I just noticed that I sent the following test results on March 1st in
response to a private message when I thought I was publishing them. The
input values labeled "Nominal" were given to me in that private message.
-----
LilyPond 2.25 accepts exact rational tempo values.
\score {
\fixed c' {
\tempo 4 = #70000000/1000000
c8
\tempo 4 = #71190000/1000000
c8
\tempo 4 = #72400230/1000000
c8
\tempo 4 = #72523300/1000000
c8
}
\midi {}
}
These are the MIDI tempo values in microseconds per quarter note (µs/q)
that LilyPond emits for the above input, according to the lilymidi tool.
I computed and rounded the quarter-per-minute (qpm) values.
Nominal MIDI µs/q Approx qpm
-------- --------- ----------
70 857142 70.000070
71.19 842815 71.190000
72.40023 828726 72.400287
72.5233 827320 72.523328
This seems as precise as it could be.
It also seems as accurate as it could be, aside from truncating the
final division rather than rounding it. Truncation should please those
who deem ending the presentation late a greater sin than ending early.
--
Dan
