{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ab942351-8c7f-4384-8549-233a9704500a",
   "metadata": {},
   "source": [
    "# Uneven rhythms"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "abe364e4-16d9-403f-9463-692639cba4d3",
   "metadata": {},
   "source": [
    "In this example, we will go through the methods section of a classic study by [Repp, London, and Keller (2005)](https://doi.org/10.1525/mp.2005.23.1.61).\n",
    "A PDF for the paper is available [here](https://www.researchgate.net/publication/38136482_Production_and_synchronization_of_uneven_rhythms_at_fast_tempi).\n",
    "\n",
    "This example makes heavy use of list comprehensions. If you do not yet understand those fully, best to take a look at [this tutorial](https://www.freecodecamp.org/news/list-comprehension-in-python/) before reading on."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb5f0631-85ff-4773-9a29-291ee001c027",
   "metadata": {},
   "source": [
    "First we do some necessary imports:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "89ecff60-9555-443e-93f5-bf2f02e559a1",
   "metadata": {},
   "outputs": [],
   "source": [
    "from thebeat.music import Rhythm\n",
    "from thebeat.core import Sequence, SoundStimulus, SoundSequence\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "2779fc75-cd04-44c5-97cc-04181a0d2177",
   "metadata": {
    "nbsphinx": "hidden",
    "tags": []
   },
   "outputs": [],
   "source": [
    "# We suppress warnings, but let's hide that to avoid confusion\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "db37374a-75bb-44c2-8bfd-fecc6bbf3eea",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d3a4b169-b18a-4dd9-96c9-97677e6c68c3",
   "metadata": {},
   "source": [
    "In the experiment in Repp, London, and Keller (2005), the production of and synchronization with 'uneven' rhythms was tested. These are rhythms with unusual subdivisions of timing (i.e. non-binary). Check out Figure 1 from the paper. We will only make the {2, 3} set; at the end of this example you will be able to make the other ones yourself."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c1b29b23-d147-46c1-8242-043f31534ebb",
   "metadata": {
    "raw_mimetype": "text/restructuredtext",
    "tags": []
   },
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "raw",
   "id": "32c93aae-1681-49e8-94e6-d0927f5f532f",
   "metadata": {
    "raw_mimetype": "text/restructuredtext",
    "tags": []
   },
   "source": [
    "We can create these rhythms easily using the :py:class:`~thebeat.music.Rhythm` class. This class can be used to generate or plot rhythms. Note that it doesn't contain any sound, it is in essence similar to the :py:class:`~thebeat.core.Sequence` class, except that it has a ``beat_ms``, a ``time_signature`` and a list ``is_played``, which contains information about whether the notes are actually played, or whether they are rests. In addition, Rhythm objects always have ``end_with_interval=True`` (see :py:meth:`~thebeat.core.Sequence.__init__`). \n",
    "\n",
    ":py:class:`~thebeat.music.Rhythm` objects can be created in a number of ways. The constructor uses IOIs, e.g. ``r = Rhythm(500, 500, 500, 500)``.\n",
    "Easier is to think about it in terms of integer ratios (:py:meth:`~thebeat.music.Rhythm.from_integer_ratios`), or possibly note values (:py:meth:`~thebeat.music.Rhythm.from_note_values`)."
   ]
  },
  {
   "cell_type": "raw",
   "id": "b3f36f4c-2834-430b-8660-d2013545c211",
   "metadata": {
    "raw_mimetype": "text/restructuredtext",
    "tags": []
   },
   "source": [
    "Example rhythm\n",
    "--------------\n",
    "\n",
    "As an example let's create the first rhythm from set A, and then print and plot it. We'll do it in 5/8 time signature to make the plot the same as in the illustration above.\n",
    "\n",
    ".. note::\n",
    "    ``beat_ms`` also adheres to the denominator of the time signature. As such, changing from 5/4 to 5/8 doesn't change the tempo."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "113a6f36-f9eb-4155-a693-79634da182a2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Object of type Rhythm.\n",
      "Time signature: (5, 8)\n",
      "Number of bars: 1.0\n",
      "Beat (ms): 170\n",
      "Number of events: 2\n",
      "IOIs: [340. 510.]\n",
      "Onsets:[  0. 340.]\n",
      "Name: None\n",
      "\n"
     ]
    },
    {
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      "text/plain": [
       "<Figure size 3840x2880 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "r_23 = Rhythm.from_integer_ratios([2, 3], beat_ms=170, time_signature=(5, 8))\n",
    "print(r_23)\n",
    "\n",
    "r_23.plot_rhythm(dpi=600);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c7068d31-aca4-4650-9475-1c5f1703def9",
   "metadata": {},
   "source": [
    "To elongate this rhythm we can do:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "919ca609-6a7a-4cca-8d63-c5a22064a423",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3840x2880 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "r_23 = r_23 * 3\n",
    "r_23.plot_rhythm(dpi=600);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "cfade658-a157-42b4-ab8e-030451c090c6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x240 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "seq = r_23.to_sequence()\n",
    "fig, ax = seq.plot_sequence();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d97fb1e7-cc49-4b2a-af41-cdb309a35ce0",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "944703ad-b25f-4ac8-a02a-ebd17b9273fa",
   "metadata": {},
   "source": [
    "## Creating the {2, 3} set\n",
    "\n",
    "In the method section it says:\n",
    "\n",
    "> \"\\[The tempo\\] decreased from 170 ms in the first trial to 100 ms in the eighth trial, in steps of -10 ms.\"\n",
    "\n",
    "So, we'll now create the two rhythms of the {2, 3} set at the eight different tempi mentioned above. For convenience, we'll call the set 'Set A' from now on. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "4f9eeba7-0ffe-4b3d-9e58-067e9d838b44",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[170 160 150 140 130 120 110 100]\n"
     ]
    }
   ],
   "source": [
    "# Create tempi\n",
    "tempi = np.arange(170, 90, -10)  # as arange does not include the enpoint we stop at 90 instead of 100\n",
    "print(tempi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "dd9f1179-6c27-45ae-8e31-015b71caf505",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[Rhythm(name=2_3_170ms, n_bars=3.0, time_signature=(5, 4)), Rhythm(name=3_2_170ms, n_bars=3.0, time_signature=(5, 4)), Rhythm(name=2_3_160ms, n_bars=3.0, time_signature=(5, 4)), Rhythm(name=3_2_160ms, n_bars=3.0, time_signature=(5, 4)), Rhythm(name=2_3_150ms, n_bars=3.0, time_signature=(5, 4)), Rhythm(name=3_2_150ms, n_bars=3.0, time_signature=(5, 4)), Rhythm(name=2_3_140ms, n_bars=3.0, time_signature=(5, 4)), Rhythm(name=3_2_140ms, n_bars=3.0, time_signature=(5, 4)), Rhythm(name=2_3_130ms, n_bars=3.0, time_signature=(5, 4)), Rhythm(name=3_2_130ms, n_bars=3.0, time_signature=(5, 4)), Rhythm(name=2_3_120ms, n_bars=3.0, time_signature=(5, 4)), Rhythm(name=3_2_120ms, n_bars=3.0, time_signature=(5, 4)), Rhythm(name=2_3_110ms, n_bars=3.0, time_signature=(5, 4)), Rhythm(name=3_2_110ms, n_bars=3.0, time_signature=(5, 4)), Rhythm(name=2_3_100ms, n_bars=3.0, time_signature=(5, 4)), Rhythm(name=3_2_100ms, n_bars=3.0, time_signature=(5, 4))]\n"
     ]
    }
   ],
   "source": [
    "set_a = []\n",
    "\n",
    "for tempo in tempi:\n",
    "    set_a.append(Rhythm.from_integer_ratios([2, 3] * 3, \n",
    "                                            beat_ms=tempo, \n",
    "                                            time_signature=(5, 4), \n",
    "                                            name=f\"2_3_{tempo}ms\"))\n",
    "    set_a.append(Rhythm.from_integer_ratios([3, 2] * 3, \n",
    "                                            beat_ms=tempo, \n",
    "                                            time_signature=(5, 4), \n",
    "                                            name=f\"3_2_{tempo}ms\"))\n",
    "\n",
    "# Let's see what Set A looks like now\n",
    "print(set_a)"
   ]
  },
  {
   "cell_type": "raw",
   "id": "ec634011-21b9-4ad7-8ef0-959fc3fda313",
   "metadata": {
    "raw_mimetype": "text/restructuredtext",
    "tags": []
   },
   "source": [
    "That looks OK. Now how do we get sound? For that we do three things:\n",
    "\n",
    "1. Generate a sound using :py:meth:`thebeat.core.SoundStimulus.generate`.\n",
    "2. Convert the :py:class:`~thebeat.music.Rhythm` to a :py:class:`~thebeat.core.Sequence`.\n",
    "3. Combine 1 and 2 in a :py:class:`~thebeat.core.SoundSequence` which we can play."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "56d5eca2-dd24-4dde-a443-dc579d47d417",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 1. generate a sound (2640 Hz acc. to the paper, duration wasn't specified)\n",
    "stim = SoundStimulus.generate(freq=2640, duration_ms=50, offramp_ms=10)\n",
    "\n",
    "# 2. convert all Rhythms to Sequence. We use a list comprehension here:\n",
    "set_a_seqs = [rhythm.to_sequence() for rhythm in set_a]\n",
    "\n",
    "# 3. generate trials. we also copy the name of the Sequence to the SoundSequence.\n",
    "trials = [SoundSequence(stim, sequence, name=sequence.name) for sequence in set_a_seqs]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "69ea4640-7d29-4802-8822-4c1fd470cf15",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[SoundSequence(name=2_3_170ms, n_events=6), SoundSequence(name=3_2_170ms, n_events=6), SoundSequence(name=2_3_160ms, n_events=6), SoundSequence(name=3_2_160ms, n_events=6), SoundSequence(name=2_3_150ms, n_events=6), SoundSequence(name=3_2_150ms, n_events=6), SoundSequence(name=2_3_140ms, n_events=6), SoundSequence(name=3_2_140ms, n_events=6), SoundSequence(name=2_3_130ms, n_events=6), SoundSequence(name=3_2_130ms, n_events=6), SoundSequence(name=2_3_120ms, n_events=6), SoundSequence(name=3_2_120ms, n_events=6), SoundSequence(name=2_3_110ms, n_events=6), SoundSequence(name=3_2_110ms, n_events=6), SoundSequence(name=2_3_100ms, n_events=6), SoundSequence(name=3_2_100ms, n_events=6)]\n"
     ]
    }
   ],
   "source": [
    "print(trials)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca0d4f5a-9ef8-4673-a5eb-51c07ed403ea",
   "metadata": {},
   "source": [
    "---\n",
    "That's it! We can now plot, play or write all these files to disk. We'll grab one which we'll plot and play. How to write all these files to disk you can see in the code block at the bottom of this page."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "b0b07c77-07ab-48ba-a351-a5201d48fdb5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 800x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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vXAAAgMxI4vyXxJ4AAIDkmjlzZpSUlFR4XlxcHAMGDMhK7kaNGkW/fv1SxlRnhtFTZmWrJwAAgExJ4syUxJ4AAICKpfuSb6ovaaaSxNlCT5llBgQAgPzI1hyYREmcmZLYU1JZBvU106ZNS3me7o1VU9tuu23K83T1AQAAUDlJnP+S2BMAAJBcU6dOTXneu3fvaNiwYdbyZ2OG0VPmmTUBAIDaLIkzUxJ7AgAANm3VqlWxcuXKlDGtWrWq1t1JnC30lHlmQAAAyK1szoFJlMSZKYk9JZVlUF8zffr0lOd9+/bNav5096erDwAAgMpJ4vyXxJ4AAIDkSuIMo6fMM2sCAAC1WRJnpiT2BAAAbNr06dOjvLw8ZUz37t2rfXcqdXG20FPmmQEBACC3sjkHJlESZ6Yk9pRURfkuoDaZM2dOyvPNN988q/nT3f/JJ59kNT8AAEAmlZaWxqeffhqff/55LF++PNatWxdFRUXRuHHjaNGiRXTq1Ck6d+4cjRs3znltSZz/ktgTAACQXPmeYXr06JHyvC7OZXoCAACSpqysLObNmxefffZZLF26NNauXRuFhYXRpEmTaN68eXTq1Ck6deoUzZo1y0t9SZyZktgTAACwaS+++GLK8+bNm0eXLl2qdXcSZws9ZZ4ZEAAAciubc2B1eBaYmjmwfrMM6p/Ky8tj/vz5KWPy/cZNVx8AAEC+zZw5M6655pqYNGlSfPjhh7F+/fqU8YWFhdGzZ8/YdtttY7fddos999wz2rVrl9Uakzj/JbEnAAAg2ebNm5fyPN8LbUtKSuLLL7+Mtm3bVvpOPWVeNnoCAABqt88++yxuuOGGmDhxYkyfPj3WrFmT9jXdu3eP/v37xy677BJ77bVXzj6knsSZKYk9AQAA31RWVhZPPfVUypgdd9wxCgsLq3V/EmcLPWWeGRAAAHIn23NgZXkWWHnmwPrNMqh/Wrx4caxbty5lzGabbZbVGjp27JjyvKSkJJYsWZL1L0YDAABU19NPP12l+I0bN8bs2bNj9uzZ8de//jUKCwtjjz32iGOPPTaGDh0aBQUFGa8xifNfEnsCAACSq7y8PD777LOUMdmeYdq3bx+FhYWxcePGCmPmzZtX6QfKesqOTPcEAADUfpMmTYpJkyZV6TVz586NuXPn/vtZ5eDBg+OYY46Jgw8+OIqKsvMx2STOTEnsCQAA2LRnn3027S943Geffap1dxJnCz1lhxkQAAByJ5tzYFV4Flh55sD6Lbtr2eqQhQsXpo3p0KFDVmto37592pjK1AkAAFBXbdy4MV566aU444wz4ogjjogJEyZkPEcS578k9gQAACTX8uXL0y60rcyMURNFRUXRunXrlDFVmWH0lB2Z7gkAAKgf3njjjfjJT34SBx98cDz55JNZyZHEmSmJPQEAAN9UVlYWN9xwQ8qY4uLiOPDAA6t1fxJnCz1lhxkQAAByI9tzYK55Fvgf5sDksgzqn5YtW5byvHnz5tGwYcOs1tCkSZNo2rRpyph0dQIAACTF1KlT4+STT46LLrooVq1albF7kzj/JbEnAAAguSozG7Rr1y7rdaR7aL106dJK36Wn7MlkTwAAQP3yySefxHnnnRenn356LFq0KKN3J3FmSmJPAADAN/35z3+OmTNnpowZPnx42i9nViSJs4WesscMCAAA2ZftOTBfPAs0ByaZZVD/tHz58pTnzZs3z0kd6fL44iwAAFDfPPzww3H00UfH3LlzM3JfEue/JPYEAAAkV7oZJiI3c0yzZs1SnlemzqrE6ql6MtkTAABQP73wwgtx+OGHx/vvv5+xO5M4MyWxJwAA4L/NmzcvrrvuupQxxcXFMWrUqGrnSOJsoafsMQMCAEB25WIOzDfPAisniT0lmWVQ/5TuDZHuDZUp3rgAAADfNGvWrDjqqKPio48+qvFdSZz/ktgTAACQXOlmg8aNG0eDBg2yXkcu5zI9VZ9ZEwAAyISFCxfG8ccfH5MmTcrIfUmcmZLYEwAA8B9lZWVx4YUXRklJScq4E088MXr06FHtPEmcLfSUPWZAAADInlzNgbWBZ4HpJbGnJCvKdwG1xbp161KeN2nSJCd1NG3aNOV5ujoBAADyZauttor+/fvHVlttFVtttVV07tw5mjdvHi1atIji4uJYvnx5LFu2LJYsWRLvvvtuvP766/HWW2/FqlWrKnX/0qVL4+STT44///nP0b1792rXmcT5L4k9AQAAybV+/fqU57maYdI9UK7KDKOn7MlkTwAAQO3Wo0ePGDBgQPTt2ze23HLL6NatW7Ro0SKaN28ejRs3jhUrVsTSpUtj2bJl8f7778frr78eb7zxRixdurRS969ZsyZOP/30GDNmTAwYMKBGtSZxZkpiTwAAwH/8/ve/j9dffz1lTOfOnePMM8+sUZ4kzhZ6yh4zIAAAZE+u5sDK8iyw6syB9ZdlUP9UWlqa8ryoKDf/qtLlSVcnAABArjRo0CB23333GDp0aOy9997RpUuXlPHt27eP9u3bR58+fWLnnXeO0047LdatWxePPPJI3HnnnfHJJ5+kzblo0aI499xz47777otGjRpVq+4kzn9J7AkAAEiudA+UczXDpPsNRlWZYfSUPZnsCQAAqH122mmn2HfffWOvvfaKXr16pYxt27ZttG3bNiIidtxxxzjppJOirKwsnn766bj99ttj2rRpafOVlJTEueeeGw8//PC/76qOJM5MSewJAAD4yvPPPx+jR49OGVNQUBBXXHFFNG/evEa5kjhb6Cl7zIAAAJAduZwDU/EssGbMgfVXYb4LqC3SvSHSvaEyxRsXAACo7Tp06BBnnnlmPP/883HbbbfFiBEj0i6CqkijRo3i2GOPjaeffjp++tOfRnFxcdrXTJs2LX77299WK19EMue/JPYEAAAkVxJnGD1lj1kTAACSp2XLlnHiiSfGU089Fffcc0+cfPLJaT/8XZEGDRrEIYccEo888khcd911aX+TbETE559/Hr/4xS+qle9fkjgzJbEnAAAg4sMPP4wf//jHUV5enjLu+OOPj912263G+ZI4W+gpe8yAAACQebmeA/+XZ4GZYw6sv3KzmqsO2LhxY8rz2vLGLSsry0kdAAAAFXnxxRczvum5sLAwTjrppBg0aFD88Ic/jPnz56eMv+eee+Lwww+Pvn37VjlXEue/JPYEAAAkV7oPGNTFGUZP2WPWBACA5HnooYey8ptlv/Od78S2224b5557bsyYMSNl7Pjx4+Oll16Kvfbaq1q5kjgzJbEnAACo75YsWRKnn356rF69OmXcdtttF+eff35GciZxttBT9pgBAQAgs/IxB/4vzwIzxxxYfxXmu4DaIt1fJhs2bMhJHenyFBcX56QOAACAimTjf8b8y4ABA+Kee+6Jzp07p4zbsGFD3HDDDdXKkcT5L4k9AQAAyZXuQW5dnGH0lD1mTQAASJ5sPm/s2bNn3HPPPbH11lunjf3d735X7TxJnJmS2BMAANRnq1evjlGjRqX95ZytW7eO3//+99GwYcOM5E3ibKGn7DEDAgBA5uRrDvxfngVmjjmw/rIM6p/SvSFytT3MGxcAAKjvunTpEjfddFPa/6H0/PPPx5w5c6p8fxLnvyT2BAAAJFcSZxg9ZY9ZEwAAqKqWLVvGH//4x2jdunXKuGnTpsXEiROrlSOJM1MSewIAgPpq/fr1cfbZZ8fUqVNTxjVu3Dhuvvnm6Nq1a8ZyJ3G20FP2mAEBACAz8jkH5ppngf9hDkwuy6D+Kd12udLS0pzU4Y0LAAAQ0b9///i///u/lDEbN26Mv/71r1W+O4nzXxJ7AgAAkiuJM4yessesCQAAVEeXLl3ioosuShv36KOPVuv+JM5MSewJAADqo7KysvjRj34UEyZMSBlXXFwcv//972PHHXfMaP4kzhZ6yh4zIAAA1Fy+58B88CzwK+bA5LIM6p+aNm2a8rykpCQndaxevTrlebo6AQAAkmLUqFHRrl27lDF///vfq3xvEue/JPYEAAAkV7NmzVKe18UZRk/ZY9YEAACqa9iwYdG3b9+UMc8991y1PticxJkpiT0BAEB9U15eHhdffHE888wzKeMKCwvj6quvjr333jvjNSRxttBT9pgBAQCgZmrDHJgvngWaA5PMMqh/at26dcrzVatW5aSOdHlatWqVkzoAAADyrVGjRnHsscemjJk5c2YsWbKkSvcmcf5LYk8AAEBypZsNSktLY926dVmvI5MzjJ6yx6wJAABUV0FBQZx00kkpY1auXBnTp0+v8t1JnJmS2BMAANQ3l19+eTz88MNp4y699NI45JBDslJDEmcLPWWPGRAAAGqmNsyB+eJZoDkwySyD+qd0X5xdsWJFTupYuXJlyvN0dQIAACTJQQcdlDbm7bffrtKdSZz/ktgTAACQXJWZDXIxx+RyLovQU3WZNQEAgJrYf//9o7i4OGVMVZ83RiRzZkpiTwAAUJ/89re/jXHjxqWNu/DCC+Poo4/OWh1JnC30lD1mQAAAqL7aMgfmk2eBrSt9VxJ7SjLLoP6pTZs2Kc/Xr1+f9TfusmXLorS0NGVMujoBAACSZMstt4x27dqljJk9e3aV7kzi/JfEngAAgOSqzGywePHirNexaNGilOdVeaCsp+zJZE8AAED907Jly9h6661TxlT1eWNEMmemJPYEAAD1xS233BK33npr2rhzzjknTj755KzWksTZQk/ZYwYEAIDqqU1zYD55Fti60nclsackswzqnzp37pw2Jttv3CVLlqSNqUydAAAASbLNNtukPJ8/f36V7kvi/JfEngAAgORq0qRJ2oe12Z5h1qxZE6tXr04Z07Vr10rfp6fsyHRPAABA/dSvX7+U51V93hiRzJkpiT0BAEB9MGbMmLj++uvTxp166qlx9tlnZ72eJM4WesoOMyAAAFRPbZsD882zwMpJYk9JZhnUPzVr1iztG/ezzz7Lag3z5s1Led6uXbto2rRpVmsAAACobdIN8F9++WWV7kvi/JfEngAAgGRLN+tle4apzP1VfaCsp8zLRk8AAED9061bt5TnVX3e+C9JnJmS2BMAACTZ/fffH1dccUXauOOPPz7OP//8HFT0lSTOFnrKPDMgAABUXW2dA/PJs8DKS2JPSWUZ1Nek+yH/5JNPspr/008/TXmerj4AAIAkatGiRcrzNWvWVPnOJM5/SewJAABIrnQzwpw5c7KaP92M1L59+2jSpEmV7tRT5mWjJwAAoP5p3rx5yvPqPG+MSObMlMSeAAAgqR599NG45JJL0sYdeeSRcfHFF+egov9I4myhp8wzAwIAQNXU5jkwnzwLrLwk9pRUlkF9zZZbbpny/OOPP85q/nT39+nTJ6v5AQAAaqPi4uKU5xs2bKjynUmc/5LYEwAAkFxJnGH0lHlmTQAAIBOy8bwxIpkzUxJ7AgCAJHrqqafipz/9aZSXl6eM+853vhOXXXZZFBQU5KiyryRxttBT5pkBAQCg8mr7HJhPngVWXhJ7SirLoL6mX79+Kc+nTZuW1fzp7k9XHwAAQBKtW7cu5Xnjxo2rfGcS578k9gQAACRXuhlh+vTpWc2fj7lMT1Vn1gQAADIhG88bI5I5MyWxJwAASJrnnnsufvKTn0RZWVnKuP333z+uvvrqKCzM/dcHkzhb6CnzzIAAAFA5dWEOzCfPAisviT0lVf36KU6jMm/cdH9BVteGDRvigw8+SBmzzTbbZCU3AABAbbZo0aKU502bNq3ynUmc/5LYEwAAkFz9+/dPef7FF1/EkiVLspb//fffT3lenRlGT5mXjZ4AAID6JxvPGyOSOTMlsScAAEiSV155JX74wx9GaWlpyrg999wzfvvb30ZRUVGOKvtvSZwt9JR5ZkAAAEivrsyB+eRZYOUlsaeksgzqa7bbbrto1KhRheclJSUxderUrOSeMmVKrFmzpsLzRo0axbbbbpuV3AAAALXZp59+mvK8Y8eOVb4zifNfEnsCAACSq1OnTtG1a9eUMZMmTcpK7gULFsScOXNSxuy4445VvldPmZWtngAAgPonG88bI5I5MyWxJwAASIpJkybF2WefHevXr08Zt8suu8SNN94YDRs2zFFl35TE2UJPmWUGBACA9OrSHJhPngVWXhJ7SirLoL6mUaNGscMOO6SMee2117KSe8KECSnPBw8enPJLvQAAAEm0fv36mD59esqYbt26VfneJM5/SewJAABItl133TXlebpZo7omTpyY8rxnz55pH3ZXRE+Zk82eAACA+uXdd99NeV6T2SKJM1MSewIAgLru7bffjtNPPz3Wrl2bMm7HHXeMP/7xj7Xi83pJnC30lDlmQAAASK0uzoH54llg1SSxpySyDOp/7LbbbinPx48fn5W8f//731Oe77777lnJCwAAUJtNnDgx7fbyvn37VuvuJM5/SewJAABIrnSzwvPPPx9lZWUZz/v000+nPK/JDKOnzMlmTwAAQP0xc+bMmD9/fsqY6j5vjEjmzJTEngAAoC57//33Y9SoUVFSUpIybrvttovRo0dH06ZNc1RZakmcLfSUOWZAAACoWF2dA/PBs8CqS2JPSWQZ1P848MADU55PnTo1Zs+endGcH374YXz44YcVnhcUFMQBBxyQ0ZwAAAB1waOPPpryvLi4OLbbbrtq3Z3E+S+JPQEAAMm11157RZMmTSo8X7JkScZ/w9CyZcvi1VdfTRmTbrZKRU+Zke2eAACA+iPd88aIiB122KHa9ydxZkpiTwAAUFfNmDEjTj311Fi5cmXKuK233jruuOOOaN68eY4qSy+Js4WeMsMMCAAAFavLc2A+eBZYdUnsKYksg/ofPXr0iIEDB6aMueeeezKac9y4cSnPBw0aFN26dctoTgAAgNpuzpw58fe//z1lzODBg6NRo0bVuj+J818SewIAAJKrWbNmsc8++6SMyfQMc99990VpaWmF5507d46ddtqp2vfrKTOy3RMAAFA/LF++PO6///6UMT169IgePXpUO0cSZ6Yk9gQAAHXRxx9/HKecckosW7YsZVyfPn3irrvuilatWuWmsEpK4myhp8wwAwIAwKbV9Tkw1zwLrJ4k9pRElkFtwhFHHJHy/OGHH46FCxdmJNcXX3wRjz32WMqYww8/PCO5AAAA6pJf//rXUVZWljLmoIMOqlGOJM5/SewJAABIrnQzzEsvvRTTp0/PSK7Vq1enfUA9bNiwKCgoqFEePdVMrnoCAACS77rrrosVK1akjKnp88aIZM5MSewJAADqknnz5sXIkSNj8eLFKeN69uwZd911V7Rt2zZHlVVNEmcLPdWMGRAAADYtKXNgLnkWWH1J7ClpLIPahGHDhkW7du0qPF+zZk1cd911Gcn1m9/8JtatW1fhefv27WPYsGEZyQUAAFBX3HHHHfHKK6+kjGnevHkcfPDBNcqTxPkviT0BAADJtfvuu0ffvn0rPC8vL48rrrgiI7lGjx4dixYtqvC8YcOGccIJJ9Q4j55qJlc9AQAAyfb000+n/U3ADRo0iCOPPLLGuZI4MyWxJwAAqCsWLFgQI0eOjC+++CJlXNeuXWPMmDGx2Wab5aiyqkvibKGnmjEDAgDANyVpDswVzwJrJok9JY1lUJvQqFGjOPHEE1PGPProozF+/Pga5XnyySfjiSeeSBlz0kknRcOGDWuUBwAAoKamTp0aa9euzUmuRx55JH7zm9+kjRsxYkS0aNGiRrmSOP8lsScAACDZRo0alfJ88uTJcffdd9cox1tvvRW33357ypjhw4dH+/bta5TnX/RUPbnuCQAAyJ2ZM2fG8uXLc5Lrtddei/PPPz9t3IEHHhg9evTISM4kzkxJ7AkAAGq7L7/8MkaOHBlz585NGdepU6cYM2ZMdOrUKUeVVV8SZws9VY8ZEAAAvikpc6BngXVvZkpiT0liGVQFTjrppOjcuXPKmAsuuCCmTJlSrfvfeeed+NnPfpYypmvXrmm/wAsAAJALjz76aOy3334xduzYKCkpyUqO9evXx+WXXx4XXnhhlJeXp4xt37592v/hUFlJnP+S2BMAAJBc3/nOd2K77bZLGXPttdfG888/X63758yZE+eee25s2LChwphmzZrFOeecU637N0VPVZePngAAgNx59dVXY7/99oubbropli5dmpUc5eXlMXr06DjttNNi3bp1KWMbN24c5513XsZyJ3FmSmJPAABQm61YsSJOOeWUmD17dsq4Dh06xJgxY6J79+45qqxmkjhb6KnqzIAAAPBNSZoDPQusezNTEntKEsugKtCkSZO48MILU8asXr06TjnllHjhhReqdPezzz4bp556atovUF9wwQXRuHHjKt0NAACQLYsWLYrLL7889t5777jiiivigw8+yNjdkydPjhEjRsTYsWMrFf+zn/0sWrZsmZHcSZz/ktgTAACQXAUFBfGLX/wiCgoKKowpLS2NH/zgB/Hggw9W6e4333wzjj/++Fi0aFHKuLPPPjs6dOhQpbtT0VPd6AkAAMitFStWxA033BBDhw6Niy++ON58882M3T19+vT4/ve/H9ddd13KDxT/y9lnn53RD8wncWZKYk8AAFBbrV69OkaNGhXTp09PGdemTZu4++67o2fPnrkpLAOSOFvoqW70BAAAtVkS50DPAuvWzJTEnpKkoLy8vDzfRdRmP/rRj+KJJ55IGVNQUBCHHHJInHnmmdG7d+8K42bOnBk33XRTPPnkk2nzfve7341rr722yvUCAABkw+WXX77JRU09e/aMoUOHxi677BIDBw6M1q1bV/rORYsWxcSJE2PcuHExZcqUSr/uhBNOiIsvvrjS8ZWVxPkviT0BAABfef3112POnDlVes3SpUvjuuuuSxnz61//usq17LTTThn5oMH1118ft9xyS9q4PfbYI84999wYMGBAhTHz58+P2267LR588MG0D/6HDBkSd999dzRo0KDKNaejp7rREwAA1AV1fQ68++6748orr/zGn3fu3Dn22muv2H333WPQoEFV+rDv8uXLY/LkyfHnP/85XnvttUq/bp999ombb7455QebqyuJM1MSewIAgNrm9NNPr9QvdjzuuONim222yUFFX+nQoUPsvffeGbkribOFnupGTwAAUBslbQ70LPC/1aWZKYk9JYFlUGmsXr06jjjiiPj4448rFd+vX78YNGhQdOvWLZo2bRqrV6+OefPmxVtvvRUffPBBpe7o1atXPPTQQ9GsWbOalA4AAJAxFS2D+rqCgoLo3Llz9OrVK7p27Rrt27ePli1bRsOGDSPiq+3ey5Ytiy+//DLefffdKn9YPSJiv/32i9///vdRVFRUnTZSSuL8l8SeAACAr1x44YXxyCOP5LuMiIi48sor4/DDD6/xPWVlZXHSSSfF66+/Xqn4Xr16xeDBg2PzzTeP5s2bx5o1a+Lzzz+PKVOmxDvvvBOVeQzarl27eOSRR6Jjx441LX+T9FQ3egIAgLqgrs+BFX0A/H916NAhevXqFd27d4/27dtH69ato2HDhtGgQYN/P29cunRpvP/++/HRRx9Vaqb4ukGDBsXtt98ezZs3r9LrKiuJM1MSewIAgNpmn332ifnz5+e7jG8YMmRIjBs3LiN3JXG20FPd6AkAAGqjpM2BngVuWl2YmZLYUxJYBlUJ8+fPj+OOOy4+//zzrOfq0qVL3HvvvdGlS5es5wIAAKisyiyDyraDDz44rrnmmiguLs5ajiTOf0nsCQAAqPtfAq7I8uXL48QTT6z0QtqaaNmyZYwdOzbrvzVLTzWTq54AAKC2q+tzYGU/AJ5NQ4YMiT/+8Y9Z+/D3vyRxZkpiTwAAUJsk7UvAFUnibKGnmjEDAgBQXyVtDvQsMDvMgfVXYb4LqAu6du0aY8aMiR49emQ1z+abbx5jxozxpVkAAICvadCgQfzoRz+K66+/PquLoCKSOf8lsScAACC5WrVqFXfddVdsu+22Wc3Trl27uOOOO3LyMFlP1ZfLngAAgGQ74YQT4q677sr6h78jkjkzJbEnAAAg95I4W+ip+sy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      "text/plain": [
       "<Figure size 4800x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "random_trial = trials[0]\n",
    "\n",
    "random_trial.plot_waveform(figsize=(8, 3));\n",
    "random_trial.plot_sequence(figsize=(8, 2), dpi=600);"
   ]
  },
  {
   "cell_type": "raw",
   "id": "71867685-99ee-4b35-9f02-c551ce6b9a6e",
   "metadata": {
    "raw_mimetype": "text/restructuredtext",
    "tags": []
   },
   "source": [
    ".. note::\n",
    "    On your computer you can simply do ``random_trial.play()`` to listen to the sound. However, for this website we need some different code. So you can ignore the code below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "26b28902-6a1a-45da-9f34-f1b366c35f58",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
       "                    <source 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type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Audio\n",
    "Audio(random_trial.samples, rate=random_trial.fs)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "68f83f43-01b8-4cc7-9b47-9e0d043e4653",
   "metadata": {},
   "source": [
    "## Writing everything to disk\n",
    "\n",
    "To write all these files as wav files to disk, you could do:\n",
    "\n",
    "    for trial in trials:\n",
    "        trial.write_wav('output_dir')\n",
    "\n",
    "This would use the names that we gave the trials as the output filename, for instance \"2_3_170ms.wav\"."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "88f9242f-4c36-437e-9ea6-5754cfaceb7d",
   "metadata": {},
   "source": [
    "## Code summary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "df480aca-0566-46bc-b242-684f82a86e5d",
   "metadata": {},
   "outputs": [],
   "source": [
    "from thebeat.music import Rhythm\n",
    "from thebeat.core import Sequence, SoundStimulus, SoundSequence\n",
    "import numpy as np\n",
    "\n",
    "tempi = np.arange(170, 90, -10)\n",
    "\n",
    "set_a = []\n",
    "\n",
    "for tempo in tempi:\n",
    "    set_a.append(Rhythm.from_integer_ratios([2, 3, 2, 3, 2, 3], \n",
    "                                            beat_ms=tempo, \n",
    "                                            time_signature=(5, 4), \n",
    "                                            name=f\"2_3_{tempo}ms\"))\n",
    "    set_a.append(Rhythm.from_integer_ratios([3, 2, 3, 2, 3, 2], \n",
    "                                            beat_ms=tempo, \n",
    "                                            time_signature=(5, 4), \n",
    "                                            name=f\"3_2_{tempo}ms\"))\n",
    "\n",
    "stim = SoundStimulus.generate(freq=2640, duration_ms=50, offramp_ms=10)\n",
    "\n",
    "set_a_seqs = [rhythm.to_sequence() for rhythm in set_a]\n",
    "\n",
    "trials = [SoundSequence(stim, sequence, name=sequence.name) for sequence in set_a_seqs]"
   ]
  }
 ],
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