After the General MIDI spec. there is a section on Standard MIDI files. Page 10 of that spec. gives the format for the Time Signature meta data.
But you've probably read that already (?) and you're wondering what to put in the last two bytes.
The answer is, unless you want to specify some unusual settings for a MIDI quarter note (as given in the example above), you set the last two bytes to zero. So the 3, 3 go in bytes four and five (not 5 and 6) and bytes six and seven are zero.
FFH 58H 04H 03H 03H 00H 00H
Here it is, in Hex, embedded in a MIDI file called TimeSig.mid:
You're most welcome, so glad that at least some of it made sense.
The only thing, as you've found out by experimentation, that's essential in the meta data, is the tempo marking, and even with that the MIDI specification says if it's not present then assume 120bpm as default. Most DAWs I've worked with insert this value anyway and one has to alter it when necessary. These events are not transmitted from the player to the sound card, sound module or whatever, they're used to make sure the timing of the transmitted note ons and offs and other controllers, such as pitch bend messages, etc., occur correctly.
The other assumptions, which affect display not playback, are time and key signature. Defaults are 4/4 and C major.
A MIDI player just needs to send notes of the correct length (note on and note off) at the correct time, and as far as the MIDI player is concerned there are no sharps or flats, just note numbers.
What the other meta data, like key signature and time signature, does is to make the music look correct to the human eye when working in piano roll and/or notation view.
However, the time signature if not 4/4 (default) is important (along with the tempo) for the sequencing software as it has to calculate delta times on the fly as the notes are sequenced. Delta times For instance, Bach's opening chorus from BWV39 (Brich dem Hungrigen dein Brot) starts in 3/4, changes to 4/4 at measure 94 and then again to 3/8 at measure 106. But accelerando and ritardando will affect this.
Metronome sounds will depend upon whether the player is set up to support these and what sounds are defined for the tick and the ping.
I don't know if you've tried the free MIDI sequencer called Sekaiju?
It's currently at version 5.7. It's quite a nice little program and, when switched into List View displays a very good breakdown of the MIDI data stored, including meta events.
It comes as a zip file and is written by a Japanese programmer. The only little tweak that is required, after unzipping, is to open the file "Sekaiju.ini" in Notepad and change (or add) right at the end of the file "UserInterface=English".
As far as Sekaiju is concerned, I don't believe it changes anything Windows related, at least as far as Win7(x64) is concerned. The file can be unzipped anywhere and the program (Sekaiju.exe) can be run directly from the folder created, providing one has admin permissions. I've checked my windows registery and within \HKEY_CURRENT_USER\SOFTWARE\ there are no entries for the program at all, that I can see.
I unzip it onto a conventional HDD (E:\Downloads\) and then drag and drop the whole directory into C:\Program Files(x86)\ which is on an SSD. Then I create a shortcut.
Additionally, I've been doing a bit more research into how various programs set up time signature. It would appear that most set the last two bytes to 18H 08H, i.e. 24 clocks per quarter note and 8 32nd notes per tick, respectively. In other words a standard clock.
I suspect that setting "cc bb" either to 00H 00H or to 18H 08H results in exactly the same thing.
Here's a Sekaiju view of a file set up to display just MIDI time signatures and tempi. The ppqn is set to 480 in this file.
The first measure is set to 1/4, the second measure forward to 3/4, then 4/4, then 3/8.
It's a huge amount more detail than one gets in all the other sequencer software I've used.
Whether it meets your needs as a sequencer, of course, only you can tell.