: 0.3rem; } .calc-row label { min-width: auto; } .calc-row input[type="number"], .calc-row select { max-width: 100%; width: 100%; } .calc-grid { grid-template-columns: 1fr; } } .calc-chart { margin: 1rem 0; text-align: center; } .calc-chart svg { max-width: 100%; height: auto; } .calc-chart-legend { display: flex; flex-wrap: wrap; justify-content: center; gap: 0.6rem 1.2rem; margin-top: 0.6rem; font-size: 0.8rem; color: #555; } .calc-chart-legend span { display: inline-flex; align-items: center; gap: 0.3rem; } .calc-chart-legend i { display: inline-block; width: 10px; height: 10px; border-radius: 2px; font-style: normal; } .calc-related { max-width: 640px; margin: 2rem 0 1rem; padding: 1.25rem 1.5rem; background: #f8f9fa; border: 1px solid #e8e8e8; border-radius: 8px; } .calc-related h3 { font-family: Georgia, serif; font-size: 1rem; color: #1a1a1a; margin: 0 0 0.75rem; padding-bottom: 0.4rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-related-list { list-style: none; padding: 0; margin: 0 0 0.75rem; display: grid; grid-template-columns: 1fr 1fr; gap: 0.4rem 1.5rem; } .calc-related-list li a { font-size: 0.88rem; color: var(--ac, #3d5a80); text-decoration: none; } .calc-related-list li a:hover { text-decoration: underline; } .calc-browse-all { margin: 0.5rem 0 0; font-size: 0.9rem; font-weight: 600; } .calc-browse-all a { color: var(--ac, #3d5a80); text-decoration: none; } .calc-browse-all a:hover { text-decoration: underline; } @media (max-width: 720px) { .calc-related-list { grid-template-columns: 1fr; } }
Performance Space Aspect Ratio Calculator
Calculate the aspect ratio of a performance space and evaluate its suitability for theatre, cinema, concerts, and other events.
Stage / Room Width (meters)
Stage / Room Depth (meters)
Ceiling / Fly Tower Height (meters)
Primary Performance Type
Proscenium Theatre Cinema / Screening Room Concert Hall Dance Studio / Black Box Multipurpose Venue
Calculate
function perCalc() { const width = parseFloat(document.getElementById('per-width').value); const depth = parseFloat(document.getElementById('per-depth').value); const height = parseFloat(document.getElementById('per-height').value); const type = document.getElementById('per-type').value; const out = document.getElementById('per-result');
// --- Validation --- if (isNaN(width) || width ⚠ Please enter a valid Width greater than 0.'; return; } if (isNaN(depth) || depth ⚠ Please enter a valid Depth greater than 0.'; return; } if (isNaN(height) || height ⚠ Please enter a valid Height greater than 0.'; return; } if (width > 500 || depth > 500 || height > 200) { out.innerHTML = '⚠ Dimensions seem unrealistically large. Please check your inputs.'; return; }
// --- Core Ratios --- // Width-to-Depth Aspect Ratio (horizontal plan ratio) const wdRatio = width / depth;
// Width-to-Height Ratio (vertical section ratio) const whRatio = width / height;
// Depth-to-Height Ratio const dhRatio = depth / height;
// Floor Area const area = width * depth;
// Volume const volume = width * depth * height;
// Simplified RT60 estimate (Sabine approximation placeholder) // RT60 ≈ 0.161 * V / A_total — using a typical absorption coefficient α ≈ 0.15 const alpha = 0.15; const surfaceArea = 2 * (width * depth + width * height + depth * height); const totalAbsorption = alpha * surfaceArea; const rt60 = (0.161 * volume) / totalAbsorption;
// --- Ideal Ranges per Performance Type --- const ideals = { theatre: { wdMin: 1.2, wdMax: 2.0, whMin: 1.5, whMax: 3.0, rt60Min: 0.7, rt60Max: 1.2, label: 'Proscenium Theatre' }, cinema: { wdMin: 1.5, wdMax: 2.4, whMin: 2.0, whMax: 3.5, rt60Min: 0.3, rt60Max: 0.6, label: 'Cinema / Screening Room' }, concert: { wdMin: 1.0, wdMax: 1.8, whMin: 1.0, whMax: 2.0, rt60Min: 1.5, rt60Max: 2.2, label: 'Concert Hall' }, dance: { wdMin: 0.8, wdMax: 1.5, whMin: 1.0, whMax: 2.5, rt60Min: 0.6, rt60Max: 1.0, label: 'Dance Studio / Black Box' }, multipurpose: { wdMin: 1.0, wdMax: 2.0, whMin: 1.2, whMax: 3.0, rt60Min: 0.8, rt60Max: 1.4, label: 'Multipurpose Venue' }, };
const ideal = ideals[type];
function ratingBadge(value, min, max, label) { let color, status; if (value >= min && value max * 1.25) { color = '#c0392b'; status = '✘ Poor'; } else { color = '#e67e22'; status = '⚠ Acceptable'; } return '' + status + ' (Ideal: ' + min + '–' + max + ' ' + label + ')'; }
const wdBadge = ratingBadge(wdRatio, ideal.wdMin, ideal.wdMax, 'W:D'); const whBadge = ratingBadge(whRatio, ideal.whMin, ideal.whMax, 'W:H'); const rt60Badge = ratingBadge(rt60, ideal.rt60Min, ideal.rt60Max, 's');
// Overall score (simple average of 3 checks) function inRange(v, mn, mx) { return v >= mn && v mx*1.25 ? 0 : 1); } const score = inRange(wdRatio, ideal.wdMin, ideal.wdMax) + inRange(whRatio, ideal.whMin, ideal.whMax) + inRange(rt60, ideal.rt60Min, ideal.rt60Max); const overallColor = score === 6 ? '#27ae60' : score >= 3 ? '#e67e22' : '#c0392b'; const overallLabel = score === 6 ? 'Excellent fit' : score >= 3 ? 'Acceptable fit' : 'Poor fit';
out.innerHTML = '### Results for ' + ideal.label + ' ' + '' + 'Metric' + 'Value' + 'Rating' + 'Width-to-Depth Ratio (W:D)' + '' + wdRatio.toFixed(2) + ':1' + '' + wdBadge + '' + 'Width-to-Height Ratio (W:H)' + '' + whRatio.toFixed(2) + ':1' + '' + whBadge + '' + 'Est. Reverberation Time RT60' + '' + rt60.toFixed(2) + ' s' + '' + rt60Badge + '' + 'Floor Area' + '' + area.toFixed(1) + ' m²' + '—' + 'Room Volume' + '' + volume.toFixed(1) + ' m³' + '—' + '' + 'Overall suitability: ' + '' + overallLabel + '' + '
'; }
#### Formulas Used
Width-to-Depth Ratio: W:D = Width ÷ Depth
Width-to-Height Ratio: W:H = Width ÷ Height
Floor Area: A = Width × Depth
Room Volume: V = Width × Depth × Height
Estimated RT60 (Sabine): RT60 = 0.161 × V / (α × Stotal)
where Stotal = 2(WD + WH + DH) is total surface area and α = 0.15 is an assumed average absorption coefficient.
#### Assumptions & References
- Ideal W:D ratios are based on industry guidelines from the Architectural Acoustics Illustrated (Ermann, 2015) and ANSI/ASA S12.60.
- RT60 is estimated using the Sabine equation (W. C. Sabine, 1900) with a uniform absorption coefficient α = 0.15, representing a moderately furnished space. Actual RT60 depends on materials and furnishings.
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