Let's say you have a song that is originally 124 BPM (beats per minute), and you drag it into Reaper, which has the default project tempo set to 120 BPM. You then change the project rate to 200 BPM. Now, the question is: What is the new tempo of the song in this new project rate?
Step 1: Calculate the percentage change between the original project tempo (120 BPM) and the new project tempo (200 BPM).
When you change the project tempo, you're effectively stretching or compressing the song to match the new tempo. To understand how much this changes the song’s tempo, you first need to find the percentage change between the project tempos.
The formula for calculating the percentage change is:
Percentage change = ((New Tempo - Original Tempo) / Original Tempo) * 100
Using the values provided:
Percentage change = ((200 - 120) / 120) * 100
= (80 / 120) * 100
= 66.67%
So, the project tempo has increased by 66.67% when the rate changes from 120 BPM to 200 BPM.
Step 2: Apply the percentage change to the original song tempo.
Now that we know the project rate increased by 66.67%, we can use this same percentage to adjust the original song tempo. The formula to apply the percentage increase to the original tempo is:
New Song Tempo = Original Song Tempo * (1 + (Percentage Change / 100))
Substituting the values:
New Song Tempo = 124 * (1 + (66.67 / 100))
= 124 * 1.6667
= 206.67 BPM
So, after adjusting the project rate to 200 BPM, the new tempo of the song is approximately 206.67 BPM.
Conclusion
By understanding how the project rate affects the tempo, you can calculate how much the song’s speed will change when you adjust the project tempo in Reaper. In this case, with a project rate change from 120 BPM to 200 BPM, the original song tempo of 124 BPM increases to approximately 206.67 BPM.
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