MTC Hurst Sine Wave — Idealized Cycle Visualization for TakeProfit
This indicator plots idealized sine waves for three configurable cycle degrees, phase-aligned to the last confirmed cycle trough. It shows where each cycle theoretically should be in its rhythm — approaching a peak, crossing zero, or falling toward a trough. A white composite wave reveals cycle confluence zones.
Part of the MTC Hurst Cycle Analysis Suite.
━━━ HOW IT WORKS ━━━
Each sine wave is calculated with the formula:
Sine = -cos(2π × bars_since_last_trough / cycle_length)
This produces a wave that:
- Starts at -1 at the confirmed trough (cycle low)
- Rises to +1 at the half-cycle point (expected peak)
- Returns to -1 at the full cycle point (next expected trough)
The phase is automatically locked to the last detected swing low for each cycle degree, ensuring the wave stays aligned with actual market structure.
━━━ READING THE INDICATOR ━━━
The indicator is displayed in a separate pane below the chart with three reference levels:
- •+1 (Peak line): When a sine wave reaches +1, the cycle is at its theoretical peak. Expect the cycle to start turning down.
- 0 (Zero line): Mid-cycle crossing. The cycle is transitioning between rising and falling phases.
- -1 (Trough line): When a sine wave reaches -1, the cycle is at its theoretical trough. Expect a reversal to the upside.
Three colored sine waves represent the three cycle degrees:
- Cyan — Cycle 1 (default: 20 bars, fastest)
- Yellow — Cycle 2 (default: 40 bars, medium)
- Orange — Cycle 3 (default: 80 bars, slowest)
━━━ THE COMPOSITE WAVE ━━━
The white composite line is the average of all active sine waves. This is the key signal:
When the composite approaches -1, it means multiple cycles are troughing simultaneously — this is Hurst's Principle of Synchronicity in action. These confluence zones mark the highest-probability reversal points, where combined cycle energy drives price sharply upward from a significant low.
When the composite approaches +1, multiple cycles are peaking together — expect a potential decline as combined cycle pressure turns downward.
━━━ TRADING APPLICATION ━━━
- Watch for the composite wave (white) approaching -1 — this forecasts a major cycle low
- Confirm with MTC Hurst Diamond (diamond confluence) and MTC Hurst VTL (trough break signals)
- Time your entry using MTC Hurst FLD (A-category cross = cycle trough confirmed)
- Set targets using MTC Hurst FLD Targets (automatic price projection)
The sine wave works as a forward-looking timing tool — it tells you WHEN to expect the next turn, while the other MTC Hurst indicators confirm that the turn has actually occurred.
━━━ SETTINGS ━━━
- Cycle 1/2/3 Length: Configure the three cycle degrees (default: 20/40/80)
- Show Cycle 1/2/3: Toggle individual sine waves
- Show Composite: Toggle the white composite wave
- Show Info Panel: Display current wave values and reference guide
━━━ TIPS ━━━
- The sine wave is idealized — real markets deviate from perfect cycles
- Use the sine wave as a timing guide, not a trade signal on its own
- When the sine wave says "trough expected" but the diamond and VTL disagree, trust the confirmation tools
- Right translation (peak shifted right) indicates an uptrend underneath
- Left translation (peak shifted left) indicates a downtrend underneath
- If a cycle consistently runs longer than the nominal length, adjust the cycle parameter
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