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SAU is a simple language for mathematical sound synthesis,
without support for the use of pre-recorded samples.
The current syntax uses keywords followed by zero or more
parameters with arguments. Each main keyword provides an action,
either at run time (like a function call in other languages),
or at parse time (like a global script setting).
The most important keyword, "O" followed by a wavetype, adds an
operator (FM synth terminology for oscillator with a certain
configurability). They may be connected as carriers and modulators.
They, and the timing of their running, make the core features of
the scripting language.
Events and timing are central; each addition of an operator, or
later change to operator or voice parameters, is an event. Timing
modifiers may be used quite freely in the script to change the
relative time placement of events.
Keyword parameters may either be set (named, followed by writing
their argument(s)), or left out to use the previous value or a
default value. Some default values can be changed using the "S"
(set option) parse-time action.
Modifiers are similar to keywords, but simpler and more flexible
in how they may be used. They may or may not be followed by an
argument (e.g. a delay time).
Syntax overview
Each of these keywords is further described in its own section below.
S Set option (parameter default value or other);
runs during parsing.
O Add operator, as in oscillator with parameters;
a carrier and/or modulator which produces sound
for a duration; the "O" is followed by the (initial)
wave type, as in "Osin".
See the section 'Timing' for modifiers.
S: Set option
Set parameter default value or other option; runs during parsing.
Usage: "S", followed by zero or more parameters, each with a value.
c Default O "c" (channel mixing) value. Starts at 0.0,
i.e. C (center). See "Channel mixing values" for more.
Useful as a main way of setting the parameter value.
f Default O "f" (frequency, Hz) value. Starts at 444.
r Default O "r" (relative frequency) value. Starts at 1.
t Default O "t" (time, seconds) value. Starts at 1.
a Multiplier for O "a" (amplitude) value, applied when
adding a top-level carrier. If used, this disables automatic
down-scaling of amplitude by the number of voices, for
manual control instead.
n A4 tuning (Hz) for O "f" (frequency, Hz) value using
note syntax. Starts at 444.
O: Operator
Add operator, as in oscillator with parameters. If a carrier
and not a modulator, adds sound at current time position,
playing for the time duration.
Usage: "O" followed by (initial) wave type (e.g. "Osin"),
followed by zero or more parameters, each with a value.
Wave types:
sin Sine.
For cosine, use (1/4) phase.
sqr Square (anti-aliased cycle).
Lacks full "bite" at low frequencies.
tri Triangle (naive).
saw Saw (anti-aliased cycle).
Lacks full "bite" at low frequencies.
Decreasing slope; use negative amplitude
or frequency for increasing slope.
sha Half-frequency absolute sine (adjusted).
Frequency halved to restore base frequency,
peak amplitude centered and doubled, phase
shifted to begin and end at zero amplitude.
A softer alternative to "saw" (saw wave).
szh Half-zero'd sine (adjusted).
Positive half kept, negative half zero'd,
peak amplitude centered and doubled, phase
shifted to begin and end at zero amplitude.
A warm and full sound.
ssr Square root of sine.
Mirrored for the negative half.
A softer alternative to "sqr" (square wave).
Channel mixing values:
Panning, where 0.0 is centered. Named constants can be used in place
of numbers for the three classic channel "modes". Values outside the
range of L to R are allowed, amplifying one channel while giving the
other a negative amplitude.
C 0.0
L (-1.0)
R 1.0
t Time duration in seconds. If no t setting is given, the
time set depends on the context.
For a single non-nested operator, 1 is used unless
the default value is changed with "S t".
When several operators are specified at the same
time and time is explicitly set for at least one, the
default time is the combined duration of their play.
(t* can also be used to specify this explicitly.)
For nested operators, i.e. modulators, the default
time is infinite (can also be set as "ti"), meaning they
play whenever a carrier they are linked to does. Infinite
duration is only supported for nested operators, all scripts
having finite duration.
For a composite event, the first part is given the
S default value if none set. The following parts will each
in turn be given the value of the preceding part if not
explicitly set - with the exception of nested operators for
the last part, which will have infinite time (ti) by default.
f Frequency in Hz. Can be negative to flip wave shape timewise.
"Value ramp" values are supported; see section.
"Modulation with value range" is supported for FM
(frequency modulation); see section.
r (For modulator operators only.) Relative frequency, a value
which will be multiplied by the carrier frequency to give
the frequency to use. For an n:m carrier-modulator frequency
ratio, a value of the form (m/n) may be used; e.g., for a
3:4 frequency ratio, "r(4/3)".
"Value ramp" values are supported; see section.
"Modulation with value range" is supported for FM
(frequency modulation); see section.
a Amplitude, where 1.0 corresponds to a level of 0dB and
0.0 is silence. (Note that the final output level is scaled
down by the number of voices; alternatively, the S "a" option
can be used to set a multiplier used when adding a top-level
carrier. Panning will further reduce output level unless
fully left or right.) Can be negative to flip sign of result.
"Value ramp" values are supported; see section.
"Modulation with value range" is supported for AM
(amplitude modulation); see section.
p Set the phase of the wave, and/or PM (phase modulation)
modulators to use.
A value modulo 1.0 is used to set phase as a
percentage of the wave cycle. For example, p(3/4) will move
a sine or triangle wave to its "bottom". This is mostly
useful for changing the initial phase.
After a value or by itself, "+[]" (plus and square
brackets) can be used to set a list of modulator operators
specified within the "[]"; the list replaces any previous
modulators set, and may be empty.
The sum of modulator amplitudes is used to
phase-modulate the carrier(s).
s Silent time before playing, time in seconds.
Works like adding a delay, except it only affects this
w Set the wave type. See list of wave types for values.
c Channel mixing; see "Channel mixing values".
"Value ramp" values are supported; see section.
Values and expressions
Whitespace is not allowed within multi-character names, keywords or
numbers, and separates values. Spaces and tabs may otherwise be used or
omitted anywhere.
Comment syntax:
"//" (C++-comment) comments out the rest of the line.
"/*" (C-comment) comments out text until after the next "*/".
"#!" (Shebang) comments out the rest of the line.
"#Q" (Quit file) comments out the rest of the whole file.
Numerical expressions are allowed within parentheses, allowing numbers
to be specified using basic arithmetic and freely placed whitespace.
Value ramp:
To ramp or "sweep" a parameter which supports this towards a
target value, the following sub-parameters can be given values
within "{}" (curly brackets):
v Target value.
t Time to reach target value (default re-use time duration).
c Ramp curve type (default 'lin'):
hold Hold old value until time.
lin Linear trajectory over time.
exp Exponential trajectory over time.
log A "log(1 + x)" trajectory over time.
esd Exponentially saturate or decay.
lsd Logarithmically saturate or decay.
(The 'exp' and 'log' types use ear-tuned polynomial
approximations with definite beginnings and ends,
designed to sound natural, and symmetric one to another.
The 'esd' increases like 'log' and decreases like 'exp',
like a capacitor, natural-sounding for envelope-like use.
The 'lsd' increases like 'exp' and decreases like 'log'.)
Modulation with value range:
Amplitude and frequency (absolute or relative) parameters support
AM or FM, respectively, with a value range.
Following the letter specifying the parameter, and optionally
the normal value, a second value can be specified after a "," (comma)
for a bounded range of values from the modulation.
After value(s) or by itself, "~[]" (tilde and square brackets)
can be used to set a list of modulator operators specified within the
"[]"; the list replaces any previous modulators set, and may be empty.
Each such modulator will produce a result in a 0.0 to 1.0
range, i.e. a positive signal, multiplied by its amplitude parameter
(defaulting to 1.0).
The product of modulator amplitudes is mapped to the value
range; 0.0 means the normal value and 1.0 means the second value.
Setting (changing) the amplitude for modulators may thus change
the range, but is allowed for the sake of flexibility.
Parameters and operator binding:
When specifying or referencing operators within "@[...]", any
parameters set following the closing ']' will be bound to and apply
to all of them.
Significantly, this allows multiple carriers (given within
the []) to be linked to the same modulator(s), whether for FM, PM,
or AM. (Note: Support for this is experimental and incomplete.)
Labels and referencing:
Any operator when specified may be prefixed by "'label " in order
to define a label for it, where the label consists of alphanumeric
characters and/or '_'; thereafter the label can be referenced using
"@label", to place future changes later in the script.
Note that a "@label" reference placed in a nesting scope
different from the original does not add the operator to the new
nesting scope. (It will not be moved out from nor into a list by
being referenced anywhere.) The time scope is however new and of
the reference.
Frequencies as notes:
Frequency values may be specified as notes. Currently, justly
intoned C-major scale is supported; "S n" sets the A4 tuning
(default 444Hz).
The value consists of the note (C, D, E, F, G, A or B),
optionally given a prefix and/or suffix. The prefix is an optional
subnote (c, d, e, f, g, a or b) inside an inner octave (between
note and next note). The suffix is an optional s (sharp) or
f (flat), and/or, in the last position, an octave number
(from 0-10, default 4).
A new event terminates the previous one, but they will have the same
placement in time unless a delay is added.
At the topmost script scope, newlines also terminate events; within
sub-scopes, however, newlines may be placed freely.
Timing modifiers:
| Time separator. Delays what follows by the duration of
prior events. This is independent of delay added
with "\".
\ Delay the next event and all following ones, time in
seconds. Alternatively, \t will delay by the time of the
last event.
Composite events:
Writing a ';' (on a new line or the same line) after an event will
allow specifying new parameter arguments to apply at the end of the
previous duration; this can be repeated.
This makes it possible to write a sequence of events as if
a single "composite event", not having to insert delays that affect
the timing of events later written, thus increasing the flexibility
of how changes to operators may be positioned in a script.
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