Symmetry Etudes - Andrew McIntosh

Andrew Nathaniel McIntosh
Symmetry Etudes
(I-VIII)
a book of music for two Bb clarinets and violin
(2009-2012)
PLAINSOUND MUSIC EDITION
For Jim Sullivan and Brian Walsh
In addition, Etude VII is dedicated especially to Alice Walsh
While this is indeed a single work, it is also a collection of 8 individual pieces, any
of which may be performed alone or grouped together in any order. If all 8 pieces
are performed, it would be nice to have them in consecutive order or dispersed
throughout a program. The 8 pieces were originally conceived at the generous
invitation of Jim and Brian as etudes for training the ear to hear different types of
just intervals, hence the strict harmonic constraints in all but the last piece.
However, as the project advanced it turned into something much more inventive
and elaborate. The original structure of the piece remains in tact, though, with
each etude increasing in harmonic complexity and dealing with symmetry on
some level. The total duration is around 45 to 50 minutes.
The various pitches should be obtainable on most clarinets through the use of
alternate fingerings and lipping, (and quite possibly the teeth in Etude I). Jim and
Brian found that even when playing on the same make of clarinet they had
radically different fingerings, however, so I have made no attempt to standardize
fingerings here.
For any questions or to obtain parts, please contact the composer at Plainsound
Music Edition: [email protected].
Helmholtz-Ellis JI Pitch Notation
designed by Marc Sabat and Wolfgang von Schweinitz
e n v
notate the series of untempered (Pythagorean) perfect
fifths (3/2) ≈ ± 702.0 cents
m
o
notate an alteration of the Pythagorean accidentals by
one syntonic comma (81/80) ≈ ± 21.5 cents
l
p
notate an alteration of the Pythagorean accidentals by
two syntonic commas (81/80) · (81/80) ≈ ± 43.0 cents
k
q
notate an alteration of the Pythagorean accidentals by
<
>
notate an alteration of the Pythagorean accidentals by
one septimal comma (64/63) ≈ ± 27.3 cents
,
.
notate an alteration of the Pythagorean accidentals by
two septimal commas (64/63) · (64/63) ≈ ± 54.5 cents
4
5
notate an alteration of the Pythagorean accidentals by
one undecimal quartertone (33/32) ≈ ± 53.3 cents
0
9
notate an alteration of the Pythagorean accidentals by
one tridecimal thirdtone (27/26) ≈ ± 65.3 cents
:f
;u
notate an alteration of the 5-limit accidental by
one 17-limit schisma (256/255) ≈ ± 6.8 cents
/n
\n
notate an alteration of the Pythagorean accidentals by
one 19-limit schisma (513/512) ≈ ± 3.4 cents
3
three syntonic commas (81/80) ≈ ± 64.5 cents
cent values in the score are always deviations from equal temperament, unless
connected by dotted lines, in which case it is an interval between two pitches
for Jim Sullivan and Brian Walsh
Etude I
q = 60
Violin
Clarinet in Bb
5:4
Clarinet in Bb
5
5:4
Cl. 9
Vln.
9:8
Cl. Cl.
5:4
Vln.
Cl. 9:8 9:8
5:4
mf
5:4
11:8
9:8
11:8
11:8
mf
Copyright © 2012 A. N. McIntosh
9:8
11:8
5:4
mp
5:4 5:4
11:8
5:4
11:8
5:4 Cl. mf
11:8
11:8
9:8
9:8
5:4
mp
13
5:4
9:8
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mp
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9:8
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9:8
11:8
11:8
5:4
p
Andrew Nathaniel McIntosh
11:8
9:8
5:4
5:4
9:8
11:8
9:8
5:4 11:8
2
17
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Cl. Cl.
21
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25
5:4
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28
5:4
*
ff
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*
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9:8
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9:8
f
5:4
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5:4
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f
9:8
9:8
11:8
5:4
9:8
11:8
5:4
9:8
9:8
5:4
11:8
9:8
5:4
11:8
ff * Try to match pitch as best as possible, but microtonal deviations
are acceptable (or even desirable). Teeth may be necessary.
Cl. Cl. Vln.
11:8
Cl. Vln.
f
Cl. Cl. 9:8
9:8
5:4 11:8
9:8
5:4
11:8
9:8
5:4
11:8
for Jim Sullivan and Brian Walsh
Violin
Clarinet in Bb
Etude II
q = 110
Clarinet in Bb
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3
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Andrew Nathaniel McIntosh
3
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Copyright © 2009 Andrew McIntosh
3
3
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for Jim Sullivan and Brian Walsh
Etude III
q = 55
Violin
Clarinet in Bb
Clarinet in Bb
Andrew Nathaniel McIntosh
mf
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3
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3
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v
3
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3
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3
3
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cresc.
3
v 3
t
mp
3
u
v
3
for Jim Sullivan and Brian Walsh
Etude IV
< < Andrew Nathaniel McIntosh
< < con rubato e = 48
Violin
Clarinet in Bb
Clarinet in Bb
mp
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< v
v
4
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<
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Copyright © 2010 A. N. McIntosh
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<
v
v
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11
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for Jim Sullivan and Brian Walsh
Violin
Clarinet in Bb
Clarinet in Bb
Cl.
n
]
mp (murmuring)
5/2
[ ]
n
4
n
2/1
(u
4
Vln. [n
(4 )
Cl. 3
n
]
5/4
4
3/2
[
4o
[
Vln.
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n
11/9
4
[
n
9/8
5
n
]
]
4
16/15
u
u
mf
4
4
n
(4 )
Cl. Cl.
n
n
u
[
4
Vln.
mf
11/9
)
(u )
Cl. Cl.
4
Andrew Nathaniel McIntosh
gently, but quickly and irregularly, oscillate between the pitches in brackets, inserting
occaisional short rests and sometimes repeating pitches - tempo between 60 and 240 bpm
2
Vln.
[
11/6
Etude V
u
n
4
8/11/12
]
4/3
]
11/5
[
4
11/6
n
4
3/2
Copyright © 2012 A. N. McIntosh
]
4
[
2
6
Vln.
Cl. Cl.
4/3
)
4
n
(4
4
11/6
5
]
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7
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f
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3/2
]
n
n
4
n
n 4 4
4
5/4
]
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]
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f
dur. 3-4'
for Jim Sullivan and Brian Walsh
Violin
>
> +23.3
+25.3
>
. +54.5
3/2
> +25.3 Clarinet in Bb
10
n
n
n Cl. Vln.
Cl.
n
n n
+/- 0
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n -4.0
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8/3
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n +27.3
n+/- 0 > -4.0
n -2.0
n
+54.5
+27.3
. > .
<
Andrew Nathaniel McIntosh
>
>
+54.5
+23.3
7/4
Clarinet in Bb
Etude VI
e = 70
-31.3
,
A = + 8.2
<
<
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-27.3
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<
+14.2
v +16.2
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40
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> (G <,v = G .)
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+36.5
. -63.5
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.
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49
Vln.
Cl. Cl.
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>
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>
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68
Vln.
n
<
n
A = - 5.8
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1/1
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Cl. Cl. 77
>
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>
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n
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n -22.0
>
n n Vln. n
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<
n n Cl. n
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n
Cl. 58
> -22.0
n -20.0
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n
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n
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+27.4
+27.4
+0.8
v v
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v -1.8
v >
+27.4
n
-3.8
n
-1.8
for Alice Lille Walsh
Etude VII
Violin
Clarinet in Bb
Clarinet in Bb
10
Vln.
q = 150
n
p
+/- 0 c
19
Vln.
v
u
+4c
-4 c Cl. n
Cl.
5v
- 51 c
27
Cl.
Vln.
Cl.
o
v
-59 c
'v
+2c
n
9
+ 59 c
>v
+ 31 c
-12 c
u
n
n
+/- 0 c
n
+ 12 c
o
-31 c
<
3
5v
-2c
n
9
+/- 0 c
- 33 c
3
<
v
+/- 0 c
n n
>v
o
3
3
+ 16 c
- 49 c
o
5v
n
'v
u
<
3
3
- 16 c
+ 49 c
4
u v
+2c
v
+2c
v 35
p
u 4
3
-2c
n Cl. Cl.
+ 51 c
-2c
Cl.
Vln.
4
- 14 c
+14 c
o
Andrew Nathaniel McIntosh
n
3
+ 33 c
>v n
n
<
3
v
3
>v Cl. n
3
3
u 3
4
Copyright © 2011 A. N. McIntosh
n
3
v 2
44
Vln.
Cl.
Cl.
n
o
5v
Vln. <f
Cl. 52
Cl.
59
5
- 17 c
5
Vln. 9m
Cl. Cl. 67
+ 45 c
v 5
Vln. 'o
Cl. u
3
Cl. n
74
Vln.
Cl.
n
+2c
u
5
n 3
Cl. >v o
5
v
>u
5
+ 17 c
<f 4
n
5
3
v o
n
v
v
>u
5v
5
\u
:g 'v 3
u 5
/f 5
5
3
4 5
- 45 c
'o
n
3
5
u
- 16 c
3
>v 5
o <
5
5
o n 4f
v
n
3
<
n
5
n
u
;t
n
9
3
n
o
5
- 11 c
5v
3
5
n
3
o
5
+/- 05c - 65 c n
5u
3
4 5
5
3
5
+ 16 c
<
+ 11 c
/f 5
5
+ 65 c
n
- 14 c
- 19 c
- 18 c
n
u
;t
m
-2c
3
u 5
9m o + 19 c +18 c
:g
o
5
+ 14 c
3
3
3
o
4f
n
p 5
+/- 0 c
u
5
m
>v
3
5v
5 n
5u
n n
\u
o
5
3
Vln. o
n
4f
Cl. v
n
Cl. 81
5
5
5
Vln. /f
Cl. u
88
Cl.
94
5
;t
Cl. 9
Cl. Vln.
Vln. n
Cl. 101
Cl.
107
5
n
5
5u
u
5
o
:g o >u
n
u
5
5
5
o
;t
5
<f 5
5
5
n
5u
5
u
m
\u
5
o
n
u
n
'o
<
5
'v
5
:g 5
5
>u
5v
9m
5
5 /f
5
5
5 o
n
v
5
4f
n
n
5
m
>v
\u
o
5
n
5
'o
u
Vln. 9m
Cl. Cl.
o
5
n
<f
4
5
5
n
5
for Jim Sullivan and Brian Walsh
Etude VIII
Andrew Nathaniel McIntosh
"hidden symmetry"
Violin
Clarinet in Bb
Clarinet in Bb
<
pppp
<
pppp
2
Vln.
Cl.
<
<
ppppp
Cl.
(< )
<
ppppp
3
Vln.
Cl.
Cl.
8/7
<
(< )
ppppp
n
pppppp
7/6
49/48
(< )
>v
4
Vln.
Cl.
Cl.
(< )
(>v )
n
pppp
<
<
pppp
Copyright © 2011 A. N. McIntosh
>v
pppp
2
Vln.
)
n
(<
Cl. (< )
Cl.
n
5
pppp
pppp
<
(>v )
6
Vln.
Cl.
Cl.
(( ))
(< )
>v
ppp
>v
ppp
7
Vln.
Cl.
Cl.
(( ))
(>v )
<
<
(>v )
<
8
Vln.
(( ))
Cl. (< )
Cl.
5/3
7/3
<
u
pppp
(
m
Vln. ( )
(u )
Cl. 9
Cl.
( )
Vln.
( < )
n
)
(
III
<f
(< )
Cl. Cl.
3
pp
n
pp
pp
pp
p
pp
11
Vln.
Cl.
Cl.
(<f )
<
p
(<f )
(< )
Cl. Cl.
(<4
11/6
<4
p
12
Vln.
)
13/6
12c
<
10
pp )
<9
4
13
Vln.
(<f)
mn
ff
(<9 )
Cl. Cl.
,9e
7/6
27c
)
I
( )
II
nu
(mn )
Cl. p
o
5/4
)
Vln.
Vln.
p
3/2
)
n
p
15 ( u )
(
)
n
(
16 ( u )
(
)
(o )
n
)
()
Cl. Cl.
(v
Cl. Cl.
ff
ff
(<v
Cl.
<v
v
(u
14
Vln.
o
(
n
)
mp
(
mp )
11/4
5v
n
17
Vln.
)
(
9/4
Cl.
5v
18
()
(5u )
Cl. Vln.
Cl.
5u
mp
mp
mp
mp
I
n
7/2
>v
(
(>v
1/1
5/3
)
(5v
>u
>v
)
)
(
(>v
>v
I
n
(>u )
Cl. Cl.
n
)
)
20
Vln.
5/2
III ( )
5
5v
Cl. Cl.
( )
II
n
mp
19
Vln.
nII ( )
()
Cl. )
(>v
>v
6
mf
21
Vln.
Cl.
(>v )
2/1
>v
Cl. mf
(>v )
5/3
(>u(>v ))
Cl. Cl.
mf
In
Cl.
Cl.
2/1
>v
)
(>v )
(
4/1
v
mf
)
(>v
)
(>v )
24
Vln.
( )
)
Cl. Cl.
>4v
(>u
23
Vln.
11/6
mf
>u
22
Vln.
>u
(
( v )
11/8
7/4
<
mf
4
mf
7
25
Vln.
Cl.
Cl.
(4 )
5/2
Cl.
Cl.
4
Cl.
Cl.
mf
mf
mf
ppppp
n
4u
ppppp
n
5/2
(4u )
2/1
4
( 4 )
mf
4
ppppp
27
Vln.
4u
2/1
26 n
Vln.
4/3
4u
mf
mf
5/4
4u
mf
49c
7/4
>4v
28
Vln.
( 4 )
Cl. (4u )
Cl.
(>4v )
mf
11/4
7/4
v
mf
<v
mf
8
29
Vln.
13/8
Cl. 4/3
n
9/8
4/3
21/16
)
(v
Cl.
mf
mf
0
n
27c
(<v )
v
8/5
u
mf
30
Vln.
Cl.
Cl.
((0n ))
7/5
<
<
)
(u
31
Vln.
Cl.
7/4
n
(> )
f
f
Cl. Cl.
>
2/1
(< )
32
Vln.
7/6
0
n
Cl. mf
>n
n
<
f
f
repeat ad lib., 3-7x
(ending with vln. cresc.)
dur. 8-12'