6
Algorithm: SS
References
Original equation:
Algorithm SS is a highly modi ed version of summation synthesis originally
developed by James Moorer. e premise comes from a simple mathematical
equality between an in nite harmonic series and a relatively easy to compute
expression.
Modi ed Equation:
MORPH -
changes the waveform of all oscillators
DAMP -
sets the
a
parameter in the equality. This controls the generated
spectra with higher values producing higher power harmonics.
MOD -
phase modulates oscillator A by oscillator B
Interface
FOLD -
sets the wave-fold threshold on the final wave folder
is equation allows a wide variety of musical spectra to be produced by
only two parameters. Loquelic Iteritas generalizes the sinusoidal terms into
multi-waveform oscillators: two of these track the two input pitches while
the third tracks the difference of the two pitches and adds a wave folder for
more harmonics. In the equation oscillator A is the le sinusoidal term in
the numerator. Oscillator B is the sinusoidal term in the denominator.
Moorer, James A. "e synthesis of complex audio spectra by means of
discrete summation formulas." Journal of the Audio Engineering Society
24.9 (1976): 717-727.
Jolley, Leonard Benjamin William, ed. Summation of series. Courier
Corporation, 2012.
sin
(
θ
β
)
1+
a
−2
a
cos
(
β
)
2
sin
(
Θ
) −
a
sin
(
Θ
−
β
)
= ∑
∞
x
=0
a
x
+
x
sin
(
w t
w t
)
1+
a
−2
a
cos
(
w t
)
2
B
sin
(
w t
) −
a
sin
(
w t
−
w t
)
A
A
B
= ∑
∞
x
=0
a
x
A
+
x
B
Noise Engineering
Loquelic Iteritas
Complex Digital Oscilator
