interesting that the GND SN octave is found by incrementing 16 steps ...
q: what do 16 and 12 have in common?
both are divisible by 4.
so, divide a "usual" octave (12 semitones) division by 4, the result is 3 (semitones);
divide the Elektron Machinedrum octave division of 16 by 4, = 4 (increments).
in theory, this would mean that every 4 increments of the PTCH parameter will increase by a minor 3rd = 3 semitones.
the theory seems to work:
"true" notes are also found every four steps:
PTCH parameter of 8 = B
PTCH parameter of 12 = D
PTCH parameter of 16 = F
PTCH parameter of 20 = Ab
and then the octave at PTCH 24 (8 + 16) = B
to continue:
PTCH 28 = D
PTCH 32 = F
PTCH 36 = Ab
PTCH 40 (octave; 24 + 16 = 40) = B
just to mention: PTCH 36 (Ab) and PTCH 40 ( B ) are sounding a few cents lower than the actual "true" pitch. these could be candidates for the "static LFO" trick to raise them slightly.
something else interesting to mention about notes higher in the octave - the ear's natural perception of higher octave notes is to perceive them (very slightly) higher than their true pitch.
So... the notes of B, D, F, and Ab are immediately available.
if they were notes of a B scale:
B (tonic). b3, b5, 6th
or notes of a D scale: 6th, D (tonic), b3, b5
essentially the same degrees found on different notes, like a four-note diminished scale.