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The usual task in music information retrieval (MIR) is to find occurrences of a monophonic query pattern within a music database, which can contain both monophonic and polyphonic content. The so-called query-by-humming systems are a famous instance of content-based MIR. In such a system, the user's hummed query is converted into symbolic form to pe...
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Context 1
... instance, replacing the first (key) note by G would require the melody to be transposed as follows to sound similar: G-A-B-C- D-E-F#. As can be seen in Figure 3, the interval relationships do not change at all. ...
Context 2
... θ = |W|, where |W| denotes the number of "on" pixels in the query image, then (5.1) is equivalent to the erosion of X by W. By lowering the value of θ, we can impose looser conditions than erosion on detecting W in X. Our MATLAB implementation follows: C = conv2(A, B, 'same'); % convolute C = C -theta; % apply the threshold figure(3);imshow (C,[] In this and the following examples, we have used an image of the piano-roll representation of the Finnish composer Jean Sibelius' "Finlandia" to represent the database (Fig. 19). The song was loaded into Logic Audio Platinum 10 as a MIDI file, opened in the Matrix Editor (Logic's version of a piano-roll editor) for reviewing, and a screenshot was taken. ...
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Citations
... There are already a few applications of Mathematical Morphology to Music [3,4], and [5] on this topic that use piano rolls. This paper extends these earlier works in terms of both representations of music and types of operators. ...
Mathematical Morphology provides powerful tools for image processing, analysis and understanding. In this paper, we apply these tools to analyze scores, that are image-like representations of Music. To do that, we consider chroma rolls, a representation of scores similar to piano rolls that use chromas instead of pitches. Endowing this representation with a lattice structure, one can define Mathematical Morphology operators, and setting a group structure to the Time-Frequency plane allows us to use the notion of structuring element. We show throughout some examples that this relates with the notion of pitch-class set and chord progressions, and we analyze two Chopin’s Nocturnes with this technique.KeywordsMathematical MorphologyHarmonic analysisTime-frequencyPitch-class setChord progressionChroma roll
