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MICHAEL SCOTT ASATO CUTHBERT:
Hello, computational

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music researchers.

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We're going to continue our
study of corpora and what we can

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do with the corpus of music by
talking about some research that

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I did with Sophia H. Sun, who
was a visiting student at MIT

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in 2016-2017 and graduated in
2018 from Wellesley College.

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We've published our work as a
motion painting, lyric, affect,

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and musical relationships in
a large lead sheet corpus.

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So this is work
that's about looking

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at a large musical corpus
and also looking at words

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and how music and
words interact.

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Words and musical
moments are generally

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both felt to have
intrinsic emotions,

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but while the emotional
context of text

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is determined at least in
part from the semantics that

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is the meaning of individual
words and sentences,

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the emotional content of
individual musical parameters

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is far less well defined.

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This lack of definition
is especially

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acute in written
musical scores that

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are separated from the
aural and visual components

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of particular performances
or recordings.

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So a major question
for music perception

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or the psychology of music is
do particular musical features

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such as consonance
and dissonance

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beat placement and pitch height.

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When they're separated from
their performative elements,

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do they still carry
particular emotional meanings

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such as exhilaration or sadness?

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It might not be possible to
answer such a question directly,

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but we can approach
the answer indirectly

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by asking are there
musical features that

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are used in
conjunction with texts

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and are associated with
particular sentiments

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or emotions with such
regularity that we might believe

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that the musical features
themselves are used

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to strengthen the effect of
these affects and emotions

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or do they indeed carry that
affect or emotion themselves.

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The problem with
making such connections

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with the traditional
musical analysis

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is that there's no
perfect correlation

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between any musical feature
and any emotional state.

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We might think at least
in Western common practice

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tradition that
words connoting joy

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would tend to be higher in
pitch than the notes around them

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or the notes preceding it.

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And it's easy to find examples
to confirm this theory.

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In Schubert's
"Gretchen am Spinnrade"

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or "Gretchen at the
Spinning Wheel,"

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one of his leads every
single time, the word Herz,

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which is the German for heart,
appears or lacheln, smile,

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or Zauber, magic,
Der Kuss, kiss,

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it's always at the same
pitch height or higher than

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the preceding note and
always in the upper register

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for the singer.

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[MUSIC PLAYING]

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SINGER: [NON-ENGLISH SINGING]

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PROFESSOR: So it might sound
like this is an easy connection,

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but then a little bit of
Elvis enters into your head.

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ELVIS PRESLEY: (SINGING)
But I can't help

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Falling in love with you

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PROFESSOR: In this
song by Elvis,

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originally written by
George Weiss and others,

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called "Can't Help
Falling in Love,"

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we always hear the words love
and darling below the previous

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note.

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Even in an expression
as magicalistic or full

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of word painting as
falling, even that

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is set with a rising motion.

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So this says that individual
pieces, some here and some

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there, might have
clear relationships

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among text and emotion
and musical features.

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But across a large corpus,
the aggregated experience

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of listening to common practice
or folk or popular music

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is far more muddled.

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To clarify this, we can
turn to corpus studies,

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especially
computational analysis

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of large repertories of
musical encoded data sets

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whose sheer volume makes it
impossible for human researchers

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to analyze all these
pieces manually.

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With computational methods
for extracting connections

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among music, text,
and emotion, we

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can find statistically
significant trends

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in music affect
relationships that stand out

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from a large corpus even if the
magnitude of the trend itself

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is quite small.

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Sophia Sun and I
used a repository

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of lead sheets, that is melodies
with lyrics and chord symbols.

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There were about 1,900
songs, 1,895 in total,

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that were in English language,
that the encodings seem to be

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high quality and that
there were no duplicates.

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This is a repository
called Wikifonia

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that used to be freely
available on the internet,

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and unfortunately their
license expired and now

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is only available to those who
had downloaded it beforehand.

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In these 1,900 songs, there's
about 200,000 notes and a little

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bit less than that in terms of
the words and 70,000 chords.

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So this is a big
repository to look at.

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We also used a second corpus but
this one not a musical corpus.

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This is an open crowdsourced
database of 14,000 common

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English words that was
made Mohammad and Turney

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of the National Research
Council of Canada,

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and each of these words has been
coded according to the affects

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that they have.

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For instance, words with
the affect of anticipation

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include skewed or recreational
or zeal, holiness, intimately,

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harbinger, birthday, something
I think we all anticipate,

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or plan.

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And we can also look at
words that have that affect

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and that affect alone.

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So, for instance, if
we look at disgust,

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we see slime, dung, barf,
diarrhea, gratuitous heartworm,

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things that only have
this particular affect.

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Together with a small list
of what we call stopwords--

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these are words that have no
affect and appear too commonly

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such as the, and, us, she, he--

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about 60% of all the
words in the songs

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could be classified
according to affect

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or not having affect in
the stop list neutral.

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And there are at least 2,000
instances of each affect

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and some with over 12,000
that appeared in this corpus.

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So there were--
in the repository,

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there were 2,853 songs
that had anger in them.

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Also in the corpus were 25,000
words that were coded as being

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neutral.

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And then of those
plus stopwords,

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there were about 12,000 words
that we can be pretty sure to be

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neutral.

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And then 100-- sorry, 123,000
that could be believed to be

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neutral--

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and then 183,000 is all of the
comprehensive words that did not

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fill foot--

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fit into one of
these 10 affects.

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Sun and I use music21
to automatically label

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every instance of the word in
the data set alongside one value

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that we are measuring
at the time.

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So, for instance, this is
the song "Greensleeves,"

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also known at Christmas
as "What Child Is this,"

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and in this excerpt, every word
except for the word alas was

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identified by the composer-- by
the computer as being somewhere

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in the data set.

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But only two words
in this excerpt

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had a particular affect
that had been identified.

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They affect--
identified love as joy

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and positive and
wrong as negative.

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So then we looked at particular
values that we could measure.

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For instance, the one that
I talked about earlier about

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pitch height--

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so we're going to look
for each word looking

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at the first syllable,
how many semitones

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above or below the previous
note does that word appear?

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So my is two semitones or
a whole step above alas.

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Love is two semitones above my.

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Going forward, wrong is
four semitones below me.

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With measurements like this,
we can test the first theory.

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Do positive words rise in
pitch and negative words

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descend in pitch?

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Here is our graph of the results
for this particular measurement,

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what we call the relative
pitch measurement.

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And what we can do on the left
are the 10 affects or emotions

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that we were looking at-- anger,
anticipation, disgust, fear,

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joy, negative, positive,
sadness, surprise, and trust--

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and we can look at words
with that connotation

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compared to the
neutral words that

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had been identified in the
National Research Council Canada

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data set.

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And we can see
that, for instance,

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looking across at the top
line to the highlighted--

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to the highlighted figure that
anger was a little bit higher--

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well, there's a plus
sign, so it was higher

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than the neutral thing.

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But the 0.89 is the p value.

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That is our confidence.

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How often would such a
value happen by chance?

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And you subtract from 1
so 1 minus 0.89 whatever.

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It's about 10% chance
it would happen

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by chance that all the words
for anger would be higher.

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And usually we don't think of
p values that are below 0.95

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or 95% chance or 5% chance
of happening accidentally.

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We don't think of those
as having meaning.

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In fact, when you do what
we call multiple comparison

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sets where we're looking
at a lot of things at once,

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we really want p values that
are much better than 0.05,

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0.01, 0.001, and so on.

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And so in this chart, anger
doesn't have a particular color

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on the NRC Mutual Set.

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There's no statistically
significant value there,

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nor does anticipation,
disgust or fear.

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But joy on the other hand is
labeled with a darker blue,

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meaning that this is
statistically significant.

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The three stars show how
statistically significant.

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So the words with joy are
higher than neutral words.

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Negative words didn't
have any sort of p value,

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but positive words had a
slight positive correlation.

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They're a little bit
higher, but if we go down,

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surprise was a strong thing.

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So words with surprise were
higher than other words.

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We can look at other
parts, and, for instance,

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on the right side
this triangular chart,

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we can look at how each affect
correlates with another affect.

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So we can see that surprise
is slightly statistically

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significantly higher
than words about anger

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or slightly statistically
significantly higher

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than words about negative.

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The column just to the right
of the yellow highlighted chart

00:12:55.630 --> 00:12:58.630 align:middle line:84%
are the stop words
compared to the, a,

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and, and every
single emotional word

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is higher in pitch
than a stop word.

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Just think about when I say the.

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It's pretty low.

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We don't tend to put this kind
of high emphasis on stop words.

00:13:13.730 --> 00:13:17.480 align:middle line:84%
So I'm going to show some
of the things that came up

00:13:17.480 --> 00:13:20.900 align:middle line:84%
comparing these affects
to neutral words

00:13:20.900 --> 00:13:26.380 align:middle line:84%
because this seems to be the
most fun and interesting part

00:13:26.380 --> 00:13:27.800 align:middle line:90%
of the research.

00:13:27.800 --> 00:13:30.610 align:middle line:84%
So all of this,
this whole chart,

00:13:30.610 --> 00:13:37.870 align:middle line:84%
will get reduced to a
single column in this chart.

00:13:37.870 --> 00:13:40.210 align:middle line:84%
And so we can see
the relative pitch

00:13:40.210 --> 00:13:45.040 align:middle line:84%
that joy, positive, and
surprise are higher.

00:13:45.040 --> 00:13:48.170 align:middle line:90%
Here is the key for the chart.

00:13:48.170 --> 00:13:51.950 align:middle line:84%
So I don't show how much higher
or how much lower in pitch

00:13:51.950 --> 00:13:54.260 align:middle line:84%
or how much more
positive or negative,

00:13:54.260 --> 00:13:57.320 align:middle line:84%
just the ma-- just the direction
in terms of the colors.

00:13:57.320 --> 00:14:00.320 align:middle line:84%
So blue colors tend to
be higher in some way,

00:14:00.320 --> 00:14:03.350 align:middle line:84%
and mine-- and brown
colors are lower.

00:14:03.350 --> 00:14:07.330 align:middle line:84%
And then the intensity of
the shade shows the p value.

00:14:07.330 --> 00:14:13.300 align:middle line:84%
So the first things are shaded
happen only 1% chance that

00:14:13.300 --> 00:14:17.680 align:middle line:84%
they're happening by chance,
and then the next shade is 1/10

00:14:17.680 --> 00:14:22.280 align:middle line:84%
of 1% Then going down
1/100 to 1%, 1,000th of 1%,

00:14:22.280 --> 00:14:24.650 align:middle line:90%
1/10,000 of 1%.

00:14:24.650 --> 00:14:28.340 align:middle line:84%
And you can see on the right
as 10 to the negative 5,

00:14:28.340 --> 00:14:31.870 align:middle line:84%
negative 6, negative 7, you'll
see some of the charts were

00:14:31.870 --> 00:14:35.650 align:middle line:84%
really showing things that
are absolutely positively not

00:14:35.650 --> 00:14:40.890 align:middle line:84%
by chance, things with 10 to
the negative 200ths or more.

00:14:40.890 --> 00:14:44.860 align:middle line:90%


00:14:44.860 --> 00:14:47.570 align:middle line:84%
One of the things that we
thought was really interesting,

00:14:47.570 --> 00:14:50.480 align:middle line:84%
we looked at the beat
strength of every note.

00:14:50.480 --> 00:14:53.960 align:middle line:84%
So we compared to the
prevailing time signature,

00:14:53.960 --> 00:14:57.190 align:middle line:84%
which is quite often 4/4, and
we were able to figure out

00:14:57.190 --> 00:14:59.480 align:middle line:84%
what's on the beat and
what's off the beat.

00:14:59.480 --> 00:15:02.830 align:middle line:84%
And one of the things we can see
looking at the blue parts that

00:15:02.830 --> 00:15:05.830 align:middle line:84%
words connoting joy
and positive emotions

00:15:05.830 --> 00:15:09.700 align:middle line:84%
are really much more common to
happen on the beat, similarly

00:15:09.700 --> 00:15:11.450 align:middle line:90%
with surprise and trust.

00:15:11.450 --> 00:15:15.100 align:middle line:84%
But looking at things
that happen off the beat

00:15:15.100 --> 00:15:19.930 align:middle line:84%
or on weak beats, that's where
you put the words for anger

00:15:19.930 --> 00:15:24.520 align:middle line:84%
or syncopate, disgust, or
fear or negative emotions

00:15:24.520 --> 00:15:28.533 align:middle line:90%
tend to happen on weaker beats.

00:15:28.533 --> 00:15:31.750 align:middle line:84%
Similarly, we can look
at the length of notes

00:15:31.750 --> 00:15:37.030 align:middle line:84%
that almost nothing has a
positive correlation that

00:15:37.030 --> 00:15:39.740 align:middle line:84%
is to they say that is
longer than you would expect.

00:15:39.740 --> 00:15:43.720 align:middle line:84%
But these negative emotions--
anger, disgust, fear,

00:15:43.720 --> 00:15:46.330 align:middle line:90%
and just the general negative--

00:15:46.330 --> 00:15:53.440 align:middle line:84%
tend to be on shortened notes so
that we're really just spitting

00:15:53.440 --> 00:15:58.270 align:middle line:90%
out these short emotions.

00:15:58.270 --> 00:16:03.250 align:middle line:84%
Intriguingly, when we look at
the overall pitch, the pitch

00:16:03.250 --> 00:16:06.070 align:middle line:84%
of a note compared
to the average pitch

00:16:06.070 --> 00:16:09.200 align:middle line:84%
of the entire song, there's
basically no correlation.

00:16:09.200 --> 00:16:16.990 align:middle line:84%
We don't tend to sing happy
things high and sad things low.

00:16:16.990 --> 00:16:23.050 align:middle line:84%
Only a little bit with positive
happy, joy, surprise-ly things

00:16:23.050 --> 00:16:24.790 align:middle line:84%
do we set them a
little bit higher

00:16:24.790 --> 00:16:28.150 align:middle line:90%
than what was happening before.

00:16:28.150 --> 00:16:31.245 align:middle line:90%
Did look at consonants.

00:16:31.245 --> 00:16:35.970 align:middle line:84%
What notes with-- what
words are set to notes that

00:16:35.970 --> 00:16:38.538 align:middle line:90%
are part of a consonant chord?

00:16:38.538 --> 00:16:40.080 align:middle line:84%
Remember these are
lead sheets, so we

00:16:40.080 --> 00:16:44.110 align:middle line:84%
have the melody, the words,
and also the underlying chords.

00:16:44.110 --> 00:16:47.770 align:middle line:84%
We can see some of these
negative emotions, anger

00:16:47.770 --> 00:16:53.430 align:middle line:84%
but especially sadness and some
are on more dissonant thing

00:16:53.430 --> 00:16:53.970 align:middle line:90%
notes--

00:16:53.970 --> 00:16:57.880 align:middle line:84%
than the dissonant chords
than the prevailing piece

00:16:57.880 --> 00:17:01.890 align:middle line:84%
but also somewhat
surprising joy.

00:17:01.890 --> 00:17:03.540 align:middle line:84%
Maybe that's the
way you emphasize

00:17:03.540 --> 00:17:09.990 align:middle line:84%
joyful words or surprising words
that you put them on slightly

00:17:09.990 --> 00:17:12.869 align:middle line:90%
more dissonant words.

00:17:12.869 --> 00:17:17.190 align:middle line:84%
Looked at two ways of
classifying the mode of a piece,

00:17:17.190 --> 00:17:24.660 align:middle line:84%
so major or minor, and we looked
at do certain emotions appear

00:17:24.660 --> 00:17:27.430 align:middle line:84%
more in songs that are
in minor versus in major?

00:17:27.430 --> 00:17:30.715 align:middle line:84%
And this is something that I
at least had always been taught

00:17:30.715 --> 00:17:32.340 align:middle line:84%
and I think many of
us have been taught

00:17:32.340 --> 00:17:36.090 align:middle line:90%
that minor pieces are sad.

00:17:36.090 --> 00:17:38.670 align:middle line:84%
And maybe minor pieces
are sad, but the words

00:17:38.670 --> 00:17:41.740 align:middle line:84%
aren't any sadder than
major mode pieces.

00:17:41.740 --> 00:17:45.630 align:middle line:84%
There's no distinction
between major and minor

00:17:45.630 --> 00:17:48.855 align:middle line:90%
when we look at the whole piece.

00:17:48.855 --> 00:17:50.520 align:middle line:90%
So instead we used--

00:17:50.520 --> 00:17:53.580 align:middle line:84%
oh, and by the way, we will be
looking later in this semester

00:17:53.580 --> 00:17:57.840 align:middle line:84%
and how we can computationally
measure the key of a piece

00:17:57.840 --> 00:17:59.340 align:middle line:90%
when we get to Caroline--

00:17:59.340 --> 00:18:02.400 align:middle line:90%
Carol Krumhansl's work.

00:18:02.400 --> 00:18:06.220 align:middle line:84%
So we thought maybe it's
not the whole piece,

00:18:06.220 --> 00:18:09.930 align:middle line:84%
but maybe that these
sad emotions appear

00:18:09.930 --> 00:18:14.370 align:middle line:84%
in a minor section or piece
using a lot of minor chords

00:18:14.370 --> 00:18:16.090 align:middle line:90%
within a larger piece.

00:18:16.090 --> 00:18:20.550 align:middle line:84%
So we looked at the local
mode, just the mode of the four

00:18:20.550 --> 00:18:22.890 align:middle line:90%
measures on either side of--

00:18:22.890 --> 00:18:26.080 align:middle line:84%
I think it was four measures--
on either side of a word.

00:18:26.080 --> 00:18:29.410 align:middle line:84%
And there we found a
very small correlation,

00:18:29.410 --> 00:18:32.670 align:middle line:84%
but it was exactly the
opposite of what we expected.

00:18:32.670 --> 00:18:37.890 align:middle line:84%
In a local section, we use brown
to represent minor in this case

00:18:37.890 --> 00:18:39.720 align:middle line:90%
and blue to represent major.

00:18:39.720 --> 00:18:43.950 align:middle line:84%
Joy and positive emotions tend
to appear a little bit more

00:18:43.950 --> 00:18:46.263 align:middle line:90%
in locally minor pieces.

00:18:46.263 --> 00:18:50.550 align:middle line:90%


00:18:50.550 --> 00:18:56.040 align:middle line:84%
What it might be is that there's
not this connotation of sadness

00:18:56.040 --> 00:19:00.750 align:middle line:84%
or negative or anger with
minor, but about not knowing

00:19:00.750 --> 00:19:02.610 align:middle line:90%
where you are.

00:19:02.610 --> 00:19:06.450 align:middle line:84%
So we looked at the
tonal certainty.

00:19:06.450 --> 00:19:08.980 align:middle line:84%
How clear is it
what key we're in?

00:19:08.980 --> 00:19:13.060 align:middle line:84%
And here we found some
correlations that were negative.

00:19:13.060 --> 00:19:15.930 align:middle line:84%
That is to say, anger
and negative words

00:19:15.930 --> 00:19:21.810 align:middle line:84%
tend to appear a little bit more
in tonally uncertain passages.

00:19:21.810 --> 00:19:24.270 align:middle line:84%
Now this isn't necessarily
a guide to composers

00:19:24.270 --> 00:19:27.940 align:middle line:84%
for what to do but what
composers have done,

00:19:27.940 --> 00:19:30.383 align:middle line:84%
what people have
done in the past.

00:19:30.383 --> 00:19:33.150 align:middle line:90%


00:19:33.150 --> 00:19:37.650 align:middle line:84%
So what did we learn
by doing all of this?

00:19:37.650 --> 00:19:39.810 align:middle line:84%
Words connoting joy
and surprise are

00:19:39.810 --> 00:19:42.010 align:middle line:84%
higher in pitch than
their surrounding context,

00:19:42.010 --> 00:19:45.000 align:middle line:84%
but negative connotations
such as anger or disgust

00:19:45.000 --> 00:19:49.710 align:middle line:84%
are not lower in pitch
than in neutral were.

00:19:49.710 --> 00:19:53.350 align:middle line:84%
Positive words are not
highlighted with consonances.

00:19:53.350 --> 00:19:56.250 align:middle line:84%
If anything, it's
slightly the opposite.

00:19:56.250 --> 00:19:59.940 align:middle line:84%
In one measure of dissonance,
however, words connoting sadness

00:19:59.940 --> 00:20:02.670 align:middle line:84%
are more common,
but negative words

00:20:02.670 --> 00:20:07.290 align:middle line:84%
appear more often in passages
of tonal uncertainty.

00:20:07.290 --> 00:20:11.070 align:middle line:84%
Finally, mode has
almost no correlation

00:20:11.070 --> 00:20:13.770 align:middle line:84%
with the emotion of
words whether we're

00:20:13.770 --> 00:20:15.270 align:middle line:84%
talking about the
mode of the piece

00:20:15.270 --> 00:20:17.160 align:middle line:84%
or whether the
chord at that moment

00:20:17.160 --> 00:20:20.220 align:middle line:84%
is major or minor though
surprise and anticipation do

00:20:20.220 --> 00:20:21.785 align:middle line:90%
get minor chords more often.

00:20:21.785 --> 00:20:24.840 align:middle line:90%


00:20:24.840 --> 00:20:32.145 align:middle line:84%
It may be that this
connection of minor with sad

00:20:32.145 --> 00:20:36.040 align:middle line:84%
is one of these cases of a
purely musical connection.

00:20:36.040 --> 00:20:38.190 align:middle line:84%
That is to say we've
learned to hear

00:20:38.190 --> 00:20:43.540 align:middle line:84%
minor music as sad regardless
of what the words are about.

00:20:43.540 --> 00:20:45.960 align:middle line:84%
And this is something
that, as a music historian

00:20:45.960 --> 00:20:49.930 align:middle line:84%
I know hasn't been true all
throughout music's history.

00:20:49.930 --> 00:20:53.880 align:middle line:84%
There were times when a pure
major chord was considered

00:20:53.880 --> 00:20:59.730 align:middle line:84%
harsh or a little bit sad,
and that's not the case today.

00:20:59.730 --> 00:21:02.790 align:middle line:84%
But maybe when people
do consistently

00:21:02.790 --> 00:21:06.750 align:middle line:84%
report in music psychology
surveys that they hear sadness

00:21:06.750 --> 00:21:10.680 align:middle line:84%
in minor pieces that there's
something happening that's not

00:21:10.680 --> 00:21:12.430 align:middle line:90%
fully explained in the words.

00:21:12.430 --> 00:21:15.100 align:middle line:84%
So there's always more
research to happen.

00:21:15.100 --> 00:21:18.000 align:middle line:84%
And I just want to
thank you for allowing

00:21:18.000 --> 00:21:22.670 align:middle line:84%
me to share what Sophia
Sun and myself have found.

00:21:22.670 --> 00:21:30.000 align:middle line:90%