What is the difference between TEMA, 3×EMA smoothing, and TRIX?

[DaveSkender]

I'm using this API for [quote] data (https://docs.coinapi.io/#historical-data) but I can't understand why what I get from these functions (TEMA) from Skender.Stock.Indicators are so different from what I see in the Binance.

[DaveSkender]

I cannot independently confirm whether Binance or CoinApi is producing good history or indicator data. All I can say is that the TEMA calculation is often misunderstood and may be implemented differently in some cases.

The Stock.Indicators library uses the standard weighted definition:
https://en.wikipedia.org/wiki/Triple_exponential_moving_average

Which is often confused with TRIX or the simpler raw unweighted 3×EMA value.
https://en.wikipedia.org/wiki/Trix_(technical_analysis)

As of version 0.11.5, both the TRIX oscillator and the standard TEMA are included in the library. The TRIX oscillator also includes the raw 3×EMA variant in the output (Ema3). Use whichever is your preference.

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