101afdo: Difference between revisions
m →Lowest-error neji approximations: made text smaller |
m →Table of intervals: Made table text small too |
||
Line 25: | Line 25: | ||
|+ Intervals of mode 101 of the harmonic series | |+ Intervals of mode 101 of the harmonic series | ||
|- | |- | ||
! Step | ! <small>Step</small> | ||
! Harmonic | ! <small>Harmonic</small> | ||
! Just ratio | ! <small>Just ratio</small> | ||
! [[Cent]]s value | ! <small>[[Cent]]s value</small> | ||
|- | |- | ||
! <small>1</small> | |||
| 102nd | | <small>102nd</small> | ||
| 102/101 | | <small>102/101</small> | ||
| 17.057 | | <small>17.057</small> | ||
|- | |- | ||
! <small>2</small> | |||
| 103rd | | <small>103rd</small> | ||
| 103/101 | | <small>103/101</small> | ||
| 33.947 | | <small>33.947</small> | ||
|- | |- | ||
! <small>3</small> | |||
| 104th | | <small>104th</small> | ||
| 104/101 | | <small>104/101</small> | ||
| 50.674 | | <small>50.674</small> | ||
|- | |- | ||
! <small>4</small> | |||
| 105th | | <small>105th</small> | ||
| 105/101 | | <small>105/101</small> | ||
| 67.241 | | <small>67.241</small> | ||
|- | |- | ||
! <small>5</small> | |||
| 106th | | <small>106th</small> | ||
| 106/101 | | <small>106/101</small> | ||
| 83.651 | | <small>83.651</small> | ||
|- | |- | ||
! <small>6</small> | |||
| 107th | | <small>107th</small> | ||
| 107/101 | | <small>107/101</small> | ||
| 99.907 | | <small>99.907</small> | ||
|- | |- | ||
! <small>7</small> | |||
| 108th | | <small>108th</small> | ||
| 108/101 | | <small>108/101</small> | ||
| 116.011 | | <small>116.011</small> | ||
|- | |- | ||
! <small>8</small> | |||
| 109th | | <small>109th</small> | ||
| 109/101 | | <small>109/101</small> | ||
| 131.967 | | <small>131.967</small> | ||
|- | |- | ||
! <small>9</small> | |||
| 110th | | <small>110th</small> | ||
| 110/101 | | <small>110/101</small> | ||
| 147.778 | | <small>147.778</small> | ||
|- | |- | ||
! <small>10</small> | |||
| 111th | | <small>111th</small> | ||
| 111/101 | | <small>111/101</small> | ||
| 163.445 | | <small>163.445</small> | ||
|- | |- | ||
! <small>11</small> | |||
| 112th | | <small>112th</small> | ||
| 112/101 | | <small>112/101</small> | ||
| 178.972 | | <small>178.972</small> | ||
|- | |- | ||
! <small>12</small> | |||
| 113th | | <small>113th</small> | ||
| 113/101 | | <small>113/101</small> | ||
| 194.361 | | <small>194.361</small> | ||
|- | |- | ||
! <small>13</small> | |||
| 114th | | <small>114th</small> | ||
| 114/101 | | <small>114/101</small> | ||
| 209.614 | | <small>209.614</small> | ||
|- | |- | ||
! <small>14</small> | |||
| 115th | | <small>115th</small> | ||
| 115/101 | | <small>115/101</small> | ||
| 224.734 | | <small>224.734</small> | ||
|- | |- | ||
! <small>15</small> | |||
| 116th | | <small>116th</small> | ||
| 116/101 | | <small>116/101</small> | ||
| 239.723 | | <small>239.723</small> | ||
|- | |- | ||
! <small>16</small> | |||
| 117th | | <small>117th</small> | ||
| 117/101 | | <small>117/101</small> | ||
| 254.584 | | <small>254.584</small> | ||
|- | |- | ||
! <small>17</small> | |||
| 118th | | <small>118th</small> | ||
| 118/101 | | <small>118/101</small> | ||
| 269.318 | | <small>269.318</small> | ||
|- | |- | ||
! <small>18</small> | |||
| 119th | | <small>119th</small> | ||
| 119/101 | | <small>119/101</small> | ||
| 283.928 | | <small>283.928</small> | ||
|- | |- | ||
! <small>19</small> | |||
| 120th | | <small>120th</small> | ||
| 120/101 | | <small>120/101</small> | ||
| 298.415 | | <small>298.415</small> | ||
|- | |- | ||
! <small>20</small> | |||
| 121st | | <small>121st</small> | ||
| 121/101 | | <small>121/101</small> | ||
| 312.782 | | <small>312.782</small> | ||
|- | |- | ||
! <small>21</small> | |||
| 122nd | | <small>122nd</small> | ||
| 122/101 | | <small>122/101</small> | ||
| 327.031 | | <small>327.031</small> | ||
|- | |- | ||
! <small>22</small> | |||
| 123rd | | <small>123rd</small> | ||
| 123/101 | | <small>123/101</small> | ||
| 341.164 | | <small>341.164</small> | ||
|- | |- | ||
! <small>23</small> | |||
| 124th | | <small>124th</small> | ||
| 124/101 | | <small>124/101</small> | ||
| 355.182 | | <small>355.182</small> | ||
|- | |- | ||
! <small>24</small> | |||
| 125th | | <small>125th</small> | ||
| 125/101 | | <small>125/101</small> | ||
| 369.087 | | <small>369.087</small> | ||
|- | |- | ||
! <small>25</small> | |||
| 126th | | <small>126th</small> | ||
| 126/101 | | <small>126/101</small> | ||
| 382.882 | | <small>382.882</small> | ||
|- | |- | ||
! <small>26</small> | |||
| 127th | | <small>127th</small> | ||
| 127/101 | | <small>127/101</small> | ||
| 396.568 | | <small>396.568</small> | ||
|- | |- | ||
! <small>27</small> | |||
| 128th | | <small>128th</small> | ||
| 128/101 | | <small>128/101</small> | ||
| 410.146 | | <small>410.146</small> | ||
|- | |- | ||
! <small>28</small> | |||
| 129th | | <small>129th</small> | ||
| 129/101 | | <small>129/101</small> | ||
| 423.619 | | <small>423.619</small> | ||
|- | |- | ||
! <small>29</small> | |||
| 130th | | <small>130th</small> | ||
| 130/101 | | <small>130/101</small> | ||
| 436.988 | | <small>436.988</small> | ||
|- | |- | ||
! <small>30</small> | |||
| 131st | | <small>131st</small> | ||
| 131/101 | | <small>131/101</small> | ||
| 450.254 | | <small>450.254</small> | ||
|- | |- | ||
! <small>31</small> | |||
| 132nd | | <small>132nd</small> | ||
| 132/101 | | <small>132/101</small> | ||
| 463.419 | | <small>463.419</small> | ||
|- | |- | ||
! <small>32</small> | |||
| 133rd | | <small>133rd</small> | ||
| 133/101 | | <small>133/101</small> | ||
| 476.485 | | <small>476.485</small> | ||
|- | |- | ||
! <small>33</small> | |||
| 134th | | <small>134th</small> | ||
| 134/101 | | <small>134/101</small> | ||
| 489.453 | | <small>489.453</small> | ||
|- | |- | ||
! <small>34</small> | |||
| 135th | | <small>135th</small> | ||
| 135/101 | | <small>135/101</small> | ||
| 502.325 | | <small>502.325</small> | ||
|- | |- | ||
! <small>35</small> | |||
| 136th | | <small>136th</small> | ||
| 136/101 | | <small>136/101</small> | ||
| 515.102 | | <small>515.102</small> | ||
|- | |- | ||
! <small>36</small> | |||
| 137th | | <small>137th</small> | ||
| 137/101 | | <small>137/101</small> | ||
| 527.785 | | <small>527.785</small> | ||
|- | |- | ||
! <small>37</small> | |||
| 138th | | <small>138th</small> | ||
| 138/101 | | <small>138/101</small> | ||
| 540.376 | | <small>540.376</small> | ||
|- | |- | ||
! <small>38</small> | |||
| 139th | | <small>139th</small> | ||
| 139/101 | | <small>139/101</small> | ||
| 552.876 | | <small>552.876</small> | ||
|- | |- | ||
! <small>39</small> | |||
| 140th | | <small>140th</small> | ||
| 140/101 | | <small>140/101</small> | ||
| 565.286 | | <small>565.286</small> | ||
|- | |- | ||
! <small>40</small> | |||
| 141st | | <small>141st</small> | ||
| 141/101 | | <small>141/101</small> | ||
| 577.608 | | <small>577.608</small> | ||
|- | |- | ||
! <small>41</small> | |||
| 142nd | | <small>142nd</small> | ||
| 142/101 | | <small>142/101</small> | ||
| 589.843 | | <small>589.843</small> | ||
|- | |- | ||
! <small>42</small> | |||
| 143rd | | <small>143rd</small> | ||
| 143/101 | | <small>143/101</small> | ||
| 601.992 | | <small>601.992</small> | ||
|- | |- | ||
! <small>43</small> | |||
| 144th | | <small>144th</small> | ||
| 144/101 | | <small>144/101</small> | ||
| 614.056 | | <small>614.056</small> | ||
|- | |- | ||
! <small>44</small> | |||
| 145th | | <small>145th</small> | ||
| 145/101 | | <small>145/101</small> | ||
| 626.037 | | <small>626.037</small> | ||
|- | |- | ||
! <small>45</small> | |||
| 146th | | <small>146th</small> | ||
| 146/101 | | <small>146/101</small> | ||
| 637.936 | | <small>637.936</small> | ||
|- | |- | ||
! <small>46</small> | |||
| 147th | | <small>147th</small> | ||
| 147/101 | | <small>147/101</small> | ||
| 649.753 | | <small>649.753</small> | ||
|- | |- | ||
! <small>47</small> | |||
| 148th | | <small>148th</small> | ||
| 148/101 | | <small>148/101</small> | ||
| 661.490 | | <small>661.490</small> | ||
|- | |- | ||
! <small>48</small> | |||
| 149th | | <small>149th</small> | ||
| 149/101 | | <small>149/101</small> | ||
| 673.148 | | <small>673.148</small> | ||
|- | |- | ||
! <small>49</small> | |||
| 150th | | <small>150th</small> | ||
| 150/101 | | <small>150/101</small> | ||
| 684.729 | | <small>684.729</small> | ||
|- | |- | ||
! <small>50</small> | |||
| 151st | | <small>151st</small> | ||
| 151/101 | | <small>151/101</small> | ||
| 696.232 | | <small>696.232</small> | ||
|- | |- | ||
! <small>51</small> | |||
| 152nd | | <small>152nd</small> | ||
| 152/101 | | <small>152/101</small> | ||
| 707.659 | | <small>707.659</small> | ||
|- | |- | ||
! <small>52</small> | |||
| 153rd | | <small>153rd</small> | ||
| 153/101 | | <small>153/101</small> | ||
| 719.012 | | <small>719.012</small> | ||
|- | |- | ||
! <small>53</small> | |||
| 154th | | <small>154th</small> | ||
| 154/101 | | <small>154/101</small> | ||
| 730.290 | | <small>730.290</small> | ||
|- | |- | ||
! <small>54</small> | |||
| 155th | | <small>155th</small> | ||
| 155/101 | | <small>155/101</small> | ||
| 741.496 | | <small>741.496</small> | ||
|- | |- | ||
! <small>55</small> | |||
| 156th | | <small>156th</small> | ||
| 156/101 | | <small>156/101</small> | ||
| 752.629 | | <small>752.629</small> | ||
|- | |- | ||
! <small>56</small> | |||
| 157th | | <small>157th</small> | ||
| 157/101 | | <small>157/101</small> | ||
| 763.691 | | <small>763.691</small> | ||
|- | |- | ||
! <small>57</small> | |||
| 158th | | <small>158th</small> | ||
| 158/101 | | <small>158/101</small> | ||
| 774.683 | | <small>774.683</small> | ||
|- | |- | ||
! <small>58</small> | |||
| 159th | | <small>159th</small> | ||
| 159/101 | | <small>159/101</small> | ||
| 785.606 | | <small>785.606</small> | ||
|- | |- | ||
! <small>59</small> | |||
| 160th | | <small>160th</small> | ||
| 160/101 | | <small>160/101</small> | ||
| 796.460 | | <small>796.460</small> | ||
|- | |- | ||
! <small>60</small> | |||
| 161st | | <small>161st</small> | ||
| 161/101 | | <small>161/101</small> | ||
| 807.246 | | <small>807.246</small> | ||
|- | |- | ||
! <small>61</small> | |||
| 162nd | | <small>162nd</small> | ||
| 162/101 | | <small>162/101</small> | ||
| 817.966 | | <small>817.966</small> | ||
|- | |- | ||
! <small>62</small> | |||
| 163rd | | <small>163rd</small> | ||
| 163/101 | | <small>163/101</small> | ||
| 828.620 | | <small>828.620</small> | ||
|- | |- | ||
! <small>63</small> | |||
| 164th | | <small>164th</small> | ||
| 164/101 | | <small>164/101</small> | ||
| 839.209 | | <small>839.209</small> | ||
|- | |- | ||
! <small>64</small> | |||
| 165th | | <small>165th</small> | ||
| 165/101 | | <small>165/101</small> | ||
| 849.733 | | <small>849.733</small> | ||
|- | |- | ||
! <small>65</small> | |||
| 166th | | <small>166th</small> | ||
| 166/101 | | <small>166/101</small> | ||
| 860.194 | | <small>860.194</small> | ||
|- | |- | ||
! <small>66</small> | |||
| 167th | | <small>167th</small> | ||
| 167/101 | | <small>167/101</small> | ||
| 870.591 | | <small>870.591</small> | ||
|- | |- | ||
! <small>67</small> | |||
| 168th | | <small>168th</small> | ||
| 168/101 | | <small>168/101</small> | ||
| 880.927 | | <small>880.927</small> | ||
|- | |- | ||
! <small>68</small> | |||
| 169th | | <small>169th</small> | ||
| 169/101 | | <small>169/101</small> | ||
| 891.202 | | <small>891.202</small> | ||
|- | |- | ||
! <small>69</small> | |||
| 170th | | <small>170th</small> | ||
| 170/101 | | <small>170/101</small> | ||
| 901.415 | | <small>901.415</small> | ||
|- | |- | ||
! <small>70</small> | |||
| 171st | | <small>171st</small> | ||
| 171/101 | | <small>171/101</small> | ||
| 911.569 | | <small>911.569</small> | ||
|- | |- | ||
! <small>71</small> | |||
| 172nd | | <small>172nd</small> | ||
| 172/101 | | <small>172/101</small> | ||
| 921.664 | | <small>921.664</small> | ||
|- | |- | ||
! <small>72</small> | |||
| 173rd | | <small>173rd</small> | ||
| 173/101 | | <small>173/101</small> | ||
| 931.700 | | <small>931.700</small> | ||
|- | |- | ||
! <small>73</small> | |||
| 174th | | <small>174th</small> | ||
| 174/101 | | <small>174/101</small> | ||
| 941.678 | | <small>941.678</small> | ||
|- | |- | ||
! <small>74</small> | |||
| 175th | | <small>175th</small> | ||
| 175/101 | | <small>175/101</small> | ||
| 951.600 | | <small>951.600</small> | ||
|- | |- | ||
! <small>75</small> | |||
| 176th | | <small>176th</small> | ||
| 176/101 | | <small>176/101</small> | ||
| 961.464 | | <small>961.464</small> | ||
|- | |- | ||
! <small>76</small> | |||
| 177th | | <small>177th</small> | ||
| 177/101 | | <small>177/101</small> | ||
| 971.273 | | <small>971.273</small> | ||
|- | |- | ||
! <small>77</small> | |||
| 178th | | <small>178th</small> | ||
| 178/101 | | <small>178/101</small> | ||
| 981.026 | | <small>981.026</small> | ||
|- | |- | ||
! <small>78</small> | |||
| 179th | | <small>179th</small> | ||
| 179/101 | | <small>179/101</small> | ||
| 990.725 | | <small>990.725</small> | ||
|- | |- | ||
! <small>79</small> | |||
| 180th | | <small>180th</small> | ||
| 180/101 | | <small>180/101</small> | ||
| 1000.370 | | <small>1000.370</small> | ||
|- | |- | ||
! <small>80</small> | |||
| 181st | | <small>181st</small> | ||
| 181/101 | | <small>181/101</small> | ||
| 1009.961 | | <small>1009.961</small> | ||
|- | |- | ||
! <small>81</small> | |||
| 182nd | | <small>182nd</small> | ||
| 182/101 | | <small>182/101</small> | ||
| 1019.500 | | <small>1019.500</small> | ||
|- | |- | ||
! <small>82</small> | |||
| 183rd | | <small>183rd</small> | ||
| 183/101 | | <small>183/101</small> | ||
| 1028.986 | | <small>1028.986</small> | ||
|- | |- | ||
! <small>83</small> | |||
| 184th | | <small>184th</small> | ||
| 184/101 | | <small>184/101</small> | ||
| 1038.421 | | <small>1038.421</small> | ||
|- | |- | ||
! <small>84</small> | |||
| 185th | | <small>185th</small> | ||
| 185/101 | | <small>185/101</small> | ||
| 1047.804 | | <small>1047.804</small> | ||
|- | |- | ||
! <small>85</small> | |||
| 186th | | <small>186th</small> | ||
| 186/101 | | <small>186/101</small> | ||
| 1057.137 | | <small>1057.137</small> | ||
|- | |- | ||
! <small>86</small> | |||
| 187th | | <small>187th</small> | ||
| 187/101 | | <small>187/101</small> | ||
| 1066.420 | | <small>1066.420</small> | ||
|- | |- | ||
! <small>87</small> | |||
| 188th | | <small>188th</small> | ||
| 188/101 | | <small>188/101</small> | ||
| 1075.653 | | <small>1075.653</small> | ||
|- | |- | ||
! <small>88</small> | |||
| 189th | | <small>189th</small> | ||
| 189/101 | | <small>189/101</small> | ||
| 1084.837 | | <small>1084.837</small> | ||
|- | |- | ||
! <small>89</small> | |||
| 190th | | <small>190th</small> | ||
| 190/101 | | <small>190/101</small> | ||
| 1093.973 | | <small>1093.973</small> | ||
|- | |- | ||
! <small>90</small> | |||
| 191st | | <small>191st</small> | ||
| 191/101 | | <small>191/101</small> | ||
| 1103.061 | | <small>1103.061</small> | ||
|- | |- | ||
! <small>91</small> | |||
| 192nd | | <small>192nd</small> | ||
| 192/101 | | <small>192/101</small> | ||
| 1112.101 | | <small>1112.101</small> | ||
|- | |- | ||
! <small>92</small> | |||
| 193rd | | <small>193rd</small> | ||
| 193/101 | | <small>193/101</small> | ||
| 1121.095 | | <small>1121.095</small> | ||
|- | |- | ||
! <small>93</small> | |||
| 194th | | <small>194th</small> | ||
| 194/101 | | <small>194/101</small> | ||
| 1130.042 | | <small>1130.042</small> | ||
|- | |- | ||
! <small>94</small> | |||
| 195th | | <small>195th</small> | ||
| 195/101 | | <small>195/101</small> | ||
| 1138.943 | | <small>1138.943</small> | ||
|- | |- | ||
! <small>95</small> | |||
| 196th | | <small>196th</small> | ||
| 196/101 | | <small>196/101</small> | ||
| 1147.798 | | <small>1147.798</small> | ||
|- | |- | ||
! <small>96</small> | |||
| 197th | | <small>197th</small> | ||
| 197/101 | | <small>197/101</small> | ||
| 1156.608 | | <small>1156.608</small> | ||
|- | |- | ||
! <small>97</small> | |||
| 198th | | <small>198th</small> | ||
| 198/101 | | <small>198/101</small> | ||
| 1165.374 | | <small>1165.374</small> | ||
|- | |- | ||
! <small>98</small> | |||
| 199th | | <small>199th</small> | ||
| 199/101 | | <small>199/101</small> | ||
| 1174.096 | | <small>1174.096</small> | ||
|- | |- | ||
! <small>99</small> | |||
| 200th | | <small>200th</small> | ||
| 200/101 | | <small>200/101</small> | ||
| 1182.774 | | <small>1182.774</small> | ||
|- | |- | ||
! <small>100</small> | |||
| 201st | | <small>201st</small> | ||
| 201/101 | | <small>201/101</small> | ||
| 1191.408 | | <small>1191.408</small> | ||
|- | |- | ||
! <small>101</small> | |||
| 202nd | | <small>202nd</small> | ||
| 202/101 | | <small>202/101</small> | ||
| 1200.000 | | <small>1200.000</small> | ||
|} | |} | ||