# TuningFrequency¶

standard mode | Tonal category

## Inputs¶

`frequencies`

(vector_real) - the frequencies of the spectral peaks [Hz]

`magnitudes`

(vector_real) - the magnitudes of the spectral peaks

## Outputs¶

`tuningFrequency`

(real) - the tuning frequency [Hz]

`tuningCents`

(real) - the deviation from 440 Hz (between -35 to 65 cents)

## Parameters¶

`resolution`

(real ∈ (0, ∞), default = 1) :resolution in cents (logarithmic scale, 100 cents = 1 semitone) for tuning frequency determination

## Description¶

This algorithm estimates the tuning frequency give a sequence/set of spectral peaks. The result is the tuning frequency in Hz, and its distance from 440Hz in cents. This version is slightly adapted from the original algorithm [1], but gives the same results.

Input vectors should have the same size, otherwise an exception is thrown. This algorithm should be given the outputs of the spectral peaks algorithm.

Application: Western vs non-western music classification, key estimation, HPCP computation, tonal similarity.

- References:
[1] E. Gómez, “Key estimation from polyphonic audio,” in Music Information Retrieval Evaluation Exchange (MIREX’05), 2005.

## Source code¶

## See also¶

HPCP (standard) HPCP (streaming) Key (standard) Key (streaming) TuningFrequency (streaming)