TOP BP = BP

If we look at the appromimations to odd septimal intervals on the BP
site, we discover they are based on two commas, 245/243 and 3125/3087.
Putting them together gives a 7-limit linear temperament. Maybe "bop",
for Bohlen-Pierce? That's a little more dynamic that Number 106,
though it is nice to see that it turned up on the list. These are both
odd ratios, and so 2 will be exactly 2 in the TOP tuning for this
temperament, and as it turns out, the other generator will be
3^(1/13). So, there you have Top Bop.

Bop can be bopped in 41, 49 or 90 equal if you like, with generators
of 5/41, 6/49 or 11/90. We have DES or MOS or whatever we are calling
it this week of 9, 17 or 25 notes to the octave for any big boppers
out there.

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:

I went to bed last night thinking that the TOP bop generator can't
possibly be 3^(1/13), and it isn't. Here are some members of the bop
generation:

3^(1/13): 146.304
41-et: 146.341
TOP bop: 146.476
TOP tuned 41-et bop: 146.476
rms bop: 146.535

There's not a hell of a lot of difference between the 41-et bop and
the traditional 3^(1/13).

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> If we look at the appromimations to odd septimal intervals on the BP
> site, we discover they are based on two commas, 245/243 and
3125/3087.
> Putting them together gives a 7-limit linear temperament.
Maybe "bop",
> for Bohlen-Pierce?

Sure -- this is certainly better than "beep" for 27/25 vanishing,
since the latter isn't even how BP works. Looking at this:

/tuning-math/files/Erlich/dualxoom.gif

it might not be a terrible idea to rename "beep" to "mother", though
that's an awfully prestigious name for this undistinguished
temperament.