Talk:Chords of bohpier/WikispacesArchive

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ARCHIVED WIKISPACES DISCUSSION BELOW

All discussion below is archived from the Wikispaces export in its original unaltered form.
Please do not add any new discussion to this archive page.
All new discussion should go on Talk:Chords of bohpier.


11-limit "Bohlen-Pierce"

Bohpier temperament is [< 1 0 0 0 2 |, < 0 13 19 23 12 |].

When restricted to the 3.5.7 subgroup, this becomes a rank-1 temperament, the well known "Bohlen-Pierce" 13ed3.

But this doesn't work in the 11 limit at all, because of that nasty 2 in the period mapping. You can get out of bohpier either a 3.5.7.11 temperament that is rank-2, or a rank-1 temperament on the weird subgroup 3.5.7.11/8. Since Bohlen-Pierce theory makes a big deal about using only odd numbers, working perfectly with odd-harmonic timbres, and so on, it's clearly a mistake to call this rank-1 temperament "Bohlen-Pierce".

If anyone comes to this page looking for BP chords, they'll be justifiably bewildered and confused, because most of the chords here don't correspond to anything in BP. Only the 7-prime-limit ones do.

- keenanpepper January 05, 2012, 12:54:39 PM UTC-0800


It's actually the 3.5.7.11/4 subgroup, but I take your point. I think it's bizarre BP purists would ignore a perfectly decent 11/4, but I'll take your word they do, and note it when I have the time. Or you could do it, with less of an urge to lecture about the idiocy of it all.

- genewardsmith January 05, 2012, 01:11:40 PM UTC-0800