Index

$\fbox{ $ \mathrm{ftom} $}$

$\fbox{ $ \mathrm{r} $}$

$\fbox{ $ \mathrm{receive} $}$

$\fbox{ $\mathrm{s}$\ }$

$\fbox{ $\mathrm{send}$}$

Wavetable lookup in general

$\fbox{ $ \mathrm{tabosc4}\sim $}$

Wavetable oscillator

$\fbox{ $\mathrm{tabread4}\sim$\ }$

$\fbox{ $\mathrm{tabwrite}\sim$\ }$

Wavetable lookup in general

$\fbox{ $\mathrm{pack}$\ }$

Wavetable lookup in general

$\fbox{ $\mathrm{hip}\sim$\ }$

Using a wavetable as

$\fbox{ $\mathrm{cos}\sim$\ }$

Looping samplers

$\fbox{ $\mathrm{samphold}\sim$\ }$

Looping samplers

$\fbox{ $\mathrm{loadbang}$\ }$

$\fbox{ $\mathrm{expr}$\ }$

$\fbox{$\mathrm{wrap}\sim$}$

$\fbox{ $\mathrm{send}\sim$\ }$

$\fbox{ $\mathrm{s}\sim$\ }$

$\fbox{ $\mathrm{receive}\sim$\ }$

$\fbox{ $\mathrm{r}\sim$\ }$

$\fbox{ $\mathrm{delay}$\ }$ , $\fbox{ $\mathrm{del}$\ }$

$\fbox{ $\mathrm{pipe}$\ }$

$\fbox{ $\mathrm{moses}$\ }$

$\fbox{ $\mathrm{select}$\ }$ , $\fbox{ $\mathrm{sel}$\ }$

Converting controls to signals

$\fbox{ $\mathrm{line}$}$

$\fbox{ $\mathrm{vline}\sim$}$

Converting controls to signals

$\fbox{ $\mathrm{snapshot}\sim$}$

Signals to controls

$\fbox{ $\mathrm{env}\sim$}$

Signals to controls

$\fbox{ $\mathrm{notein}$}$

MIDI-style synthesizer

$\fbox{ $\mathrm{stripnote}$}$

MIDI-style synthesizer

$\fbox{ $\mathrm{trigger}$}$ , $\fbox{ $\mathrm{t}$}$

MIDI-style synthesizer

$\fbox{ $ \mathrm{inlet} $}$

$\fbox{ $ \mathrm{inlet}\sim $}$

$\fbox{ $\mathrm{outlet}$\ }$

$\fbox{ $\mathrm{outlet}\sim$\ }$

Transfer functions for amplitude

$\fbox{ $\mathrm{unpack}$}$

$\fbox{$\mathrm{catch\sim}$}$

Additive synthesis: Risset's bell

$\fbox{$\mathrm{throw\sim}$}$

Additive synthesis: Risset's bell

$\fbox{ $\mathrm{mod}$}$

$\fbox{$\mathrm{div}$}$

$\fbox{ $\mathrm{poly}$}$

$\fbox{$\mathrm{makenote}$}$

Octave divider and formant

$\fbox{$\mathrm{fiddle}\sim$}$

$\fbox{$\mathrm{clip}\sim$}$

Waveshaping and difference tones

$\fbox{ $\mathrm{until}$\ }$

The PAF generator

$\fbox{$\mathrm{delwrite}\sim$}$

Fixed, noninterpolating delay line

$\fbox{$\mathrm{delread}\sim$}$

Fixed, noninterpolating delay line

$\fbox{$\mathrm{vd}\sim$}$

Variable delay line

$\fbox{$\mathrm{block}\sim$}$

Order of execution and

$\fbox{$\mathrm{switch}\sim$}$

Order of execution and

$\fbox{$\mathrm{lop}\sim$}$

$\fbox{ $\mathrm{hip}\sim$\ }$

$\fbox{$\mathrm{bp}\sim$}$

$\fbox{$\mathrm{noise}\sim$}$

Prefabricated time-varying band-pass filter

$\fbox{$\mathrm{vcf}\sim$}$

$\fbox{$\mathrm{rzero}\sim$}$

$\fbox{$\mathrm{rzero\_rev}\sim$}$

$\fbox{$\mathrm{rpole}\sim$}$

$\fbox{$\mathrm{czero}\sim$}$

$\fbox{$\mathrm{czero\_rev}\sim$}$

$\fbox{$\mathrm{cpole}\sim$}$

$\fbox{$\mathrm{fft}\sim$}$

$\fbox{$\mathrm{rfft}\sim$}$

$\fbox{$\mathrm{tabreceive}\sim$}$

$\fbox{$\mathrm{rifft}\sim$}$

Narrow-band companding: noise suppression

$\fbox{$\mathrm{bang}\sim$}$

$\fbox{$\mathrm{tabsend}\sim$}$

Narrow-band companding: noise suppression

$\fbox{$\mathrm{lrshift}\sim$}$

Phase vocoder time bender

$\fbox{$\mathrm{q8\_rsqrt}\sim$}$

Phase vocoder time bender

absolute value (of a complex number)

abstraction

additive synthesis

examples: Additive synthesis: Risset's bell | Additive synthesis: spectral envelope

ADSR envelope generator

Envelope Generators

aliasing

The sampling theorem

all-pass filter

Sinusoids, amplitude and frequency | Measures of Amplitude

amplitude

complex: Complex sinusoids

amplitude, measures of

amplitude, peak

amplitude, RMS

angle of rotation

argument (of a complex number)

arguments

creation: Quick Introduction to Pd

audio signals, digital

Band-pass and stop-band filters

band-pass filter

bandwidth

Designer spectra | Band-pass and stop-band filters

beating

More additive synthesis

Bessel functions

Sinusoidal waveshaping: evenness and

box

Frequency and phase modulation | Carrier/modulator model

GUI: Quick Introduction to Pd
message: Quick Introduction to Pd
number: Quick Introduction to Pd
object: Quick Introduction to Pd

carrier frequency

carrier signal

Designer spectra | Band-pass and stop-band filters

center frequency

Central Limit Theorem

cents

Waveshaping using Chebychev polynomials

Chebychev polynomials

class

classical waveforms

Classical waveforms

clipping

Wavetables and samplers

clipping function

coloration

Artificial reverberation

comb filter

Non-recirculating filter, second form

recirculating: Recirculating delay networks

compander

Narrow-band companding

complex conjugate

complex numbers

compound filter

Compound filters

continuous spectrum

control

Control

control stream

Control streams

numeric: Control streams

covariance

Superposing Signals

creation arguments

Taxonomy of spectra | One-pole, one-zero high-pass filter

DC

debouncing

Event detection

decibels

Units of Amplitude

delay

compound: Operations on control streams
in Pd: Control operations in Pd
on control streams: Operations on control streams
simple: Operations on control streams

delay network

linear: Delay networks

delay, audio

digital audio signals

Dirichlet kernel

Fourier transform of DC

discrete spectrum

distortion

Variable and fractional shifts

Doppler effect

duty cycle

Timbre stretching

dynamic

Units of Amplitude

dynamic range

Narrow-band companding

echo density

Artificial reverberation

elementary filter

non-recirculating: Elementary non-recirculating filter
recirculating: Elementary recirculating filter

encapsulation

Event detection | Envelope following

envelope follower

envelope generator

Synthesizing a sinusoid | Envelope Generators

ADSR: Envelope Generators
resetting: Muting

equalization

Equalizing filters

event

Control streams

event detection

Event detection

feedback

Phase-aligned formant (PAF) generator

filter

Delay networks | Filters

all-pass: Power conservation and complex | All-pass filters
band-pass: Band-pass and stop-band filters
Butterworth: Butterworth filters
compound: Compound filters
elementary non-recirculating: Elementary non-recirculating filter
elementary recirculating: Elementary recirculating filter
high-pass: Low-pass and high-pass filters
low-pass: Low-pass and high-pass filters
peaking: Equalizing filters
shelving: Equalizing filters

first difference

Fourier series of the

foldover

The sampling theorem

formant

Designer spectra

Fourier analysis

Fourier analysis of periodic

Fourier transform

fast (FFT): Fourier analysis and resynthesis
phase shift formula: Shifts and phase changes
time shift formula: Shifts and phase changes
windowed: Fourier analysis of non-periodic

frequency

carrier: Frequency and phase modulation
modulation: Frequency and phase modulation

frequency domain

More additive synthesis | Frequency and phase modulation

frequency modulation

frequency response

frequency, angular

fundamental

gain

granular synthesis

Sampling

GUI box

half-step

Pulse trains via wavetable

Hann window function

Hanning window function

Pulse trains via wavetable | Fourier analysis of non-periodic

harmonic signal

harmonics

high-pass filter

Fourier analysis and reconstruction

hop size

imaginary part of a complex number

Delay networks | Sawtooth wave

impulse

impulse response

Recirculating delay networks

index

of modulation: Frequency and phase modulation
waveshaping: Waveshaping | Waveshaping using Chebychev polynomials

inharmonic signal

interference

Time shifts and delays

intermodulation

Karplus-Strong synthesis

Order of execution and

logical time

Control

low-pass filter

magnitude (of a complex number)

Operations on control streams

merging control streams

in Pd: Control operations in Pd

message box

Quick Introduction to Pd | Control operations in Pd

messages

MIDI

modulating signal

modulation

frequency: More additive synthesis | Frequency and phase modulation
ring: Multiplying audio signals

muting

Muting

noise gate

Narrow-band companding

noisy spectrum

number box

numeric control stream

in Pd: Control operations in Pd

Nyquist theorem

The sampling theorem

object box

octave

Dissecting classical waveforms

oscillator

Synthesizing a sinusoid

parabolic wave

parent

partials

passband

Synthesizing a sinusoid | Quick Introduction to Pd

patch

peaking filter

Equalizing filters

period

Phase relationships between channels

phase locking

phase-aligned formant (PAF)

Phase-aligned formant (PAF) generator

Pitch/Frequency Conversion formulas

polar form (of a complex number)

pole-zero plot

Designing filters

polyphony

Polyphony

power

power series

Operations on control streams

pruning control streams

in Pd: Control operations in Pd

quality (``q'')

Impulse responses of recirculating

real part of a complex number

real time

Control

rectangle wave

Classical waveforms

rectangular form (of a complex number)

reflection

Operations on control streams

resynchronizing control streams

in Pd: Control operations in Pd

ring modulation

ripple

sample number

sample rate

Wavetables and samplers | Classical waveforms

sampling

Sampling

examples: Polyphonic synthesis: sampler

sawtooth wave

settling time

Impulse responses of recirculating

shelving filter

Equalizing filters

sidebands

Resulting spectra | Fourier transform of DC

sidelobes

signals, digital audio

Sampling | Taxonomy of spectra

spectral envelope

spectrum

Sawtooth waves and symmetry

square wave

stable delay network

Recirculating delay networks

stopband

stopband attenuation

subpatch

subpatches

Subtractive synthesis | Predicting and controlling foldover

subtractive synthesis

switch-and-ramp technique

Switch-and-ramp

tags

Voice tags

tasks

Voice allocation

threshold detection

Event detection

timbre stamping

Timbre stamping (classical vocoder)

timbre stretching

Timbre stretching | Carrier/modulator model

time domain

time invariance

Time shifts and phase

time sequence

Control streams

toggle switch

More additive synthesis

transfer function

Linear and Curved Amplitude | Waveshaping | Filters

transient generator

Envelope Generators

transition band

triangle wave

Classical waveforms

unit generators

Synthesizing a sinusoid

unitary delay network

Timbre stamping (classical vocoder)

vocoder

voice bank

Polyphony

von Hann window function

Fourier analysis of non-periodic

wave packet

Resulting spectra

waveshaping