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Any suggestions on how to notate 16TET?

🔗Markus Miekk-oja <torpet@...>

3/10/2002 10:53:40 AM

I'm in need for a notation for 16tet, and thought this'd be the place to
ask. If somebody has devised one, I'd be happy if they'd describe it, or
give an URL at which one is described.

Thanks.

🔗jonszanto <JSZANTO@...>

3/10/2002 12:32:20 PM

Markus,

If you don't get any answers here you might try over at the 'main' tuning list:

/tuning/

There may be more people over there that could help, as there have recently been a lot of posts about notation. You might also mention whether the notation is for use in performance, or if it is to notate for studying a score - they seem to favor differing notations some times...

Cheers,
Jon

🔗Herman Miller <hmiller@...>

3/10/2002 1:25:43 PM

On Sun, 10 Mar 2002 20:53:40 +0200, "Markus Miekk-oja" <torpet@...>
wrote:

>I'm in need for a notation for 16tet, and thought this'd be the place to
>ask. If somebody has devised one, I'd be happy if they'd describe it, or
>give an URL at which one is described.

16-TET has a nice pelog-like scale with five small steps and two large
steps. There isn't a single way of mapping this scale to note names that's
clearly better than any other way, but here's one possible way:

C=0 D=3 E=5 F=7 G=9 A=12 B=14 C=16

Note that most of the major and minor thirds are spelled the same as in
traditional notation, except that B-D is a major third. The notes in
between can be notated with sharps and flats.

C C# Db D Eb E Fb F F# G G# Ab A Bb B Cb C

And you can easily add the cents notation to these written notes as
necessary:

C+0 C#-25 Db+50 D+25 Eb+0 E-25 Fb+50 F+25 F#+0 G-25 G#-50 Ab+25 A+0 Bb-25
B-50 Cb+25 C+0

Another way of mapping the scale is like this:

C=0 D=2 E=4 F=7 G=9 A=11 B=13 C=16

This gives you minor thirds on C-E, F-A, and G-B (the traditional major
thirds) and major thirds on the other four (the traditional minor thirds):
the exact opposite of standard notation.

🔗manuel.op.de.coul@...

3/11/2002 5:31:28 AM

Markus,

If you have a Windows or Linux pc, you can download
Scala, http://www.xs4all.nl/~huygensf/scala
Then if you select "Options" in the Edit menu and
press the "Select" button in the "Note naming
options" area, you will find three different notation
systems for 16-tET, from Easley Blackwood,
Herman Miller and Erv Wilson, E16, M16 and W16
respectively.

Manuel