sheet_music_representations.ipynb

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      "cell_type": "markdown",
      "source": [
        "[musicinformationretrieval.com](https://musicinformationretrieval.com)"
      ],
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      },
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      "source": [
        "import IPython.display as ipd"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "p6WDdNO4ATPx"
      },
      "source": [
        "# Sheet Music Representations"
      ]
    },
    {
      "cell_type": "markdown",
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        "collapsed": true,
        "id": "UErdDR9cATPx"
      },
      "source": [
        "Music can be represented in many different ways. The printed, visual form of a musical work is called a **score** or **sheet music**. For example, here is a sheet music excerpt from Mozart Piano Sonata No. 11 K. 331:"
      ]
    },
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        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 334
        }
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          },
          "metadata": {},
          "execution_count": 2
        }
      ],
      "source": [
        "ipd.SVG(\"https://upload.wikimedia.org/wikipedia/commons/2/27/MozartExcerptK331.svg\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "id": "3iIlQjszATPz",
        "outputId": "75428b06-d981-4a0b-c693-1b1a45507aa5",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 321
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<IPython.lib.display.YouTubeVideo at 0x7f9a2537cb10>"
            ],
            "text/html": [
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              "            width=\"400\"\n",
              "            height=\"300\"\n",
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              "            frameborder=\"0\"\n",
              "            allowfullscreen\n",
              "        ></iframe>\n",
              "        "
            ],
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          },
          "metadata": {},
          "execution_count": 3
        }
      ],
      "source": [
        "ipd.YouTubeVideo('dP9KWQ8hAYk')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wbrpCu8OATPz"
      },
      "source": [
        "Sheet music consists of **notes**. A note has several properties including pitch, timbre, loudness, and duration."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "A4lpyguxATP0"
      },
      "source": [
        "**Pitch** ([Wikipedia](https://en.wikipedia.org/wiki/Pitch_(music)) is a perceptual property that indicates how \"high\" or \"low\" a note sounds. Pitch is closely related to the fundamental frequency sounded by the note, although fundamental frequency is a physical property of the sound wave."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "doRw3PYxATP1"
      },
      "source": [
        "An **octave** ([Wikipedia](https://en.wikipedia.org/wiki/Octave)) is an interval between two notes where the higher note is twice the fundamental frequency of the lower note. For example, an A at 440 Hz and an A at 880 Hz are separated by one octave. Here are two Cs separated by one octave:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "id": "tNSbzVqkATP1",
        "outputId": "28b7bcf2-2b6e-4660-afec-a3cc580dffd5",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 269
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<IPython.core.display.Image object>"
            ],
            "image/png": 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OdexyG5gGMo9shKU0Zzbs9/Ltrihv3yF0iQscTFaaBlIjk2yEo33ObMy1GY8rnrv3n53EQTbUyvE5enC1zbhB8ZyYQjaK6Vm0sqMH062ma4HGgmzow0YjJwc2s5n2AsaRDY3Y6OHkwNFWyzURiDxENjRiY4GD/ypblzEz6xbXVAHZKCY2smLV/vvAajgYqOOGl8Ge8lV2djSbJVnF8R02PN2nRKOrdXfd3Aj4VrhhuJPPN3lraKNk1J5shKdtJRRodLIegTE/EnjIFcPNlrc9o7WT2Rnp5Xwp2QhTA2xkRD+bbbFZFA20y3LHeCeZrvVDJ7MQQk0F2QhTx6xTHLfZ1uEnxgBt3DLznHW9fLElN6utjgSW8VFiOdkIW4siTXvMbXPlGYkAWrnnyJSMePl662QojaY4P1WTjSJoWuDeHNNi2BIrA/mzqwL4l5sO/NxVVYajbprqy6VOoFvrzT0X4XX9DQBAvf9m23pypyYAiJvlriHvby3DUdN+vkfug4FkimmCbFyYFlQCgNLdl5rPi902tgYAdHJdna/8sVHyFrUxlo3PO5r6e9qlCbJxoTrg3xtY7fF3F20/JURO2g9zk6sDAP7uyipfO5OjJTqaTA+9ROVtfLmU0dpyvu45kBdnCjh/XtOQqytWDG7jv/9Ht447fYi8aTiu18gZn059c8xTbf0TvWV6bRLa66ItDyxLstS5j+sy8YCbR5733dCG6hn/xk99y6NexEWt25Oz6vnbm1SPQWytGxJ7jt+cfwmM/sDicX2bVw0kxZYoXztx0HsrjpCKi85G4Cn/0nNC7tG9qXt/yyINfzYbFNmgyAZFNiiKbFBkgyIbFNmgyAZFNiiyQZENimxQZIMiGxRFNiiyQZENimxQZINyk/4PftNwSud7+64AAAAASUVORK5CYII=\n"
          },
          "metadata": {},
          "execution_count": 4
        }
      ],
      "source": [
        "ipd.Image(\"https://upload.wikimedia.org/wikipedia/commons/a/a5/Perfect_octave_on_C.png\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qjzcEegFATP2"
      },
      "source": [
        "A **pitch class** ([Wikipedia](https://en.wikipedia.org/wiki/Pitch_class)) is the set of all notes that are an integer number of octaves apart. For example, the set of all Cs, {..., C1, C2, ...} is one pitch class, and the set of all Ds, {..., D1, D2, ...} is another pitch class. Here is the pitch class for C:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "id": "rnbfJgiqATP2",
        "outputId": "d7db1e31-28cc-4b08-94f5-372010c1bb3a",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 257
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<IPython.core.display.Image object>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 5
        }
      ],
      "source": [
        "ipd.Image(\"https://upload.wikimedia.org/wikipedia/commons/thumb/9/98/Pitch_class_on_C.png/187px-Pitch_class_on_C.png\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KNnBdBKNATP3"
      },
      "source": [
        "**Equal temperament** ([Wikipedia](https://en.wikipedia.org/wiki/Equal_temperament)) refers to the standard practice of dividing the octave into 12 uniform scale steps."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FiYRZBMWATP3"
      },
      "source": [
        "The difference between two subsequent scale steps is called a **semitone** ([Wikipedia](https://en.wikipedia.org/wiki/Semitone)), the smallest possible interval in the 12-tone equal tempered scale. Musicians may know this as a \"half step.\""
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7rjsHfI8ATP3"
      },
      "source": [
        "The **key signature** ([Wikipedia](https://en.wikipedia.org/wiki/Key_signature)) follows the clef on a staff and indicates the key of the piece by the sharps or flats which are present throughout the piece. In the Mozart sonata excerpt above, the key signature is A major."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OfdnT-6RATP4"
      },
      "source": [
        "The **time signature** ([Wikipedia](https://en.wikipedia.org/wiki/Time_signature)) follows the key signature on the staff and indicates the rhythmic structure, or meter, of the piece. In the Mozart sonata excerpt above, the time signature is 6/8, i.e. six eighth notes in one measure."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-LGfqwQpATP4"
      },
      "source": [
        "**Tempo** ([Wikipedia](https://en.wikipedia.org/wiki/Tempo)) denotes how slow or fast a piece is played as measured by beats per minute (BPM). In the Mozart sonata excerpt above, the tempo marking is \"Andante grazioso\"."
      ]
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python 2",
      "language": "python",
      "name": "python2"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 2
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython2",
      "version": "2.7.13"
    },
    "colab": {
      "name": "sheet_music_representations.ipynb",
      "provenance": []
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}