The rule of the down-bow
Here's a genuine rule — one with a clear reason and a little arithmetic, which should suit the way you like to learn. The strong beat wants a down-bow.
Why
A down-bow is naturally the heavier, stronger stroke: gravity and the weight of your arm both help it. An up-bow is naturally lighter. So it makes sense to line them up with the music: the first beat of the bar, and any accented note, falls on a ⊓ (down-bow); weak beats and upbeats take the V (up-bow).
French players called it "la règle du tiré" — the rule of the down-bow — and Lully's orchestra at Versailles was famous for playing every downbeat down-bow in perfect unison. Leopold Mozart put it plainly in 1756: a bar that doesn't begin with a rest should begin with a down-bow.
How to play it
Down on beat 1, up on beat 2, down on beat 3 — then the next bar starts down again (two downs in a row across the barline, with a tiny retake). Feel the downbeat land heavy every time.
The arithmetic
If you know a passage should arrive on a down-bow at the next barline, you can count backwards:
- An even number of notes before the barline → start that group down-bow (down, up, down, up … lands you on a down at the bar).
- An odd number → start up-bow (so the count still lands on a down).
When the maths doesn't work out — the phrase would put a strong beat on an up-bow — you fix it with one of the moves you already have:
- a retake (two down-bows in a row,
hooked-bowing-and-retakes), - a hooked bowing (two notes one direction),
- or choosing a slur that re-groups the notes.
How to play it
Up-bow the pickup, then down on the G downbeat. Count the notes to the next barline and check: does the strong beat land down? Here it does.
When to bend it
Modern playing breaks the rule all the time for musical reasons — a phrase might want to start soft on an up-bow, or a slur might carry the strong beat. The rule isn't a law; it's the first question you ask when you bow a passage yourself: does the strong beat land down-bow? If yes, you're probably fine. If no, you need a reason, or a fix.
Try it
Try
Take any tune you know in 3/4 or 4/4. Bow it "by the rule": every bar starts down-bow, and you alternate from there, using a retake across the barline when you end a bar on a down-bow. Feel how the downbeats come out naturally stronger. Then find a spot where the rule fights the music, and decide what you'd do about it.
The usual mistake
Following the rule so rigidly that the music suffers — forcing a delicate upbeat to be a heavy down-bow because "bar one is down". The rule serves the phrasing, not the other way round. The opposite mistake: never thinking about bow direction at all, so strong beats land on weak up-bows and the whole passage sounds limp.