Circle of Fifths Test.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "1f3df360",
   "metadata": {},
   "source": [
    "# Notes with different names in the Circle of Fifths\n",
    "\n",
    "The Circle of Fifths is usually constructed with sharps where needed on the right side and flats on the left side. In order to get these keys by raising by a fifth one has to start with D flat as the seventh note like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2182c09d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 49,
       "width": 748
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "                <div id='midiPlayerDiv852'></div>\n",
       "                <link rel=\"stylesheet\" href=\"//cuthbertLab.github.io/music21j/css/m21.css\"\n",
       "                    type=\"text/css\" />\n",
       "                \n",
       "                <script>\n",
       "                require.config({\n",
       "                    paths: {'music21': '//cuthbertLab.github.io/music21j/src/music21'}\n",
       "                });\n",
       "                require(['music21'], function() {\n",
       "                               mp = new music21.miditools.MidiPlayer();\n",
       "                               mp.addPlayer('#midiPlayerDiv852');\n",
       "                               mp.base64Load('data:audio/midi;base64,TVRoZAAAAAYAAQACBABNVHJrAAAAFAD/UQMHoSAA/1gEBAIYCIgA/y8ATVRyawAAAHoA/wMAAOAAQIgAkDxaoACAPAAAkENaoACAQwAAkD5aoACAPgAAkEVaoACARQAAkEBaoACAQAAAkEdaoACARwAAkEJaoACAQgAAkD1aoACAPQAAkERaoACARAAAkD9aoACAPwAAkEZaoACARgAAkEFaoACAQQCIAP8vAA==');\n",
       "                        });\n",
       "                </script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from music21.note import Note\n",
    "from music21.stream import Stream\n",
    "\n",
    "base_note = Note('C4', quarterLength=4)\n",
    "notes = [base_note]\n",
    "for i in range(6):\n",
    "    new_note = base_note.transpose('P5')\n",
    "    while new_note.octave > 4:\n",
    "        new_note = new_note.transpose('P-8')\n",
    "    notes.append(new_note)\n",
    "    base_note = new_note\n",
    "base_note = Note('D4-', quarterLength=4)\n",
    "notes.append(base_note)\n",
    "for i in range(4):\n",
    "    new_note = base_note.transpose('P5')\n",
    "    while new_note.octave > 4:\n",
    "        new_note = new_note.transpose('P-8')\n",
    "    notes.append(new_note)\n",
    "    base_note = new_note\n",
    "s = Stream(notes)\n",
    "s.show()\n",
    "s.show('midi')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e46d170",
   "metadata": {},
   "source": [
    "In the code this looks like something not very elegant. One should be able to calculate the Circle of Fifths by just adding a fifth by each step like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e0135e93",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 56,
       "width": 748
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "                <div id='midiPlayerDiv1604'></div>\n",
       "                <link rel=\"stylesheet\" href=\"//cuthbertLab.github.io/music21j/css/m21.css\"\n",
       "                    type=\"text/css\" />\n",
       "                \n",
       "                <script>\n",
       "                require.config({\n",
       "                    paths: {'music21': '//cuthbertLab.github.io/music21j/src/music21'}\n",
       "                });\n",
       "                require(['music21'], function() {\n",
       "                               mp = new music21.miditools.MidiPlayer();\n",
       "                               mp.addPlayer('#midiPlayerDiv1604');\n",
       "                               mp.base64Load('data:audio/midi;base64,TVRoZAAAAAYAAQACBABNVHJrAAAAFAD/UQMHoSAA/1gEBAIYCIgA/y8ATVRyawAAAHEA/wMAAOAAQIgAkDxaoACAPAAAkENaoACAQwAAkD5aoACAPgAAkEVaoACARQAAkEBaoACAQAAAkEdaoACARwAAkEJaoACAQgAAkD1aoACAPQAAkERaoACARAAAkD9aoACAPwAAkEZaoACARgCIAP8vAA==');\n",
       "                        });\n",
       "                </script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "base_note = Note('C4', quarterLength=4)\n",
    "notes = [base_note]\n",
    "for i in range(10):\n",
    "    new_note = base_note.transpose('P5')\n",
    "    while new_note.octave > 4:\n",
    "        new_note = new_note.transpose('P-8')\n",
    "    notes.append(new_note)\n",
    "    base_note = new_note\n",
    "s2 = Stream(notes)\n",
    "s2.show()\n",
    "s2.show('midi')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c03a4b47",
   "metadata": {},
   "source": [
    "This certainliy sounds like the Circle of Fifths but the notation only uses sharps. With sharps instead of flats the notation looks quite different. Does the differing notation mean that the notes are different? Let's hear:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d63f4a8c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 184,
       "width": 753
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "                <div id='midiPlayerDiv3841'></div>\n",
       "                <link rel=\"stylesheet\" href=\"//cuthbertLab.github.io/music21j/css/m21.css\"\n",
       "                    type=\"text/css\" />\n",
       "                \n",
       "                <script>\n",
       "                require.config({\n",
       "                    paths: {'music21': '//cuthbertLab.github.io/music21j/src/music21'}\n",
       "                });\n",
       "                require(['music21'], function() {\n",
       "                               mp = new music21.miditools.MidiPlayer();\n",
       "                               mp.addPlayer('#midiPlayerDiv3841');\n",
       "                               mp.base64Load('data:audio/midi;base64,TVRoZAAAAAYAAQACBABNVHJrAAAAFAD/UQMHoSAA/1gEBAIYCIgA/y8ATVRyawAAANQA/wMAAOAAQIgAkDxaoACAPAAAkDxaoACAPAAAkENaoACAQwAAkENaoACAQwAAkD5aoACAPgAAkD5aoACAPgAAkEVaoACARQAAkEVaoACARQAAkEBaoACAQAAAkEBaoACAQAAAkEdaoACARwAAkEdaoACARwAAkEJaoACAQgAAkEJaoACAQgAAkD1aoACAPQAAkD1aoACAPQAAkERaoACARAAAkERaoACARAAAkD9aoACAPwAAkD9aoACAPwAAkEZaoACARgAAkEZaoACARgCIAP8vAA==');\n",
       "                        });\n",
       "                </script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s3 = Stream()\n",
    "for i in range(11):\n",
    "    s3.append(s.notes[i])\n",
    "    s3.append(s2.notes[i])\n",
    "s3.show()\n",
    "s3.show('midi')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a6d1fa00",
   "metadata": {},
   "source": [
    "Did you hear any difference?\n",
    "\n",
    "Comparing the notes one to one by ear the pairs sound exactly the same. This shows that there are different ways to write the same note.\n",
    "\n",
    "One could write all notes by only using sharps or only using flats. However you would need 11 shaprs for a song in D minor while a sigle flat would be enough. With G major or E minor it is the other way around: 1 sharp or 11 flats.\n",
    "\n",
    "While producing notes with exactly the same pitch music21 saves and shows the ambiguous notes with sharps and a one higher note with flat differently. In order to still get the notation usually used with the Circle of Fifths it is better to calculate the notes in two parts with the second part stating with D flat."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "97c44f87",
   "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": "3.10.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}