--- In tuning-math@yahoogroups.com, Herman Miller <hmiller@...> wrote:
>
> Note that 50/49 and 49/48 are not included in the list
> of accidentals. Since these are so close together
> (2401/2400 apart), it would be convenient not to need
> both of them. The easiest way to do this would be to
> use a temperament that tempers out 2401/2400.
>

Or, to the contrary, we have the option to keep those accidentals. The
2401/2400 ratio is a very small interval, around 0.7212 cents, but it
can be audible. Near 440 Hz it creates a beat rate of about one every
few (five to seven?) seconds. If say we propose a 55-tone 7-limit
scale where the 2401/2400 step size occurs four times in every octave
then our tonal resources include four different near-unisons with four
different slow beat rates per octave. As programmers often say, that's
not a bug, it's a feature!