# International Audio Laboratories Erlangen

## Two Selected Examples

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### Retrieval Results

ComposerID WorkID PerformanceID BM_ThemeID $$\mathcal{C}_{\mathrm{IIR}}^{}$$ $$\mathcal{C}_{\mathrm{MEL}}^{}$$ $$\mathcal{C}_{\mathrm{SFM}}^{}$$ $$\mathcal{C}_{\mathrm{BG1}}^{}$$ $$\mathcal{C}_{\mathrm{DNN1}}^{}$$ $$\mathcal{C}_{\mathrm{DNN2}}^{}$$ $$\mathcal{C}_{\mathrm{CNN}}^{}$$ $$\mathcal{C}_{\mathrm{MEL}}^{\mathrm{\ast}}$$ $$\mathcal{C}_{\mathrm{BG1}}^{\mathrm{\ast}}$$ $$\mathcal{C}_{\mathrm{CNN}}^{\mathrm{\ast}}$$ QueryDurationBin DocDurationBin
Bach BWV0848-02 Belder B306 1 2 1 1 1 1 1 30 1 1 queryDur4 docDur2
Bach BWV0884-01 Belder B378 286 660 1 1 53 4 1 100 128 1 queryDur2 docDur3

### Explanation

The music corresponding to query B306 is monophonic and the melody extraction method $$\mathcal{C}_{\mathrm{BG1}}^{\mathrm{\ast}}$$ successfully tracks the fundamental frequency of the theme. As a result, this representation achieves a low separation indicator of $$\rho=0.195$$. Rank 1 is also achieved by omitting the melody extraction step ($$\mathcal{C}_{\mathrm{BG1}}$$), but the separation indicator is not as good ($$\rho=0.452$$).

In contrast, the music corresponding to query B378 is polyphonic and the melody extraction step fails to track the fundamental frequency of the theme. Accordingly, $$\mathcal{C}_{\mathrm{BG1}}^{\mathrm{\ast}}$$ achieves a bad rank of 128 ($$\rho=1.615$$). Omitting the melody extraction step ($$\mathcal{C}_{\mathrm{BG1}}$$) leads to rank 1 for this query ($$\rho=0.760$$).