path: root/doc/pddp/all_about_acoustic_conversions.pd

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#X obj 12 82 mtof;
#X floatatom 12 105 0 0 0 0 - - -;
#X obj 12 129 ftom;
#X floatatom 12 150 0 0 0 0 - - -;
#X text 47 82 -- MIDI note number to frequency converter.;
#N canvas 37 22 899 659 understanding_mtof 0;
#X text 20 13 [mtof] will convert MIDI note numbers to Wave Freqeuency.
This object exists in Pd for the sake of convenience and speed of processing.
;
#X obj 37 165 mtof;
#X floatatom 37 143 5 0 0 0 - - -;
#X text 77 142 Select a MIDI note: (Middle C is 60).;
#X floatatom 37 188 5 0 0 0 - - -;
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#X text 148 106 show level;
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#X msg 128 204 MUTE;
#X text 164 203 <-- Turn up your volume here.;
#X text 15 260 HERE IS THE ALTERNATIVE;
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#X obj 138 332 expr 1-$f1;
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#X obj 95 372 min 1499;
#X obj 95 419 expr (8.17579891564*exp(0.0577622650*$f1));
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#X obj 408 342 loadbang;
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#X obj 365 428 *;
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#X text 79 277 Select a MIDI note here.;
#X obj 477 572 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
-1;
#X obj 477 12 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
-1;
#X text 496 123 The examples at the botton left are Pd structures which
emulate the source code of the [mtof] object. In one case \, I have
used the [expr] object to perform the necessary calculation. In the
other case \, I used Pd's Arithmetic objects to perform the calculation.
;
#X text 498 291 Secondly \, the incoming MIDI note number is translated
into a frequency value by the simple equation:;
#X text 494 330 (8.17579891564 * exp(0.0577622650 * MIDI_note)) = frequency
;
#X text 498 355 For curiosity's sake \, I included a timer to show
how much faster the [mtof] object is compared to the two alternative
methods.;
#X text 162 556 Arithmetic is __?__ milliseconds slower than [mtof].
;
#X text 159 592 [expr] is __?__ milliseconds slower than [mtof].;
#X text 12 363 RESULT A;
#X text 123 476 RESULT B;
#X text 364 465 RESULT C;
#X msg 408 363 0.0577623;
#X msg 408 403 8.1758;
#X text 504 12 THE ALTERNATIVE EXPLAINED;
#X text 499 33 The [mtof] object is really just a function defined
in Pd's source code - which is programmed in "C".;
#X text 497 67 As such \, it operates very quickly. If a similar function
were to be created using Pd's arithmetic objects \, the process would
be quite a bit slower. How much slower?;
#X text 498 409 As well \, notice that RESULT C (the output from Pd's
basic arithmetic objects) is not as accurate as the other two methods:
[mtof] and/or [expr]. This is because the message boxes and the [*]
object round off the operands because they cannot handle enough decimal
places.;
#X text 498 200 The first order of business performed by these examples
is the filtering out of all numbers less than -1500 and greater than
1499 (Just like the [mtof] source code). In other words \, "overflows
and underflows are clipped" as Miller Puckette stated in the original
documentation for this object.;
#X text 22 62 MIDI notes usually range between 0 and 127 from an incoming
MIDI controller. However \, in Pd negative numbers to -1500 and positive
numbers to 1499 are also supported and decimal places can be used to
achive microtonal pitches.;
#X text 11 125 CONVENIENT? YES!;
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#X restore 175 99 pd understanding_mtof;
#X text 47 129 -- Frequency to MIDI note number converter.;
#N canvas 118 22 919 630 understanding_ftom 0;
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#X text 12 215 HERE IS THE ALTERNATIVE;
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#X obj 507 12 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
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#X text 9 318 RESULT A;
#X text 534 12 THE ALTERNATIVE EXPLAINED;
#X text 527 67 As such \, it operates very quickly. If a similar function
were to be created using Pd's arithmetic objects \, the process would
be quite a bit slower. How much slower?;
#X text 12 68 CONVENIENT? YES!;
#X text 22 14 [ftom] will convert Wave/Signal Frequency to MIDI note
numbers. This object exists in Pd for the sake of convenience and speed
of processing.;
#X text 78 85 Select a Frequency: (i.e. 440 hz is an "A" above middle
C);
#X obj 38 108 ftom;
#X obj 38 158 makenote 100 500;
#X obj 38 181 noteout;
#X text 76 232 Select a FREQUENCY here.;
#X obj 33 276 ftom;
#X text 529 33 The [ftom] object is really just a function defined
in Pd's source code - which is programmed in "C".;
#X text 526 123 The examples at the botton left are Pd structures which
emulate the source code of the [ftom] object. In one case \, I have
used the [expr] object to perform the necessary calculation. In the
other case \, I used Pd's Arithmetic objects to perform the calculation.
;
#X obj 64 256 moses 0;
#X msg 64 277 -1500;
#X floatatom 64 408 0 0 0 0 - - -;
#X floatatom 114 346 0 0 0 0 - - -;
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#X obj 114 273 * 0.122312;
#X obj 114 293 log;
#X obj 101 385 expr (17.3123405046*log(.12231220585*$f1));
#X text 64 423 RESULT B;
#X text 113 359 RESULT C;
#X obj 93 449 bang;
#X obj 33 446 bang;
#X obj 33 466 realtime;
#X floatatom 158 540 0 0 0 0 - - -;
#X obj 201 463 bang;
#X obj 158 463 bang;
#X obj 158 483 realtime;
#X floatatom 158 504 0 0 0 0 - - -;
#X text 189 520 Arithmetic is __?__ milliseconds slower than [mtof].
;
#X text 156 556 [expr] is __?__ milliseconds slower than [mtof].;
#X text 528 200 Firstly \, the Pd source code "clips" overflows and
underflows. This means simply that frequencies LESS THAN zero cannot
be tranlated into a MIDI note value - so they're ignored completely
and the object responds with "-1500".;
#X text 528 291 Secondly \, the incoming frequency is translated into
a MIDI note value by the simple equation:;
#X text 524 330 (17.3123405046 * log(0.12231220585 * Frequency)) =
MIDI_note;
#X text 528 355 For curiosity's sake \, I included a timer to show
how much faster the [ftom] object is compared to the two alternative
methods.;
#X text 528 409 As well \, notice that RESULT C (the output from Pd's
basic arithmetic objects) is not as accurate as the other two methods:
[ftom] and/or [expr]. This is because the message boxes and the [*]
object round off the operands because they cannot handle enough decimal
places.;
#X text 145 119 Note that fractional values have no effect. MIDI controllers
only accept integers. Perhaps a subroutine could be designed to parse
the decimal places and manipulate the pitch bend controller to achieve
microtonal control?;
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#X restore 174 145 pd understanding_ftom;
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#X obj 12 255 rmstodb;
#N canvas 65 78 423 452 understanding_dbtorms 0;
#N canvas 0 22 452 302 What_is_a_decibel? 0;
#X text 24 94 The difficulty in measuring the volume of an instrument
however is caused by 'distance'. For example \, at one metre away from
a door bell \, the amplitude might be 70 Decibels \, while at 50 metres
away the same door bell is just a fraction of that amplitude.;
#X text 25 33 DECIBELS are units by which we measure amplitude. A human
voice is approximately 70 Decibels - a snare drum is approximately
120 Decibels - the threshold of pain for the human ear is approximately
110 Decibels (poor drummers!);
#X text 23 174 Literally \, a Decibel is one-tenth of a Bel. A Bel
\, according to a medical dictionary is approximately the threshold
of the human ear at 1000 hz. I know that this seems a little vague
\, and perhaps this isn't the best way to explain it - we might as
well be measuring "fortnights" and "bunches" and "Alens"! Anyways...I'm
not an acoustician.;
#X restore 39 24 pd What_is_a_decibel?;
#N canvas 0 22 440 242 What_does_RMS_mean? 0;
#X text 24 21 RMS is an acronym meaning "Root Mean Square".;
#X text 23 43 In the analog realm \, RMS is the result of an equation
performed on electrical flow. It is used to measure voltage or current.
It is important to note however \, that it does NOT measure "power".
It's also important to recognize that our ears perceive changes in
amplitude (decibels) more than we perceive changes in RMS levels.;
#X text 23 133 In the digital realm \, i.e. Pd! \, RMS is better defined
as "a measurement of a signal taken by squaring data points along the
curve \, finding the mean \, and then determining the square root of
that mean value.;
#X restore 39 47 pd What_does_RMS_mean?;
#X text 19 80 [dbtorms] in Pd performs the following equation to convert
the data: Note that incoming values less than 0 or greater than 485
are considered overflow or underflow and are clipped/ignored.;
#X text 22 241 Example:;
#X floatatom 24 293 0 0 0 0 - - -;
#X obj 24 313 moses 0;
#X msg 24 333 0;
#X obj 86 352 min 485;
#X text 17 149 (exp((2.302585092994 * 0.05) * (db_value - 100)) = RMS
;
#X floatatom 24 397 0 0 0 0 - - -;
#X obj 151 310 dbtorms;
#X floatatom 151 330 0 0 0 0 - - -;
#X obj 86 372 expr (exp((2.302585092994*0.05)*($f1-100)));
#X text 18 178 On a scale of zero to 100 decibels \, the [dbtorms]
produces exponential values between 0 and 1;
#X msg 24 264 0;
#X msg 57 264 100;
#X obj 61 332 sel 0;
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#X restore 155 227 pd understanding_dbtorms;
#X text 66 209 -- Decibels to RMS converter.;
#X text 66 256 -- RMS to Decibels converter.;
#X floatatom 12 357 0 0 0 0 - - -;
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#X obj 12 334 dbtopow;
#X obj 12 381 powtodb;
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#N canvas 0 22 452 302 What_is_a_decibel? 0;
#X text 24 94 The difficulty in measuring the volume of an instrument
however is caused by 'distance'. For example \, at one metre away from
a door bell \, the amplitude might be 70 Decibels \, while at 50 metres
away the same door bell is just a fraction of that amplitude.;
#X text 25 33 DECIBELS are units by which we measure amplitude. A human
voice is approximately 70 Decibels - a snare drum is approximately
120 Decibels - the threshold of pain for the human ear is approximately
110 Decibels (poor drummers!);
#X text 23 174 Literally \, a Decibel is one-tenth of a Bel. A Bel
\, according to a medical dictionary is approximately the threshold
of the human ear at 1000 hz. I know that this seems a little vague
\, and perhaps this isn't the best way to explain it - we might as
well be measuring "fortnights" and "bunches" and "Alens"! Anyways...I'm
not an acoustician.;
#X restore 39 24 pd What_is_a_decibel?;
#N canvas 0 22 440 242 What_does_RMS_mean? 0;
#X text 24 21 RMS is an acronym meaning "Root Mean Square".;
#X text 23 43 In the analog realm \, RMS is the result of an equation
performed on electrical flow. It is used to measure voltage or current.
It is important to note however \, that it does NOT measure "power".
It's also important to recognize that our ears perceive changes in
amplitude (decibels) more than we perceive changes in RMS levels.;
#X text 23 133 In the digital realm \, i.e. Pd! \, RMS is better defined
as "a measurement of a signal taken by squaring data points along the
curve \, finding the mean \, and then determining the square root of
that mean value.;
#X restore 39 47 pd What_does_RMS_mean?;
#X text 22 219 Example:;
#X floatatom 24 259 0 0 0 0 - - -;
#X floatatom 24 422 0 0 0 0 - - -;
#X floatatom 151 354 0 0 0 0 - - -;
#X msg 68 278 0;
#X text 19 80 [rmstodb] in Pd performs the following equation to convert
the data: Note that incoming values less than 0 is consider underflow
and is clipped/ignored.;
#X text 18 178 On a scale of zero to 1 decibels \, the [rmstodb] produces
logarithmic values between 0 and 100 \, although higher values can
also be produced.;
#X obj 151 334 rmstodb;
#X obj 24 358 max 0;
#X obj 24 401 max 0;
#X obj 24 379 expr (100+((20/2.302585092994)*log($f1)));
#X text 18 136 (100 + ((20/2.302585092994) * log(RMS_value)));
#X obj 24 278 / 1000;
#X floatatom 24 310 0 0 0 0 - - -;
#X msg 101 278 1;
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#X connect 15 0 9 0;
#X connect 15 0 10 0;
#X connect 16 0 15 0;
#X restore 153 273 pd understanding_rmstodb;
#X text 66 335 -- Decibels to power converter.;
#X text 66 382 -- power to Decibels converter.;
#N canvas 460 106 429 458 understanding_dbtopow 0;
#N canvas 0 22 452 302 What_is_a_decibel? 0;
#X text 24 94 The difficulty in measuring the volume of an instrument
however is caused by 'distance'. For example \, at one metre away from
a door bell \, the amplitude might be 70 Decibels \, while at 50 metres
away the same door bell is just a fraction of that amplitude.;
#X text 25 33 DECIBELS are units by which we measure amplitude. A human
voice is approximately 70 Decibels - a snare drum is approximately
120 Decibels - the threshold of pain for the human ear is approximately
110 Decibels (poor drummers!);
#X text 23 174 Literally \, a Decibel is one-tenth of a Bel. A Bel
\, according to a medical dictionary is approximately the threshold
of the human ear at 1000 hz. I know that this seems a little vague
\, and perhaps this isn't the best way to explain it - we might as
well be measuring "fortnights" and "bunches" and "Alens"! Anyways...I'm
not an acoustician.;
#X restore 39 24 pd What_is_a_decibel?;
#X floatatom 21 205 0 0 0 0 - - -;
#X floatatom 21 309 0 0 0 0 - - -;
#X floatatom 148 242 0 0 0 0 - - -;
#N canvas 0 22 442 244 What_does_power_mean? 0;
#X text 30 25 What does power mean? I really don't know? I can't determine
from my own research or from Pd's documentation why or how this data
is used. All that I do know \, is that Pd provides these objects for
a good reason -- I just don't know the reason.;
#X text 27 103 Having said that \, I would enjoy learning from somebody
who DOES know more about these objects and their usage. All that I
can offer is an explanation of the equation used to perform these conversions.
;
#X restore 39 47 pd What_does_power_mean?;
#X text 18 80 [dbtopow] in Pd performs the following equation to convert
the data: Note that incoming values less than 0 or greater than 870
are considered overflow or underflow and are clipped/ignored.;
#X obj 148 222 dbtopow;
#X obj 21 226 max 0;
#X obj 21 246 min 870;
#X text 17 149 exp((2.302585092994 * 0.1) * (db_value - 100)) = Power
;
#X obj 21 269 expr exp((2.302585092994*0.1)*($f1-100));
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#X connect 1 0 7 0;
#X connect 6 0 3 0;
#X connect 7 0 8 0;
#X connect 8 0 10 0;
#X connect 10 0 2 0;
#X restore 154 354 pd understanding_dbtopow;
#N canvas 348 60 429 458 understanding_powtodb 0;
#N canvas 0 22 452 302 What_is_a_decibel? 0;
#X text 24 94 The difficulty in measuring the volume of an instrument
however is caused by 'distance'. For example \, at one metre away from
a door bell \, the amplitude might be 70 Decibels \, while at 50 metres
away the same door bell is just a fraction of that amplitude.;
#X text 25 33 DECIBELS are units by which we measure amplitude. A human
voice is approximately 70 Decibels - a snare drum is approximately
120 Decibels - the threshold of pain for the human ear is approximately
110 Decibels (poor drummers!);
#X text 23 174 Literally \, a Decibel is one-tenth of a Bel. A Bel
\, according to a medical dictionary is approximately the threshold
of the human ear at 1000 hz. I know that this seems a little vague
\, and perhaps this isn't the best way to explain it - we might as
well be measuring "fortnights" and "bunches" and "Alens"! Anyways...I'm
not an acoustician.;
#X restore 39 24 pd What_is_a_decibel?;
#X text 22 241 Example:;
#X floatatom 22 261 0 0 0 0 - - -;
#X floatatom 22 363 0 0 0 0 - - -;
#X floatatom 149 298 0 0 0 0 - - -;
#N canvas 0 22 442 244 What_does_power_mean? 0;
#X text 30 25 What does power mean? I really don't know? I can't determine
from my own research or from Pd's documentation why or how this data
is used. All that I do know \, is that Pd provides these objects for
a good reason -- I just don't know the reason.;
#X text 27 103 Having said that \, I would enjoy learning from somebody
who DOES know more about these objects and their usage. All that I
can offer is an explanation of the equation used to perform these conversions.
;
#X restore 39 47 pd What_does_power_mean?;
#X text 17 81 [powtodb] in Pd performs the following equation to convert
the data: Note that incoming values less than 0 are considered underflow
and are clipped/ignored.;
#X text 17 149 (100 + ((10/2.302585092994) * log(POWER_value))) = Debibels
;
#X obj 149 278 powtodb;
#X obj 22 281 max 0;
#X obj 22 321 expr (100 + ((10/2.302585092994)*log($f1)));
#X obj 22 342 max 0;
#X connect 2 0 8 0;
#X connect 2 0 9 0;
#X connect 8 0 4 0;
#X connect 9 0 10 0;
#X connect 10 0 11 0;
#X connect 11 0 3 0;
#X restore 154 401 pd understanding_powtodb;
#X text 13 439 RELATED OBJECTS;
#X obj 14 458 dbtopow~;
#X obj 68 458 dbtorms~;
#X obj 123 458 rmstodb~;
#X obj 178 458 powtodb~;
#X obj 233 458 mtof~;
#X obj 270 458 ftom~;
#X obj 14 483 expr;
#X obj 46 483 expr~;
#N canvas 0 22 452 302 other_objects_from_related_libraries 0;
#X obj 26 39 db2v;
#X obj 65 38 f2note;
#X obj 115 39 b2db;
#X obj 150 40 t3_sig~;
#X obj 205 40 m2f~;
#X obj 249 41 tmtof;
#X text 18 96 These objects are offered in Pd only if you have downloaded
and properly installed the appropriate library. These objects may or
may not exist in a single library.;
#X text 17 145 The best places to find information about Pd's libraries
is:;
#X text 14 167 www.puredata.org and click on "Downloads" then "Software"
;
#X text 15 183 or;
#X text 16 197 iem.kug.ac.at/pdb/;
#X restore 14 518 pd other_objects_from_related_libraries;
#X obj 90 483 rmstopow~;
#X obj 154 485 powtorms~;
#X obj 220 485 sig~;
#X obj 254 485 snapshot~;
#X obj 5 2 cnv 15 850 20 empty empty all_about_acoustic_conversions
20 10 1 18 -233017 -66577 0;
#X obj 821 3 pddp/pddplink http://puredata.info/dev/pddp -text pddp;
#X text 439 41 Please note: I have no idea why it's necessary for Pd
to measure decibels \, rms \, or power. It seems to me that RMS and
Power are extremely important in the analog world (so that an engineer
doesn't blow up a transistor)...but in Pd \, these things are just
numbers which have been abstracted from their original analog counterparts.
I would really appreciate if somebody could help me understand these
concepts and finish this document. Why are these objects present in
Pd? WHY should they be used and what benefits to they produce in a
digital process?;
#X text 14 574 This document was updated for Pd version 0.35 test 29
by Dave Sabine as part of a project called pddp proposed to build comprehensive
documentation for Pd.;
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