@beguilingeyes I haven't seen anyone respond to this so I will try to explain time signatures.
When music is written down it is divided into a number of shorter sections known as bars.
For the most simple time signatures the top number in the time signature refers to the number of beats that are in each bar. When you hear a piece of music you can often hear an obvious rhythm. For example, a march sounds like ONE two, ONE two, ONE two, ONE two. The top number in the time signature will be a 2. A waltz sounds like ONE two three, ONE two three, ONE two three. In that case the number at the top of the time signature will be a 3.
For the most simple time signatures, the bottom number refers to the type of beats in each bar. Basically the lower the number the longer the type of note that forms the beat. A bottom number of 2 means that the beats are minim beats. A bottom number of 4 means that the beats are crotchet beats. So you might write a quick march in 2/2 but a slower march in 2/2.
So far, so logical. You are probably more confused by the 6/8 or 9/8 type time signatures. These are known as "compound" time signatures, to differentiate them from the "simple" time signatures described above.
In compound time signatures, the bottom number still gives you a clue about the type of note that the bar is divided into. The most common is 8, which means that the bar is divided into quavers. And as before, the top number tells you how many there are of them in each bar. The important difference is that these notes do not form the beat.
As an example, in 6/8 there are six quavers in each bar. However, these are grouped together into two beats of three. The rhythm sounds like ONE two three FOUR five six, ONE two three FOUR five six. There are actually two beats in the bar but they are dotted crotchet beats (each dotted crotchet is worth three quavers).
For 9/8 there are 9 quavers in each bar, grouped together as 3 dotted crotchet beats. In 12/8 there are 12 quavers in each bar grouped together as 4 dotted crotchet beats. And in 3/8 there are 3 quavers grouped together into one beat.
Just to add to the confusion, you might sometimes see a time signature with a 4 at the bottom but where the number at the top is a 6, 9 or 12.
The top numbers are a clue that you are looking at a compound time signature. In 6/4 there will be 6 crotchets in a bar but they are grouped into 2 dotted minim beats. It will have the same rhythm as the 6/8 bar. In 9/4 there will be 9 crotchets grouped together in 3 dotted minim beats.
Hope that helps!