[gmpi] Re: Topic 6: Time representation
- From: "Frederick Umminger" <Frederick_Umminger@xxxxxxxxxxxxxx>
- To: <gmpi@xxxxxxxxxxxxx>
- Date: Wed, 30 Apr 2003 13:24:09 -0700
-----Original Message-----
From: Paul Davis [mailto:paul@xxxxxxxxxxxxxxxxxxxxx]
> * musical time (ticks, 64 bit integer)
> (obviously requires nanoseconds-per-tick to be available to
> make it usable, plus tempo map info to make it useful)
Musical time is not measured in ticks. If you learn violin in a conservatory,
piano from your neighborhood piano teacher, or rock guitar from a local
headbanger, you will never learn, hear, or use the concept of a "tick". This
notion is an implementation detail of Midi and it appears nowhere else. It is
probably not even familiar to many casual users of Midi.
Musical time, at least in Western music, is measured in beats or in measures.
These can be subdivided any arbitrary amount without any requirement that there
be a greatest common divisor called a tick. Because of the possibility for
arbitrary subdivision, musical time has to be represented as either a rational
or a real number, or a good approximation thereunto.
Integers could be used to represent fixed point numbers approximating the true
rational values, but this awkward since C and C++ have no built in support for
fixed point and since it requires an arbitrary normalization (i.e. the size of
the tick or the position of the decimal point) that corresponds to nothing
found in music.
My experience writing algorithmic composition programs is that it is a total
PITA to choose a PPQN value for a midi file that allows accurate
representations of the rhythmic values one wants, especially if, God forbid,
you are using polyrhythms or want to add small displacements for feel or swing.
The requirement to quantize to an integer PPQN value was an arbitrary and
annoying constraint that made code more complex and gave nothing in return.
There is no need to carry this kind of annoyance forward into a new standard.
The straightforward thing to do is to represent musical time, which is a real
number, with one of the builtin data types that C/C++ provides for real
numbers, i.e. float or double. Doubles should probably be used to guarantee
enough precision. The unit should be a traditional one, either beats or
measures, rather than an artifical technical construct like the tick. I would
vote for beats.
-Frederick Umminger
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- From: Tim Hockin