From 50b112de22535a56604b98ce3abe584044f7e117 Mon Sep 17 00:00:00 2001 From: Patrick Hangl Date: Fri, 19 Sep 2025 12:10:20 +0200 Subject: [PATCH] E-Minor Chord --- signal_interference.ipynb | 109 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 109 insertions(+) create mode 100644 signal_interference.ipynb diff --git a/signal_interference.ipynb b/signal_interference.ipynb new file mode 100644 index 0000000..16f92c2 --- /dev/null +++ b/signal_interference.ipynb @@ -0,0 +1,109 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "id": "7e7e972a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Parameter für Sinus-Wellen\n", + "frequency_e2 = 82.4 # Hz\n", + "frequency_g2 = 98 # Hz\n", + "frequency_b2 = 123.5 # Hz\n", + "amplitude = 1 # Fixe Amplitude\n", + "sampling_rate = 1000 # Datenpunkte/Sekunde\n", + "duration = 0.1 # Dauer der Betrachtung\n", + "\n", + "# Zeit für X-Achse anlegen\n", + "t = np.linspace(0, duration, sampling_rate, endpoint=False)\n", + "\n", + "# Sinus-Wellen generieren\n", + "sine_e2 = amplitude * np.sin(2 * np.pi * frequency_e2 * t)\n", + "sine_g2 = amplitude * np.sin(2 * np.pi * frequency_g2 * t)\n", + "sine_b2 = amplitude * np.sin(2 * np.pi * frequency_b2 * t)\n", + "interference = sine_e2+sine_g2+sine_b2\n", + "\n", + "\n", + "# Create the plot\n", + "\n", + "# plt.figure(figsize=(10, 6)) # Set figure size for better visibility\n", + "# plt.subplot(4,1,1)\n", + "# plt.plot(t, sine_e2)\n", + "# plt.title(f'E2 ({frequency_e2} Hz)')\n", + "# plt.xlabel('Time (s)')\n", + "# plt.ylabel('Amplitude')\n", + "# plt.subplot(4,1,2)\n", + "# plt.plot(t, sine_g2)\n", + "# plt.title(f'G2 ({frequency_g2} Hz)')\n", + "# plt.xlabel('Time (s)')\n", + "# plt.ylabel('Amplitude')\n", + "# plt.subplot(4,1,3)\n", + "# plt.plot(t, sine_b2)\n", + "# plt.title(f'G2 ({frequency_b2} Hz)')\n", + "# plt.xlabel('Time (s)')\n", + "# plt.ylabel('Amplitude')\n", + "# plt.subplot(4,1,4)\n", + "# plt.plot(t, interference)\n", + "# plt.title(f'E-Minor Chord')\n", + "# plt.xlabel('Time (s)')\n", + "# plt.ylabel('Amplitude')\n", + "\n", + "fig, ax = plt.subplots(4, 1 ,sharex=True, sharey=True)\n", + "fig.tight_layout()\n", + "ax[0].plot(t, sine_e2)\n", + "ax[1].plot(t, sine_g2)\n", + "ax[2].plot(t, sine_b2)\n", + "ax[3].plot(t, interference, c='orange')\n", + "\n", + "ax[0].set_title(f'E2 ({frequency_e2} Hz)')\n", + "ax[1].set_title(f'G2 ({frequency_g2} Hz)')\n", + "ax[2].set_title(f'B2 ({frequency_b2} Hz)')\n", + "ax[3].set_title('E Minor Chord')\n", + "\n", + "ax[3].set_xlabel('time(s)')\n", + "ax[0].set_ylabel('Amplitude')\n", + "ax[1].set_ylabel('Amplitude')\n", + "ax[2].set_ylabel('Amplitude')\n", + "ax[3].set_ylabel('Amplitude')\n", + "\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.4" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}