Slashers!

It seems both David Keenan and Graham Breed are "slashers..!"

72-EDO Sims\Monzo notation seems so easy to learn and so "intuitive"
that I await convincing arguments for all this
notational "slashing..."

I'm not getting the "mathematical philosophy" behind this proposal...

///// \\\\\ ?????
_________ _____ ____
Joseph Pehrson

Joseph wrote:
> It seems both David Keenan and Graham Breed are "slashers..!"
> 72-EDO Sims\Monzo notation seems so easy to learn and so "intuitive"
> that I await convincing arguments for all this
> notational "slashing..."
> I'm not getting the "mathematical philosophy" behind this proposal...

The / and \ symbols are commonly used to denote raising and lowering
by a syntonic comma. And since well over a century now. Perhaps von
Oettingen
was the first with his Reinschrift around 1866? Later Bosanquet and others
used it too.

In 72-tET, the syntonic comma is one step, so it is the obvious choice
to use these slant lines for the notation of one step.
The spelling of the just major triad is C E\ G then, which it will always
be if \ is consistently used for the number of steps approximating the
syntonic comma. So the list becomes
C C/ C// C///
If three consecutive symbols is too much for someone, then the diesis
comes to rescue, because in 72-tET it is three steps. The ) and ( symbols
raise and lower by a diesis. Continuing
C) C#\\ C#\ C# C#/ C#//
C)/ Db\ Db Db/ Db// D( D\\ D\ D ..etc.
If one doesn't make use of the syntonic comma, (or diesis, or diaschisma)
in one's compositions then a Richter-Herf or Sims notation can be used
just fine but they may obscure the enharmonic relationships.

By the way Joe M., I have implemented the E144 and R144 systems. I chose
> and < for the 144-tET one step. Because the symbols for a fraction of
the syntonic comma are a black right- and leftpointing triangle. For the
rest they are the same as E72 and R72.
See also XH16, pp. 82-83.

Manuel

--- In tuning@y..., <manuel.op.de.coul@e...> wrote:

/tuning/topicId_23549.html#23774

>
> The / and \ symbols are commonly used to denote raising and lowering
> by a syntonic comma. And since well over a century now. Perhaps von
> Oettingen
> was the first with his Reinschrift around 1866? Later Bosanquet and
others
> used it too.

Thanks, so much, Manuel, for this historical background in your post,
which helps me understand "slashing" practices...

_______ _______ ____
Joseph Pehrson