The Mashup Song Database Spreadsheet in Java

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The Mashup Song Database Spreadsheet
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Included on the CD-ROM is a spreadsheet that you can use to store and analyze tempo and key data for your song collection. For an introduction to this spreadsheet, see 6.
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How the Spreadsheet Works
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The spreadsheet performs the following calculations for each song in your collection to arrive at a score for each song: 1. The tempo ratio is calculated, from the song s tempo and the target tempo.
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The slower tempo divided by the faster tempo. This gives you the unaltered tempo ratio.
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Appendix A What s on the CD-ROM
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The song s tempo is halved, and then again compared to the target tempo. The slower of these two tempos is divided by the faster tempo. This gives you the halftempo ratio. The song s tempo is doubled, and then again compared to the target tempo. The slower of these two tempos is divided by the faster tempo. This gives you the doubletempo ratio. The highest of these three ratios represents the closest tempo relationship, and is considered to be the tempo score, and will range from 0 to 1.
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2. The transposition amount is calculated between each song s key and the target key. This calculation represents the difference in semitones between the song s root pitch and the root pitch of the target key. The calculation is repeated for each of the following root notes of the keys related to the target key.
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The transposition amount is found between the song s key and the target key. The transposition amount is found between the song s key and the relative minor or major to the target key. The transposition amount is found between the song s key and 5th above the target key. The transposition amount is found between the song s key and 4th above the target key. The transposition amount is found between the song s key and the relative minor or major to the 5th above the target key. The transposition amount is found between the song s key and the relative minor or major to the 4th above the target key.
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3. For each of these six relationships, a key score is calculated. First, each key difference is multiplied by the pitch transposition penalty, and subtracted from 1, giving you a base key score. The default value of the pitch transposition penalty is 1/12, but can be changed to any value the user wants. At a penalty of 1/12, songs that are 6 semitones apart would receive a base key score of .5, while songs in the same key would receive a base key score of 1. These six base key scores are then adjusted as follows:
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For the relative, relative/5th, and relative/4th relationships to each song s key, the key score is penalized by an amount set by the relative key penalty. This value has a default of 5%, but can be changed to any value the user wants. For the 5th and relative/5th relationships to each song s key, the key score is penalized by an amount set by the 5th penalty. This value has a default of 10%, but again can be changed to any value the user wants.
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Appendix A What s on the CD-ROM
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For the 4th and relative/4th relationships to each song s key, the key score is penalized by an amount set by the 4th penalty. This value has a default of 10% as well. If the modes are different, (or if they are the same for the relative, relative/5th, and relative/4th relationships), the key score is given an additional parallel penalty. This value has a default of 20%.
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Note that there can be multiple penalties for each of these six key relationships. For instance, suppose the target key is C minor, and you are calculating the score for A minor. When calculating the relative/5th relationship key score, you would first calculate the key difference. In this case, the relative major to A minor is C Major, 3 semitones above A. A fifth above C Major is G Major. G is five semitones away from your target of C, so you start with a penalty of 5 * 1/12, or .4167. Subtracting this from 1 gives you a base key score of .5833. Since you are calculating a relative relationship, this score is penalized 5%, to give you a key score of .5542. Since this is a 5th relationship, the score is now penalized 10%, to give you a score of .4988. Finally, since this is supposed to be a relative relationship, but the modes are both in the same key, you penalize the score a final 20%, to arrive at the final key score of .399. This example is just the key score for the relative/5th relationship. Each song has six key scores calculated for each of the six key relationships. The highest of these six scores is considered to be that song s final key score, which balances the strength of the key relationship with the need to transpose. 4. The final key score is multiplied by the tempo score and then multiplied by 100, to give a final score for each song. The spreadsheet then sorts the songs by score, putting the highest score first, and then describes the tempo and key relationship in plain English. You may wish to adjust the penalties on this spreadsheet which are located on the penalties worksheet. If you want to highlight songs in your collection that would need less pitch shifting, raise the pitch transposition penalty. If you don t mind shifting the pitch of your songs, then you may lower the pitch transposition penalty. You may even want to adjust this each time you are matching a target song, depending on how good that song sounds pitch-shifted. If you want to allow more songs with relative minor/major relationships, then lower the relative penalty. To suppress these relationships, raise the relative penalty. For example, your target song may be in major, but the verse may be in the relative minor. In this case, the key may even be ambiguous, and so you may wish to lower the relative penalty to zero. If you want to allow more songs with 4th or 5th relationships, then lower those respective penalties, or raise the penalties to suppress these relationships. Again, if there is key ambiguity, or the key shifts into the 4th or 5th above the root for sections of the song, you may wish to lower the penalties.
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