---
url: /indicators/t3.md
description: >-
  Created by Tim Tillson, the T3 indicator is a smooth moving average that
  reduces both lag and overshooting.
package: FacioQuo.Stock.Indicators
docs_version: v3
canonical: https://dotnet.stockindicators.dev/indicators/t3
generated: 2026-09-30T04:41:06.055Z
commit: ae1f432eaa0b03ae9f39e032c69434b557efa4a2
---

# Tillson T3 Moving Average

Created by Tim Tillson, the [T3](https://forex-station.com/download/file.php?id=3407929) indicator is a smooth moving average that reduces both lag and overshooting.
[\[Discuss\] 💬](https://github.com/facioquo/stock-indicators-dotnet/discussions/332 "Community discussion about this indicator")

```csharp
// C# usage syntax
IReadOnlyList<T3Result> results =
  bars.ToT3(lookbackPeriods, volumeFactor);
```

## Parameters

| param | type | description |
| ----- | ---- | ----------- |
| `lookbackPeriods` | *`int`* | Number of periods (`N`) for the EMA smoothing.  Must be greater than 0 and is usually less than 63.  Default is 5. |
| `volumeFactor` | *`double`* | Size of the Volume Factor.  Must be greater than 0 and is usually less than 2.  Default is 0.7 |

### Historical price bars requirements

You must have at least `6×(N-1)+100` periods of `bars` to cover the [warmup and convergence](https://github.com/facioquo/stock-indicators-dotnet/discussions/688) periods.  Since this uses a smoothing technique, we recommend you use at least `6×(N-1)+250` data points prior to the intended usage date for better precision.

`bars` is a collection of generic `TBar` historical price bars.  It should have a consistent frequency (day, hour, minute, etc).  See [the Guide](/guide/getting-started.md#historical-bars) for more information.

## Response

```csharp
IReadOnlyList<T3Result>
```

* This method returns a time series of all available indicator values for the `bars` provided.
* It always returns the same number of elements as there are in the historical price bars.
* It does not return a single incremental indicator value.

> [!WARNING]
> **🚩 ⚞ Convergence warning**
>
> The first `6×(N-1)+250` periods will have decreasing magnitude, convergence-related precision errors that can be as high as ~5% deviation in indicator values for earlier periods.

### T3Result

| property | type | description |
| -------- | ---- | ----------- |
| `Timestamp` | *`DateTime`* | Date from evaluated `TBar` |
| `T3` | *`double`* | T3 Moving Average |

### Utilities

* [.Condense()](/utilities/results.md#condense)
* [.Find(lookupDate)](/utilities/results.md#find-by-date)
* [.RemoveWarmupPeriods(removePeriods)](/utilities/results.md#remove-warmup-periods)

See [Utilities and helpers](/utilities.md) for more information.

## Chaining

This indicator may be generated from any chain-enabled indicator or method.

```csharp
// example
var results = bars
    .Use(CandlePart.HL2)
    .ToT3(..);
```

Results can be further processed on `T3` with additional chain-enabled indicators.

```csharp
// example
var results = bars
    .ToT3(..)
    .ToRsi(..);
```

See [Chaining indicators](/guide/chaining.md) for more.

## Streaming

Use the buffer-style `List<T>` when you need incremental calculations without a hub:

```csharp
T3List t3List = new(lookbackPeriods, volumeFactor);

foreach (IBar bar in bars)  // simulating stream
{
  t3List.Add(bar);
}

// based on `ICollection<T3Result>`
IReadOnlyList<T3Result> results = t3List;
```

Subscribe to a `BarHub` for advanced streaming scenarios:

```csharp
BarHub barHub = new();
T3Hub observer = barHub.ToT3Hub(lookbackPeriods, volumeFactor);

foreach (IBar bar in bars)  // simulating stream
{
  barHub.Add(bar);
}

IReadOnlyList<T3Result> results = observer.Results;
```

See [Buffer lists](/guide/styles/buffer.md) and [Stream hubs](/guide/styles/stream.md) for full usage guides.
