Makes sense if you consider it a 12 tone scale, where each tone is individual with sharp and flat variants. Would make for a complicated notation system. Ordinary C#/Db would be independent tone, with sharp and flat variants C#/Db.# and C#/Db.bN_K wrote: ↑Sun Feb 21, 2021 2:38 amAs far as I understand:
Depending on which key [any] scale is started at, each of the 12 pitch classes could be considered to need non-12-TET sharps or flats.
12-TET is convenient because transposing will retain same (small) compromises in intonation. In other tuning systems, intonation may change depending on which key the piece is played from.
I'm not sure to what extent would it be possible to cover all non-12-TET tunings via adding keys/pitch classes. Perhaps 36 might be enough for most cases, perhaps more would be needed.
I find it very interesting stuff. I wonder if there is a connection to when I'm tuning my guitar on ear according to what sounds nice ... I always end up with the Lower E and upper E out of harmony/tune, and need to do it by independent tuner for things to add up. Most likely me and my ears though. Still it is weird how after that when comparing strings, I would still re-tune them when comparing the sound of the two adjacent at the same time ... feel I somehow find a sweet spot ... only things doesn't add up overall.