music_math.py

import json
import networkx as nx
import numpy as np

def create_music_graph():
    """
    Creates a directed graph representing the 12-tone chromatic scale
    with edges for major and minor thirds, and perfect fifths.
    """
    notes = ['C', 'C#', 'D', 'D#', 'E', 'F', 'F#', 'G', 'G#', 'A', 'A#', 'B']
    G = nx.DiGraph()
    for i, note in enumerate(notes):
        G.add_node(i, label=note)

    for i in range(12):
        # Major third (4 semitones)
        G.add_edge(i, (i + 4) % 12, interval='M3')
        # Minor third (3 semitones)
        G.add_edge(i, (i + 3) % 12, interval='m3')
        # Perfect fifth (7 semitones)
        G.add_edge(i, (i + 7) % 12, interval='P5')

    return G

def get_adjacency_matrix(G):
    """
    Returns the adjacency matrix of the graph.
    """
    return nx.to_numpy_array(G, dtype=int)

def save_matrix_to_json(matrix, path='matrix.json'):
    """
    Saves the matrix to a JSON file.
    """
    with open(path, 'w') as f:
        json.dump(matrix.tolist(), f)

if __name__ == '__main__':
    graph = create_music_graph()
    adj_matrix = get_adjacency_matrix(graph)
    save_matrix_to_json(adj_matrix, '/home/KidIkaros/Documents/code/Ikaros/musick/chord-detector-extension/matrix.json')
    print("Adjacency matrix saved to matrix.json")
    print(adj_matrix)