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Random Partials For Double Bass and Piano. HĂĽkon Thelin, 2020

This work explores the sonic differences between harmonic partials (just intonation) on the double bass and the well-tempered piano. Any number of partials, on any number of strings on the double bass can be used. The partials are played together with the corresponding �unison� tones on the piano, one at a time, as a sustained, slowly fading sound. Any tuning of the bass can be used, as long as the fundamental (1.partial) of each string is tuned in perfect unison with the piano. The players create a randomly selected series of partials until all the partials are used, at which point the piece ends. Attachments: 1. Harmonic chart, 1-16th harmonic on the double bass 2. Example of score


Random Partials 1-16th harmonic series +4 -31 +2

Cb.

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,U ~-

,U & ~ -

w? 44 U

Tuning: G-D-A-E

U ~-

U ,~

~,U

+2

U ~-

U ~-

-14

1. string

,

,

,

,

I/8 I/3

I/7

I/6

I/5

I/4

I/9

I/1 I/2

4 &4

U w

U w

U w

U w

U w

U w

U w

Pno.

? 44 U w

U w ∑

{

-31

-12

U ~-

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+41 -49 +2

U ~-

-14

bU ~-

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10

,

,

,

2. string

,

& I/12 I/10

I/13

I/14

I/15

,

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? I/16

I/11 II/1 II/2

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? ∑

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+2 -49 -14 +4

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+2

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19

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,

II/7

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, II/12

II/8 II/6

nU ~-

II/9

II/10

II/11

II/5 II/4 II/3

U & ∑

U w

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w ? U ∑

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II/15

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II/16 III/4

III/5

III/2 III/1 III/3

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& U

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w

-49

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& III/12 III/7

III/8

III/9

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III/10

III/11

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III/13

III/14

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III/15

III/6

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{ U ~-

4. string

-31 +2 48

?

& III/16

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&

~-

+2

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IV/6

IV/7

U ∑ U w

U w

IV/5

IV/2 IV/4 IV/1 IV/3

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U ∑

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& U ? ∑

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3 +2

+41

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& IV/9

IV/10

IV/8

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IV/12

IV/13

IV/14

IV/15

IV/16

U nw

U w

U w

#U w

U w

IV/11

U #w

U #w

U bw

? ∑

{


Random Partials (1-12th harmonic) Version I.1 Håkon Thelin, 2020

q=54 +2 -49 +2

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4 &4

Cb. Tuning: G-D-A-E

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+2

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, II/12

II/11 I/6 IV/6 IV/5

II/4

III/1

Similar dynamics throughout

bU w

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U ∑

U w

U ∑ U w

Pno.

{

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U w U w

∑ U

w

mf

-49

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+2

+2

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+2

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I/12

I/12

I/11

II/10

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III/11

I/4 IV/11 III/2

I/2

II/3

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III/6

IV/5

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III/1

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∑ U w

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IV/12 IV/7 II/1

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II/6

II/11

I/2

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U & w

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&

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∑ U w

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&

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III/2

∑ U w


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-49 +2

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, II/12

III/11 IV/12 II/2

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III/10

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II/4 II/3 III/3

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&

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& III/12 I/7

II/11

I/12

I/8

I/1 IV/8 II/1

II/1

U w ∑ ? U w +2 U ~-

∑ ∑

{

U w

U w bU w

U w

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&

U w

∑ U w

+4

+4

U ,~

U ,~

~IV/3 U ∑ U w -14

, +2 U

100

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& II/12

I/2

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~, #U

,

,

I/8 II/9

II/9

III/10

III/8 IV/8

III/4

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U ∑

&

{

,

U w

U w

U w

U w

#U w

U w ∑


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+2

+2 -14

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4 110

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,

,U ? w

?

&

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& I/7

I/6

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+2

II/9

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I/6

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I/5

I/4 I/1 IV/12 III/2 II/3

U & w

U w

U w

U w

U w

? ∑

{

U ∑

U w

U w

U w

U w

U w

+2 +2

U ,~

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U ~-

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?

& ~IV/3 U ∑

II/6

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? ∑

{

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, +2 U ~-

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,

III/12 IV/7

III/5

IV/8 II/4

III/1

II/3

IV/1

U

U w

U #w

U w

U w

U w

U ∑ U w

U ∑

w -49

w -14

bU ~-

-49 +4

U ~-

+4

U ,b ~

130

U ~ ,

, +2 U ~-

,U

&

~,U

U ~-

-14

, U #~-

,U ~-

,

,

,

?

&

~I/11

I/8

III/11

II/9

I/10 III/9 III/5

II/3

IV/2

II/2

bU w

U w bU w

U ∑

U w

U w

& ? ∑

U w

U #w

U w

U w

U w

{

∑ +2

+2

U ~-

-31 +2

U ~-31

U ,~

140

U ~ &

+2 -31

U ~,U ~-

,

,

~,U

, +2 U

I/7

I/6 IV/12

U & w ? ∑

{

III/4

U w U ∑

U w

U w

U w

U w ∑

,

,

&

II/12 IV/7

U , ~-

,U ? w

~IV/3 U ∑ U w

I/12 II/7 I/1

U w ∑ U w

U w ∑


-49 -49

-49

bU ~-

+4

bU ~,

150 -14

U ,~

+2

,U ~-

U & #~-

+2

bU ~-

5

,

~,U

,? U ~

,U ~-

,U

,

,

? &

II/11

&

II/11

II/9

w-

I/11 I/4 IV/12

IV/5

IV/2 III/3

bU w U & ∑ w ? #U

U ∑

U w

U w ∑

bU w bU w U w

U w

{

IV/1

U w

∑ U

∑ w -14 #U ~,

-49 +2

U ~-

+2

-14

U ~-

U ~-

+4

U ,~

160

bU ~-31 -14 +2

, +2 U ~-

&

,

I/12

,U n~-

,

,

,U #~-

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,

II/12 II/9

I/11

I/10

II/10 I/3 IV/7 IV/5

II/3

U w U w

U w

U w U ∑

bU w U nw

&

U w

U w

#U w

? ∑

#U w

U ∑

{ +2 -31

-31

,U ~-

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+4 -14

U ,~

-14 170

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, +2 U ~-

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&

, U #~-

,

I/6 III/8

III/7

IV/9

III/7 III/5

II/5 II/3

U & w

U #w

U #w

U ∑

U w

U w

U #w

U w

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{ +2

U ~-14 178

U ~-

, +2 U ~-

&

,U ~-

,

,U ~-

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I/12 I/5 III/8 IV/8

IV/8 IV/4

III/3

U w U & w

U ∑

? ∑

{

U w

U w ∑

U w ∑

U w ∑

U ∑ ∑

U w


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