You task is to slecte an appropirate musical tune in order to analyse the patterns of the notes. Then yusing this analysuis create a model utilsing matrixes (markov china) to generate tune that will mimic the orignal and have similar muscial characteristics
Answer this : Identification of the mathematical procedures, concepts and techniques.
The mathematical procedures, concepts, and techniques involved in this task are:
1. Musical Analysis: Analyzing the patterns of notes in the chosen musical tune, such as identifying the sequence of notes and their durations.
2. Matrix Operations: Utilizing matrices to represent the notes, their transitions, and probabilities in a Markov Chain model. This involves matrix multiplication, addition, and manipulation.
3. Markov Chains: Using the concept of Markov Chains to model the musical characteristics of the original tune. Markov Chains are a mathematical concept that involves representing a sequence of events with probabilistic transitions between them.
4. Probability Calculations: Determining the probabilities of note transitions based on the analysis of the original tune. This involves calculating the transition probabilities and using them to generate the next note in the sequence.
5. Random Number Generation: Generating random numbers to select the next note based on the probabilities calculated in the Markov Chain model.
6. Matrix Manipulation and Retrieval: Manipulating and retrieving data from the generated matrix to create a new musical sequence that mimics the original tune.
Overall, the mathematical procedures involved revolve around analyzing and representing musical patterns using matrix operations, Markov Chains, and probability calculations to generate a new tune with similar musical characteristics.