{
  "meta": {
    "version": 1,
    "description": "Laegna / Waveweaver complete number system"
  },
  "chapters": [
    {
      "R": 0.5,
      "base": 2,
      "special": "binary",
      "Bounds": {
        "bounded": 6,
        "full": 2,
        "half": 1
      },
      "numbers": [
        {
          "Decimal": {
            "Num": "0",
            "Signed": "-inf",
            "Hex": "0",
            "Bin": "0",
            "Laegna": "W",
            "Wave": "W"
          },
          "Wave": {
            "Bin": "W"
          },
          "Laegna": {
            "Bin": "W"
          },
          "Float": {
            "Num": "0%",
            "Value": {
              "Percents": "0.0%",
              "Units": 0.0
            },
            "Signed": {
              "Percents": "-200.0%",
              "Units": -2.0
            }
          },
          "Octave": {
            "Num": 0,
            "Lower": {
              "Num": 0,
              "Signed": -0.5,
              "D": 0,
              "sD": -1
            },
            "Higher": {
              "Num": 0,
              "Signed": -0.25
            }
          }
        },
        {
          "Decimal": {
            "Num": "1",
            "Signed": "-1",
            "Hex": "1",
            "Bin": "1",
            "Laegna": "O",
            "Wave": "O"
          },
          "Wave": {
            "Bin": "O"
          },
          "Laegna": {
            "Bin": "O"
          },
          "Float": {
            "Num": "0%",
            "Value": {
              "Percents": "0.0%",
              "Units": 0.0
            },
            "Signed": {
              "Percents": "-200.0%",
              "Units": -2.0
            }
          },
          "Octave": {
            "Num": 0.5,
            "Lower": {
              "Num": 0.5,
              "Signed": -0.5,
              "D": 1,
              "sD": -1
            },
            "Higher": {
              "Num": 0.25,
              "Signed": -0.25
            }
          }
        },
        {
          "Decimal": {
            "Num": 1.5,
            "Signed": "-0",
            "Hex": null,
            "Bin": null,
            "Laegna": "V",
            "Wave": "V"
          },
          "Wave": {
            "Bin": "V"
          },
          "Laegna": {
            "Bin": "V"
          },
          "Float": {
            "Num": "50%",
            "Value": {
              "Percents": "50.0%",
              "Units": 0.5
            },
            "Signed": {
              "Percents": "0.0%",
              "Units": 0.0
            }
          },
          "Octave": {
            "Num": 0.5,
            "Lower": {
              "Num": 0.5,
              "Signed": 0,
              "D": 1,
              "sD": 0
            },
            "Higher": {
              "Num": 0.25,
              "Signed": 0
            }
          }
        },
        {
          "Decimal": {
            "Num": 1.5,
            "Signed": "+0",
            "Hex": null,
            "Bin": null,
            "Laegna": "U",
            "Wave": "U"
          },
          "Wave": {
            "Bin": "U"
          },
          "Laegna": {
            "Bin": "U"
          },
          "Float": {
            "Num": "50%",
            "Value": {
              "Percents": "50.0%",
              "Units": 0.5
            },
            "Signed": {
              "Percents": "0.0%",
              "Units": 0.0
            }
          },
          "Octave": {
            "Num": 1,
            "Lower": {
              "Num": 1,
              "Signed": 0,
              "D": 2,
              "sD": 0
            },
            "Higher": {
              "Num": 0.25,
              "Signed": 0
            }
          }
        },
        {
          "Decimal": {
            "Num": "2",
            "Signed": "+1",
            "Hex": "2",
            "Bin": "10",
            "Laegna": "A",
            "Wave": "A"
          },
          "Wave": {
            "Bin": "A"
          },
          "Laegna": {
            "Bin": "A"
          },
          "Float": {
            "Num": "100%",
            "Value": {
              "Percents": "100.0%",
              "Units": 1.0
            },
            "Signed": {
              "Percents": "200.0%",
              "Units": 2.0
            }
          },
          "Octave": {
            "Num": 1,
            "Lower": {
              "Num": 1,
              "Signed": 0.5,
              "D": 2,
              "sD": 1
            },
            "Higher": {
              "Num": 0.25,
              "Signed": 0.25
            }
          }
        },
        {
          "Decimal": {
            "Num": "2inf",
            "Signed": "+inf",
            "Hex": null,
            "Bin": null,
            "Laegna": "\u2229",
            "Wave": "\u2229"
          },
          "Wave": {
            "Bin": "\u2229"
          },
          "Laegna": {
            "Bin": "\u2229"
          },
          "Float": {
            "Num": "100%",
            "Value": {
              "Percents": "100.0%",
              "Units": 1.0
            },
            "Signed": {
              "Percents": "200.0%",
              "Units": 2.0
            }
          },
          "Octave": {
            "Num": 1,
            "Lower": {
              "Num": 1,
              "Signed": 0.5,
              "D": 2,
              "sD": 1
            },
            "Higher": {
              "Num": 0.25,
              "Signed": 0.25
            }
          }
        }
      ]
    },
    {
      "R": 1,
      "base": 4,
      "Bounds": {
        "bounded": 8,
        "full": 4,
        "half": 2.0
      },
      "numbers": [
        {
          "Decimal": {
            "Num": "0",
            "Signed": "-inf",
            "Hex": "0",
            "Bin": "0",
            "Laegna": "W",
            "Wave": "W"
          },
          "Wave": {
            "Num": "W",
            "Hex": null,
            "Bin": "WW"
          },
          "Laegna": {
            "Num": "W",
            "Hex": null,
            "Bin": "WW"
          },
          "Float": {
            "Num": "0%",
            "Value": {
              "Percents": "0.0%",
              "Units": 0.0
            },
            "Signed": {
              "Percents": "-200.0%",
              "Units": -2.0
            }
          },
          "Octave": {
            "Num": 0,
            "Lower": {
              "Num": 0,
              "Signed": -1,
              "D": 0,
              "sD": -2
            },
            "Higher": {
              "Num": 0,
              "Signed": -0.25
            }
          }
        },
        {
          "Decimal": {
            "Num": "1",
            "Signed": "-8",
            "Hex": "1",
            "Bin": "1",
            "Laegna": "I",
            "Wave": "I"
          },
          "Wave": {
            "Num": "I",
            "Digits": [
              0
            ],
            "Hex": null,
            "Bin": "OO"
          },
          "Laegna": {
            "Num": "I",
            "Digits": [
              0
            ],
            "Hex": null,
            "Bin": "OO"
          },
          "Float": {
            "Num": "0%",
            "Value": {
              "Percents": "0.0%",
              "Units": 0.0
            },
            "Signed": {
              "Percents": "-800.0%",
              "Units": -8.0
            }
          },
          "Octave": {
            "Num": 0.5,
            "Lower": {
              "Num": 0.5,
              "Signed": -3,
              "D": 1,
              "sD": -8
            },
            "Higher": {
              "Num": 0.25,
              "Signed": -2
            }
          }
        },
        {
          "Decimal": {
            "Num": "2",
            "Signed": "-7",
            "Hex": "2",
            "Bin": "10",
            "Laegna": "O",
            "Wave": "O"
          },
          "Wave": {
            "Num": "O",
            "Digits": [
              1
            ],
            "Hex": null,
            "Bin": "OA"
          },
          "Laegna": {
            "Num": "O",
            "Digits": [
              1
            ],
            "Hex": null,
            "Bin": "OA"
          },
          "Float": {
            "Num": "25%",
            "Value": {
              "Percents": "25.0%",
              "Units": 0.25
            },
            "Signed": {
              "Percents": "-700.0%",
              "Units": -7.0
            }
          },
          "Octave": {
            "Num": 1,
            "Lower": {
              "Num": 1,
              "Signed": -3,
              "D": 2,
              "sD": -7
            },
            "Higher": {
              "Num": 0.25,
              "Signed": -2
            }
          }
        },
        {
          "Decimal": {
            "Num": 2.5,
            "Signed": "-0",
            "Hex": null,
            "Bin": null,
            "Laegna": "V",
            "Wave": "V"
          },
          "Wave": {
            "Num": "V",
            "Hex": null,
            "Bin": "VV"
          },
          "Laegna": {
            "Num": "V",
            "Hex": null,
            "Bin": "VV"
          },
          "Float": {
            "Num": "50%",
            "Value": {
              "Percents": "50.0%",
              "Units": 0.5
            },
            "Signed": {
              "Percents": "0.0%",
              "Units": 0.0
            }
          },
          "Octave": {
            "Num": 1,
            "Lower": {
              "Num": 1,
              "Signed": 0,
              "D": 2,
              "sD": 0
            },
            "Higher": {
              "Num": 0.25,
              "Signed": 0
            }
          }
        },
        {
          "Decimal": {
            "Num": 2.5,
            "Signed": "+0",
            "Hex": null,
            "Bin": null,
            "Laegna": "U",
            "Wave": "U"
          },
          "Wave": {
            "Num": "U",
            "Hex": null,
            "Bin": "UU"
          },
          "Laegna": {
            "Num": "U",
            "Hex": null,
            "Bin": "UU"
          },
          "Float": {
            "Num": "50%",
            "Value": {
              "Percents": "50.0%",
              "Units": 0.5
            },
            "Signed": {
              "Percents": "0.0%",
              "Units": 0.0
            }
          },
          "Octave": {
            "Num": 2,
            "Lower": {
              "Num": 2,
              "Signed": 0,
              "D": 3,
              "sD": 0
            },
            "Higher": {
              "Num": 0.5,
              "Signed": 0
            }
          }
        },
        {
          "Decimal": {
            "Num": "3",
            "Signed": "+1",
            "Hex": "3",
            "Bin": "11",
            "Laegna": "A",
            "Wave": "A"
          },
          "Wave": {
            "Num": "A",
            "Digits": [
              2
            ],
            "Hex": null,
            "Bin": "AO"
          },
          "Laegna": {
            "Num": "A",
            "Digits": [
              2
            ],
            "Hex": null,
            "Bin": "AO"
          },
          "Float": {
            "Num": "75%",
            "Value": {
              "Percents": "75.0%",
              "Units": 0.75
            },
            "Signed": {
              "Percents": "100.0%",
              "Units": 1.0
            }
          },
          "Octave": {
            "Num": 2,
            "Lower": {
              "Num": 2,
              "Signed": 0.5,
              "D": 3,
              "sD": 1
            },
            "Higher": {
              "Num": 0.5,
              "Signed": 0.25
            }
          }
        },
        {
          "Decimal": {
            "Num": "4",
            "Signed": "+2",
            "Hex": "4",
            "Bin": "100",
            "Laegna": "E",
            "Wave": "E"
          },
          "Wave": {
            "Num": "E",
            "Digits": [
              3
            ],
            "Hex": null,
            "Bin": "AA"
          },
          "Laegna": {
            "Num": "E",
            "Digits": [
              3
            ],
            "Hex": null,
            "Bin": "AA"
          },
          "Float": {
            "Num": "100%",
            "Value": {
              "Percents": "100.0%",
              "Units": 1.0
            },
            "Signed": {
              "Percents": "200.0%",
              "Units": 2.0
            }
          },
          "Octave": {
            "Num": 2,
            "Lower": {
              "Num": 2,
              "Signed": 1,
              "D": 4,
              "sD": 2
            },
            "Higher": {
              "Num": 1,
              "Signed": 0.25
            }
          }
        },
        {
          "Decimal": {
            "Num": "2inf",
            "Signed": "+inf",
            "Hex": null,
            "Bin": null,
            "Laegna": "\u2229",
            "Wave": "\u2229"
          },
          "Wave": {
            "Num": "\u2229",
            "Hex": null,
            "Bin": "\u2229\u2229"
          },
          "Laegna": {
            "Num": "\u2229",
            "Hex": null,
            "Bin": "\u2229\u2229"
          },
          "Float": {
            "Num": "100%",
            "Value": {
              "Percents": "100.0%",
              "Units": 1.0
            },
            "Signed": {
              "Percents": "200.0%",
              "Units": 2.0
            }
          },
          "Octave": {
            "Num": 2,
            "Lower": {
              "Num": 2,
              "Signed": 1,
              "D": 4,
              "sD": 2
            },
            "Higher": {
              "Num": 1,
              "Signed": 0.25
            }
          }
        }
      ]
    },
    {
      "R": 2,
      "base": 4,
      "Bounds": {
        "bounded": 20,
        "full": 16,
        "half": 8.0
      },
      "numbers": [
        {
          "Decimal": {
            "Num": "0",
            "Signed": "-inf",
            "Hex": "0",
            "Bin": "0",
            "Laegna": "WW",
            "Wave": "WW"
          },
          "Wave": {
            "Num": "WW",
            "Hex": "W",
            "Bin": "WWWW"
          },
          "Laegna": {
            "Num": "WW",
            "Hex": "W",
            "Bin": "WWWW"
          },
          "Float": {
            "Num": "0%",
            "Value": {
              "Percents": "0.0%",
              "Units": 0.0
            },
            "Signed": {
              "Percents": "-200.0%",
              "Units": -2.0
            }
          },
          "Octave": {
            "Num": 0,
            "Lower": {
              "Num": 0,
              "Signed": -3,
              "D": 0,
              "sD": -8
            },
            "Higher": {
              "Num": 0,
              "Signed": -2
            }
          }
        },
        {
          "Decimal": {
            "Num": "1",
            "Signed": "-8",
            "Hex": "1",
            "Bin": "1",
            "Laegna": "II",
            "Wave": "II"
          },
          "Wave": {
            "Num": "II",
            "Digits": [
              0,
              0
            ],
            "Hex": "K",
            "Bin": "OOOO"
          },
          "Laegna": {
            "Num": "II",
            "Digits": [
              0,
              0
            ],
            "Hex": "K",
            "Bin": "OOOO"
          },
          "Float": {
            "Num": "0%",
            "Value": {
              "Percents": "0.0%",
              "Units": 0.0
            },
            "Signed": {
              "Percents": "-200.0%",
              "Units": -2.0
            }
          },
          "Octave": {
            "Num": 0.5,
            "Lower": {
              "Num": 0.5,
              "Signed": -3,
              "D": 1,
              "sD": -8
            },
            "Higher": {
              "Num": 0.25,
              "Signed": -2
            }
          }
        },
        {
          "Decimal": {
            "Num": "2",
            "Signed": "-7",
            "Hex": "2",
            "Bin": "10",
            "Laegna": "IO",
            "Wave": "IO"
          },
          "Wave": {
            "Num": "IO",
            "Digits": [
              0,
              1
            ],
            "Hex": "J",
            "Bin": "OOOA"
          },
          "Laegna": {
            "Num": "IO",
            "Digits": [
              0,
              1
            ],
            "Hex": "J",
            "Bin": "OOOA"
          },
          "Float": {
            "Num": "6%",
            "Value": {
              "Percents": "6.25%",
              "Units": 0.0625
            },
            "Signed": {
              "Percents": "-175.0%",
              "Units": -1.75
            }
          },
          "Octave": {
            "Num": 1,
            "Lower": {
              "Num": 1,
              "Signed": -3,
              "D": 2,
              "sD": -7
            },
            "Higher": {
              "Num": 0.25,
              "Signed": -2
            }
          }
        },
        {
          "Decimal": {
            "Num": "3",
            "Signed": "-6",
            "Hex": "3",
            "Bin": "11",
            "Laegna": "IA",
            "Wave": "IA"
          },
          "Wave": {
            "Num": "IA",
            "Digits": [
              0,
              2
            ],
            "Hex": "I",
            "Bin": "OOAO"
          },
          "Laegna": {
            "Num": "IA",
            "Digits": [
              0,
              2
            ],
            "Hex": "I",
            "Bin": "OOAO"
          },
          "Float": {
            "Num": "12%",
            "Value": {
              "Percents": "12.5%",
              "Units": 0.125
            },
            "Signed": {
              "Percents": "-150.0%",
              "Units": -1.5
            }
          },
          "Octave": {
            "Num": 2,
            "Lower": {
              "Num": 2,
              "Signed": -3,
              "D": 3,
              "sD": -6
            },
            "Higher": {
              "Num": 0.5,
              "Signed": -2
            }
          }
        },
        {
          "Decimal": {
            "Num": "4",
            "Signed": "-5",
            "Hex": "4",
            "Bin": "100",
            "Laegna": "IE",
            "Wave": "IE"
          },
          "Wave": {
            "Num": "IE",
            "Digits": [
              0,
              3
            ],
            "Hex": "L",
            "Bin": "OOAA"
          },
          "Laegna": {
            "Num": "IE",
            "Digits": [
              0,
              3
            ],
            "Hex": "L",
            "Bin": "OOAA"
          },
          "Float": {
            "Num": "18%",
            "Value": {
              "Percents": "18.75%",
              "Units": 0.1875
            },
            "Signed": {
              "Percents": "-125.0%",
              "Units": -1.25
            }
          },
          "Octave": {
            "Num": 2,
            "Lower": {
              "Num": 2,
              "Signed": -3,
              "D": 4,
              "sD": -5
            },
            "Higher": {
              "Num": 1,
              "Signed": -2
            }
          }
        },
        {
          "Decimal": {
            "Num": "5",
            "Signed": "-4",
            "Hex": "5",
            "Bin": "101",
            "Laegna": "OI",
            "Wave": "OA"
          },
          "Wave": {
            "Num": "OA",
            "Digits": [
              1,
              2
            ],
            "Hex": "O",
            "Bin": "OAAO"
          },
          "Laegna": {
            "Num": "OI",
            "Digits": [
              1,
              0
            ],
            "Hex": "Q",
            "Bin": "OAOO"
          },
          "Float": {
            "Num": "25%",
            "Value": {
              "Percents": "25.0%",
              "Units": 0.25
            },
            "Signed": {
              "Percents": "-100.0%",
              "Units": -1.0
            }
          },
          "Octave": {
            "Num": 3,
            "Lower": {
              "Num": 3,
              "Signed": -2,
              "D": 5,
              "sD": -4
            },
            "Higher": {
              "Num": 2,
              "Signed": -1
            }
          }
        },
        {
          "Decimal": {
            "Num": "6",
            "Signed": "-3",
            "Hex": "6",
            "Bin": "110",
            "Laegna": "OO",
            "Wave": "OI"
          },
          "Wave": {
            "Num": "OI",
            "Digits": [
              1,
              0
            ],
            "Hex": "Q",
            "Bin": "OAOO"
          },
          "Laegna": {
            "Num": "OO",
            "Digits": [
              1,
              1
            ],
            "Hex": "P",
            "Bin": "OAOA"
          },
          "Float": {
            "Num": "31%",
            "Value": {
              "Percents": "31.25%",
              "Units": 0.3125
            },
            "Signed": {
              "Percents": "-75.0%",
              "Units": -0.75
            }
          },
          "Octave": {
            "Num": 3,
            "Lower": {
              "Num": 3,
              "Signed": -2,
              "D": 6,
              "sD": -3
            },
            "Higher": {
              "Num": 2,
              "Signed": -0.5
            }
          }
        },
        {
          "Decimal": {
            "Num": "7",
            "Signed": "-2",
            "Hex": "7",
            "Bin": "111",
            "Laegna": "OA",
            "Wave": "OE"
          },
          "Wave": {
            "Num": "OE",
            "Digits": [
              1,
              3
            ],
            "Hex": "P",
            "Bin": "OAAA"
          },
          "Laegna": {
            "Num": "OA",
            "Digits": [
              1,
              2
            ],
            "Hex": "O",
            "Bin": "OAAO"
          },
          "Float": {
            "Num": "37%",
            "Value": {
              "Percents": "37.5%",
              "Units": 0.375
            },
            "Signed": {
              "Percents": "-50.0%",
              "Units": -0.5
            }
          },
          "Octave": {
            "Num": 3,
            "Lower": {
              "Num": 3,
              "Signed": -1,
              "D": 7,
              "sD": -2
            },
            "Higher": {
              "Num": 2,
              "Signed": -0.25
            }
          }
        },
        {
          "Decimal": {
            "Num": "8",
            "Signed": "-1",
            "Hex": "8",
            "Bin": "1000",
            "Laegna": "OE",
            "Wave": "OO"
          },
          "Wave": {
            "Num": "OO",
            "Digits": [
              1,
              1
            ],
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            "Wave": "EEEO"
          },
          "Wave": {
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              3,
              3,
              1
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            "Bin": "AAAAAAOA"
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              3,
              3,
              3,
              1
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            "Hex": "FF",
            "Bin": "AAAAAAOA"
          },
          "Float": {
            "Num": "99%",
            "Value": {
              "Percents": "99.21875%",
              "Units": 0.9921875
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            "Signed": {
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              "Units": 1.96875
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          "Octave": {
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              "Signed": 3
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          }
        },
        {
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            "Wave": "EEEA"
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              3,
              3,
              2
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              3,
              3,
              2
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              "Units": 0.99609375
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              "Signed": 3
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            "Wave": "EEEE"
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          "Wave": {
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              3,
              3,
              3
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              3,
              3,
              3
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              "Units": 1.0
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  ]
}