Jack Campin writes:
| >> Something I've also implemented is the conventional |:: ... ::|
| >> notation that says "three times through".
...
| In music I've seen that uses this construct, it's represented by
| printing "(3x)" above the staff.  A staff-notation generator could
| do whatever it liked with "|:: ... ::|", but I suspect that most
| non-Scandiwegian users would be happier with some such explicit
| representation using honest-to-god numerals.

Yeah; I've seen that, too. OTOH, I've seen the |::: ... :::| notation
used  a fair amount in music from Eastern Europe and the Balkans, and
even musicians who claim not to have seen the notation before  always
seem  to  know what it means without explanation.  I don't thing I've
ever seen it used for more than 3 repeats (four times  through).   It
would get difficult to count.

One problem with using "(3x)" is that this looks a lot like a strange
chord symbol to software.  Maybe it should be "^(3x)".

| Does any system of notation have a sign for "repeat this bit as often
| as you feel like"?  The definitive use of that is in Terry Riley's
| "In C", but it occurs implicitly in quite a few genres.

In fact, this happens in Scandinavian and German  folk  dance.   It's
usually  tied in with a dance that has two different steps that match
the music (e.g., zwiefacher).  There are some tunes  that  are  often
played with irregular repeats, to see if the dancers can handle it. A
slightly simpler version, for non-expert dancers, would do  something
like an arithmetic progression, playing the phrase N times in the Nth
time through the dance, or something like that.

All the notation I've seen for this has been idiosyncratic. And often
in German or Swedish or Finnish.

Some years back, Scientific American published the "Telnet Song" that
had  nested  for-loops  as the repeat indicators.  It was a cute song
that described the escape sequences required to back  out  gracefully
from  a  chain  of  telnet  connections  without leaving any dangling
connections alive on any of the machines.

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