Slopes are in percentages (decimal format), and the rest are lengths in relation to a run of 1 shaku. Conversions can be made easily as all lengths are percentages of 1 shaku, and as such, are not necessarily units of measure but can be treated as ratios against unity. For example, 1.0770 under the highlighted hypotenuse column is the hypotenuse of a 40 percent slope (0.40; 四寸勾配) with 1 as its run (adjacent leg). Angles are in degrees-minutes. Divide the second half of the angle by 60 minutes to get the decimal.

(If viewing from a smart phone or small screen and the table cuts out of the screen to the right, rotate 90 degrees to a ‘landscape’ orientation.)

Roof slope – 平勾配 | Angle – 角度 | Hypotenuse – 玄 | Altitude – 中勾 | Long Hypo. – 長玄 | Short Hypo. – 短玄 | 2nd Altitude – 欠勾 | Hip Hypo. – 隅玄 | Hip Altitude – 隅中勾 | Hip Slope – 隅勾配 |

0.10 | 5°-52′ | 1.0049 | 0.0995 | 0.9950 | 0.0100 | 0.0990 | 1.4177 | 1.0706 | 0.0707 |

0.20 | 11°-19′ | 1.0198 | 0.1961 | 0.9806 | 0.0392 | 0.1924 | 1.4283 | 0.1400 | 0.1414 |

0.25 | 14°-02′ | 1.0308 | 0.2425 | 0.9701 | 0.0606 | 0.2353 | 1.4361 | 0.1792 | 0.1768 |

0.30 | 16°-42′ | 1.0440 | 0.2874 | 0.9579 | 0.0862 | 0.2753 | 1.4475 | 0.2059 | 0.2121 |

0.35 | 19°-16′ | 1.0595 | 0.3303 | 0.9438 | 0.1156 | 0.3118 | 1.4569 | 0.2381 | 0.2475 |

0.40 | 21°-48′ | 1.0770 | 0.3714 | 0.9285 | 0.1486 | 0.3448 | 1.4697 | 0.2695 | 0.2828 |

0.45 | 24°-13′ | 1.0964 | 0.4104 | 0.9118 | 0.1846 | 0.3742 | 1.4841 | 0.3032 | 0.3182 |

0.50 | 26°-34′ | 1.1180 | 0.4472 | 0.8945 | 0.2236 | 0.4000 | 1.5000 | 0.3333 | 0.3536 |

055 | 28°-48′ | 1.1413 | 0.4819 | 0.8762 | 0.2650 | 0.4222 | 1.5174 | 0.3625 | 0.3889 |

0.60 | 30°-58′ | 1.1662 | 0.5145 | 0.8575 | 0.3087 | 0.4412 | 1.5362 | 0.8906 | 0.4243 |