3 ms·
Per-chord is what I meant, not per-key. 3:2 means you can't have a coherent set for all tones in a key, full stop. But you could slightly shift the frequencie
by shemol 12y ago
Per-chord is what I meant, not per-key. 3:2 means you can't have a coherent set for all tones in a key, full stop.
But you could slightly shift the frequencies of the notes in a given chord to make that chord perfectly tempered.
There'd be a million details; making sure the melodic voice, bass, or both avoided wolf intervals; figuring out what to when some voices are moving over a sustained chord in others; keeping the main anchor frequency from drifting "too far" from the original (and probably determining "too far" in the first place); figuring out whether the resulting sound was going to be anywhere near distinguishable enough to be worth all the effort of hacking through all this rigamarole.
- baddox 12y agoYeah, it sounds complicated. I wonder what a cappella groups like barbershop quartets do, or if they even think about it.
- shemol 12y agoComplicated, no doubt, but agree it's probably not far from how any non-tempered instrument player harmonizes already, with little or no thought. Thanks for the link to Gary's blog. Good read.
- baddox 12y agoIt looks like there's no problem with just swapping frequencies as you change chords. This youtube video is great, as is the guy's blog: http://youtu.be/jA1C9VFqJKo http://youtu.be/jA1C9VFqJKo