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	SysEx Encoding & Decoding
There are various ways of encoding & decoding arbitrary 8-bit wide data into SysEx, which is 7-bit wide.
The official documentation for FileDump data exchanges states the following:
The 8-bit file data needs to be converted to 7-bit form, with the result that every 7 bytes of file data translates to 8 bytes in the MIDI stream.
For each group of 7 bytes (of file data) the top bit from each is used to construct an eigth byte, which is sent first. So:
AAAAaaaa BBBBbbbb CCCCcccc DDDDdddd EEEEeeee FFFFffff GGGGggggbecomes:
0ABCDEFG 0AAAaaaa 0BBBbbbb 0CCCcccc 0DDDdddd 0EEEeeee 0FFFffff 0GGGggggThe final group may have less than 7 bytes, and is coded as follows (e.g. with 3 bytes in the final group):
0ABC0000 0AAAaaaa 0BBBbbbb 0CCCcccc
SysEx encoding / decoding functions
The MIDI library supplies two functions to do this, encodeSysEx and decodeSysEx.
Example usage:
#include <MIDI.h>
static const byte myData[12] = {
    // Hex dump: CAFEBABE BAADF00D FACADE42
    0xca, 0xfe, 0xba, 0xbe, 0xba, 0xad, 0xf0, 0x0d,
    0xfa, 0xca, 0xde, 0x42
};
byte encoded[16];
const unsigned encodedSize = midi::encodeSysEx(myData, encoded, 12);
// Encoded hex dump: 07 4a 7e 3a 3e 3a 2d 70 07 0d 7a 4a 5e 42
byte decoded[12];
const unsigned decoded = midi::decodeSysEx(encoded, decoded, encodedSize);
Special case for Korg devices
Korg apparently uses another convention for their SysEx encoding / decoding, where:
AAAAaaaa BBBBbbbb CCCCcccc DDDDdddd EEEEeeee FFFFffff GGGGgggg
becomes:
0GFEDCBA 0AAAaaaa 0BBBbbbb 0CCCcccc 0DDDdddd 0EEEeeee 0FFFffff 0GGGgggg
The order of the bits in the "header" byte is reversed. To follow this beheaviour, set the inFlipHeaderBits argument to true.
Example:
void handleSysEx(byte* inData, unsigned inSize)
{
    // SysEx body data starts at 3rd byte: F0 42 aa bb cc dd F7
    // 42 being the hex value of the Korg SysEx ID.
    const unsigned dataStartOffset   = 2;
    const unsigned encodedDataLength = inSize - 3; // Remove F0 42 & F7
    // Create a large enough buffer where to decode the message
    byte decodedData[64];
    const unsigned decodedSize = decodeSysEx(inData + dataStartOffset,
                                             decodedData,
                                             encodedDataLength,
                                             true); // flip header bits
    // Do stuff with your message
}
See original discussion in issue #92.