利用者:Tessyrrh1016/sandbox
サンドボックスです。実験用。
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以下の表は、311平均律で41奇数リミット音程がどのように表されるかを示している。素数倍音は太字で示す。
311平均律は41奇数リミットにおいて一貫的であるため、直接近似とパテントヴァルを介したマッピングが一致する。
| 音程と補音程 | 誤差 (絶対, ¢) | 誤差 (相対, %) |
|---|---|---|
| 1/1, 2/1 | 0.000 | 0.0 |
| 41/34, 68/41 | 0.009 | 0.2 |
| 29/23, 46/29 | 0.017 | 0.4 |
| 29/26, 52/29 | 0.018 | 0.5 |
| 39/31, 62/39 | 0.019 | 0.5 |
| 35/34, 68/35 | 0.023 | 0.6 |
| 41/35, 70/41 | 0.032 | 0.8 |
| 23/13, 26/23 | 0.035 | 0.9 |
| 13/9, 18/13 | 0.038 | 1.0 |
| 21/16, 32/21 | 0.041 | 1.1 |
| 19/10, 20/19 | 0.055 | 1.4 |
| 29/18, 36/29 | 0.056 | 1.5 |
| 31/27, 54/31 | 0.058 | 1.5 |
| 19/14, 28/19 | 0.070 | 1.8 |
| 23/18, 36/23 | 0.073 | 1.9 |
| 37/20, 40/37 | 0.079 | 2.0 |
| 33/23, 46/33 | 0.082 | 2.1 |
| 33/29, 58/33 | 0.098 | 2.6 |
| 33/26, 52/33 | 0.116 | 3.0 |
| 7/5, 10/7 | 0.124 | 3.2 |
| 37/19, 38/37 | 0.133 | 3.5 |
| 11/9, 18/11 | 0.141 | 3.7 |
| 25/17, 34/25 | 0.148 | 3.8 |
| 11/6, 12/11 | 0.155 | 4.0 |
| 41/25, 50/41 | 0.157 | 4.1 |
| 15/8, 16/15 | 0.166 | 4.3 |
| 15/14, 28/15 | 0.171 | 4.4 |
| 13/11, 22/13 | 0.179 | 4.6 |
| 29/22, 44/29 | 0.197 | 5.1 |
| 33/31, 62/33 | 0.199 | 5.2 |
| 37/28, 56/37 | 0.203 | 5.3 |
| 23/22, 44/23 | 0.214 | 5.5 |
| 27/23, 46/27 | 0.223 | 5.8 |
| 41/37, 74/41 | 0.226 | 5.9 |
| 37/34, 68/37 | 0.235 | 6.1 |
| 29/27, 54/29 | 0.240 | 6.2 |
| 19/15, 30/19 | 0.241 | 6.2 |
| 27/26, 52/27 | 0.258 | 6.7 |
| 37/35, 70/37 | 0.259 | 6.7 |
| 39/23, 46/39 | 0.261 | 6.8 |
| 39/29, 58/39 | 0.278 | 7.2 |
| 31/23, 46/31 | 0.281 | 7.3 |
| 3/2, 4/3 | 0.296 | 7.7 |
| 31/29, 58/31 | 0.297 | 7.7 |
| 41/40, 80/41 | 0.305 | 7.9 |
| 17/10, 20/17 | 0.314 | 8.1 |
| 31/26, 52/31 | 0.315 | 8.2 |
| 13/12, 24/13 | 0.334 | 8.7 |
| 7/4, 8/7 | 0.337 | 8.7 |
| 29/24, 48/29 | 0.352 | 9.1 |
| 31/18, 36/31 | 0.354 | 9.2 |
| 41/38, 76/41 | 0.360 | 9.3 |
| 21/19, 38/21 | 0.366 | 9.5 |
| 19/17, 34/19 | 0.368 | 9.5 |
| 23/12, 24/23 | 0.369 | 9.6 |
| 37/30, 60/37 | 0.374 | 9.7 |
| 37/25, 50/37 | 0.383 | 9.9 |
| 35/19, 38/35 | 0.392 | 10.2 |
| 19/16, 32/19 | 0.407 | 10.5 |
| 21/20, 40/21 | 0.420 | 10.9 |
| 41/28, 56/41 | 0.429 | 11.1 |
| 27/22, 44/27 | 0.437 | 11.3 |
| 17/14, 28/17 | 0.438 | 11.4 |
| 11/8, 16/11 | 0.451 | 11.7 |
| 5/4, 8/5 | 0.462 | 12.0 |
| 39/22, 44/39 | 0.475 | 12.3 |
| 21/11, 22/21 | 0.492 | 12.7 |
| 31/22, 44/31 | 0.495 | 12.8 |
| 37/21, 42/37 | 0.499 | 12.9 |
| 25/19, 38/25 | 0.516 | 13.4 |
| 37/32, 64/37 | 0.540 | 14.0 |
| 25/14, 28/25 | 0.586 | 15.2 |
| 9/8, 16/9 | 0.592 | 15.3 |
| 41/30, 60/41 | 0.601 | 15.6 |
| 17/15, 30/17 | 0.610 | 15.8 |
| 15/11, 22/15 | 0.616 | 16.0 |
| 13/8, 16/13 | 0.630 | 16.3 |
| 7/6, 12/7 | 0.633 | 16.4 |
| 29/16, 32/29 | 0.648 | 16.8 |
| 31/24, 48/31 | 0.649 | 16.8 |
| 23/16, 32/23 | 0.665 | 17.2 |
| 21/13, 26/21 | 0.671 | 17.4 |
| 29/21, 42/29 | 0.689 | 17.9 |
| 19/12, 24/19 | 0.703 | 18.2 |
| 23/21, 42/23 | 0.706 | 18.3 |
| 41/21, 42/41 | 0.725 | 18.8 |
| 21/17, 34/21 | 0.734 | 19.0 |
| 33/32, 64/33 | 0.746 | 19.3 |
| 5/3, 6/5 | 0.757 | 19.6 |
| 41/32, 64/41 | 0.767 | 19.9 |
| 17/16, 32/17 | 0.775 | 20.1 |
| 11/7, 14/11 | 0.788 | 20.4 |
| 15/13, 26/15 | 0.796 | 20.6 |
| 35/32, 64/35 | 0.799 | 20.7 |
| 29/15, 30/29 | 0.814 | 21.1 |
| 23/15, 30/23 | 0.830 | 21.5 |
| 37/24, 48/37 | 0.836 | 21.7 |
| 19/11, 22/19 | 0.857 | 22.2 |
| 25/21, 42/25 | 0.882 | 22.9 |
| 27/16, 32/27 | 0.887 | 23.0 |
| 11/10, 20/11 | 0.912 | 23.6 |
| 25/16, 32/25 | 0.923 | 23.9 |
| 39/32, 64/39 | 0.926 | 24.0 |
| 9/7, 14/9 | 0.929 | 24.1 |
| 31/16, 32/31 | 0.945 | 24.5 |
| 13/7, 14/13 | 0.967 | 25.1 |
| 29/28, 56/29 | 0.985 | 25.5 |
| 31/21, 42/31 | 0.986 | 25.6 |
| 37/22, 44/37 | 0.991 | 25.7 |
| 19/18, 36/19 | 0.999 | 25.9 |
| 23/14, 28/23 | 1.002 | 26.0 |
| 19/13, 26/19 | 1.037 | 26.9 |
| 9/5, 10/9 | 1.053 | 27.3 |
| 29/19, 38/29 | 1.055 | 27.3 |
| 41/24, 48/41 | 1.062 | 27.5 |
| 17/12, 24/17 | 1.071 | 27.8 |
| 23/19, 38/23 | 1.071 | 27.8 |
| 33/28, 56/33 | 1.084 | 28.1 |
| 13/10, 20/13 | 1.092 | 28.3 |
| 35/24, 48/35 | 1.095 | 28.4 |
| 29/20, 40/29 | 1.110 | 28.8 |
| 31/30, 60/31 | 1.111 | 28.8 |
| 23/20, 40/23 | 1.126 | 29.2 |
| 37/36, 72/37 | 1.132 | 29.3 |
| 33/19, 38/33 | 1.153 | 29.9 |
| 37/26, 52/37 | 1.170 | 30.3 |
| 37/29, 58/37 | 1.188 | 30.8 |
| 37/23, 46/37 | 1.205 | 31.2 |
| 33/20, 40/33 | 1.208 | 31.3 |
| 41/22, 44/41 | 1.217 | 31.5 |
| 25/24, 48/25 | 1.219 | 31.6 |
| 27/14, 28/27 | 1.225 | 31.7 |
| 17/11, 22/17 | 1.226 | 31.8 |
| 35/22, 44/35 | 1.249 | 32.4 |
| 39/28, 56/39 | 1.263 | 32.7 |
| 31/28, 56/31 | 1.282 | 33.2 |
| 37/33, 66/37 | 1.287 | 33.3 |
| 27/19, 38/27 | 1.294 | 33.5 |
| 39/38, 76/39 | 1.333 | 34.5 |
| 27/20, 40/27 | 1.349 | 35.0 |
| 31/19, 38/31 | 1.352 | 35.0 |
| 41/36, 72/41 | 1.358 | 35.2 |
| 17/9, 18/17 | 1.367 | 35.4 |
| 25/22, 44/25 | 1.374 | 35.6 |
| 39/20, 40/39 | 1.387 | 36.0 |
| 35/18, 36/35 | 1.390 | 36.0 |
| 41/26, 52/41 | 1.396 | 36.2 |
| 17/13, 26/17 | 1.405 | 36.4 |
| 31/20, 40/31 | 1.407 | 36.5 |
| 41/29, 58/41 | 1.414 | 36.7 |
| 29/17, 34/29 | 1.423 | 36.9 |
| 37/27, 54/37 | 1.428 | 37.0 |
| 35/26, 52/35 | 1.429 | 37.0 |
| 41/23, 46/41 | 1.431 | 37.1 |
| 23/17, 34/23 | 1.440 | 37.3 |
| 35/29, 58/35 | 1.447 | 37.5 |
| 35/23, 46/35 | 1.463 | 37.9 |
| 39/37, 74/39 | 1.466 | 38.0 |
| 37/31, 62/37 | 1.485 | 38.5 |
| 41/33, 66/41 | 1.513 | 39.2 |
| 25/18, 36/25 | 1.515 | 39.3 |
| 33/17, 34/33 | 1.522 | 39.4 |
| 35/33, 66/35 | 1.545 | 40.0 |
| 25/13, 26/25 | 1.553 | 40.3 |
| 29/25, 50/29 | 1.571 | 40.7 |
| 25/23, 46/25 | 1.588 | 41.2 |
| 41/27, 54/41 | 1.654 | 42.9 |
| 27/17, 34/27 | 1.663 | 43.1 |
| 33/25, 50/33 | 1.670 | 43.3 |
| 35/27, 54/35 | 1.686 | 43.7 |
| 41/39, 78/41 | 1.692 | 43.9 |
| 39/34, 68/39 | 1.701 | 44.1 |
| 41/31, 62/41 | 1.712 | 44.4 |
| 31/17, 34/31 | 1.720 | 44.6 |
| 39/35, 70/39 | 1.724 | 44.7 |
| 35/31, 62/35 | 1.744 | 45.2 |
| 27/25, 50/27 | 1.811 | 46.9 |
| 39/25, 50/39 | 1.849 | 47.9 |
| 31/25, 50/31 | 1.868 | 48.4 |