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aiming at 2.2: dodecafonic staves

From: Heikki Johannes Junes
Subject: aiming at 2.2: dodecafonic staves
Date: Sun, 5 Oct 2003 04:21:58 +0300 (EEST)

Now that 2.0 is out, one should think what to put in 2.2.

Modern music has a lot of possibilities, which basically give more freedom
to a composer to express their music. I'll present here the idea of a
dodecafonic stave which could be used instead of the diatonic stave.

I just figured out that in modern music the diatonic stave (seven pitches
for chromatic scale in a stave) is not adequate to represent always
dodecafonic music. For example, if you want to represent parallel clusters
(using the current notation), they will be glued together. Instead, a
chromatic stave (twelve pitches for chromatic scale in a stave) is adequate
to represent parallel clusters. The most intuive version of such scales is
the following:

As a diatonic stave, a cromatic stave would have five lines, starting from

c''   -O-
b'       O
ais'  -----O-----------------------------------
a'           O
gis'  ---------O-------------------------------
g                O
fis'  -------------O---------------------------
f'                   O
e'    -----------------O-----------------------
dis'                     O
d'    ---------------------O-------------------
cis'                         O
c'                            -O-

It is rather easy to implement, and chromatic marks are optional.  The only
obscurity here is in the note naming: How should one call the note names so
that there would not be a conflict between cromatic marks and note names.
For example, `c + is' is marked with a chromatic mark but `cis' without.
Apparently, one has to

   A) invent a set of new note names for such notation, such as:
      - numbers:    1  2  3  4  5  6  7  8  9 10 11 12
      - alphabets:  a  b  c  d  e  f  g  h  i  j  k  l
      - user-given: c  h  r  o  m  a  n  t  i  z  e  d (different letters)

or B) use current note names and give the chromatic mark as an argument:
      - the following will result to same notation:   cisis d eses
      - the following will result to chromatic marks: cis-is d es-es

Modern music has a lot of new notation, and many of them are good and
intuitive. For example, accelerando can be marked with increasing number
of bars (here only two notes are shown).

 | \|
 |  |
 | O

Here the problem is that what is the mathematical duration of such
construct. But anyway, the notation exist and is well known.



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