Mora - Mariano
Mora
 MAT
201A
 • 

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Unformatted text preview: Mariano
Mora
 MAT
201A
 •  etting
the
context



(Why
do
this?)
 S • Technicalities














(How
to
do
it?)
 
 • Realisation
of
the
algorithm

(Do
it)
 
 •  emo


(Was
it
worth
doing?)
 D • Discussion
 
 “and
that
which
is
done
is
that
which
shall
be
done:
 and
there
is
no
new
thing
under
the
sun.”
 HUMAN
INTERACTION
IN
PERFORMING
MUSIC
 • RICERCARE
=
“to
follow”,
“to
pursue”
 • FUGUE =
“to
flee”
 
 • CUES
:
(1..,
2..,
1,
2,
3,
4)
 
 Aka
Pygmies
 Men
dance
before
 leaving
 on
a
hunting
 expedition
 J.S.
Bach
 The
Art
of
Fugue
 HUMAN‐COMPUTER
INTERACTION
 1
 2
 3
 FUNDAMENTAL
FREQUENCY
EXTRACTION
 TIME
DOMAIN:
 FREQUENCY
 DOMAIN:
 •  utocorrelation
 A •  armonic
Product
 H Spectrum
 •  verage
Magnitude
Difference

Function
 A (AMDF)
 •  epstrum
Peak
Picking
 C Autocorrelation
 t +W rt (τ ) = ∑x j x j +τ j = t +1 € Useful
for
finding
 repeating
 patterns,
such
as
 the
presence
of
a
a
 periodic
signal

 Average
Magnitude
Difference
Function
 1N ∑ si − si− n N i= 0 Similar
to
the
autocorrelation

 function.
 Less
expensive
since
it
requires
 no
multiplication
 € Cepstrum
Peak
Picking
 Harmonic
Product
Spectrum
 Shortcomings:
 • Human
hearing
is
 
 logarithmic
 • To
gain
higher
 
 resolution
we
must
 perform
a
longer

FFT


 Future
Work
 • Gaining
deeper
knowledge
of
these
and
countless
other
methods
 
 • Extending
to
other
parameter
tracking
and
feature
extraction
mechanisms
 
 • Implementing
machine
learning
methods
that
can
adapt
to
live
performance
 
 • Using
all
this
to
make
‘beautiful’
music


 
 References:
 There
are
innumerable

books
and
articles
that
deal
on
this
subject.
 I
have
found
these
very
useful:
 McLeod,
P.
,
Wyvill,
G.(2005):
A
Smarter
Way
to
Find
Pitch.
 
ICMC
Proceedings,
138‐141.
 De
la
Cuadra,
P.
:
Pitch
Detection
Methods.

 http://www.ccrma.stanford.edu/~pdelac/154/m154paper.htm
 De
Cheveigné,
A.,
Kawahara,
H.(2002):
YIN,
a
fundamental
 frequency
estimator
for
pitch
and
music.

 Acoustical
Society
of
America
111,
4.

 And
last
but
by
no
means
least
the
invaluable
help
from
Phil
Popp!
 Questions?
 ...
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