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Miller P Book

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Page 1: Miller P Book

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Hb9��37'J �4^ �UH>93GX9�;KJ �U?�: �U^$\K9�G_:�2F¦�jK7 �U\.EK;LH �_:PH>9��$7u\ H<?�Z�7�9 �+E�?$:>: �4Z.G4g�H �UCF7 � ��9�=>g �U\.^ �

Page 24: Miller P Book

1�m ������� ��� ��������� � ��� �� ��� � �� �� ������� ��� � � �� ������

osc~ 440

dac~

<−− 440 Hz. sine wave at full blast

<−− reduce amplitude to 0.05*~ 0.05

<−−−−− send to the audio output device

MAKING A SINE WAVE

Audio computation can be turned on and off by sendingmessages to the global "pd" object as follows:

;pd dsp 1

;pd dsp 0

ON OFF

You should see the Pd window change to reflect whetheraudio is on or off. You can also turn audio on and offusing the "audio" menu, but the buttons are provided as ashortcut.

When DSP is on, you should hear a tone whose pitch is A 440and whose amplitude is 0.05. If instead you are greetedwith silence, you might want to read the HTML documentationon setting up audio.

In general when you start a work session with Pd, you willwant to choose "test audio and MIDI" from the help window,which opens a more comprehensive test patch than this one.

Audio computation in Pd is done using "tilde objects" suchas the three below. They use continuous audio streams tointercommunicate, as well as communicating with other("control") Pd objects using messages.

<−− click these

r �U^$;.=<7F1$2Rp�!|¦�jK7Nvu?3\iH<7�\iH>:�?�@�H<jK7N�K=>:lHD{�J�7 �.9�CFE.G47OEK9�H>vbj !BATyK132 : �4\.7��/9��$732 E�J 2

Page 25: Miller P Book

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Page 26: Miller P Book

1�z ������� ��� ��������� � ��� �� ��� � �� �� ������� ��� � � �� ������

osc~ 440

dac~

*~ 0

0

dbtorms

0

(a)

osc~ 440

dac~

*~

line~ <−−− ramp generator

0.1 2000

0 2000

0.1 50

0 50

0.1

0

<−− slow on

<−− fast on

<−− instant on

<−− slow off

<−− fast off

<−− instant off

<−− multiplier: this time

taking a signal in

on both sides.

(b)

osc~ 440

osc~ 550

osc~ 660

+~

+~

(c)

output~

0dB

mute

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Page 27: Miller P Book

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Page 28: Miller P Book

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Page 40: Miller P Book

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Page 41: Miller P Book

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Page 49: Miller P Book

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Page 53: Miller P Book

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Page 54: Miller P Book

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Page 55: Miller P Book

� ��� � ������� � � � dLp

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Page 56: Miller P Book

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¦�j.7}:<7�ti;.7�\Kv 7O?3@X7u�37�\iH>:�@+?$=�:lH>9�=<H �4\.^�9'\K7u� \.?3H<7 �4:��.�%=>:lH��%H<jK9�HDH<jK7 vu;LH<? & �hG��4\.7�+ �_:/=>93CME�7�J�H<?Mku7�=<? �$H>j.7u\ �.9�@~H<7�=/9MJL7�G49�g'?3@�fVC':<7�v ��9�H/�)j �_vbj�E�? �4\iH)�iG �4\.7�+jK93:�=>7�9$vbj.7�J�ku7�=<? ��H<j.7OE.j%93:<7 �4:)=>7�:<7 H�2X¦�j �_: �4:TJL?3\.7N� �UH<j�H��/?FCM7�:<:>9�^$7�:"!��K=>:lH��.H<j.7E.jK9$:l7 �4:N:<7 HNH<? 1 �+� �UH<j¨\.?�H �4CM7F��9�G4;.7F:l?�H<j%9�H �IH���;.CFEK:PH>?c1F� �UH<j \.?�=>93CME �U\.^%2 �¦�j �_: �_:)H>j.7V�K=b:lH�=>7�93JK9�Z.G47OE%? �U\iHP?�@|H<j.7}�/9��$7 Hb9�Z.G4732T]h7�v ?$\KJ�� �U\8H>j.7}:>9�CF7VCF7�:<:>9�^$7Z%?����|H>j.7�EKjK93:<7 �_:M:l7�\$HMH<? d3d%1 � y3y$y � y3y3y�?��37�=}9 H �4CF7�E�7u= �U?LJ ?�@V1�y � y$y3y � y$y3y�C':l7�v�2¦�j �_:[v ?$=<=>7�:<E�?3\KJ.:PH>?�d3d%2U1F;.\ �IHb:[E�7u=VC �4GUG �_:l7�v ?3\%J09�\KJ H>ji;%:OH<?c9�H<=b9�\K:<E%?i: �UH �4?3\¨?3@?3\.7$2�¦�jK7D;.E.E�7u=/�hG��4\.7�+ �+�)j �_vbj�^37�\.7u=b9�H>7�:�H>j.7TE.j%93:<7 �|=>7�vu7 �4�37�:�H>j.7�:<7DCF7�:>:>9�^37�:B� �49H<j.7O=)EKjK93:<7N?3ZL��7�v HT9�Z�?��37 �UH�2

¦�j.7�7 �.93CMEKGU7�9$:<:<;.CF7�:FH>jK9�H�H<j.7���9��37uH>93Z.GU7 �_:�=b9�CFE�7�J�:lCF?h?�H>j.G4g H<? ku7u=>?09�H7 �UH<j.7�=V7u\%J���93\KJ H<jK7'Z%?3HlH<?$C = �4^3jiHVE%?$=lH �U?$\¨?�@/H<j.7�E%9�H>vbj0:<j.?��D:Oj.?�� H<?�=>7�vu?3=bJc9:<93CFE.GU7 � �4\ H>j �4:Mvu9$:l7�@+?3;.=M:l7�v ?$\KJ.:}GU?$\.^ �V�)j �4vbj �4:}=>93CFE%7�J :lCF?h?�H>j.G4gcH>? k�7u=>? 9�H7 �UH<j.7�=�7�\KJ 2X�D7�=<7�9O=<7�^3;.G_9�= ��9�\%J�v ?$CMEK;LH>9�H �4?3\K93GUG4gMvbjK7�9�E�7u=��|G �U\K7�+�?$ZL��7�v HY:<;<;�v 7�:�2ADGUH<j.?$;.^3j�H>j.7O�/9��$7 Hb9�Z.G47P:<j.?$;.G4J�Z�7V9�HDG47�9$:�H)d�:<7�v ?$\KJ.:�G4?3\.^M@+?$=�H<j �_:)H>?M�/?3=>� �Lg3?$;C'9�g8=<7�v ?3=bJ :<j.?$=lH>7u=N�/9��$7 Hb9�Z.G47�:N: �UCFE.G4g�Zhg v ;.HlH �4\.^�H>j.7FG��4\.7 +?3Z.��7�v HO? & 7�93=<G �U7�=�2¦�j.7P?3\.G4g'vu9��37�9�H �4:YH<j%9�H�� �U@�g$?3;�93=<7P: �4C[;.GUH>93\.7u?$;K:<GUgF=>7�93J �U\.^M9�\KJ��)= �UH �4\.^[@+=<?$CH<j.7

Page 85: Miller P Book

� � ��� � �+����� � � � p$p

adc~ 1

hip~ 5

*~

r cutoff

r phase

bang

delay 5

<−− play the sample

;cutoff 0 5

cut the

sound off

Wait for the

cutoff to finish

set the upper line~ to start

at the first sample and play

forever (or until next trigger)

<−− record

line~*~

del 3990

0 10

(OUT)

vline~

vline~

tabwrite~ tab28

tabread4~ tab28

;phase 1, 4.41e+08 1e+07;cutoff 1

0, 1 5

start new playback

r �U^$;.=>7N`K2U1�d !��D?$\�� GU?h?3E �U\.^F:>9�CFE.G47u=�2

Page 86: Miller P Book

p�z ������� ��� � � � � � � � �-� � � ����� ��� ��� ����� � � ��� ��� ��� :<93CF7D:<93CMEKGU7 �3g3?$;FCF9�g}jK9��37/H>?[9��3? �4JM: �UH<;%9�H �4?3\%:B�)j.7u=>7)=>7�93JF93\KJM�)= �UH<7D?$E%7�=>9�H �4?3\K:9�H<H>93vb��H<j.7V:>9�CF7NE%?$=lH �U?$\�?3@ H>j.7O�/9��$7 Hb9�Z.G47P9�HD?3\Kvu732

¦�j.7��hG �U\K7 + ?3Z.��7�v Hb:}:<;.=>=<?$;.\KJ �4\.^�H>j.7�Hb9�Z.=>7�9$JLd + �/7u=>7�vbj.?i:l7�\0?��37u=}G��4\.7 +Z%7�vu93;K:l7YH<jK7/G_9�H<H<7�="# :�=<?$;.\KJ �4\.^T?3@%Z.=>7�93�hE%? �U\iH>: H<?�H<jK7/\K7�9�=>7�:lH|Z.GU?Lvb�OZ�?3;.\%J.9�=>g �~H�ghE���4v�9�G4GUg81$2 dhfVC':<7�v �Yv�9�\�CF93�37�@+?3=D93;KJ �4Z.GU7O93E%7�= �4?LJ �4v �IH �U7�: �U\�H<j.7O:<?3;.\%J �U@ H>j.7V:<93CFE.GU7�4:�=>7uE�7�9�H>7�J�CF?3=>7OH>jK9�\ 1�y'?3=NQ�yFH �UCF7�:TE�7u=N:l7�v ?$\KJ���9�\KJ��/?3;.G_J8E.=>7u�$7u\iHTg$?3;�@+=>?3C^37uHlH �4\.^'9M\ �_v 7 �KE%7�= �4?LJ �4vO:<?3;K\KJ�9�H)j �U^$j.7u=)=b9�H>7�:�?3@�=>7uE�7 H �IH �U?$\�2

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:<\K9�EK:<j.?3H + !�v ?3\h�$7u=<H)93;KJ �4?�: �U^$\K9�G H>?�v ?$\iH<=>?3G�CF7�:>:>9�^37�:u2�¦�j �_:T93GU��9�gL:�^ �4�37�:)H<j.7CF?$:lHX=<7�v 7u\iH>GUg[vu?3CFE.;LH>7�JF9�;%J �U?O:>9�CFE.G47 �~@�9$:�H � 9$:�� E%?i:<: �4Z.GU7�v ?$\h�37u=b: �U?$\ ����:<?PH<j.7D7u�.93v H:<93CFE.G��4\.^MH �4CF7O��9�= �U7�:�Zig�;.E�H<?F?3\.7V93;KJ �4?FZ.GU?Lvb��2

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{B9�H>vbj}W/y$o.2 :<93CFE.GU7$2 jK?3G_J 2 E�J ��\.?�H�E �4v H<;.=>7�J[j.7u=>7 � :ljK?��D: 9T:>9�CFE.G47 ��9�\%J�� jK?3G_J�;K\ �IH �9�\.?3H<j.7�=);K:<7 @+;.G J.7u� �4vu7P@+?3=DJL? �U\.^'vu?3\iH<=>?3G�H>9$:l�L: �4\�H<j.7V93;KJ �4?F: �4^3\K93G�JL?3C'9 �4\�2

Page 87: Miller P Book

� � ��� � �+����� � � � p�o

sequence

*~

envelope

sample

wrap~

*~ 100

+~ 1

phasor~

−~ 0.5

cos~

*~

*~ 128

+~ 129

+~ 1

*~ 9

phasor~ 0.6

main loop: sawtooth of amplitude 9

read frequency sequence

9x original frequency sawtooth

multiply by raised−cosine smoothing function

(out)

tabread~ sequence

tabread4~ envelope

tabread4~ sample

multiply by audio−frequency sawtooth

envelope sample

adjust for reading

and center for wavetable

adjust amplitude

r �4^3;K=<7O`.241�f !�AT\89�\K93GU?$^���:lgh\iH<j.7�: �4ku7�= ��:lH�giG47T:<7�ti;.7�\Kv 7�=�2

Page 88: Miller P Book

z3y ������� ��� � � � � � � � �-� � � ����� ��� ��� ����� � � ��� ��� ���

mtof

stripnote

select

float

t b f

float

f − store pitch below

velocity stored here

off

recall pitch

notein

line~

$1 100 0 1000

b − bang to recall velocity

sel 0

on

*~

phasor~

−~ 0.5

cos~

*~ +~ 1

cos~

pitch

test for note on or off

test against latest

note−on pitch

filternote−on

*~

/ 127

envelope generator now controls

amplitude as well as grain size

*~ 2

+~ 0.5

This replaces the tabread4~

in the previous patch.(OUT)

pit vel

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Page 93: Miller P Book

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Page 105: Miller P Book

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inlet

outlet outlet

+ $1 − $1

8

13

plusminus 5

3

(a) (b)

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Page 106: Miller P Book

o3z ������� ��� � � � � � ����� � ��� ��� � � � � � � ��� � � ���" �� � ����attack release

line~

0 500

*~

1 2500

10 200 del 200

stop

(IN)

(OUT)

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trigger

adsr 1 100 200 50 300

osc~ 440

*~

(OUT)

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Page 107: Miller P Book

� � � � ������� � � � o$o

inlet

inlet

trigger

sel 0t b

f $1

pack 0 $2

inlet

del $2

line~

f $4

pack 0 $3

inlet inlet

inlet

stop

pack 0 $5

level

* $1

outlet~

and pack with

attack time

if zerorelease

decay

back to zero

* 0.01

attack decay sustain

release

attack

moses

t b b

0

optionally

ATTACK:

test for negative trigger

if so, zero the output

... then

recall peak level

peak

... do this

cancel

DECAY

RELEASE: ramp

anyway

to zero

jump

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Page 108: Miller P Book

1�y$y ������� ��� � � � � � ����� � ��� ��� � � � � � � ��� � � ���" �� � ����

osc~

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line~

line~

osc~

*~

line~line~

sqrt

sqrt

sqrt

sqrt

*~

*~

*~

*~

unpack unpack

r freq

r amp

r freq r amp

LINEAR QUARTIC

;freq 1760 5000

;freq 55 5000

sample messages

output~

0dB

mute

output~

0dB

mute

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Page 109: Miller P Book

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Page 110: Miller P Book

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catch~ sum

s frequency

s duration

40

* 100

mtof

72

duration, tenthsof a second

pitch

partial 1 1 0.56 0

<−− click to play

s trigger

partial 0.67 0.9 0.56 1

partial 1 0.65 0.92 0

partial 1.8 0.55 0.92 1.7

partial 2.67 0.325 1.19 0

partial 1.67 0.35 1.7 0

partial 1.46 0.25 2 0

partial 1.33 0.2 2.74 0

partial 1.33 0.15 3 0

partial 1 0.1 3.76 0

partial 1.33 0.075 4.07 0

(out)

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Page 111: Miller P Book

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sqrt

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0 $1

sqrt

r trigger

float $1

r duration

r frequency

t b b

throw~ sum

$1 5

del 5

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+ $4

float $2

* actual duration

float $3

*

osc~

plus detune

add to global

summing bus

arguments:

relativefrequency

times globalfrequency

ATTACK

DECAY

relativeduration

quartic amplitudecurve

$1 amplitude;$2 relative duration;$3 relative frequency;$4 detune

attack time

5 msec

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Page 112: Miller P Book

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A�: �4C �UG_9�=B7u�.9�CFE.G47 �3E%9�H>vbj �Py3oK2 :<j.7uE%9�=bJ 2 H>?3\.7$2 E�J ��\.?�HXE �_v H>;.=>7�J � �3C'9��$7�:B9V]hj.7�E��9�=bJ�H<?$\.7 ;K: �4\.^ H<j.7¨:>9�CF7 H>7�vbj.\ �4ti;.7$2���\ H>j �4:�7u�L93CFE.GU7cH<jK7 @+=>7�ti;.7�\Kv �47�:�?�@[H<j.7: �4\h;K:<? �_J.:X:<�Y7�7uE'?��37�=�9N�.�L7�JF=>93\.^37 ���K\K93GUG4g���;.CFE �U\K^V@+=>?3C�H<j.7�7u\KJ'Z%93vb�VH>?OH<jK7TZ�7 �^ �4\.\ �4\.^F9�\KJ�=<7�E%7�9�H �4\.^%2�¦�j.7O:<E%7�v H>=>93G%7�\i�$7uG4?3E�7 �_:�9�=>=>93\.^37�JMH<?MjK9��37P9[E�7�93��9�H/H<j.7C �4J.J.GU7O?3@ H<jK7OE �IHbvbj�=>93\.^37N9�\KJ�JL=>?3E�?�&�H>? �U\K93;KJ �4Z �4G��UH�g�9�H)H<j.7N7�J.^37�:�?3@�H>j.7O=b9�\.^$7

Page 113: Miller P Book

� � � � ������� � � � 1�yif

s pitch

51.8

0

s whammybar spectrum−partial 1

loadbang

metro 30

s poll−table

spectrum−partial 2

spectrum−partial 3

send bangs to "poll−table"

needed by the abstraction

0 12 24 36 48 60 72 84 96 108 120

spectrum−tab

r �4^3;.=>7�d%2U1�z !�A�J.J �UH �4�378:<gi\iH>j.7�: �4:}@+?$=F9¨:<E%7�v �U�K7�J :<E%7�v H<=b9�G�7�\i�$7uG4?3E�7 ��J.=>9��)\ �4\�9Hb9�Z.G4732

Page 114: Miller P Book

1�y$m ������� ��� � � � � � ����� � ��� ��� � � � � � � ��� � � ���" �� � ����

osc~

r poll−table

+ 50

dbtorms

0

pack 0 30

line~

throw~ sum−bus

*~

r pitch

mtof

f

* $1

ftom

− r whammybar

pitch to frequency

then get the frequency of this specific partial

... and then convert back to pitch.

... at which time we get the pitch back...

tabread4 spectrum−tab

$1: partial number

calling patch bangs this every 30 msec.

get the strength from the table

and transpose by shifting table index.

but we want true zero when

the table value is 0 or less.

The vertical scale is dB from 1 to 50,moses 1

r �4^3;.=>7NdK241�o !|¦�jK7! ������� � � � � � � � � � � �O9�ZK:lH<=b93v H �4?3\�;%:l7�J �4\��K^3;.=>7NdK241�zK2

Page 115: Miller P Book

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Page 116: Miller P Book

1�y$z ������� ��� � � � � � ����� � ��� ��� � � � � � � ��� � � ���" �� � ����

sampvoice

r note

unpack 0 0 0 0 0 0 0

t b f

f + 1

mod 1e+06

makenote 64

poly 8 1

stripnote

pack 0 0 0 0 0 0 0 0

route 1 2 3 4 5 6 7 8

(OUT)

counter to

supply later

allocate voice

note−off

get rid ofnote−off

route to a voice dependingon voice number from poly

generate tags

abstraction

for each

one "sampvoice"

voice, each

adding its

own output

to a sum (left

inlets and

outlets)sampvoice

sampvoice

sampvoice

sampvoice

sampvoice

sampvoice

sampvoice

r �U^$;.=<7Fd%2 Q3y !VA�E�?3G4ghE.j.?3\ �4v':>9�CFE.G47u=VJL7�CF?3\K:lH<=b9�H �U\.^��$? �_v 7'9�G4GU?Lv�9�H �4?3\¨9�\%Jc;%:l7'?3@H>93^$:�2

Page 117: Miller P Book

� � � � ������� � � � 1�y$o

*~

outlet~

makefilename sample%d

set $1

tabread4~ sample1

dbtorms

unpack

sqrt

sqrt

line~

*~

*~

*~

bang

delay 5unpack 0 0 0 0 0 0 0

f

f f f f f

mtof

/ 261.62

* 4.41e+08

+

delay

pack 0 0 0 0 0

t b b b

+ 1

* 44.1

0 5 1 5 0, $1 $2$3, $4 1e+07 $5 0 $1

inlet

inlet~

+~

delay fornote end

mute

vline~ vline~

amplitudeenvelope

wavetable

index

starting

store parameters first in

readpoint

endingreadpoint

attack decaymute and

unmute

selectwavetable

add to

summing

bus

mute to

delay for

take effect

floats below until muted

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(b.) INHARMONIC

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Page 162: Miller P Book

1�f�d ������� ��� � �� � � �� ���� � � � ����� �

frequency

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center

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bandwidth

frequencyfundamental

/

S/H

trigger

phase

frequencyfundamental

/

− k

p

index

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Page 163: Miller P Book

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p1, q1

k1,

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index 2

k2,

p2, q2

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Page 164: Miller P Book

1�f3m ������� ��� � �� � � �� ���� � � � ����� �

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20

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Page 165: Miller P Book

� ��� � ������� � � � 1�fip

line~

107

cos~

pack 0 50

28

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clip~ −0.5 0.5

...in tenths

smooth it

add 1

increase amplitude of sawtooth

clip to range −1/2 to 1/2

cosine wave lookup (−1/2 and 1/2 give −1)

+~ 1

+~ 1

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add one (range now from 0 to 2)

...and now from 0 to 1

<−index

(OUT)

phasor~

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Page 166: Miller P Book

1�f3z ������� ��� � �� � � �� ���� � � � ����� �

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phase

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−0.5

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(a)

(b)

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Page 167: Miller P Book

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Page 168: Miller P Book

1�m$y ������� ��� � �� � � �� ���� � � � ����� �

0

pd pulse−train

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*~

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modulating oscillator

RING MODULATED PULSE TRAINS

0

osc~

* r freq

<−− pulse train

generator from before

|

(OUT)

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bandwidth

+~ 1

cos~

*~

*~

phasor~ 100

center

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*~ 0.5

raisedcosine

| (frequency)

pulse

carrier

frequency

(as multiple of

fundamental)

(as multiple of

|

|

phase signal

magnified

r �U^$;.=<7OmK2U1�f�!|aT: �U\.^':lH<=>7 Hbvbj.7�J��/9��$7 Hb9�Z.G47P:<gh\iH<j.7�: �_:/H<?FC'9��$7N9}@+?$=<C'9�\iH�� �IH>j�CM?�� �9�Z.G47Ov 7�\$H>7u=�@+=>7�ti;.7�\Kv g$2

Page 169: Miller P Book

� ��� � ������� � � � 1�mK1

cos~

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fundamental

frequency

cos~

wrap~

−~

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−~

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subtract to get the integer part "k"

multiply phase by k and k+1

synthesize two partials "c1" and "c2"

the fractional part "q"

c2 − c1

q * (c2 − c1)

q * c2 + (1−q) * c1

phasor~

center frequency

(relative to fundamental)

line~|

|

| OUT

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Page 170: Miller P Book

1�miQ ������� ��� � �� � � �� ���� � � � ����� �

cos~

*~

cos~

wrap~−~

+~

−~

*~ +~

samphold~

54

center

line~

pack 0 50

phasor~

29

fundamental

72

line~

*~

pack 0 50

cos~

−~ 0.25

+~ 100

tabread4~ bell−curve

*~

waveshaper

mtof

expr 1/$f1

mtof

frequency

*~

bandwidth

mtof

*~

*~ 25

divide by

range for table

offset to middle

C.F. relative

to fundamental

(MIDI units)

ring mod

*~ 0.5 fundamental

of table

|

(OUT)

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Page 171: Miller P Book

� ��� � ������� � � � 1�m$`

t b b

f + 1

0 until

t f f

tabwrite bell−curve

expr exp(−$f1*$f1)

sel 199

expr ($f1−100)/25

bell−curve

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Page 172: Miller P Book

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Page 208: Miller P Book

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Page 209: Miller P Book

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Page 210: Miller P Book

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Page 211: Miller P Book

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��\�\.?3\.=>7�v �U=bv ;KG49�H �4\.^}JL7�G49�gF\.7uH��Y?$=<�L:�� �UHD:ljK?3;.G_J�Z�7�E�?$:>: �UZ.G47�H<?ME.G49$v 7�H<j.7N?$E%7�=>9�H �4?3\?3@i�)= �IH �U\K^ �U\iH<?�H>j.7�JL7�G49�g�G��4\.7X7�9�=>G��47u= �4\PH<j.7Y:l7�t$;K7u\Kvu7|H<jK93\NH<jK9�H�?�@L=<7�93J �4\.^ �UH�2�¦�jK7u=>7:<j.?3;KG4J�H>ji;%:TZ�7[\.?�GU?��/7u=TG��4C �IHP?3\8H>j.7[G47u\.^3H<j�?3@BH<j.7MJL7uG_9�g�G��4\.7 ��7 �.v 7�ELH��)j%9�H<7��37�=�_: �4CFE%?i:l7�J�Zhg�H<j.7 �4\$H>7u=>E%?$G49�H �4?3\�:>vbj.7uCF7 ��:l7�7}:<7�v H �U?$\ ph2qp � 2���\cG493\.^3;%9�^37�:D:<;Kvbjc9$:W/:<?3;.\%J���H>j.7T:<7�ti;.7u\%v 7)?�@ ;.\ �IH/^37u\K7u=b9�H<?$=Bv ?3CFE.;.H>9�H �U?$\ �4: �+CF?$:lH<G4g �B7 �LE.G �_v �UH��$:<?OH>j �4:�_:B7�9$:lg[H<?[:<E�7�v �U@+g32|��\FH>j.7T^$=>93E.j �_vu9�GLE%9�H>vbj �U\.^O7�\h� �4=>?3\.CF7u\iHb: �$j.?��Y7��37�=���H>j.7D?3=bJL7�= �4:�4CFE.G��_v �UHO9�\KJ�93\.?�H>j.7u=N9�EKE.=<?i93vbj8C};K:�HPZ%7}H>93�37�\8H<?�7u\K:<;.= �U\K^�H<j%9�H���@+?$=�7u�L93CFE.GU7 � 9����� � � � � ���T?3Z.��7�v H �_:/vu?3CFE.;LH>7�J�Z%7u@+?3=>7PH<j.7Ov ?$=<=>7�:<E�?3\KJ �4\.^!��� � � � � ����?3ZL��7�v H�2X©�\K7��9�g ?�@O93v�v ?$CMEKG��_:lj �U\.^ H>j �4: �4:�:lj.?��)\ �4\�{B9�H>vbj �Ny$f.2 7u�L7�v ;.H �4?3\�2 ?3=bJL7u=�2 E�J ��r �U^$;.=>7pL2 Q3z � 2

��\[E%9�=<H � 9 � ?�@KH>j.7Y�K^3;.=>7 ��H>j.7�v ?3\K\.7�v H �4?3\K: �4\VH<jK7/E%9�H>vbjMJL?P\.?�HBJL7 H>7u=>C �U\.7/�)j �_vbj?$=>JL7�=[H>j.7�H��Y?¨JL7�G49�g0?$E%7�=>9�H �4?3\K:F9�EKE%7�9�= �U\ H<jK7�:<?3=<H<7�J :<7�ti;.7�\Kv 7�?�@�H �4G4JL7�?$ZL��7�v Hvu?3CFE.;LHb9�H �4?3\ �|H<j.7 � ��� ��� ��� ���F?3ZL��7�v H}vu?3;.G_J¨Z�7�v ?$CFE.;LH<7�J07 �UH<jK7u=[Z�7 @+?$=<7�?3=[9�@~H<7u=H>j.7 ��� �F?3ZL��7�v H�2P� @��/7[� �_:lj�H<?�C'93�37}:<;.=>7VH>j.7[�)= �IH �U\K^�?3E�7u=b9�H �U?$\�jK93E.E%7�\K:�Z%7u@+?3=>7

Page 214: Miller P Book

Q�y$m ������� ��� � ��� ����� � � � ����

45

+~

delay in

pd delay−writer

pd delay−reader

/ 44.1

(BAD)

pack 0 30

pd pulse

delwrite~ G05−d1 1000

vd~ G05−d1

line~

pd pulse

(GOOD)

samples(b)(a)

r �U^$;.=<7¨ph2RQ�z ! aT: �U\K^ :l;KZ.EK9�Hbvbj.7�:'H<? 7�\K:<;.=<7�H>jK9�H�JL7uG_9�g G �4\.7�:�9�=>78�)= �UHlH>7u\�Z�7 @+?$=<7H<j.7�gM93=<7)=>7�9$J �U\'\.?$\�� =<7�v �4=>vu;.G49�H �4\.^N\.7 H��/?3=>�L: ! ��9 �BH<j.7�� ��� ��� ��� ���)9�\KJ ��� �T?$ZL��7�v H>:C �U^$j$H|Z�7/7u�L7�v ;.H<7�J �U\M7 �UH<jK7u=�H<j.7 = �4^3jiH�T?3=�H<j.7 �)=>?3\K^ )?$=>JL7�=�� ��Z � H<j.7������ � � � � ���?3ZL��7�v H �_: �U\%: �_JL7�H<jK7 ��� � ��� � � � ��� � � � � :l;KZ.EK9�Hbvbj 93\KJ H<j.7 ��� �8?3Z.��7�v H �_: �4\K: �_JL7H<j.7 � � � ��� � � �� � � ��� ��?3\.7$2� /7�v�9�;K:<7F?�@/H<j.7�93;KJ �4?�v ?$\.\.7�v H �4?3\ Z%7uH��Y7�7u\ H<jK7'H��Y?:l;KZ.EK9�Hbvbj.7�:��BH>j.7�?$=>J.7u=M?�@T7u�h7�v ;LH �U?$\ ?3@DH<j.7�=>7�93J ���)= �IH>7�EK9 �U= �4:}@+?$=>vu7�J¨H>?cZ�7�H<j.7v ?$=<=>7�v H/?$\.732

H<j.7[=<7�93J �4\.^F?3E�7u=b9�H �U?$\ �L�Y7Vv�9�\�E.=>?Lv 7u7�J�93: �4\8EK9�=<H �+Z �D?�@�H<j.7V�K^3;.=>7 �%9�\KJ�E.;LHTH<j.7H��Y?'?$E%7�=>9�H �4?3\K: �U\�:<;.Z.EK9�H>vbj.7�: ��v ?$\.\.7�v H �4\.^'H>j.7OH��/?'� �_9�93;KJ �4?�: �4^3\K93G4:T:l?'H>jK9�HTH<j.7�K=b:�H�:<;.Z.EK9�H>vbj'C};K:�HYZ%7Tvu?3CFE.;LH>7�JFZ�7 @+?$=<7)H>j.7T:<7�vu?3\KJM?3\K732 ��AD;%J �U?}v ?3CFE.;.H>9�H �U?$\ �U\:l;KZ.EK9�Hbvbj.7�: �_:BJL?$\.7)9�H<?$C �4v�9�G4GUg � �U\}H<jK7D:l7�\K:l7/H>jK9�HBH>j.7�7u\iH �4=<7):<;.Z.EK9�H>vbjFv ?$\$H>7u\iH>:B93=<7v ?$\K: �_JL7�=<7�J}9$:�H<j.7D93;KJ �4?Nvu?3CFE.;LHb9�H �U?$\[@+?$=|H<j.7D:<;.Z.EK9�H>vbj'93:B9P�)j.?$GU7$2|]L?P7��37�=<giH<j �U\.^�U\�H>j.7O?3\.7O:<;.Z.EK9�H>vbj�jK9�EKE%7�\K:)Z�7 @+?3=>7O9�\hgiH<j �4\.^ �4\�H>j.7V:<7�v ?$\KJ�?3\.7$2 �

��\�H<j �4:N7u�L93CFE.GU7 ��H<j.7 = �U^$jiH��93\KJ8H>j.7 �)=<?$\.^ F��9�g�H<?�C'9��37[H<j.7Fv ?$C[Z8�%GIH>7u=jK9��37}9�;KJ �4Z.G4g8J �'&�7u=>7u\iHN=<7�:l;KGIHb:u2Pr.?3=NJL7�G49�gL:DG47�:>:TH<jK93\ m�d�:<93CMEKGU7�: �%H<j.7M= �U^$j$H�jK9�\KJ: �_JL7}?�@|H<j.7}EK9�Hbvbj �+;%: �4\.^�:<;.Z.E%9�H>vbjK7�: ��^ �4�37�:)H<jK7}v ?$=<=>7�v HD=<7�:l;KGIH �%Z.;.H�H>j.7[G47 @~HPjK9�\KJ: �_JL7OJL?h7�:<\ # HDE.=>?hJ.;Kv 7OJL7�G49�gL:�Z�7uG4?���H<jK7Vm�d':<93CFE.GU7NZ.G4?Lvb��: �Uk�732�"���%$ � � � %+��� #�� � ��#�� ��� � !$� � � �% � � � � !�� #&��! %(�*!�� � � ' %+� ��� � #��\�EK9�H>vbj �Ny3m.2 ?Lv Hb9��3732 JL?$;.Z.G47u=�2 E�J ��r �4^3;.=>7Vph2RQ�o �X�Y7P=>7u� �4: �UHYH>j.7 �4JL7�9[?3@ E �UH>vbj�� ZK9$:l7�J?Lv H>9��$7�:<j �U@~H �4\.^ �4\iH<=>?LJL;Kv 7�J'7�93=<G �47u= �U\�EK9�Hbvbj���y$`.2 ?Lv H>9��$732 J �4� �_JL7�=�2 E�J�2�¦�j.7�=<7 �$�h\.?�����U\K^OH<j.7TE%7�= �4?LJ �4v �IH�gM?�@ 93\ �U\Kvu?3C �4\.^[:<?3;.\KJ'93GUG4?��/7�JM;K:BH>?OH<;K\.7�9N= �U\K^VCF?hJ.;.G49�H<?$=BH<?�U\iH>=<?LJL;Kvu7Y:<;.Z.jK93=<CF?$\ �4v�:u2��D7u=>7/�Y7Y=<7�9�G �Uk�7XH<jK7Y?Lv Hb9��37�J.?3;.Z.G47u=|JL7�:<vu= �4Z%7�J �4\M]h7�v H �4?3\ph2 `.2'aT: �4\.^89���93= �_9�Z.G47 � \.?3\�� =>7�v �4=bv ;.G_9�H �U\.^�v ?$C[Zc�KGIH>7u=V�/7M�KGUH<7u=O?$;LHV?LJ.J jK9�=>CF?3\���4v�: � GU7�9�� �4\.^�?3\.G4g�H<jK7'7u�37�\ ?$\.7�:����)j �_vbjc:<?3;.\%Jc93\c?Lv Hb9��37Mj �4^3j.7�=�2MAT:NZ�7 @+?3=>7 ��H<j.7:lE�7�v H<=b9�G�7u\h�37�GU?$E%7P?�@ H<j.7N:l?$;.\KJ �4:/=>?3;.^$j.GUgFE.=>7�:<7u=>�37�JFZhgFH<j.7P?3E�7u=b9�H �U?$\ �L:l?}�Y7Nvu93\9��3? �4J}H<jK7 vbj �4E.C};.\.� N7 &�7�v HY�/7D�Y?$;.G_JFjK9��37)^$?�HXZhg};%: �4\.^[:<E%7�7�J�vbj%9�\.^$7�H<?[JL?VH<j.7H<=b9�\K:<E�?$: �IH �U?$\�2

Page 215: Miller P Book

� � ��� � �+����� � � � Q�yhp

fiddle~ 2048

unpack

moses 1

mtof

pd looper

samplerate~t f b

delwrite~ G06−del 100

delread~ G06−del

vd~ G06−del

+~

+

expr 500/$f1

expr 2048000/$f1

line~

pack 0 20

fundamental frequency

1/2 period, in msec

estimate fiddle~ delay

| OUT

as one window (in msec)

r �4^3;.=>7¨pL2 Q3o ! AT\ ?Lv H>9��37 JL?3;KZ.GU7�=� ;K:<7�:�E �UH>vbj �4\L@+?$=<C'9�H �U?$\ �+?$ZLH>9 �U\K7�J ;K: �4\.^ 9� ��� ��� ���M?3ZL��7�v H ��H>?�H<;.\K7�9�vu?3C}Zc�%GIH>7u=NH<?8=>7uCF?��$7[H>j.7'?LJ.J jK9�=>CF?3\ �_vu: �4\09�\ �U\��vu?3C �U\K^F:<?3;K\KJ 2

Page 216: Miller P Book

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: �4^3\%9�G �+@+=<?$CªH>j.7 � � � � ��� ����:<;.Z.E%9�H>vbj�9�HDH<?$E � 2)¦�j.7V�.�L7�J�?3\K7 � ����� ��� � � � � �_:T:<7 HH<? 9�JL7uG_9�g ?�@O1 �3Q�H<j.7�� �U\%JL?���: �4ku7�?�@�H<j.7�E �UH>vbj0@+?$GUG4?�� �U\K^ 9�G4^3?$= �UH<j.C�28§ j.7�=<7�93:�U\ H<j.7F7�9�=>G��47u=P7 �.9�CFE.G47}H<j �_:P�/9$:Tj �_J.JL7�\ �4\¨9�\.?3H<j.7�=P:<;.Z.EK9�H>vbj � �/7Fvu9�\c\.?�� :<j.?��H<j �_:'7u�hEKG��_v �UH<G4g32�¦�j.7�JL7�G49�g �4\ C �UG4G �4:<7�vu?3\KJ.: �4:'7�:�H �UC'9�H<7�J�9$:'7�ti;K93G)H<?¨H>j.7 Q�y3d$z �:<93CFE.GU7P9�\K93GUgL: �4:Y� �4\KJL?�� ;K:<7�J'ZhgFH>j.7 � ��� � ������?3ZL��7�v H�� �4\�C �4GUG �4:<7�vu?3\KJK:XH>j �4:�vu?3CF7�:H<?�1�y$y3yB$�Q3y�d$z �#g �)j.7�=<7eg �_:/H<jK7V:<93CMEKGU7N=b9�H<7$2

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Page 217: Miller P Book

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Page 219: Miller P Book

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inlet~

reverb−echo echo−del1 5.43216

+~ +~

outlet~ outlet~

+~ +~ −~ −~

+~ +~ −~ −~

inlet/ 200

min 100

max 0

delwrite~ loop−del1 60

delwrite~ loop−del2 71.9345

delwrite~ loop−del4 95.945

delread~ loop−del1 60

delread~ loop−del2 71.9345

delread~ loop−del4 95.945

delread~ loop−del3 86.7545

delwrite~ loop−del3 86.7545

reverb−echo echo−del2 8.45346

reverb−echo echo−del3 13.4367

reverb−echo echo−del4 21.5463

reverb−echo echo−del5 34.3876

reverb−echo echo−del6 55.5437

"early echo" generators, which also increase echo density.

Get the outputs of the recirculating

Do a power−conserving

...then (1,3) and (2,4)

Put the signals back into

the recirculating delays.

Tap outputs from here.

of 0−100 controls reverb

time.

feedback gain on a scale

*~ *~ *~ *~

First combine (1,2) and

delays. Add the inputs to two of them.

mix of them in pairs.

(3,4)...

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Page 220: Miller P Book

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delread~ $1 $2

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Page 221: Miller P Book

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0

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wrap~

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* −1

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speedchange

tape head

phasor~ max 1.5

delay

(msec)

max 1

rotation freq

| OUT

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(msec)

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