Error: accessing invalid array location -7 Maximum is 11

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Erica Bisesi

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Jul 14, 2021, 9:17:32 AM7/14/21
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Hallo everybody,

I downloaded and installed humdrum on a mac laptop with Big Sur as operative system.
I followed all instructions provided on the humdrum webpage ( https://github.com/humdrum-tools/humdrum-tools ).

Although all programs (keycor, tntype, ...) are apparently working, I encountered a persistent error when applying them to some kern scores.

For instance, by applying tntype to this score :

timebase -t 8 prelude8-07.krn | tntype -f | rid -GLI > NomeFile1.txt
timebase -t 8 prelude8-07.krn | tntype -n | rid -GLI > NomeFile2.txt

the output was :
Error: accessing invalid array location -7 Maximum is 11

for both -f and -n options (it works well without the option).

Note that the same scripts were previously working well on my old mac (macOS Sierra, humdrum installed in 2013) and same kern file.

I did this try : I replaced the file tntype.cpp with the old one (taken from the old mac), and recompiled humextra... The issue persisted.

*******

Important remark :
Apparently, the problem seems not to be specifically related to tntype.
I got a similar error message by using xml2hum, starting with a very simple xml file (few bars, nothing special inside).

How to you suggest to fix this?

Many thanks in advance,
Erica

Craig

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Jul 14, 2021, 11:52:20 AM7/14/21
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Hello Erica,

I fixed the problem in tntype that was causing the problem (hopefully).  To update humdrum-tools, run these commands:

cd $(which tntype | sed "s/humextra\/bin\/tntype//") && make update && make

Then the -f and -n options should work:

humcat h://chopin/preludes/prelude28-07.krn | timebase -t 16 | tntype -f | rid -GLI

Note that using a rhythmic value other than the minimal time unit may cause complications in the output of timebase.  For this particular piece, timebase -t 8 should do what you want, but it may not work in general with other preludes.   Here is how to calculate the minimal time unit of a score:

minrhy prelude28-07.krn
16

An alternate method that may be more robust would be:

$ sample -r 8 prelude28-07.krn | tntype -f | ridx -H | sortcount
27 {047}
20 {0368}
8 {0357}
6 {03}
6 {036}
5 {04}
4 {0}
4 {02469}
4 {037}
4 {06}
2 {016}
2 {0358}
2 {013}
2 {}
2 {025}

The "sample" tool takes a snapshot of the sonorities at every eighth note position (with -r 8), which is then analyzed for pitch classes.  The numbers to the left of the pitch class sets is the count for that set in units of eighth notes.  For example 27 means 27 eighth notes.  If there is a 16th-note pickup in such a piece, there will be a problem with data extraction being offset probably unintentionally by a 16th note.

Here is an example of describing durations by percentages, where the most common chord prototype 047 occurs 27.55% of the time at the eighth-note level:

$ sample -r 8 prelude28-07.krn | tntype -f | ridx -H | sortcount -p
27.55 {047}
20.41 {0368}
8.16 {0357}
6.12 {036}
6.12 {03}
5.1b {04}
4.08 {02469}
4.08 {06}
4.08 {037}
4.08 {0}
2.04 {}
2.04 {016}
2.04 {025}
2.04 {0358}
2.04 {013}

Sampling at the minrhy unit shows the true durations of each chord prototype as a percentage (this is including the 16th note offbeat sonorities, which you probably don't want):

$ sample -r $(minrhy prelude28-07.krn)  prelude28-07.krn | tntype -f | ridx -H | sortcount -p
29.08 {047}
20.41 {0368}
8.16 {0357}
6.12 {03}
5.61 {04}
4.59 {036}
4.08 {02469}
4.08 {0}
4.08 {06}
3.57 {037}
2.04 {0358}
2.04 {}
1.53 {025}
1.53 {013}
1.53 {016}
0.51 {035}
0.51 {02}
0.51 {026}

==============

Regarding the source of the problem, it seems to be that the behavior of the Array class has changed (but I am not certain).  The code that I fixed for tntype was an array that was probably supposed to automatically increase in size, but it was not automatically expanding.    If so, then anywhere when automatic expansion of an Array will be causing problems (I don't use that feature often, and I may have removed it so that the Array class would be more similar to the built-in C++ vector class).  The problem was not directly in tntype.cpp, but in a function within Convert.cpp.

This no-automatic-expansion behavior may be the source of the problem in other programs such as hum2xml.   A good procedure would be to report such errors to the humextra repository:


You could post a test file that fails to convert with hum2xml there, for example.  I made a simple little test file and it worked as expected.  Hum2xml is quite old and should be rewritten based on modern Humdrum and MusicXML capabilities, so there will be expected problems with more complex conversion using that tool.

Otherwise, for converting from Humdrum to MusicXML the current state-of-the-art conversion can be done via music21, installing this Humdrum converter:
This method would be useful for batch conversions (and I can explain the installation procedures in more detail if needed).

This conversion path is also available in VHV from the File->Save as MusicXML menu option (suitable for non-batch conversions).

Note that the output of timebase will not be notatable unless the minimum time unit is used (so timebase -t 8 will cause prelude28-07.krn to not convert to MusicXML no matter which converter you are using).


-=+Craig

Craig Sapp

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Jul 14, 2021, 4:43:56 PM7/14/21
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Hello Again Erica,

> I got a similar error message by using xml2hum, starting with a very simple xml file (few bars, nothing special inside).

I was thinking about the other conversion direction in the previous email.  For xml2hum, I made a simple example and it worked, but then when I remove the time signature before converting, the converter crashed since it was always expecting a time signature when doing pickup-measure analysis.  I fixed that problem just now, but that is unlikely to be related to your problem. 

In any case ,the xml2hum converter is also old; however, there is an updated program for converting from MusicXML to Humdrum, which is part of the humlib codebase:
This codebase is used for Humdrum processing in VHV/verovio and will be eventually merged with the Humdrum Extras parser/code.   To download and compile humlib command-line tools:

cd humlib
make
make install

The conversion program is called musicxml2hum.   If you have compressed musicxml, then you will have to uncompress first by renaming file.mxl to file.zip, and then unzipping the file first.  Then conversion is similar to xml2hum:
      musicxml2hum file.xml > file.krn

To update to the latest version of the humlib code at a future date:

cd humlib
git pull
make 
make install

The programs will be stored in /usr/local/bin (which is different from the Humdrum Toolkit and Humdrum Extras).  This avoids the problems of setting the command path correctly since most unix shells include that directory by default in the path.

The musicxml2hum program can also be run via the VHV webpage.  If you drag and drop a MusicXML file into VHV, it will show MusicXML in the text editor, and its  graphical rendering on the right:

ddd.png

Choose the menu option File->Convert to Humdrum, and the MusicXML will be converted into Humdrum data with the same code as the command-line tool musicxml2hum:

Screen Shot 2021-07-14 at 1.21.17 PM.png

-=+Craig






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Erica Bisesi

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Jul 15, 2021, 4:26:14 AM7/15/21
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Dear Craig,

thanks for your reply and instructions, very clear and interesting as usual.

The first part of the issue is fixed. Now tntype is doing its job properly.

Please note that I got an error message when giving the commands for the first time. The reason seems that the first instruction did not point to the proper folder at the first attempt.

erica@MacBook-Pro-di-Erica humextra % sudo cd $(which tntype | sed "s/humextra\/bin\/tntype//")                      
Here is the output:

erica@MacBook-Pro-di-Erica humextra % sudo cd $(which tntype | sed "s/humextra\/bin\/tntype//")                      

erica@MacBook-Pro-di-Erica humextra % sudo make update

/Applications/Xcode.app/Contents/Developer/usr/bin/make -f Makefile.library library
Creating humextra library file for OSX (Intel)...
rm -f lib/libhumextra.a
ar r lib/libhumextra.a obj/*.o
ar: creating archive lib/libhumextra.a
# ranlib lib/libhumextra.a
touch src-programs/*.cpp
touch: src-programs/*.cpp: No such file or directory
make: *** [programs-update] Error 1

erica@MacBook-Pro-di-Erica / % cd $(which tntype | sed "s/humextra\/bin\/tntype//")
erica@MacBook-Pro-di-Erica humdrum-tools % sudo make update

Then OK

Erica Bisesi

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Jul 15, 2021, 4:57:37 AM7/15/21
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Hallo again Craig,

1) xml2hum : I attach the xml file that didn't work - as you requested. I also attach the musescore file from which I started (created with version 3.6.2).
Oops! Idiot question: I don't see any option to append files. How can I send them to you?
2) It's a file with only 1 voice, as you can see. Here I have another big trouble (since years..., and nothing to do to the current issues)  I will open another conversation in the next hours.
3) musicxml2hum : it works! I run again all the tntype set of instructions on the newly created kern score, and OK.

Thanks a lot, and see you soon.

Erica

Erica Bisesi

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Jul 15, 2021, 4:59:44 AM7/15/21
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XML FILE:

<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE score-partwise PUBLIC "-//Recordare//DTD MusicXML 3.1 Partwise//EN" "http://www.musicxml.org/dtds/partwise.dtd">
<score-partwise version="3.1">
  <identification>
    <encoding>
      <software>MuseScore 3.6.2</software>
      <encoding-date>2021-07-15</encoding-date>
      <supports element="accidental" type="yes"/>
      <supports element="beam" type="yes"/>
      <supports element="print" attribute="new-page" type="yes" value="yes"/>
      <supports element="print" attribute="new-system" type="yes" value="yes"/>
      <supports element="stem" type="yes"/>
      </encoding>
    </identification>
  <defaults>
    <scaling>
      <millimeters>7.056</millimeters>
      <tenths>40</tenths>
      </scaling>
    <page-layout>
      <page-height>1683.25</page-height>
      <page-width>1190.8</page-width>
      <page-margins type="even">
        <left-margin>56.6894</left-margin>
        <right-margin>56.6894</right-margin>
        <top-margin>56.6894</top-margin>
        <bottom-margin>113.379</bottom-margin>
        </page-margins>
      <page-margins type="odd">
        <left-margin>56.6894</left-margin>
        <right-margin>56.6894</right-margin>
        <top-margin>56.6894</top-margin>
        <bottom-margin>113.379</bottom-margin>
        </page-margins>
      </page-layout>
    <word-font font-family="FreeSerif" font-size="10"/>
    <lyric-font font-family="FreeSerif" font-size="11"/>
    </defaults>
  <part-list>
    <score-part id="P1">
      <part-name print-object="no">Piano</part-name>
      <score-instrument id="P1-I1">
        <instrument-name>Piano</instrument-name>
        </score-instrument>
      <midi-device id="P1-I1" port="1"></midi-device>
      <midi-instrument id="P1-I1">
        <midi-channel>1</midi-channel>
        <midi-program>1</midi-program>
        <volume>78.7402</volume>
        <pan>0</pan>
        </midi-instrument>
      </score-part>
    </part-list>
  <part id="P1">
    <measure number="0" implicit="yes" width="137.28">
      <print>
        <system-layout>
          <system-margins>
            <left-margin>14.80</left-margin>
            <right-margin>0.00</right-margin>
            </system-margins>
          <top-system-distance>70.00</top-system-distance>
          </system-layout>
        <staff-layout number="2">
          <staff-distance>65.00</staff-distance>
          </staff-layout>
        </print>
      <attributes>
        <divisions>4</divisions>
        <key>
          <fifths>1</fifths>
          </key>
        <time>
          <beats>6</beats>
          <beat-type>8</beat-type>
          </time>
        <staves>2</staves>
        <clef number="1">
          <sign>G</sign>
          <line>2</line>
          </clef>
        <clef number="2">
          <sign>F</sign>
          <line>4</line>
          </clef>
        </attributes>
      <note default-x="98.04" default-y="-45.00">
        <pitch>
          <step>D</step>
          <octave>4</octave>
          </pitch>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>1</staff>
        </note>
      <backup>
        <duration>2</duration>
        </backup>
      <note>
        <rest/>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <staff>2</staff>
        </note>
      </measure>
    <measure number="1" width="233.49">
      <note>
        <rest/>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <staff>1</staff>
        </note>
      <note default-x="31.04" default-y="-55.00">
        <pitch>
          <step>B</step>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">begin</beam>
        <beam number="2">begin</beam>
        </note>
      <note default-x="51.54" default-y="-45.00">
        <pitch>
          <step>D</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">continue</beam>
        </note>
      <note default-x="70.58" default-y="-30.00">
        <pitch>
          <step>G</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">end</beam>
        </note>
      <note default-x="89.63" default-y="-20.00">
        <pitch>
          <step>B</step>
          <octave>4</octave>
          </pitch>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">end</beam>
        </note>
      <note>
        <rest/>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <staff>1</staff>
        </note>
      <note default-x="139.14" default-y="-60.00">
        <pitch>
          <step>A</step>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">begin</beam>
        <beam number="2">begin</beam>
        </note>
      <note default-x="163.14" default-y="-50.00">
        <pitch>
          <step>C</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">continue</beam>
        </note>
      <note default-x="182.18" default-y="-35.00">
        <pitch>
          <step>F</step>
          <alter>1</alter>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">end</beam>
        </note>
      <note default-x="201.22" default-y="-25.00">
        <pitch>
          <step>A</step>
          <octave>4</octave>
          </pitch>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">end</beam>
        </note>
      <backup>
        <duration>12</duration>
        </backup>
      <note default-x="12.00" default-y="-110.00">
        <pitch>
          <step>G</step>
          <octave>3</octave>
          </pitch>
        <duration>4</duration>
        <voice>5</voice>
        <type>quarter</type>
        <stem>down</stem>
        <staff>2</staff>
        </note>
      <note>
        <rest/>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <staff>2</staff>
        </note>
      <note default-x="120.10" default-y="-125.00">
        <pitch>
          <step>D</step>
          <octave>3</octave>
          </pitch>
        <duration>4</duration>
        <voice>5</voice>
        <type>quarter</type>
        <stem>down</stem>
        <staff>2</staff>
        </note>
      <note>
        <rest/>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <staff>2</staff>
        </note>
      </measure>
    <measure number="2" width="241.70">
      <note default-x="15.50" default-y="-55.00">
        <pitch>
          <step>B</step>
          <octave>3</octave>
          </pitch>
        <duration>4</duration>
        <voice>1</voice>
        <type>quarter</type>
        <stem>up</stem>
        <staff>1</staff>
        </note>
      <note default-x="15.50" default-y="-30.00">
        <chord/>
        <pitch>
          <step>G</step>
          <octave>4</octave>
          </pitch>
        <duration>4</duration>
        <voice>1</voice>
        <type>quarter</type>
        <stem>up</stem>
        <staff>1</staff>
        </note>
      <note>
        <rest/>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <staff>1</staff>
        </note>
      <note default-x="132.52" default-y="-10.00">
        <pitch>
          <step>D</step>
          <octave>5</octave>
          </pitch>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">begin</beam>
        </note>
      <note default-x="170.87" default-y="-20.00">
        <pitch>
          <step>B</step>
          <octave>4</octave>
          </pitch>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        </note>
      <note default-x="209.22" default-y="-30.00">
        <pitch>
          <step>G</step>
          <octave>4</octave>
          </pitch>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">end</beam>
        </note>
      <backup>
        <duration>12</duration>
        </backup>
      <note>
        <rest/>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <staff>2</staff>
        </note>
      <note default-x="34.67" default-y="-180.00">
        <pitch>
          <step>G</step>
          <octave>1</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">begin</beam>
        <beam number="2">begin</beam>
        </note>
      <note default-x="58.67" default-y="-170.00">
        <pitch>
          <step>B</step>
          <octave>1</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">continue</beam>
        <beam number="2">continue</beam>
        </note>
      <note default-x="82.67" default-y="-160.00">
        <pitch>
          <step>D</step>
          <octave>2</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">continue</beam>
        <beam number="2">end</beam>
        </note>
      <note default-x="101.84" default-y="-145.00">
        <pitch>
          <step>G</step>
          <octave>2</octave>
          </pitch>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">end</beam>
        </note>
      <note>
        <rest/>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <staff>2</staff>
        </note>
      <note default-x="151.70" default-y="-145.00">
        <pitch>
          <step>G</step>
          <octave>2</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">begin</beam>
        <beam number="2">begin</beam>
        </note>
      <note default-x="170.87" default-y="-135.00">
        <pitch>
          <step>B</step>
          <octave>2</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">continue</beam>
        <beam number="2">continue</beam>
        </note>
      <note default-x="190.04" default-y="-125.00">
        <pitch>
          <step>D</step>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">continue</beam>
        <beam number="2">end</beam>
        </note>
      <note default-x="209.22" default-y="-110.00">
        <pitch>
          <step>G</step>
          <octave>3</octave>
          </pitch>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">end</beam>
        </note>
      </measure>
    <measure number="3" width="223.56">
      <note>
        <rest/>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <staff>1</staff>
        </note>
      <note default-x="30.73" default-y="-45.00">
        <pitch>
          <step>D</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">begin</beam>
        <beam number="2">begin</beam>
        </note>
      <note default-x="49.46" default-y="-30.00">
        <pitch>
          <step>G</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">continue</beam>
        </note>
      <note default-x="68.19" default-y="-20.00">
        <pitch>
          <step>B</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">end</beam>
        </note>
      <note default-x="86.92" default-y="-10.00">
        <pitch>
          <step>D</step>
          <octave>5</octave>
          </pitch>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">end</beam>
        </note>
      <note>
        <rest/>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <staff>1</staff>
        </note>
      <note default-x="135.61" default-y="-40.00">
        <pitch>
          <step>E</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">begin</beam>
        <beam number="2">begin</beam>
        </note>
      <note default-x="154.34" default-y="-30.00">
        <pitch>
          <step>G</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">continue</beam>
        </note>
      <note default-x="173.07" default-y="-15.00">
        <pitch>
          <step>C</step>
          <octave>5</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">end</beam>
        </note>
      <note default-x="191.80" default-y="-5.00">
        <pitch>
          <step>E</step>
          <octave>5</octave>
          </pitch>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">end</beam>
        </note>
      <backup>
        <duration>12</duration>
        </backup>
      <note default-x="12.00" default-y="-110.00">
        <pitch>
          <step>G</step>
          <octave>3</octave>
          </pitch>
        <duration>4</duration>
        <voice>5</voice>
        <type>quarter</type>
        <stem>down</stem>
        <staff>2</staff>
        </note>
      <note default-x="12.00" default-y="-100.00">
        <chord/>
        <pitch>
          <step>B</step>
          <octave>3</octave>
          </pitch>
        <duration>4</duration>
        <voice>5</voice>
        <type>quarter</type>
        <stem>down</stem>
        <staff>2</staff>
        </note>
      <note>
        <rest/>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <staff>2</staff>
        </note>
      <note default-x="116.88" default-y="-130.00">
        <pitch>
          <step>C</step>
          <octave>3</octave>
          </pitch>
        <duration>4</duration>
        <voice>5</voice>
        <type>quarter</type>
        <stem>down</stem>
        <staff>2</staff>
        </note>
      <note default-x="116.88" default-y="-95.00">
        <chord/>
        <pitch>
          <step>C</step>
          <octave>4</octave>
          </pitch>
        <duration>4</duration>
        <voice>5</voice>
        <type>quarter</type>
        <stem>down</stem>
        <staff>2</staff>
        </note>
      <note>
        <rest/>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <staff>2</staff>
        </note>
      </measure>
    <measure number="4" width="226.60">
      <note default-x="12.00" default-y="-45.00">
        <pitch>
          <step>D</step>
          <octave>4</octave>
          </pitch>
        <duration>4</duration>
        <voice>1</voice>
        <type>quarter</type>
        <stem>up</stem>
        <staff>1</staff>
        </note>
      <note default-x="12.00" default-y="-35.00">
        <chord/>
        <pitch>
          <step>F</step>
          <alter>1</alter>
          <octave>4</octave>
          </pitch>
        <duration>4</duration>
        <voice>1</voice>
        <type>quarter</type>
        <stem>up</stem>
        <staff>1</staff>
        </note>
      <note default-x="12.00" default-y="-25.00">
        <chord/>
        <pitch>
          <step>A</step>
          <octave>4</octave>
          </pitch>
        <duration>4</duration>
        <voice>1</voice>
        <type>quarter</type>
        <stem>up</stem>
        <staff>1</staff>
        </note>
      <note>
        <rest/>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <staff>1</staff>
        </note>
      <note default-x="119.22" default-y="10.00">
        <pitch>
          <step>A</step>
          <octave>5</octave>
          </pitch>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <stem>down</stem>
        <staff>1</staff>
        <beam number="1">begin</beam>
        </note>
      <note default-x="156.93" default-y="0.00">
        <pitch>
          <step>F</step>
          <alter>1</alter>
          <octave>5</octave>
          </pitch>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <stem>down</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        </note>
      <note default-x="194.63" default-y="-15.00">
        <pitch>
          <step>C</step>
          <octave>5</octave>
          </pitch>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <stem>down</stem>
        <staff>1</staff>
        <beam number="1">end</beam>
        </note>
      <backup>
        <duration>12</duration>
        </backup>
      <note>
        <rest/>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <staff>2</staff>
        </note>
      <note default-x="30.85" default-y="-160.00">
        <pitch>
          <step>D</step>
          <octave>2</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">begin</beam>
        <beam number="2">begin</beam>
        </note>
      <note default-x="51.35" default-y="-150.00">
        <pitch>
          <step>F</step>
          <alter>1</alter>
          <octave>2</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">continue</beam>
        <beam number="2">continue</beam>
        </note>
      <note default-x="70.20" default-y="-140.00">
        <pitch>
          <step>A</step>
          <octave>2</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">continue</beam>
        <beam number="2">end</beam>
        </note>
      <note default-x="89.06" default-y="-125.00">
        <pitch>
          <step>D</step>
          <octave>3</octave>
          </pitch>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">end</beam>
        </note>
      <note>
        <rest/>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <staff>2</staff>
        </note>
      <note default-x="138.07" default-y="-125.00">
        <pitch>
          <step>D</step>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>down</stem>
        <staff>2</staff>
        <beam number="1">begin</beam>
        <beam number="2">begin</beam>
        </note>
      <note default-x="156.93" default-y="-115.00">
        <pitch>
          <step>F</step>
          <alter>1</alter>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>down</stem>
        <staff>2</staff>
        <beam number="1">continue</beam>
        <beam number="2">continue</beam>
        </note>
      <note default-x="175.78" default-y="-105.00">
        <pitch>
          <step>A</step>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>down</stem>
        <staff>2</staff>
        <beam number="1">continue</beam>
        <beam number="2">end</beam>
        </note>
      <note default-x="194.63" default-y="-90.00">
        <pitch>
          <step>D</step>
          <octave>4</octave>
          </pitch>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <stem>down</stem>
        <staff>2</staff>
        <beam number="1">end</beam>
        </note>
      </measure>
    <measure number="5" width="323.19">
      <print new-system="yes">
        <system-layout>
          <system-margins>
            <left-margin>14.80</left-margin>
            <right-margin>0.00</right-margin>
            </system-margins>
          <system-distance>150.00</system-distance>
          </system-layout>
        <staff-layout number="2">
          <staff-distance>65.00</staff-distance>
          </staff-layout>
        </print>
      <note>
        <rest/>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <staff>1</staff>
        </note>
      <note default-x="99.66" default-y="-55.00">
        <pitch>
          <step>B</step>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">begin</beam>
        <beam number="2">begin</beam>
        </note>
      <note default-x="121.40" default-y="-45.00">
        <pitch>
          <step>D</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">continue</beam>
        </note>
      <note default-x="143.14" default-y="-30.00">
        <pitch>
          <step>G</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">end</beam>
        </note>
      <note default-x="164.87" default-y="-20.00">
        <pitch>
          <step>B</step>
          <octave>4</octave>
          </pitch>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">end</beam>
        </note>
      <note default-x="199.66" default-y="-15.00">
        <pitch>
          <step>C</step>
          <octave>5</octave>
          </pitch>
        <duration>4</duration>
        <voice>1</voice>
        <type>quarter</type>
        <stem>down</stem>
        <staff>1</staff>
        </note>
      <note>
        <rest/>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <staff>1</staff>
        </note>
      <backup>
        <duration>12</duration>
        </backup>
      <note default-x="77.92" default-y="-110.00">
        <pitch>
          <step>G</step>
          <octave>3</octave>
          </pitch>
        <duration>4</duration>
        <voice>5</voice>
        <type>quarter</type>
        <stem>down</stem>
        <staff>2</staff>
        </note>
      <note>
        <rest/>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <staff>2</staff>
        </note>
      <note>
        <rest/>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <staff>2</staff>
        </note>
      <note default-x="221.40" default-y="-140.00">
        <pitch>
          <step>A</step>
          <octave>2</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>down</stem>
        <staff>2</staff>
        <beam number="1">begin</beam>
        <beam number="2">begin</beam>
        </note>
      <note default-x="243.13" default-y="-130.00">
        <pitch>
          <step>C</step>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>down</stem>
        <staff>2</staff>
        <beam number="1">continue</beam>
        <beam number="2">continue</beam>
        </note>
      <note default-x="264.87" default-y="-115.00">
        <pitch>
          <step>F</step>
          <alter>1</alter>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>down</stem>
        <staff>2</staff>
        <beam number="1">continue</beam>
        <beam number="2">end</beam>
        </note>
      <note default-x="286.61" default-y="-105.00">
        <pitch>
          <step>A</step>
          <octave>3</octave>
          </pitch>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <stem>down</stem>
        <staff>2</staff>
        <beam number="1">end</beam>
        </note>
      </measure>
    <measure number="6" width="254.24">
      <note>
        <rest/>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <staff>1</staff>
        </note>
      <note default-x="33.47" default-y="-45.00">
        <pitch>
          <step>D</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">begin</beam>
        <beam number="2">begin</beam>
        </note>
      <note default-x="54.94" default-y="-30.00">
        <pitch>
          <step>G</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">continue</beam>
        </note>
      <note default-x="76.40" default-y="-20.00">
        <pitch>
          <step>B</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">end</beam>
        </note>
      <note default-x="97.87" default-y="-10.00">
        <pitch>
          <step>D</step>
          <octave>5</octave>
          </pitch>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">end</beam>
        </note>
      <note default-x="132.22" default-y="-5.00">
        <pitch>
          <step>E</step>
          <octave>5</octave>
          </pitch>
        <duration>4</duration>
        <voice>1</voice>
        <type>quarter</type>
        <stem>down</stem>
        <staff>1</staff>
        </note>
      <note>
        <rest/>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <staff>1</staff>
        </note>
      <backup>
        <duration>12</duration>
        </backup>
      <note default-x="12.00" default-y="-135.00">
        <pitch>
          <step>B</step>
          <octave>2</octave>
          </pitch>
        <duration>4</duration>
        <voice>5</voice>
        <type>quarter</type>
        <stem>up</stem>
        <staff>2</staff>
        </note>
      <note>
        <rest/>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <staff>2</staff>
        </note>
      <note>
        <rest/>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <staff>2</staff>
        </note>
      <note default-x="153.69" default-y="-130.00">
        <pitch>
          <step>C</step>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>down</stem>
        <staff>2</staff>
        <beam number="1">begin</beam>
        <beam number="2">begin</beam>
        </note>
      <note default-x="175.16" default-y="-120.00">
        <pitch>
          <step>E</step>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>down</stem>
        <staff>2</staff>
        <beam number="1">continue</beam>
        <beam number="2">continue</beam>
        </note>
      <note default-x="196.63" default-y="-105.00">
        <pitch>
          <step>A</step>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>down</stem>
        <staff>2</staff>
        <beam number="1">continue</beam>
        <beam number="2">end</beam>
        </note>
      <note default-x="218.09" default-y="-95.00">
        <pitch>
          <step>C</step>
          <octave>4</octave>
          </pitch>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <stem>down</stem>
        <staff>2</staff>
        <beam number="1">end</beam>
        </note>
      </measure>
    <measure number="7" width="275.78">
      <note>
        <rest/>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <staff>1</staff>
        </note>
      <note default-x="35.26" default-y="-65.00">
        <pitch>
          <step>G</step>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">begin</beam>
        <beam number="2">begin</beam>
        </note>
      <note default-x="59.26" default-y="-55.00">
        <pitch>
          <step>B</step>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">continue</beam>
        </note>
      <note default-x="82.51" default-y="-45.00">
        <pitch>
          <step>D</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">end</beam>
        </note>
      <note default-x="105.77" default-y="-30.00">
        <pitch>
          <step>G</step>
          <octave>4</octave>
          </pitch>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">end</beam>
        </note>
      <note>
        <rest/>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <staff>1</staff>
        </note>
      <note default-x="166.25" default-y="-60.00">
        <pitch>
          <step>A</step>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">begin</beam>
        <beam number="2">begin</beam>
        </note>
      <note default-x="190.24" default-y="-50.00">
        <pitch>
          <step>C</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">continue</beam>
        </note>
      <note default-x="213.50" default-y="-45.00">
        <pitch>
          <step>D</step>
          <octave>4</octave>
          </pitch>
        <duration>1</duration>
        <voice>1</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">continue</beam>
        <beam number="2">end</beam>
        </note>
      <note default-x="236.76" default-y="-35.00">
        <pitch>
          <step>F</step>
          <alter>1</alter>
          <octave>4</octave>
          </pitch>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>1</staff>
        <beam number="1">end</beam>
        </note>
      <backup>
        <duration>12</duration>
        </backup>
      <note default-x="12.00" default-y="-125.00">
        <pitch>
          <step>D</step>
          <octave>3</octave>
          </pitch>
        <duration>4</duration>
        <voice>5</voice>
        <type>quarter</type>
        <stem>down</stem>
        <staff>2</staff>
        </note>
      <note>
        <rest/>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <staff>2</staff>
        </note>
      <note default-x="142.99" default-y="-160.00">
        <pitch>
          <step>D</step>
          <octave>2</octave>
          </pitch>
        <duration>4</duration>
        <voice>5</voice>
        <type>quarter</type>
        <stem>up</stem>
        <staff>2</staff>
        </note>
      <note>
        <rest/>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <staff>2</staff>
        </note>
      </measure>
    <measure number="8" width="209.41">
      <note default-x="15.50" default-y="-50.00">
        <pitch>
          <step>C</step>
          <octave>4</octave>
          </pitch>
        <duration>6</duration>
        <voice>1</voice>
        <type>quarter</type>
        <dot/>
        <stem>up</stem>
        <staff>1</staff>
        </note>
      <note default-x="15.50" default-y="-35.00">
        <chord/>
        <pitch>
          <step>F</step>
          <alter>1</alter>
          <octave>4</octave>
          </pitch>
        <duration>6</duration>
        <voice>1</voice>
        <type>quarter</type>
        <dot/>
        <stem>up</stem>
        <staff>1</staff>
        </note>
      <note default-x="15.50" default-y="-25.00">
        <chord/>
        <pitch>
          <step>A</step>
          <octave>4</octave>
          </pitch>
        <duration>6</duration>
        <voice>1</voice>
        <type>quarter</type>
        <dot/>
        <stem>up</stem>
        <staff>1</staff>
        </note>
      <note default-x="124.68" default-y="-55.00">
        <pitch>
          <step>B</step>
          <octave>3</octave>
          </pitch>
        <duration>4</duration>
        <voice>1</voice>
        <type>quarter</type>
        <stem>up</stem>
        <staff>1</staff>
        </note>
      <note default-x="124.68" default-y="-45.00">
        <chord/>
        <pitch>
          <step>D</step>
          <octave>4</octave>
          </pitch>
        <duration>4</duration>
        <voice>1</voice>
        <type>quarter</type>
        <stem>up</stem>
        <staff>1</staff>
        </note>
      <note default-x="124.68" default-y="-30.00">
        <chord/>
        <pitch>
          <step>G</step>
          <octave>4</octave>
          </pitch>
        <duration>4</duration>
        <voice>1</voice>
        <type>quarter</type>
        <stem>up</stem>
        <staff>1</staff>
        </note>
      <note>
        <rest/>
        <duration>2</duration>
        <voice>1</voice>
        <type>eighth</type>
        <staff>1</staff>
        </note>
      <backup>
        <duration>12</duration>
        </backup>
      <note>
        <rest/>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <staff>2</staff>
        </note>
      <note default-x="35.00" default-y="-145.00">
        <pitch>
          <step>G</step>
          <octave>2</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">begin</beam>
        <beam number="2">begin</beam>
        </note>
      <note default-x="54.49" default-y="-135.00">
        <pitch>
          <step>B</step>
          <octave>2</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">continue</beam>
        <beam number="2">continue</beam>
        </note>
      <note default-x="73.99" default-y="-125.00">
        <pitch>
          <step>D</step>
          <octave>3</octave>
          </pitch>
        <duration>1</duration>
        <voice>5</voice>
        <type>16th</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">continue</beam>
        <beam number="2">end</beam>
        </note>
      <note default-x="93.48" default-y="-110.00">
        <pitch>
          <step>G</step>
          <octave>3</octave>
          </pitch>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <stem>up</stem>
        <staff>2</staff>
        <beam number="1">end</beam>
        </note>
      <note default-x="124.68" default-y="-145.00">
        <pitch>
          <step>G</step>
          <octave>2</octave>
          </pitch>
        <duration>4</duration>
        <voice>5</voice>
        <type>quarter</type>
        <stem>up</stem>
        <staff>2</staff>
        </note>
      <note>
        <rest/>
        <duration>2</duration>
        <voice>5</voice>
        <type>eighth</type>
        <staff>2</staff>
        </note>
      <barline location="right">
        <bar-style>light-heavy</bar-style>
        </barline>
      </measure>
    </part>
  </score-partwise>

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