PitchBendJupyter.ipynb

{
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  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "36e0f086",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "db925b48",
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "16deea92",
   "metadata": {},
   "outputs": [],
   "source": [
    "spec = 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   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c2f6011c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3b0c326b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f81d24be580>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(spec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "23e4fb73",
   "metadata": {},
   "outputs": [],
   "source": [
    "spec = 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   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "37736f15",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f816002bd90>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(spec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "6f19c97a",
   "metadata": {},
   "outputs": [],
   "source": [
    "spec = 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   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e6ce367a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f81e0526340>]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(spec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1bdf2868",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}