Homework #1, note identification

[antoniojl]

Hi all:

Part of the data provided for the homework doesn't seem to match up.
These instructions are mentioned:

###############################################
Projecting Instrument Notes

For this problem you will transform the harmonica notes of problem 1
to piano notes, by a matrix transform. The piano notes can be
downloaded from here. Note that, in this case, you don't know which
piano notes correspond to which notes from the harmonica. There are 3
parts to this problem:
* Find the piano note corresponding to each note from the harmonica.
The dot product is your friend.
* Find a transformation that converts the harmonica notes to piano
notes. To do so, you must list the spectra for all hamonica notes as a
matrix H. List the correspnding piano notes as a matrix P. There must
be a one-to-one correspondence between the notes represented by the
columns of H and those represented by the columns of P. The and
provide the resulting rotation matrix in your solution. The desired
transformation is a matrix M such that MH ≈ P. Provide the matrix M.
* Synthesize the music piece from Problem 1, using both the actual
piano notes and those obtained by transforming the harmonica notes.
Submit both synthesized recordings.
###############################################

There are 11 harmonica notes provided (e through a2), but the piano
notes file here:
http://mlsp.cs.cmu.edu/courses/fall2011/class2-3.1-5.sep.11.linearalgebra/homework/pianonotes.tar.gz

contains 18 piano recordings. There are 7 other harmonica recordings
in a previous link:
http://mlsp.cs.cmu.edu/courses/fall2011/class2-3.1-5.sep.11.linearalgebra/homework/blowininthewind/MLSP_HW1_data.tgz

but I don't think these are part of the same exercise. Some of the
piano recordings are chords instead of single notes, and some of the
harmonica notes don't seem to have a direct mapping in the 18 piano
notes. Some are there but on a different octave, and that makes the
comparison prefer the piano chords that contain the actual note
instead of the correct single piano notes that are on a different
octave.

Also interestingly, the harmonica note filenames don't seem to match
with the actual notes - they're 2 tones behind, which makes me further
suspect data mismatch.

Is there something missing from the data, or did I understand
something wrong?

[bhiksha raj]

a) The first problem (blowing in the wind) is not related to Polyushka
Polye, so please dont mix and match the notes.

b) For every harmonica note there is a piano note, but not vice versa.
So you have to find the right piano notes to use -- *automatically*,
and not by ear.

c) The harmonica note names may be wrong. My musical knowledge is
suspect -- I can play the harmonica a little, but I don't know what
notes I'm playing :-)

-Bhiksha

--
Bhiksha Raj
Associate Professor
Carnegie Mellon University
Pittsburgh, PA, USA
Tel: 412 268 9826