[sdiy] MIDI volume to volts formula

[Adam Inglis]

My original DX7 has the Robin Whittle ROM retrofitted, which gives it full velocity output values to 127, so it is possible.

> On 8 Jun 2018, at 1:02 PM, MTG <grant at musictechnologiesgroup.com> wrote:
> 
> If you are lucky. The DX7, for instance, divided the incoming velocity by 4 and only dealt with 32 values each way (over MIDI). Spread over the whole range obviously. I'm sure some more modern synths have the complete range, at least this original "low resolution" version. We await your histograms Brian.
> 
> On 6/7/2018 7:28 PM, rsdio at audiobanshee.com wrote:
> 
>> On a related note, when mapping an input range of 128 values to an output range of 128 values, the only function that actually produces 128 unique values is the linear 1:1 mapping. This assumes we’re not using real, floating point numbers because MIDI is discrete integer values. Every other map or curve will not actually produce 127 different velocity values on output.
>> Perhaps Yamaha decided to use a curve that would have only produced 100 distinct outputs anyway.
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