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Composing by the Numbers | John Mayrose | TEDxOshkosh


Pythagoras believed that there were

Pythagoras believed that there were three types of music the music we play

three types of music the music we play

three types of music the music we play on instruments the unheard music that

on instruments the unheard music that

on instruments the unheard music that exists inside our bodies and a music

exists inside our bodies and a music

exists inside our bodies and a music created by the cosmos centuries later in

created by the cosmos centuries later in

created by the cosmos centuries later in his discovery that the orbits of the

his discovery that the orbits of the

his discovery that the orbits of the planets were elliptical Johannes Kepler

planets were elliptical Johannes Kepler

planets were elliptical Johannes Kepler ascribed a musical scale to each planet

ascribed a musical scale to each planet

ascribed a musical scale to each planet and he believed the planet sang a cosmic

and he believed the planet sang a cosmic

and he believed the planet sang a cosmic chorus as they traveled around the Sun

chorus as they traveled around the Sun

chorus as they traveled around the Sun the attempts by both Pythagoras and

the attempts by both Pythagoras and

the attempts by both Pythagoras and Kepler to find music in nature is

Kepler to find music in nature is

Kepler to find music in nature is ultimately bound by the scientific

ultimately bound by the scientific

ultimately bound by the scientific observation and can be disproven but

observation and can be disproven but

observation and can be disproven but what would happen if a composer whose

what would happen if a composer whose

what would happen if a composer whose artistic freedom was not bound by the

artistic freedom was not bound by the

artistic freedom was not bound by the rigor of the scientific method where do

rigor of the scientific method where do

rigor of the scientific method where do attempt to do the opposite to take

attempt to do the opposite to take

attempt to do the opposite to take something that is not music and make it

something that is not music and make it

something that is not music and make it musical now this idea is not new Baroque

musical now this idea is not new Baroque

musical now this idea is not new Baroque composers wrote music to evoke human

composers wrote music to evoke human

composers wrote music to evoke human effects romantic composers wrote

effects romantic composers wrote

effects romantic composers wrote programmatic music that told epic tales

programmatic music that told epic tales

programmatic music that told epic tales but what I am thinking of are the kinds

but what I am thinking of are the kinds

but what I am thinking of are the kinds of techniques pioneered by the composer

of techniques pioneered by the composer

of techniques pioneered by the composer and architect Yanis Tanaka’s who use

and architect Yanis Tanaka’s who use

and architect Yanis Tanaka’s who use mathematical formulas to generate music

mathematical formulas to generate music

mathematical formulas to generate music and a large body of my own compositions

and a large body of my own compositions

and a large body of my own compositions I take a similar approach creating

I take a similar approach creating

I take a similar approach creating systems or sets of rules based on

systems or sets of rules based on

systems or sets of rules based on concepts borrowed from mathematics

concepts borrowed from mathematics

concepts borrowed from mathematics physics and technology and I want to

physics and technology and I want to

physics and technology and I want to start with my first venture into this

start with my first venture into this

start with my first venture into this way of composing music with a piece that

way of composing music with a piece that

way of composing music with a piece that I wrote in 2003 called what hath God

I wrote in 2003 called what hath God

I wrote in 2003 called what hath God wrought now this weather ominous title

wrought now this weather ominous title

wrought now this weather ominous title is taken from the first Telegraph

is taken from the first Telegraph

is taken from the first Telegraph message that Samuel Morse sent from the

message that Samuel Morse sent from the

message that Samuel Morse sent from the US Capitol to Baltimore on May 24th 1844

US Capitol to Baltimore on May 24th 1844

US Capitol to Baltimore on May 24th 1844 and we have no idea why Morse chose to

and we have no idea why Morse chose to

and we have no idea why Morse chose to send such an ominous message but

send such an ominous message but

send such an ominous message but arguably the invention of the Telegraph

arguably the invention of the Telegraph

arguably the invention of the Telegraph marks the start of the Information Age

marks the start of the Information Age

marks the start of the Information Age or at least foreshadows it for the first

or at least foreshadows it for the first

or at least foreshadows it for the first time information could be transmitted

time information could be transmitted

time information could be transmitted from one place to someplace far away

from one place to someplace far away

from one place to someplace far away simultaneously and the code that Morse

simultaneously and the code that Morse

simultaneously and the code that Morse invented is binary a precursor to the

invented is binary a precursor to the

invented is binary a precursor to the binary systems used by computers over a

binary systems used by computers over a

binary systems used by computers over a century later from a composer standpoint

century later from a composer standpoint

century later from a composer standpoint Morse code lends itself easily to a

Morse code lends itself easily to a

Morse code lends itself easily to a translation to music we simply make a

translation to music we simply make a

translation to music we simply make a dot a short note value and a dash a

dot a short note value and a dash a

dot a short note value and a dash a longer note value and we get rhythms I

longer note value and we get rhythms I

longer note value and we get rhythms I mean Morse code is basically the

mean Morse code is basically the

mean Morse code is basically the transmission of information by rhythm

and when we convert it the word what

and when we convert it the word what would sound like this do-do-do-do-do

would sound like this do-do-do-do-do

would sound like this do-do-do-do-do do-do-do-do-do a similar approach could

do-do-do-do-do a similar approach could

do-do-do-do-do a similar approach could be applied to the pitch or what notes

be applied to the pitch or what notes

be applied to the pitch or what notes are played a dot could be two notes that

are played a dot could be two notes that

are played a dot could be two notes that are close together a small interval a

are close together a small interval a

are close together a small interval a dash could be two notes that are further

dash could be two notes that are further

dash could be two notes that are further apart a larger interval and when these

apart a larger interval and when these

apart a larger interval and when these two elements are combined the words

two elements are combined the words

two elements are combined the words become melodies for example the word god

become melodies for example the word god

become melodies for example the word god played here by the english horn bassoon

played here by the english horn bassoon

played here by the english horn bassoon an electric bass sounds like this and

an electric bass sounds like this and

an electric bass sounds like this and the word what played by the electric

the word what played by the electric

the word what played by the electric guitar sounds like this

guitar sounds like this

guitar sounds like this [Music]

now what I’m gonna do is play you a

now what I’m gonna do is play you a short excerpt of the piece so you can

short excerpt of the piece so you can

short excerpt of the piece so you can hear these things in action you’re gonna

hear these things in action you’re gonna

hear these things in action you’re gonna hear that God melody played and it’s

hear that God melody played and it’s

hear that God melody played and it’s gonna be followed by all of the

gonna be followed by all of the

gonna be followed by all of the instruments playing the entire message

instruments playing the entire message

instruments playing the entire message what hath God wrought and they’ll be

what hath God wrought and they’ll be

what hath God wrought and they’ll be playing in Canon meaning they’ll play

playing in Canon meaning they’ll play

playing in Canon meaning they’ll play the same music but they’ll start at

the same music but they’ll start at

the same music but they’ll start at different times this will be followed by

different times this will be followed by

different times this will be followed by all of the instruments playing the word

all of the instruments playing the word

all of the instruments playing the word what in Canon again but this time

what in Canon again but this time

what in Canon again but this time playing the melody at different speeds

playing the melody at different speeds

playing the melody at different speeds this recording is by my group pulse

this recording is by my group pulse

this recording is by my group pulse optional from our 2007 debut album

[Music]

[Music] [Applause]

[Applause]

[Applause] [Music]

[Music]

[Music] [Applause]

[Applause]

[Applause] [Music]

[Music]

[Music] [Applause]

[Applause]

[Applause] [Music]

[Music]

[Music] [Applause]

[Applause]

[Applause] [Music]

[Music]

[Music] now this way of composing music built on

now this way of composing music built on

now this way of composing music built on systems really excited me for one I

systems really excited me for one I

systems really excited me for one I created music I could have never have

created music I could have never have

created music I could have never have conceived of in any other way but it

conceived of in any other way but it

conceived of in any other way but it also allowed me to communicate with an

also allowed me to communicate with an

also allowed me to communicate with an audience I mean regardless of whether or

audience I mean regardless of whether or

audience I mean regardless of whether or not an audience member knows Morse code

not an audience member knows Morse code

not an audience member knows Morse code it’s still possible for them to hear

it’s still possible for them to hear

it’s still possible for them to hear that a message is being transmitted but

that a message is being transmitted but

that a message is being transmitted but my approach was not entirely rigorous

my approach was not entirely rigorous

my approach was not entirely rigorous and as a composer I had great freedom

and as a composer I had great freedom

and as a composer I had great freedom and ever since writing this piece I

and ever since writing this piece I

and ever since writing this piece I wanted to write a piece that was

wanted to write a piece that was

wanted to write a piece that was entirely based on a system a composition

entirely based on a system a composition

entirely based on a system a composition where I could explain every note every

where I could explain every note every

where I could explain every note every rhythm every formal choice I wanted to

rhythm every formal choice I wanted to

rhythm every formal choice I wanted to write the perfect algorithmic

write the perfect algorithmic

write the perfect algorithmic composition and that came several years

composition and that came several years

composition and that came several years later with Libra bossy for percussion

later with Libra bossy for percussion

later with Libra bossy for percussion ensemble in this piece I was interested

ensemble in this piece I was interested

ensemble in this piece I was interested in two concepts both from mathematics

in two concepts both from mathematics

in two concepts both from mathematics fractals and the Fibonacci sequence now

fractals and the Fibonacci sequence now

fractals and the Fibonacci sequence now I want to start with fractals a fractal

I want to start with fractals a fractal

I want to start with fractals a fractal can be defined as a fragmented geometric

can be defined as a fragmented geometric

can be defined as a fragmented geometric shape that can be split into smaller

shape that can be split into smaller

shape that can be split into smaller parts each of which are reduced copy of

parts each of which are reduced copy of

parts each of which are reduced copy of the hole and fractals are generated

the hole and fractals are generated

the hole and fractals are generated using reiterative processes where the

using reiterative processes where the

using reiterative processes where the same set of rules are applied to the

same set of rules are applied to the

same set of rules are applied to the object again and again and the creation

object again and again and the creation

object again and again and the creation of the sierpinski triangle is a great

of the sierpinski triangle is a great

of the sierpinski triangle is a great demonstration to create this triangle we

demonstration to create this triangle we

demonstration to create this triangle we start with an equilateral triangle then

start with an equilateral triangle then

start with an equilateral triangle then we invert it and reduce its size

we invert it and reduce its size

we invert it and reduce its size creating now three new equilateral

creating now three new equilateral

creating now three new equilateral triangles and we can do the same thing

triangles and we can do the same thing

triangles and we can do the same thing to each of those triangles to leave us

to each of those triangles to leave us

to each of those triangles to leave us with nine triangles and we could

with nine triangles and we could

with nine triangles and we could reproduce repeat this process again and

reproduce repeat this process again and

reproduce repeat this process again and again on each new triangle and

again on each new triangle and

again on each new triangle and eventually we’re going to be left with

eventually we’re going to be left with

eventually we’re going to be left with smaller units that are just miniature

smaller units that are just miniature

smaller units that are just miniature replicas of the larger unit and I

replicas of the larger unit and I

replicas of the larger unit and I thought what would it be like to have a

thought what would it be like to have a

thought what would it be like to have a piece of music that was just like this

piece of music that was just like this

piece of music that was just like this triangle and had the same relationships

triangle and had the same relationships

triangle and had the same relationships the large triangle would be the overall

the large triangle would be the overall

the large triangle would be the overall composition smaller triangles would be

composition smaller triangles would be

composition smaller triangles would be smaller sections and the smallest

smaller sections and the smallest

smaller sections and the smallest triangles would be the individual notes

triangles would be the individual notes

triangles would be the individual notes the second aspect that I was interested

the second aspect that I was interested

the second aspect that I was interested in is the Fibonacci sequence and this

in is the Fibonacci sequence and this

in is the Fibonacci sequence and this sequence was first presented by Leonardo

sequence was first presented by Leonardo

sequence was first presented by Leonardo of Pisa better known as Fibonacci in his

of Pisa better known as Fibonacci in his

of Pisa better known as Fibonacci in his twelve thousand two book Libra basi or

twelve thousand two book Libra basi or

twelve thousand two book Libra basi or book of calculation and it appears on

book of calculation and it appears on

book of calculation and it appears on one small page of this rather large tome

one small page of this rather large tome

one small page of this rather large tome where Fibonacci is describing the

where Fibonacci is describing the

where Fibonacci is describing the reproduction of rabbits and Fibonacci

reproduction of rabbits and Fibonacci

reproduction of rabbits and Fibonacci set up the following rules it takes one

set up the following rules it takes one

set up the following rules it takes one month for a bunny to grow to mature a

month for a bunny to grow to mature a

month for a bunny to grow to mature a bit and each month a mature rabbit will

bit and each month a mature rabbit will

bit and each month a mature rabbit will produce one offspring so if we follow

produce one offspring so if we follow

produce one offspring so if we follow Fibonacci the first month

Fibonacci the first month

Fibonacci the first month have a bunny in the second month that

have a bunny in the second month that

have a bunny in the second month that bunny grows into a mature rabbit in the

bunny grows into a mature rabbit in the

bunny grows into a mature rabbit in the third month that rabbit praises a new

third month that rabbit praises a new

third month that rabbit praises a new offspring and now we have two rabbits in

offspring and now we have two rabbits in

offspring and now we have two rabbits in the fourth month the first rabbit

the fourth month the first rabbit

the fourth month the first rabbit creates another offspring and the bunny

creates another offspring and the bunny

creates another offspring and the bunny matures and we can continue it in month

matures and we can continue it in month

matures and we can continue it in month five they’re gonna be five rabbits in

five they’re gonna be five rabbits in

five they’re gonna be five rabbits in month six there will be eight in month

month six there will be eight in month

month six there will be eight in month seven there will be 13 and we can

seven there will be 13 and we can

seven there will be 13 and we can continue this process to infinity by the

continue this process to infinity by the

continue this process to infinity by the time we reached we 14 our rabbit

time we reached we 14 our rabbit

time we reached we 14 our rabbit population has grown to 610 there’s

population has grown to 610 there’s

population has grown to 610 there’s another way that we can make the

another way that we can make the

another way that we can make the Fibonacci sequence and that’s using a

Fibonacci sequence and that’s using a

Fibonacci sequence and that’s using a mathematical formula where we start with

mathematical formula where we start with

mathematical formula where we start with 0 and 1 and each new number is a sum of

0 and 1 and each new number is a sum of

0 and 1 and each new number is a sum of the previous two so starting with 0 and

the previous two so starting with 0 and

the previous two so starting with 0 and 1 the next number is going to be 1 which

1 the next number is going to be 1 which

1 the next number is going to be 1 which is 1 plus 0 the next one will be 2 which

is 1 plus 0 the next one will be 2 which

is 1 plus 0 the next one will be 2 which is 1 plus 1 then 3 which is 1 plus 2 5

is 1 plus 1 then 3 which is 1 plus 2 5

is 1 plus 1 then 3 which is 1 plus 2 5 which is 2 plus 3 8 3 plus 5 and

which is 2 plus 3 8 3 plus 5 and

which is 2 plus 3 8 3 plus 5 and continues well that makes the Fibonacci

continues well that makes the Fibonacci

continues well that makes the Fibonacci sequence so fascinating is that as our

sequence so fascinating is that as our

sequence so fascinating is that as our numbers increase the same ratio appears

numbers increase the same ratio appears

numbers increase the same ratio appears between adjacent numbers let’s look at

between adjacent numbers let’s look at

between adjacent numbers let’s look at the last three notice that the ratio

the last three notice that the ratio

the last three notice that the ratio between 233 and 377 is 0.618 and the

between 233 and 377 is 0.618 and the

between 233 and 377 is 0.618 and the ratio between 377 and 610 is also 0.618

ratio between 377 and 610 is also 0.618

ratio between 377 and 610 is also 0.618 now this ratio has begins given several

now this ratio has begins given several

now this ratio has begins given several names the golden ratio the golden

names the golden ratio the golden

names the golden ratio the golden section the golden mean and it’s math

section the golden mean and it’s math

section the golden mean and it’s math it’s fascinating mathematicians since

it’s fascinating mathematicians since

it’s fascinating mathematicians since Euclid it appears regularly in nature

Euclid it appears regularly in nature

Euclid it appears regularly in nature and the layout of the seeds of a

and the layout of the seeds of a

and the layout of the seeds of a sunflower and also in the ratio between

sunflower and also in the ratio between

sunflower and also in the ratio between the chambers of a nautilus shell and the

the chambers of a nautilus shell and the

the chambers of a nautilus shell and the attraction of the golden ratio is the

attraction of the golden ratio is the

attraction of the golden ratio is the belief that we as humans find it

belief that we as humans find it

belief that we as humans find it aesthetically pleasing architects have

aesthetically pleasing architects have

aesthetically pleasing architects have used it in their design most notably the

used it in their design most notably the

used it in their design most notably the caboose EA in the mid 20th century

caboose EA in the mid 20th century

caboose EA in the mid 20th century artists have used it in their paintings

artists have used it in their paintings

artists have used it in their paintings but composers have used it extensively

but composers have used it extensively

but composers have used it extensively Beyla Bartok cloud Debussy Michael

Beyla Bartok cloud Debussy Michael

Beyla Bartok cloud Debussy Michael Gandolfi William Duckworth just name a

Gandolfi William Duckworth just name a

Gandolfi William Duckworth just name a few and when an architect uses it they

few and when an architect uses it they

few and when an architect uses it they might use it to determine the size of

might use it to determine the size of

might use it to determine the size of windows in a building or the size of the

windows in a building or the size of the

windows in a building or the size of the balconies as shown here an artist may

balconies as shown here an artist may

balconies as shown here an artist may use it to place an object perfectly

use it to place an object perfectly

use it to place an object perfectly within a canvas but composers use it for

within a canvas but composers use it for

within a canvas but composers use it for time or how long a section of music will

time or how long a section of music will

time or how long a section of music will be in relation to the whole young

be in relation to the whole young

be in relation to the whole young composers are taught using Bayla

composers are taught using Bayla

composers are taught using Bayla Bartok’s

Bartok’s

Bartok’s music for Strings percussion and to last

music for Strings percussion and to last

music for Strings percussion and to last as a model that if they place the climax

as a model that if they place the climax

as a model that if they place the climax of their composition right at the golden

of their composition right at the golden

of their composition right at the golden ratio right at 61.8% of the way through

ratio right at 61.8% of the way through

ratio right at 61.8% of the way through the piece it’s guaranteed to be

the piece it’s guaranteed to be

the piece it’s guaranteed to be successful but I thought why stop there

successful but I thought why stop there

successful but I thought why stop there why not have it between all the sections

why not have it between all the sections

why not have it between all the sections of the piece between all the music

of the piece between all the music

of the piece between all the music musical phrases and between every note

musical phrases and between every note

musical phrases and between every note and I started visually with what we call

and I started visually with what we call

and I started visually with what we call Fibonacci tiling and to do this we start

Fibonacci tiling and to do this we start

Fibonacci tiling and to do this we start with the tile that is one by one it’s

with the tile that is one by one it’s

with the tile that is one by one it’s rather small here but it will get bigger

rather small here but it will get bigger

rather small here but it will get bigger then another one by one square then we

then another one by one square then we

then another one by one square then we do a two by two square a three by three

do a two by two square a three by three

do a two by two square a three by three square a five by five eight by eight

square a five by five eight by eight

square a five by five eight by eight thirty by thirteen and we can continue

thirty by thirteen and we can continue

thirty by thirteen and we can continue it now if we inscribe an arc in between

it now if we inscribe an arc in between

it now if we inscribe an arc in between each of these squares we gets what is

each of these squares we gets what is

each of these squares we gets what is known as the Fibonacci spiral which you

known as the Fibonacci spiral which you

known as the Fibonacci spiral which you can see closely resembles the shape of

can see closely resembles the shape of

can see closely resembles the shape of the nautilus shell and I thought what

the nautilus shell and I thought what

the nautilus shell and I thought what would it be like to write a piece of

would it be like to write a piece of

would it be like to write a piece of music where the experience of hearing it

music where the experience of hearing it

music where the experience of hearing it would be like traveling through the

would be like traveling through the

would be like traveling through the chambers of the nautilus shell hearing

chambers of the nautilus shell hearing

chambers of the nautilus shell hearing the same music again and again at

the same music again and again at

the same music again and again at smaller and smaller intervals but still

smaller and smaller intervals but still

smaller and smaller intervals but still maintaining that same relationship but

maintaining that same relationship but

maintaining that same relationship but music works linearly in time so we have

music works linearly in time so we have

music works linearly in time so we have to lay the squares out in a row and if

to lay the squares out in a row and if

to lay the squares out in a row and if you recall when we what we talked about

you recall when we what we talked about

you recall when we what we talked about with fractals where we created the

with fractals where we created the

with fractals where we created the sierpinski triangle using the same

sierpinski triangle using the same

sierpinski triangle using the same process again we can do this with the

process again we can do this with the

process again we can do this with the squares reducing each square to its sum

squares reducing each square to its sum

squares reducing each square to its sum so a 34 square would become a 13 and a

so a 34 square would become a 13 and a

so a 34 square would become a 13 and a 21 a 21 square become an 8 and a 13 and

21 a 21 square become an 8 and a 13 and

21 a 21 square become an 8 and a 13 and it would continue and then we continue

it would continue and then we continue

it would continue and then we continue this process again and again reducing

this process again and again reducing

this process again and again reducing each square to a smaller unit until

each square to a smaller unit until

each square to a smaller unit until we’re left with the smallest unit which

we’re left with the smallest unit which

we’re left with the smallest unit which is a single 1×1 square and the next step

is a single 1×1 square and the next step

is a single 1×1 square and the next step is to remove the scaffolding replace the

is to remove the scaffolding replace the

is to remove the scaffolding replace the squares with note heads add stems and

squares with note heads add stems and

squares with note heads add stems and beams add a musical staff and we have

beams add a musical staff and we have

beams add a musical staff and we have music now if we assign each one of these

music now if we assign each one of these

music now if we assign each one of these notes to a drum from high to low the

notes to a drum from high to low the

notes to a drum from high to low the result is going to sound like this

now when I got to this point I was both

now when I got to this point I was both excited and disappointed excited that

excited and disappointed excited that

excited and disappointed excited that I’d made this happen but disappointed in

I’d made this happen but disappointed in

I’d made this happen but disappointed in the way it sounded and I knew that I

the way it sounded and I knew that I

the way it sounded and I knew that I couldn’t make a performer do this for

couldn’t make a performer do this for

couldn’t make a performer do this for ten minutes or more and I definitely

ten minutes or more and I definitely

ten minutes or more and I definitely couldn’t make an audience member

couldn’t make an audience member

couldn’t make an audience member listened to more than ten minutes of

listened to more than ten minutes of

listened to more than ten minutes of this but if the similar approach were

this but if the similar approach were

this but if the similar approach were applied to other aspects of music what

applied to other aspects of music what

applied to other aspects of music what pictures are played

pictures are played

pictures are played what register they are how high or low

what register they are how high or low

what register they are how high or low those pictures are in orchestration what

those pictures are in orchestration what

those pictures are in orchestration what instruments are playing there’s always

instruments are playing there’s always

instruments are playing there’s always much more enjoyable and now before I

much more enjoyable and now before I

much more enjoyable and now before I play you a short segment of this piece I

play you a short segment of this piece I

play you a short segment of this piece I want to talk briefly about the form or

want to talk briefly about the form or

want to talk briefly about the form or how it’s constructed it starts by

how it’s constructed it starts by

how it’s constructed it starts by Counting sixteenth notes which are the

Counting sixteenth notes which are the

Counting sixteenth notes which are the smallest note value and it starts that X

smallest note value and it starts that X

smallest note value and it starts that X should actually be a sixteenth note but

should actually be a sixteenth note but

should actually be a sixteenth note but that’s okay and it starts at 610 and

that’s okay and it starts at 610 and

that’s okay and it starts at 610 and counts this way down to one then 277 all

counts this way down to one then 277 all

counts this way down to one then 277 all the way down to one 233 down to one

the way down to one 233 down to one

the way down to one 233 down to one until we’re left at one and then the

until we’re left at one and then the

until we’re left at one and then the process repeats again starting at 277

process repeats again starting at 277

process repeats again starting at 277 and working all the way down to one and

and working all the way down to one and

and working all the way down to one and then it for each new number after that

then it for each new number after that

then it for each new number after that until we’re left at the very end with

until we’re left at the very end with

until we’re left at the very end with just one note I what I’m going to do is

just one note I what I’m going to do is

just one note I what I’m going to do is play a short segment from 233 to where

play a short segment from 233 to where

play a short segment from 233 to where it resets at 377 this recording is by

it resets at 377 this recording is by

it resets at 377 this recording is by the Truman State University percussion

the Truman State University percussion

the Truman State University percussion ensemble directed by Michael bump the

ensemble directed by Michael bump the

ensemble directed by Michael bump the group that premiered the work and what

group that premiered the work and what

group that premiered the work and what you’re going to see as it plays is a

you’re going to see as it plays is a

you’re going to see as it plays is a video that will count down the numbers

video that will count down the numbers

video that will count down the numbers for you

it took me over a year to compose

it took me over a year to compose Liebherr bossy and it was a laborious

Liebherr bossy and it was a laborious

Liebherr bossy and it was a laborious process it also completely fulfilled any

process it also completely fulfilled any

process it also completely fulfilled any desire I had to write such formalized

desire I had to write such formalized

desire I had to write such formalized music and I will never do it again

and as a colleague of mine mentioned

and as a colleague of mine mentioned once in many ways Libra bossy is more of

once in many ways Libra bossy is more of

once in many ways Libra bossy is more of an experiment than actual music and like

an experiment than actual music and like

an experiment than actual music and like many experiments I went into it with

many experiments I went into it with

many experiments I went into it with certain expectations but left it with

certain expectations but left it with

certain expectations but left it with completely unexpected results composing

completely unexpected results composing

completely unexpected results composing is a lot like learning to play a new

is a lot like learning to play a new

is a lot like learning to play a new technique on a musical instrument

technique on a musical instrument

technique on a musical instrument the musician spends hours days weeks

the musician spends hours days weeks

the musician spends hours days weeks months carefully practicing the

months carefully practicing the

months carefully practicing the technique again and again until it

technique again and again until it

technique again and again until it becomes intuitive and similarly the

becomes intuitive and similarly the

becomes intuitive and similarly the methodical composing Libra bossy where

methodical composing Libra bossy where

methodical composing Libra bossy where the focus wasn’t on the notes but how

the focus wasn’t on the notes but how

the focus wasn’t on the notes but how and especially when they were presented

and especially when they were presented

and especially when they were presented left me with a more under into ative

left me with a more under into ative

left me with a more under into ative understanding of how time works in music

understanding of how time works in music

understanding of how time works in music and how I as a composer can use time for

and how I as a composer can use time for

and how I as a composer can use time for dramatic effects so this is drastically

dramatic effects so this is drastically

dramatic effects so this is drastically changed all of my work since then both

changed all of my work since then both

changed all of my work since then both in my own compositions but most

in my own compositions but most

in my own compositions but most importantly is my work as an educator

importantly is my work as an educator

importantly is my work as an educator training young musical composers thank

training young musical composers thank

training young musical composers thank you so much

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