53平均律
他の音律との比較

この音律における31段の音程がほとんど正確に純正な完全五度と等しいので、理論上この音律は53音まで拡張されたピタゴラス音律の一形体であると考えられる。したがって（実用上）純正な五度や、純正より広い長三度（純正の5:4に対して81:64）、また逆に狭い短三度（6:5と比べ32:27）など、ピタゴラス音律と同じ特性を持つ音程が利用できる。
しかしながら、53平均律は非常に純正音程に近い追加の音程を含んでいる。例えば、17段の音程も長三度だが、純正な音程(5:4)よりもわずか1.4セントだけ狭い音程である。53平均律は、5限界純正律の音程をよく近似する。
第7倍音に関連する純正音程の近似はやや劣るが、7:5の三全音で最大の偏差を持ちつつ、依然として一致を見せる。第11倍音に関連する音程の近似はより劣る。
| 0 | 1 | 2 | 3 | 4 | 5 |
| --- | --- | --- | --- | --- | --- |
| 音程名 | サイズ (段) | サイズ (cents) | 純正比 | 純正 (cents) | 偏差 |
| harmonic seventh | 43 | 973.585 | 7:4 | 968.826 | -4.759 |
| perfect fifth | 31 | 701.887 | 3:2 | 701.955 | 0.068 |
| Pythagorean tritone | 27 | 611.321 | 729:512 | 611.73 | 0.409 |
| diatonic tritone | 26 | 588.679 | 45:32 | 590.224 | 1.544 |
| Pythagorean diminished fifth | 26 | 588.679 | 1024:729 | 588.27 | -0.409 |
| septimal tritone | 26 | 588.679 | 7:5 | 582.512 | -6.167 |
| classic tritone | 25 | 566.038 | 25:18 | 568.717 | 2.68 |
| undecimal tritone | 24 | 543.396 | 11:8 | 551.318 | 7.922 |
| double diminished fifth | 24 | 543.396 | 512:375 | 539.104 | -4.292 |
| undecimal augmented fourth | 24 | 543.396 | 15:11 | 536.951 | -6.445 |
| acute fourth | 23 | 520.755 | 27:20 | 519.551 | -1.203 |
| perfect fourth | 22 | 498.113 | 4:3 | 498.045 | -0.068 |
| grave fourth | 21 | 475.472 | 320:243 | 476.539 | 1.067 |
| septimal narrow fourth | 21 | 475.472 | 21:16 | 470.781 | -4.691 |
| classic augmented third | 20 | 452.83 | 125:96 | 456.986 | 4.156 |
| tridecimal augmented third | 20 | 452.83 | 13:10 | 454.214 | 1.384 |
| septimal major third | 19 | 430.189 | 9:7 | 435.084 | 4.895 |
| classic diminished fourth | 19 | 430.189 | 32:25 | 427.373 | -2.816 |
| Pythagorean ditone | 18 | 407.547 | 81:64 | 407.82 | 0.273 |
| just major third | 17 | 384.906 | 5:4 | 386.314 | 1.408 |
| grave major third | 16 | 362.264 | 100:81 | 364.807 | 2.543 |
| neutral third, tridecimal | 16 | 362.264 | 16:13 | 359.472 | -2.792 |
| neutral third, undecimal | 15 | 339.623 | 11:9 | 347.408 | 7.785 |
| acute minor third | 15 | 339.623 | 243:200 | 337.148 | -2.475 |
| just minor third | 14 | 316.981 | 6:5 | 315.641 | -1.34 |
| Pythagorean semiditone | 13 | 294.34 | 32:27 | 294.135 | -0.205 |
| classic augmented second | 12 | 271.698 | 75:64 | 274.582 | 2.884 |
| septimal minor third | 12 | 271.698 | 7:6 | 266.871 | -4.827 |
| tridecimal diminished third | 11 | 249.057 | 15:13 | 247.741 | -1.316 |
| classic diminished third | 11 | 249.057 | 144:125 | 244.969 | -4.088 |
| septimal whole tone | 10 | 226.415 | 8:7 | 231.174 | 4.759 |
| diminished third | 10 | 226.415 | 256:225 | 223.463 | -2.953 |
| whole tone, major tone | 9 | 203.774 | 9:8 | 203.91 | 0.136 |
| whole tone, minor tone | 8 | 181.132 | 10:9 | 182.404 | 1.272 |
| neutral second, greater undecimal | 7 | 158.491 | 11:10 | 165.004 | 6.514 |
| neutral second, grave whole tone | 7 | 158.491 | 800:729 | 160.897 | 2.407 |
| neutral second, lesser undecimal | 7 | 158.491 | 12:11 | 150.637 | -7.854 |
| neutral second, tridecimal | 6 | 135.849 | 13:12 | 138.573 | 2.724 |
| neutral second, large limma | 6 | 135.849 | 27:25 | 133.238 | -2.611 |
| Pythagorean chromatic semitone | 5 | 113.208 | 2187:2048 | 113.685 | 0.477 |
| just diatonic semitone | 5 | 113.208 | 16:15 | 111.731 | -1.476 |
| major limma | 4 | 90.566 | 135:128 | 92.179 | 1.613 |
| Pythagorean diatonic semitone | 4 | 90.566 | 256:243 | 90.225 | -0.341 |
| just chromatic semitone | 3 | 67.925 | 25:24 | 70.672 | 2.748 |
| just diesis | 2 | 45.283 | 128:125 | 41.059 | -4.224 |
| syntonic comma | 1 | 22.642 | 81:80 | 21.506 | -1.135 |