VPOC Harmonics - Liquidity-Weighted Price / Time Ratios

VPOC Harmonics - Liquidity-Weighted Price / Time Ratios

Summary

This indicator transforms a swing’s price range, duration, and liquidity profile into a structured set of price-per-bar ratios. By anchoring two points and manually entering the swing’s VPOC (highest-volume price), it generates candidate compression values that unify price, time, and liquidity structure. These values can be applied to chart scaling, harmonic testing, and liquidity-aware market geometry.
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Overview

Most swing analysis tools only consider price (ΔP) and time (N bars). This script goes further by incorporating the VPOC (Point of Control) — the price with the highest traded volume — directly into swing geometry.
• Anchors define the swing’s Low (L), High (H), and bar count (N).
• The user manually enters the VPOC (highest-volume price).
• The indicator then computes a suite of ratios that integrate range, duration, and liquidity placement.

The output is a table of liquidity-weighted price-per-bar candidates, designed for compression testing and harmonic analysis across swings and instruments.
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How to Use
1. Select a Swing
- Place Anchor A and Anchor B to define the swing’s Low, High, and bar count.
2. Find the VPOC
- Apply TradingView’s Fixed Range Volume Profile tool over the same swing.
- Identify the Point of Control (POC) — the price level with the highest traded volume.
3. Enter the VPOC
- Manually input the POC into the indicator settings.
4. Review Outputs
- The table will display candidate ratios expressed mainly as price-per-bar values.
5. Apply in Practice
- Use the ratios as chart compression inputs or as benchmarks for testing harmonic alignments across swings.
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Outputs

Swing & Inputs
• Bars (N): total bar count of the swing.
• Low (L): swing low price.
• High (H): swing high price.
• ΔP = H − L: price range.
• Mid = (L + H) ÷ 2: midpoint price.
• VPOC (V): user-entered highest-volume price.
• Base slope s0 = ΔP ÷ N: average change per bar.
• π-adjusted slope sπ = (π × ΔP) ÷ (2 × N): slope adjusted for half-cycle arc geometry.
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VPOC Harmony Ratios (L, H, V, N)

• λ = (V − L) ÷ ΔP: normalized VPOC position within the range.
• R = (V − L) ÷ (H − V): symmetry ratio comparing lower vs. upper segment.
• s1 = (V − L) ÷ N: slope from Low → VPOC.
• s2 = (H − V) ÷ N: slope from VPOC → High.
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Blended Means (s1, s2)

These combine the two segment slopes in different ways:
• HM(s1,s2) = 2 ÷ (1/s1 + 1/s2): Harmonic mean, emphasizes the smaller slope.
• GM(s1,s2) = sqrt(s1 × s2): Geometric mean, balances both slopes proportionally.
• RMS(s1,s2) = sqrt((s1² + s2²) ÷ 2): Root-mean-square, emphasizes the larger slope.
• L2 = sqrt(s1² + s2²): Euclidean norm, the vector length of both slopes combined.
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Slope Blends

• Quadratic weighting: s_quad = s0 × ((V−L)² + (H−V)²) ÷ (ΔP²)
• Tilted slope: s_tilt = s0 × (0.5 + λ)
• Entropy-scaled slope: s_ent = s0 × H2(λ), with H2(λ) = −[λ × log2(λ) + (1−λ) × log2(1−λ)]
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Curvature & Liquidity Extensions

• π-arc × λ: s_arc = sπ × λ
• Liquidity-π: s_piV = sπ × (V ÷ Mid)
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Scale-Normalized Families

With k = sqrt(H ÷ L):
• k (scale factor) = sqrt(H ÷ L)
• s_comp = s0 ÷ k: compressed slope candidate
• s_exp = s0 × k: expanded slope candidate
• Exponentiated blends:
- s_kλ = s0 × k^(2λ−1)
- s_φλ = s0 × φ^(2λ−1), with φ = golden ratio ≈ 1.618
- s_√2λ = s0 × (√2)^(2λ−1)
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Practical Application

All formulas generate liquidity-weighted price-per-bar ratios that integrate range, time, and VPOC placement.

These values are designed for:
• Chart compression settings
• Testing harmonic alignments across swings
• Liquidity-aware scaling experiments
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