{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "343bbbbc",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format='retina'\n",
    "\n",
    "import omusic\n",
    "import omusic.chord as chord\n",
    "import omusic.modes as modes"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "619e637f",
   "metadata": {},
   "source": [
    "# Visualising Notes\n",
    "\n",
    "OMusic comes with utilities that visualise notes on a fretboard. These can be found in `omusic.guitar`.\n",
    "\n",
    "First, let's draw an empty fretboard."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2366213d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1300x340 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 281,
       "width": 1027
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import omusic.guitar as guitar\n",
    "from omusic.guitar import draw_scale\n",
    "\n",
    "draw_scale(omusic.NOTES, capo=0, width=13)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2634e284",
   "metadata": {},
   "source": [
    "Let's visualise some notes next. By default, the visualiser shows all notes in the same class -- for example, drawing $C_5$ draws $C_4$ and $C_6$ as well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0acc86b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2000x340 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 281,
       "width": 1570
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_scale(chord.seventh(\"C5\", modes.MAJOR_BLUES), 0, 20)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dbc3f84e",
   "metadata": {},
   "source": [
    "Try a blues triad next!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d196c83b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2000x340 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 281,
       "width": 1570
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_scale(chord.triad(\"C5\", modes.MAJOR_BLUES), 0, 20)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a9c4a87f",
   "metadata": {},
   "source": [
    "## Strict Mode\n",
    "\n",
    "To only draw notes on specific octaves, use `strict=True`.\n",
    "\n",
    "Up to the 12th fret, the guitar can play notes from E4 (52 in the MIDI standard) to E7 (88 in the MIDI standard), so let's try the $C_5$ major."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d52e411b",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1900x340 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 281,
       "width": 1492
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_scale(chord.triad(\"C5\", modes.MAJOR), 0, 19, strict=True)"
   ]
  }
 ],
 "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": "3.12.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}