Hi folks, I’ve a complicated question about the dB scale. I’m not good at mathematics so I need some help! I’ve been searching the net for an answer to this for ages and I can’t find any reliable info. So here goes:
I’m interested to know what the precise value of half and double from 0dB. Many moons ago Renoise had a lot more of its faders in percent. This meant that if you set a fader at 50% it would be precisely half of the relative 0dB point, which also meant that the bit depth resolution was effectively and neatly halved (instead of truncated to some other weirder decimal). Through this I found that 50% of 0dB is in fact -6.021dB, and NOT -6dB like a lot webpages tell you it is.
Since that time my ears have become more sensitive to mixing dynamics, and although it may be me convincing myself, -6.021dB does sound better than -6dB with the dynamics. It just feels more true and honest compared to the original signal. Call me mad, but in mastering applications this fraction of a feel is very important. Anyway,
You can prove this to yourself by opening up the Hydra device, which does its modulation parameter by percent. Tell one Output to map the TrackVolPan Volume control and set the Max value to 0dB. Slide the Hydra’s Input to 50% and you can see the pre-fader has now gone to -6.021dB.
Now, how to find double 0dB? Well, I tried this: On the same channel open up a Gainer. Tell Out2 to map to the Gainer’s Gain parameter, and set the maximum to -6.021dB. Now slide the Hydra Input to 75% and the result is +3.522dB. Is this anywhere remotely correct? Most explanations of the dB scale on the web tell me that +3dB is double of 0dB, but now I don’t know what to believe.
The reason why I ask all this is that I’ve become interested in Pan Law and I’m thinking of a way to make up for the fact that Renoise hasn’t yet got a Pan Law option. I need to know what the precise value of double 0dB is, so that my Pan Law boost will be bit-harmonic, rather than being at some odd truncated value. Some software has a Pan Law option of +3dB, but like I’ve said I’m wondering how precise that is. If I can get the correct value, I can boost the side data of any channel to correct for loss of power in panning, especially in moving pan sounds.
Thanks for any help!