# HarmonicBpm¶

standard mode | Rhythm category

## Inputs¶

`bpms`

(vector_real) - list of bpm candidates

## Outputs¶

`harmonicBpms`

(vector_real) - a list of bpms which are harmonically related to the bpm parameter

## Parameters¶

`bpm`

(real ∈ [1, ∞), default = 60) :the bpm used to find its harmonics

`threshold`

(real ∈ [1, ∞), default = 20) :bpm threshold below which greatest common divisors are discarded

`tolerance`

(real ∈ [0, ∞), default = 5) :percentage tolerance to consider two bpms are equal or equal to a harmonic

## Description¶

This algorithm extracts bpms that are harmonically related to the tempo given by the ‘bpm’ parameter. The algorithm assumes a certain bpm is harmonically related to parameter bpm, when the greatest common divisor between both bpms is greater than threshold. The ‘tolerance’ parameter is needed in order to consider if two bpms are related. For instance, 120, 122 and 236 may be related or not depending on how much tolerance is given

- References:
[1] Greatest common divisor - Wikipedia, the free encyclopedia, http://en.wikipedia.org/wiki/Greatest_common_divisor

## Source code¶

## See also¶

HarmonicBpm (streaming)