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### 8.16 T3 Moving Average

The T3 moving average by Tim Tillson is a triple smoothed combination of the DEMA (see Double and Triple Exponential Moving Average) and a plain EMA (see Exponential Moving Average).

A given “volume factor” V (default 0.7) controls how much of the DEMA is used. The factor ranges from 0 which gives a plain EMA, up to 1 which gives a full DEMA. Values in between are a combination. The formula for this “generalized DEMA” is

```GD(N,v) = (1-v)*EMA[N] + v*DEMA[N]
```

or equivalently as follows, emphasising how a portion of the momentum term present in the DEMA is used,

```GD(N,v) = EMA[N] + v * (EMA[N] - EMAofEMA[N])
```

T3 applies this three times,

```T3(N,v) = GD(N,v) of GD(N,v) of GD(N,v)
```

The following graph shows the weightings that result from N=10 and v=0.7.

At the lower v=0 extreme T3 is simply a tripled EMA (see EMA of EMA of EMA). At the upper v=1 extreme T3 is a DEMA of DEMA of DEMA, and the following is the weights for that (again N=10),

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