**QUICK-REF** - **CsoundManual**
- **Top of this section** - Previous
- Contents - Index
- Next

## GEN09, GEN10, GEN19

` `**f** # time size 9 pna stra phsa pnb strb phsb . . .
**f** # time size 10 str1 str2 str3 str4 . . . .
**f** # time size 19 pna stra phsa dcoa pnb strb phsb dcob . . .

__DESCRIPTION__

These subroutines generate composite waveforms made up of weighted sums
of simple sinusoids. The specification of each contributing partial requires
3 pfields using **GEN09**, 1 using **GEN10**, and 4 using **GEN19**.

__INITIALIZATION__

*size *- number of points in the table. Must be a power of 2 or
power-of-2 plus 1 ( see f statement).

*pna, pnb*, etc. - partial no. (relative to a fundamental that
would occupy *size* locations per cycle) of sinusoid a, sinusoid b,
etc. Must be positive, but need not be a whole number, i.e., non-harmonic
partials are permitted. Partials may be in any order.

*stra, strb*, etc. - strength of partials *pna, pnb*, etc.
These are relative strengths, since the composite waveform may be rescaled
later. Negative values are permitted and imply a 180 degree phase shift.

*phsa, phsb*, etc. - initial phase of partials *pna, pnb,*
etc., expressed in degrees.

*dcoa, dcob*, etc. - DC offset of partials *pna, pnb*, etc.
This is applied *after* strength scaling, i.e. a value of 2 will lift
a 2-strength sinusoid from range [-2,2] to range [0,4] (before later rescaling).

*str1, str2, str3,* etc. - relative strengths of the fixed harmonic
partial numbers 1,2,3, etc., beginning in p5. Partials not required should
be given a strength of zero.

**Note:**

These subroutines generate stored functions as sums of sinusoids of
different frequencies. The two major restrictions on **GEN10**Ñthat
the partials be harmonic and in phaseÑdo not apply to **GEN09**
or **GEN19**.

In each case the composite wave, once drawn, is then rescaled to unity
if p4 was positive. A negative p4 will cause rescaling to be skipped.

__EXAMPLES:__

` f 1 0 1024 9 1 3 0 3 1 0 9 .3333 180
f 2 0 1024 19 .5 1 270 1 `

f 1 combines partials l, 3 and 9 in the relative strengths in which
they are found in a square wave, except that partial 9 is upside down.
f 2 creates a rising sigmoid [0 - 2]. Both will be rescaled.

**QUICK-REF** - **CsoundManual**
- **Top of this section** - Previous
- Contents - Index
- Next

*HTML Csound Manual - ©
Jean Piché & Peter J. Nix, 1994-97*