Scala analysis: jiri24a
Just/rational intonation system -- with circulating 24-note set
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 36/35 48.770381 septimal diesis, 1/4-tone 2: 18/17 98.954592 Arabic lute index finger 3: 12/11 150.637059 undecimal neutral second, 3/4-tone 4: 9/8 203.910002 major whole tone 5: 15/13 247.741053 tridecimal 5/4-tone 6: 19/16 297.513016 19th harmonic 7: 11/9 347.407941 undecimal neutral third 8: 29/23 401.302847 9: 13/10 454.213948 tridecimal semi-diminished fourth 10: 4/3 498.044999 perfect fourth 11: 11/8 551.317942 undecimal semi-augmented fourth 12: 17/12 603.000409 2nd septendecimal tritone 13: 16/11 648.682058 undecimal semi-diminished fifth 14: 3/2 701.955001 perfect fifth 15: 20/13 745.786052 tridecimal semi-augmented fifth 16: 46/29 798.697153 17: 18/11 852.592059 undecimal neutral sixth 18: 32/19 902.486984 19th subharmonic 19: 26/15 952.258947 tridecimal semi-augmented sixth 20: 16/9 996.089998 Pythagorean minor seventh 21: 11/6 1049.362941 undecimal neutral seventh, 21/4-tone 22: 17/9 1101.045408 septendecimal major seventh 23: 35/18 1151.229619 septimal semi-diminished octave 24: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 36/35 48.7704 septimal diesis, 1/4-tone 1: 36/35 48.7704 septimal diesis, 1/4-tone 2: 35/34 50.1842 septendecimal 1/4-tone 3: 34/33 51.6825 4: 33/32 53.2729 undecimal comma, al-Farabi's 1/4-tone 5: 40/39 43.8311 tridecimal minor diesis 6: 247/240 49.7720 7: 176/171 49.8949 8: 261/253 53.8949 9: 299/290 52.9111 10: 40/39 43.8311 tridecimal minor diesis 11: 33/32 53.2729 undecimal comma, al-Farabi's 1/4-tone 12: 34/33 51.6825 13: 192/187 45.6816 14: 33/32 53.2729 undecimal comma, al-Farabi's 1/4-tone 15: 40/39 43.8311 tridecimal minor diesis 16: 299/290 52.9111 17: 261/253 53.8949 18: 176/171 49.8949 19: 247/240 49.7720 20: 40/39 43.8311 tridecimal minor diesis 21: 33/32 53.2729 undecimal comma, al-Farabi's 1/4-tone 22: 34/33 51.6825 23: 35/34 50.1842 septendecimal 1/4-tone 24: 36/35 48.7704 septimal diesis, 1/4-tone
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 40/39 43.831 cents tridecimal minor diesis 1: 1 192/187 45.682 cents 1: 2 36/35 48.770 cents septimal diesis, 1/4-tone 1: 2 247/240 49.772 cents 1: 2 176/171 49.895 cents 1: 2 35/34 50.184 cents septendecimal 1/4-tone 1: 3 34/33 51.682 cents 1: 2 299/290 52.911 cents 1: 4 33/32 53.273 cents undecimal comma, al-Farabi's 1/4-tone 1: 2 261/253 53.895 cents 2: 2 19/18 93.603 cents undevicesimal semitone 2: 2 92/87 96.742 cents 2: 4 55/52 97.104 cents 2: 1 128/121 97.364 cents undecimal semitone 2: 1 1296/1225 97.541 cents two (septimal diesis, 1/4-tone) 2: 3 18/17 98.955 cents Arabic lute index finger 2: 2 143/135 99.667 cents 2: 2 35/33 101.867 cents 2: 2 464/437 103.790 cents 2: 3 17/16 104.955 cents 17th harmonic 2: 2 117/110 106.806 cents 3: 1 240/221 142.786 cents 3: 2 88/81 143.498 cents 2nd undecimal neutral second 3: 2 209/192 146.876 cents 3: 2 648/595 147.725 cents 3: 3 85/78 148.786 cents 3: 2 253/232 150.015 cents 3: 6 12/11 150.637 cents undecimal neutral second, 3/4-tone 3: 2 377/345 153.562 cents 3: 2 35/32 155.140 cents septimal neutral second 3: 2 104/95 156.701 cents 4: 2 160/143 194.468 cents 4: 1 552/493 195.697 cents 4: 2 121/108 196.771 cents 4: 2 232/207 197.393 cents 4: 1 324/289 197.909 cents two (Arabic lute index finger) 4: 2 323/288 198.558 cents 4: 2 175/156 198.971 cents 4: 2 432/385 199.407 cents 4: 2 64/57 200.532 cents 4: 1 391/348 201.698 cents 4: 5 9/8 203.910 cents major whole tone 4: 2 169/150 206.473 cents 5: 2 368/319 247.379 cents 5: 4 15/13 247.741 cents tridecimal 5/4-tone 5: 2 187/162 248.453 cents 5: 2 665/576 248.743 cents 5: 3 216/187 249.592 cents 5: 4 52/45 250.304 cents 5: 2 319/276 250.666 cents 5: 2 81/70 252.680 cents Al-Hwarizmi's lute middle finger 5: 2 22/19 253.805 cents Godzilla third 5: 1 51/44 255.592 cents 6: 1 200/169 291.572 cents 6: 2 32/27 294.135 cents Pythagorean minor third 6: 2 108/91 296.511 cents 6: 2 19/16 297.513 cents 19th harmonic 6: 2 385/324 298.638 cents 6: 1 384/323 299.487 cents 6: 2 69/58 300.652 cents 6: 3 144/121 301.274 cents two (undecimal neutral second, 3/4-tone) 6: 2 493/414 302.348 cents 6: 2 81/68 302.865 cents Persian wosta 6: 4 143/120 303.577 cents 6: 1 68/57 305.487 cents 7: 2 460/377 344.483 cents 7: 2 171/140 346.283 cents 7: 2 270/221 346.696 cents 7: 6 11/9 347.408 cents undecimal neutral third 7: 1 104/85 349.259 cents 7: 2 256/209 351.169 cents 7: 2 1015/828 352.532 cents 7: 4 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 7: 3 221/180 355.259 cents 8: 1 64/51 393.090 cents 8: 2 44/35 396.178 cents 8: 2 171/136 396.468 cents 8: 1 1058/841 397.394 cents 8: 4 180/143 398.378 cents 8: 3 34/27 399.090 cents septendecimal major third 8: 2 121/96 400.681 cents 8: 2 208/165 400.941 cents 8: 2 29/23 401.303 cents 8: 2 24/19 404.442 cents smaller undevicesimal major third 8: 2 91/72 405.444 cents 8: 1 81/64 407.820 cents Pythagorean major third 9: 2 128/99 444.772 cents 9: 3 22/17 446.363 cents 9: 2 57/44 448.150 cents 9: 2 320/247 448.273 cents 9: 2 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 9: 2 1044/805 450.073 cents 9: 2 414/319 451.289 cents 9: 2 135/104 451.651 cents 9: 3 187/144 452.363 cents 9: 4 13/10 454.214 cents tridecimal semi-diminished fourth 10: 1 225/169 495.482 cents two (tridecimal 5/4-tone) 10: 11 4/3 498.045 cents perfect fourth 10: 2 522/391 500.257 cents 10: 2 736/551 501.184 cents 10: 2 171/128 501.423 cents 10: 2 385/288 502.548 cents 10: 2 234/175 502.984 cents 10: 1 289/216 504.046 cents 10: 1 162/121 505.184 cents 11: 2 160/117 541.876 cents 11: 2 285/208 545.254 cents 11: 2 48/35 546.815 cents septimal semi-augmented fourth 11: 1 70/51 548.229 cents 11: 2 136/99 549.727 cents 11: 2 598/435 550.956 cents 11: 6 11/8 551.318 cents undecimal semi-augmented fourth 11: 2 348/253 551.940 cents 11: 2 117/85 553.169 cents 11: 1 595/432 554.230 cents 11: 2 288/209 555.079 cents 12: 2 368/261 594.787 cents 12: 1 361/256 595.026 cents two (19th harmonic) 12: 4 55/39 595.149 cents 12: 3 24/17 597.000 cents 1st septendecimal tritone 12: 2 140/99 599.912 cents quasi-equal tritone 12: 2 99/70 600.088 cents 2nd quasi-equal tritone 12: 3 17/12 603.000 cents 2nd septendecimal tritone 12: 4 78/55 604.851 cents 12: 1 512/361 604.974 cents 12: 2 261/184 605.213 cents 13: 2 209/144 644.921 cents 13: 1 864/595 645.770 cents 13: 2 170/117 646.831 cents 13: 2 253/174 648.060 cents 13: 6 16/11 648.682 cents undecimal semi-diminished fifth 13: 2 435/299 649.044 cents 13: 2 99/68 650.273 cents 13: 1 51/35 651.771 cents 13: 2 35/24 653.185 cents septimal semi-diminished fifth 13: 2 416/285 654.746 cents 13: 2 117/80 658.124 cents 14: 1 121/81 694.816 cents two (undecimal neutral third) 14: 1 432/289 695.954 cents 14: 2 175/117 697.016 cents 14: 2 576/385 697.452 cents 14: 2 256/171 698.577 cents 14: 2 551/368 698.816 cents 14: 2 391/261 699.743 cents 14: 11 3/2 701.955 cents perfect fifth 14: 1 338/225 704.518 cents 15: 4 20/13 745.786 cents tridecimal semi-augmented fifth 15: 3 288/187 747.637 cents 15: 2 208/135 748.349 cents 15: 2 319/207 748.711 cents 15: 2 805/522 749.927 cents 15: 2 54/35 750.725 cents septimal semi-augmented fifth 15: 2 247/160 751.727 cents 15: 2 88/57 751.850 cents 15: 3 17/11 753.637 cents 15: 2 99/64 755.228 cents 16: 1 128/81 792.180 cents Pythagorean minor sixth 16: 2 144/91 794.556 cents 16: 2 19/12 795.558 cents undevicesimal minor sixth 16: 2 46/29 798.697 cents 16: 2 165/104 799.059 cents 16: 2 192/121 799.319 cents 16: 3 27/17 800.910 cents septendecimal minor sixth 16: 4 143/90 801.622 cents 16: 1 841/529 802.606 cents 16: 2 272/171 803.532 cents 16: 2 35/22 803.822 cents 16: 1 51/32 806.910 cents 17: 3 360/221 844.741 cents 17: 4 44/27 845.453 cents neutral sixth 17: 2 1656/1015 847.468 cents 17: 2 209/128 848.831 cents 17: 1 85/52 850.741 cents 17: 6 18/11 852.592 cents undecimal neutral sixth 17: 2 221/135 853.304 cents 17: 2 280/171 853.717 cents 17: 2 377/230 855.517 cents 18: 1 57/34 894.513 cents 18: 4 240/143 896.423 cents 18: 2 136/81 897.135 cents 18: 2 828/493 897.652 cents 18: 3 121/72 898.726 cents 18: 2 116/69 899.348 cents 18: 1 323/192 900.513 cents 18: 2 648/385 901.362 cents 18: 2 32/19 902.487 cents 19th subharmonic 18: 2 91/54 903.489 cents 18: 2 27/16 905.865 cents Pythagorean major sixth 18: 1 169/100 908.428 cents two (tridecimal semi-diminished fourth) 19: 1 88/51 944.408 cents 19: 2 19/11 946.195 cents 19: 2 140/81 947.320 cents 19: 2 552/319 949.334 cents 19: 4 45/26 949.696 cents 19: 3 187/108 950.408 cents 19: 2 1152/665 951.257 cents 19: 2 324/187 951.547 cents 19: 4 26/15 952.259 cents tridecimal semi-augmented sixth 19: 2 319/184 952.621 cents 20: 2 300/169 993.527 cents 20: 5 16/9 996.090 cents Pythagorean minor seventh 20: 1 696/391 998.302 cents 20: 2 57/32 999.468 cents undevicesimal minor seventh 20: 2 385/216 1000.593 cents 20: 2 312/175 1001.029 cents 20: 2 576/323 1001.442 cents 20: 1 289/162 1002.091 cents 20: 2 207/116 1002.607 cents 20: 2 216/121 1003.229 cents 20: 1 493/276 1004.303 cents 20: 2 143/80 1005.532 cents 21: 2 95/52 1043.299 cents 21: 2 64/35 1044.860 cents septimal neutral seventh 21: 2 690/377 1046.438 cents 21: 6 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 21: 2 464/253 1049.985 cents 21: 3 156/85 1051.214 cents 21: 2 595/324 1052.275 cents 21: 2 384/209 1053.124 cents 21: 2 81/44 1056.502 cents 2nd undecimal neutral seventh 21: 1 221/120 1057.214 cents 22: 2 220/117 1093.194 cents 22: 3 32/17 1095.045 cents 17th subharmonic 22: 2 437/232 1096.210 cents 22: 2 66/35 1098.133 cents 22: 2 270/143 1100.333 cents 22: 3 17/9 1101.045 cents septendecimal major seventh 22: 1 1225/648 1102.459 cents 22: 1 121/64 1102.636 cents two (undecimal semi-augmented fourth) 22: 4 104/55 1102.896 cents 22: 2 87/46 1103.258 cents 22: 2 36/19 1106.397 cents smaller undevicesimal major seventh 23: 2 506/261 1146.105 cents 23: 4 64/33 1146.727 cents 33rd subharmonic 23: 2 580/299 1147.089 cents 23: 3 33/17 1148.318 cents 23: 2 68/35 1149.816 cents 23/4-tone 23: 2 171/88 1150.105 cents 23: 2 480/247 1150.228 cents 23: 2 35/18 1151.230 cents septimal semi-diminished octave 23: 1 187/96 1154.318 cents 23: 4 39/20 1156.169 cents Highest number of different intervals for one interval class: 12 Average number of different intervals per interval class: 10.52174 = 242/23
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0.0 : 48.8 99.0 150.6 203.9 247.7 297.5 347.4 401.3 454.2 498.0 551.3 603.0 648.7 702.0 745.8 798.7 852.6 902.5 952.3 996.1 1049.4 1101.0 1151.2 1200.0 48.8 : 50.2 101.9 155.1 199.0 248.7 298.6 352.5 405.4 449.3 502.5 554.2 599.9 653.2 697.0 749.9 803.8 853.7 903.5 947.3 1000.6 1052.3 1102.5 1151.2 1200.0 99.0 : 51.7 105.0 148.8 198.6 248.5 302.3 355.3 399.1 452.4 504.0 549.7 603.0 646.8 699.7 753.6 803.5 853.3 897.1 950.4 1002.1 1052.3 1101.0 1149.8 1200.0 150.6 : 53.3 97.1 146.9 196.8 250.7 303.6 347.4 400.7 452.4 498.0 551.3 595.1 648.1 702.0 751.8 801.6 845.5 898.7 950.4 1000.6 1049.4 1098.1 1148.3 1200.0 203.9 : 43.8 93.6 143.5 197.4 250.3 294.1 347.4 399.1 444.8 498.0 541.9 594.8 648.7 698.6 748.3 792.2 845.5 897.1 947.3 996.1 1044.9 1095.0 1146.7 1200.0 247.7 : 49.8 99.7 153.6 206.5 250.3 303.6 355.3 400.9 454.2 498.0 551.0 604.9 654.7 704.5 748.3 801.6 853.3 903.5 952.3 1001.0 1051.2 1102.9 1156.2 1200.0 297.5 : 49.9 103.8 156.7 200.5 253.8 305.5 351.2 404.4 448.3 501.2 555.1 605.0 654.7 698.6 751.8 803.5 853.7 902.5 951.3 1001.4 1053.1 1106.4 1150.2 1200.0 347.4 : 53.9 106.8 150.6 203.9 255.6 301.3 354.5 398.4 451.3 505.2 555.1 604.9 648.7 702.0 753.6 803.8 852.6 901.4 951.5 1003.2 1056.5 1100.3 1150.1 1200.0 401.3 : 52.9 96.7 150.0 201.7 247.4 300.7 344.5 397.4 451.3 501.2 551.0 594.8 648.1 699.7 749.9 798.7 847.5 897.7 949.3 1002.6 1046.4 1096.2 1146.1 1200.0 454.2 : 43.8 97.1 148.8 194.5 247.7 291.6 344.5 398.4 448.3 498.0 541.9 595.1 646.8 697.0 745.8 794.6 844.7 896.4 949.7 993.5 1043.3 1093.2 1147.1 1200.0 498.0 : 53.3 105.0 150.6 203.9 247.7 300.7 354.5 404.4 454.2 498.0 551.3 603.0 653.2 702.0 750.7 800.9 852.6 905.9 949.7 999.5 1049.4 1103.3 1156.2 1200.0 551.3 : 51.7 97.4 150.6 194.5 247.4 301.3 351.2 400.9 444.8 498.0 549.7 599.9 648.7 697.5 747.6 799.3 852.6 896.4 946.2 996.1 1050.0 1102.9 1146.7 1200.0 603.0 : 45.7 99.0 142.8 195.7 249.6 299.5 349.3 393.1 446.4 498.0 548.2 597.0 645.8 696.0 747.6 800.9 844.7 894.5 944.4 998.3 1051.2 1095.0 1148.3 1200.0 648.7 : 53.3 97.1 150.0 203.9 253.8 303.6 347.4 400.7 452.4 502.5 551.3 600.1 650.3 702.0 755.2 799.1 848.8 898.7 952.6 1005.5 1049.4 1102.6 1154.3 1200.0 702.0 : 43.8 96.7 150.6 200.5 250.3 294.1 347.4 399.1 449.3 498.0 546.8 597.0 648.7 702.0 745.8 795.6 845.5 899.3 952.3 996.1 1049.4 1101.0 1146.7 1200.0 745.8 : 52.9 106.8 156.7 206.5 250.3 303.6 355.3 405.4 454.2 503.0 553.2 604.9 658.1 702.0 751.7 801.6 855.5 908.4 952.3 1005.5 1057.2 1102.9 1156.2 1200.0 798.7 : 53.9 103.8 153.6 197.4 250.7 302.3 352.5 401.3 450.1 500.3 551.9 605.2 649.0 698.8 748.7 802.6 855.5 899.3 952.6 1004.3 1050.0 1103.3 1147.1 1200.0 852.6 : 49.9 99.7 143.5 196.8 248.5 298.6 347.4 396.2 446.4 498.0 551.3 595.1 644.9 694.8 748.7 801.6 845.5 898.7 950.4 996.1 1049.4 1093.2 1146.1 1200.0 902.5 : 49.8 93.6 146.9 198.6 248.7 297.5 346.3 396.5 448.2 501.4 545.3 595.0 644.9 698.8 751.7 795.6 848.8 900.5 946.2 999.5 1043.3 1096.2 1150.1 1200.0 952.3 : 43.8 97.1 148.8 199.0 247.7 296.5 346.7 398.4 451.7 495.5 545.3 595.1 649.0 702.0 745.8 799.1 850.7 896.4 949.7 993.5 1046.4 1100.3 1150.2 1200.0 996.1 : 53.3 105.0 155.1 203.9 252.7 302.9 354.5 407.8 451.7 501.4 551.3 605.2 658.1 702.0 755.2 806.9 852.6 905.9 949.7 1002.6 1056.5 1106.4 1156.2 1200.0 1049.4: 51.7 101.9 150.6 199.4 249.6 301.3 354.5 398.4 448.2 498.0 551.9 604.9 648.7 702.0 753.6 799.3 852.6 896.4 949.3 1003.2 1053.1 1102.9 1146.7 1200.0 1101.0: 50.2 99.0 147.7 197.9 249.6 302.9 346.7 396.5 446.4 500.3 553.2 597.0 650.3 702.0 747.6 800.9 844.7 897.7 951.5 1001.4 1051.2 1095.0 1148.3 1200.0 1151.2: 48.8 97.5 147.7 199.4 252.7 296.5 346.3 396.2 450.1 503.0 546.8 600.1 651.8 697.5 750.7 794.6 847.5 901.4 951.3 1001.0 1044.9 1098.1 1149.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 43.8311 .. 53.8949 cents 10179/10120, 10.0639 cents 40/39, 43.8311 cents 2: 93.6030 .. 106.8060 cents 1053/1045, 13.2030 cents 4807/4698, 39.7081 cents 3: 142.7856 .. 156.7009 cents 2873/2850, 13.9153 cents 8800/8619, 35.9796 cents 4: 194.4681 .. 206.4729 cents 24167/24000, 12.0048 cents 1900/1859, 37.7672 cents 5: 247.3792 .. 255.5925 cents 1479/1472, 8.2133 cents 55200/53911, 40.9063 cents 6: 291.5721 .. 305.4874 cents 2873/2850, 13.9153 cents 8800/8619, 35.9796 cents 7: 344.4832 .. 355.2594 cents 83317/82800, 10.7762 cents 6555/6409, 38.9958 cents 8: 393.0896 .. 407.8200 cents 4131/4096, 14.7304 cents 3840/3757, 37.8302 cents 9: 444.7721 .. 454.2139 cents 1287/1280, 9.4419 cents 8192/8019, 36.9521 cents 10: 495.4821 .. 505.1841 cents 3042/3025, 9.7020 cents 2250/2197, 41.2682 cents 11: 541.8761 .. 555.0790 cents 1053/1045, 13.2030 cents 9680/9477, 36.6919 cents 12: 594.7872 .. 605.2128 cents 68121/67712, 10.4257 cents 4807/4698, 39.7081 cents 13: 644.9210 .. 658.1239 cents 1053/1045, 13.2030 cents 4807/4698, 39.7081 cents 14: 694.8159 .. 704.5179 cents 3042/3025, 9.7020 cents 9680/9477, 36.6919 cents 15: 745.7861 .. 755.2279 cents 1287/1280, 9.4419 cents 2250/2197, 41.2682 cents 16: 792.1800 .. 806.9104 cents 4131/4096, 14.7304 cents 8192/8019, 36.9521 cents 17: 844.7406 .. 855.5168 cents 83317/82800, 10.7762 cents 3840/3757, 37.8302 cents 18: 894.5126 .. 908.4279 cents 2873/2850, 13.9153 cents 6555/6409, 38.9958 cents 19: 944.4075 .. 952.6208 cents 1479/1472, 8.2133 cents 8800/8619, 35.9796 cents 20: 993.5271 .. 1005.5319 cents 24167/24000, 12.0048 cents 55200/53911, 40.9063 cents 21: 1043.2991 .. 1057.2144 cents 2873/2850, 13.9153 cents 1900/1859, 37.7672 cents 22: 1093.1940 .. 1106.3970 cents 1053/1045, 13.2030 cents 8800/8619, 35.9796 cents 23: 1146.1051 .. 1156.1689 cents 10179/10120, 10.0639 cents 4807/4698, 39.7081 cents
SHOW DATA
Number of notes : 24 -- Interval properties -- Smallest interval : 40/39, 43.8311 cents, class 1 Average step (divided formal octave): 50.0000 cents Largest one step interval : 261/253, 53.8949 cents Average / Smallest step : 1.140744 Largest / Average step : 1.077898 Largest / Smallest step : 1.229606 Median interval of one step : 35/34, 50.1842 cents, amount: 2 Least squares average step : 50.01363 cents, oct.: 1200.32721 cents Scale is strictly proper Step pattern alph. order: ABCDEFGHIEDCJDEIHGFEDCBA Step pattern size order : CFGIADEJHAIGBIAHJEDAIGFC Scale is a Constant Structure, by a margin of 35.97964 cents Scale diversity : 1.154368 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.776030 Number of different interval sizes : 242 = 10.52174 / class Number of one step interval sizes : 10 Highest interval variety : 12 Mean interval variety : 10.52174 = 242/23 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 14080/14079, 0.1230 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 11 Most common triad is 0.0 498.045 701.955 cents, amount: 5 Number of recognisable fifths : 24, average 700.0000 cents Scale contains a complete diamond : 1 3 9 11 Formal octave complements present : 23 = 95.8333% Limited transpositions with margin 9.4419 cents: 1 2 3 5 6 7 8 10 12 14 16 17 18 19 21 22 23 Limited inverse transpositions with margin 9.4419 cents: 1 2 3 5 6 7 8 10 12 14 16 17 18 19 21 22 23 -- Rational properties -- Prime limit : 29 Odd number limit : 1225 (O: 1225 U: 1225) Highest odd numerator or denominator: 35 Scale harmonicity : 0.002200 Average absolute harmonicity : 0.097954 Specific harmonicity : 0.038984 Fundamental : too low to compute Guide tone : too high to compute Exponens Consonantiae : 4.821918E+22, 75.35203 octaves Euler's gradus suavitatis : 250 Sum of Mann's harmonic distance : 372.0, average 15.50000 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 25.95294, average 1.08137 Sum of Tenney's harmonic distance : 52.10230, average 2.17093 Vogel's harmonic complexity : too high to compute Wille's k value : too high to compute Wilson's harmonic complexity : 260 Rectangular lattice diameter : 20 Triangular lattice diameter : 4 Lattice compactness : 1080.52351, average 3.60175 Lattice compactness (without 2's) : 657.87204, average 2.19291 Number of different primes : 10 Prime exponents' range, average, count, tones@limit: 2: -4 .. 5 0.41667 42 1 3: -2 .. 2 -0.04167 23 4 5: -1 .. 1 0.00000 6 7: -1 .. 1 0.00000 2 2 11: -1 .. 1 0.00000 6 6 13: -1 .. 1 0.00000 4 4 17: -1 .. 1 0.04167 3 3 19: -1 .. 1 0.00000 2 2 23: -1 .. 1 0.00000 2 29: -1 .. 1 0.00000 2 2 Average exponent except 2's : 0 / 24 = 0.00000 Average absolute exponent except 2's: 50 / 24 = 2.08333 Scale is weakly epimorphic with val: <24 37 56 69 81 88 97 102 107 117| Scale is weakly epimorphic with val: <24 37 56 69 81 88 97 102 108 118| Scale is weakly epimorphic with val: <24 37 56 69 81 88 97 102 109 119| Scale is weakly epimorphic with val: <24 37 56 69 81 88 97 102 110 120| Scale is weakly epimorphic with val: <24 37 57 68 81 89 97 102 107 117| Scale is weakly epimorphic with val: <24 37 57 68 81 89 97 102 108 118| Scale is weakly epimorphic with val: <24 37 57 68 81 89 97 102 109 119| Scale is weakly epimorphic with val: <24 37 57 68 81 89 97 102 110 120| Scale is weakly epimorphic with val: <24 37 57 69 82 87 97 101 107 116| Scale is weakly epimorphic with val: <24 37 57 69 82 87 97 101 108 117| Scale is weakly epimorphic with val: <24 37 57 69 82 87 97 101 109 118| Scale is weakly epimorphic with val: <24 37 57 69 82 87 97 101 110 119| Scale is weakly epimorphic with val: <24 37 57 69 82 87 97 101 111 120| Scale is weakly epimorphic with val: <24 37 57 69 82 88 97 101 107 116| Scale is weakly epimorphic with val: <24 37 57 69 82 88 97 101 108 117| Scale is weakly epimorphic with val: <24 37 57 69 82 88 97 101 109 118| Scale is weakly epimorphic with val: <24 37 57 69 82 88 97 101 110 119| Scale is weakly epimorphic with val: <24 37 57 69 82 88 97 101 111 120| Scale is weakly epimorphic with val: <24 38 55 66 85 87 98 101 107 114| Scale is weakly epimorphic with val: <24 38 55 66 85 87 98 101 108 115| Scale is weakly epimorphic with val: <24 38 55 66 85 87 98 101 109 116| Scale is weakly epimorphic with val: <24 38 55 66 85 87 98 101 110 117| Scale is weakly epimorphic with val: <24 38 55 66 85 87 98 101 111 118| Scale is weakly epimorphic with val: <24 38 55 66 85 87 98 103 109 114| Scale is weakly epimorphic with val: <24 38 55 66 85 87 98 103 110 115| Scale is weakly epimorphic with val: <24 38 55 66 85 87 98 103 111 116| Scale is weakly epimorphic with val: <24 38 55 68 83 87 98 101 107 116| Scale is weakly epimorphic with val: <24 38 55 68 83 87 98 101 108 117| Scale is weakly epimorphic with val: <24 38 55 68 83 87 98 101 109 118| Scale is weakly epimorphic with val: <24 38 55 68 83 87 98 101 110 119| Scale is weakly epimorphic with val: <24 38 55 68 83 87 98 101 111 120| Scale is JI-epimorphic with val: <24 38 55 68 83 88 98 102 107 115| Scale is JI-epimorphic with val: <24 38 55 68 83 88 98 102 108 116| Scale is JI-epimorphic with val: <24 38 55 68 83 88 98 102 109 117| Scale is JI-epimorphic with val: <24 38 55 68 83 88 98 102 110 118| Scale is JI-epimorphic with val: <24 38 55 68 83 88 98 102 111 119| Scale is weakly epimorphic with val: <24 38 55 68 83 88 98 104 108 114| Scale is weakly epimorphic with val: <24 38 55 68 83 88 98 104 109 115| Scale is weakly epimorphic with val: <24 38 55 68 83 88 98 104 110 116| Scale is weakly epimorphic with val: <24 38 55 68 83 88 98 104 111 117| Scale is weakly epimorphic with val: <24 38 56 67 83 88 98 101 107 116| Scale is weakly epimorphic with val: <24 38 56 67 83 88 98 101 108 117| Scale is weakly epimorphic with val: <24 38 56 67 83 88 98 101 109 118| Scale is weakly epimorphic with val: <24 38 56 67 83 88 98 101 110 119| Scale is weakly epimorphic with val: <24 38 56 67 83 88 98 101 111 120| Scale is JI-epimorphic with val: <24 38 56 67 83 89 98 102 107 115| Scale is JI-epimorphic with val: <24 38 56 67 83 89 98 102 108 116| Scale is JI-epimorphic with val: <24 38 56 67 83 89 98 102 109 117| = patent Scale is JI-epimorphic with val: <24 38 56 67 83 89 98 102 110 118| Scale is JI-epimorphic with val: <24 38 56 67 83 89 98 102 111 119| Scale is weakly epimorphic with val: <24 38 56 67 83 89 98 104 108 114| Scale is weakly epimorphic with val: <24 38 56 67 83 89 98 104 109 115| Scale is weakly epimorphic with val: <24 38 56 67 83 89 98 104 110 116| Scale is weakly epimorphic with val: <24 38 56 67 83 89 98 104 111 117| Scale is weakly epimorphic with val: <24 38 56 69 83 88 98 101 107 116| Scale is weakly epimorphic with val: <24 38 56 69 83 88 98 101 108 117| Scale is weakly epimorphic with val: <24 38 56 69 83 88 98 101 109 118| Scale is weakly epimorphic with val: <24 38 56 69 83 88 98 101 110 119| Scale is weakly epimorphic with val: <24 38 56 69 83 88 98 101 111 120| Scale is weakly epimorphic with val: <24 38 56 69 83 89 98 102 107 115| Scale is weakly epimorphic with val: <24 38 56 69 83 89 98 102 108 116| Scale is weakly epimorphic with val: <24 38 56 69 83 89 98 102 109 117| Scale is weakly epimorphic with val: <24 38 56 69 83 89 98 102 110 118| Scale is weakly epimorphic with val: <24 38 56 69 83 89 98 102 111 119| Scale is weakly epimorphic with val: <24 38 56 69 83 89 98 104 108 114| Scale is weakly epimorphic with val: <24 38 56 69 83 89 98 104 109 115| Scale is weakly epimorphic with val: <24 38 56 69 83 89 98 104 110 116| Scale is weakly epimorphic with val: <24 38 56 69 83 89 98 104 111 117| Scale is weakly epimorphic with val: <24 38 57 66 83 87 98 101 107 116| Scale is weakly epimorphic with val: <24 38 57 66 83 87 98 101 108 117| Scale is weakly epimorphic with val: <24 38 57 66 83 87 98 101 109 118| Scale is weakly epimorphic with val: <24 38 57 66 83 87 98 101 110 119| Scale is weakly epimorphic with val: <24 38 57 66 83 87 98 101 111 120| Scale is weakly epimorphic with val: <24 38 57 66 83 89 98 101 107 116| Scale is weakly epimorphic with val: <24 38 57 66 83 89 98 101 108 117| Scale is weakly epimorphic with val: <24 38 57 66 83 89 98 101 109 118| Scale is weakly epimorphic with val: <24 38 57 66 83 89 98 101 110 119| Scale is weakly epimorphic with val: <24 38 57 66 83 89 98 101 111 120| Scale is JI-epimorphic with val: <24 38 57 66 83 90 98 102 107 115| Scale is JI-epimorphic with val: <24 38 57 66 83 90 98 102 108 116| Scale is JI-epimorphic with val: <24 38 57 66 83 90 98 102 109 117| Scale is JI-epimorphic with val: <24 38 57 66 83 90 98 102 110 118| Scale is JI-epimorphic with val: <24 38 57 66 83 90 98 102 111 119| Scale is weakly epimorphic with val: <24 38 57 66 83 90 98 104 108 114| Scale is weakly epimorphic with val: <24 38 57 66 83 90 98 104 109 115| Scale is weakly epimorphic with val: <24 38 57 66 83 90 98 104 110 116| Scale is weakly epimorphic with val: <24 38 57 66 83 90 98 104 111 117| Scale is weakly epimorphic with val: <24 38 57 68 83 87 98 101 107 116| Scale is weakly epimorphic with val: <24 38 57 68 83 87 98 101 108 117| Scale is weakly epimorphic with val: <24 38 57 68 83 87 98 101 109 118| Scale is weakly epimorphic with val: <24 38 57 68 83 87 98 101 110 119| Scale is weakly epimorphic with val: <24 38 57 68 83 87 98 101 111 120| Scale is weakly epimorphic with val: <24 38 57 68 83 89 98 101 107 116| Scale is weakly epimorphic with val: <24 38 57 68 83 89 98 101 108 117| Scale is weakly epimorphic with val: <24 38 57 68 83 89 98 101 109 118| Scale is weakly epimorphic with val: <24 38 57 68 83 89 98 101 110 119| Scale is weakly epimorphic with val: <24 38 57 68 83 89 98 101 111 120| Scale is weakly epimorphic with val: <24 38 57 68 83 90 98 102 107 115| Scale is weakly epimorphic with val: <24 38 57 68 83 90 98 102 108 116| Scale is weakly epimorphic with val: <24 38 57 68 83 90 98 102 109 117| Scale is weakly epimorphic with val: <24 38 57 68 83 90 98 102 110 118| Scale is weakly epimorphic with val: <24 38 57 68 83 90 98 102 111 119| Scale is weakly epimorphic with val: <24 38 57 68 83 90 98 104 108 114| Scale is weakly epimorphic with val: <24 38 57 68 83 90 98 104 109 115| Scale is weakly epimorphic with val: <24 38 57 68 83 90 98 104 110 116| Scale is weakly epimorphic with val: <24 38 57 68 83 90 98 104 111 117| Scale is weakly epimorphic with val: <24 39 56 69 85 90 99 100 107 115| Scale is weakly epimorphic with val: <24 39 56 69 85 90 99 100 108 116| Scale is weakly epimorphic with val: <24 39 56 69 85 90 99 100 109 117| Scale is weakly epimorphic with val: <24 39 56 69 85 90 99 100 110 118| Scale is weakly epimorphic with val: <24 39 56 69 85 90 99 100 111 119| Scale is weakly epimorphic with val: <24 39 56 69 85 90 99 104 110 114| Scale is weakly epimorphic with val: <24 39 56 69 85 90 99 104 111 115| Scale is weakly epimorphic with val: <24 39 57 68 85 91 99 100 107 115| Scale is weakly epimorphic with val: <24 39 57 68 85 91 99 100 108 116| Scale is weakly epimorphic with val: <24 39 57 68 85 91 99 100 109 117| Scale is weakly epimorphic with val: <24 39 57 68 85 91 99 100 110 118| Scale is weakly epimorphic with val: <24 39 57 68 85 91 99 100 111 119| Scale is weakly epimorphic with val: <24 39 57 68 85 91 99 104 110 114| Scale is weakly epimorphic with val: <24 39 57 68 85 91 99 104 111 115|
FIT/MODE
24: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 2.3420 c. M: 4.2139 c. 122: 5 5 5 6 4 5 5 6 5 5 5 5 5 5 5 5 6 5 5 4 6 5 5 5 SP D3 I SD: 2.2538 c. M:-3.5943 c. 135: 5 6 6 6 5 5 6 6 6 5 6 6 5 6 5 6 6 6 5 5 6 6 6 5 SP SD: 1.9056 c. M:-4.3259 c. 145: 6 6 6 7 5 6 6 6 7 5 7 6 5 7 5 7 6 6 6 5 7 6 6 6 SP SD: 1.9022 c. M: 4.0615 c. 146: 6 6 6 7 5 6 6 7 6 6 6 6 6 6 6 6 7 6 6 5 7 6 6 6 SP D3 I SD: 1.8627 c. M:-3.3249 c. 159: 6 7 7 7 6 6 7 7 7 6 7 7 6 7 6 7 7 7 6 6 7 7 7 6 SP SD: 1.5518 c. M:-3.4874 c. 168: 7 7 7 8 6 7 7 7 8 6 7 7 7 7 6 8 7 7 7 6 8 7 7 7 SP I SD: 2.0778 c. M:-3.2329 c. 169: 7 7 7 8 6 7 7 8 7 6 8 7 6 8 6 7 8 7 7 6 8 7 7 7 SP SD: 1.5327 c. M: 3.4309 c. 170: 7 7 7 8 6 7 7 8 7 7 7 7 7 7 7 7 8 7 7 6 8 7 7 7 SP D3 I SD: 1.6495 c. M:-3.1315 c. 174: 7 7 8 8 6 7 7 8 8 6 8 7 7 8 6 8 8 7 7 6 8 8 7 7 SP I SD: 1.6708 c. M: 3.0004 c. 183: 7 8 8 8 7 7 8 8 8 7 8 8 7 8 7 8 8 8 7 7 8 8 8 7 SP SD: 1.3595 c. M:-2.8687 c. 191: 8 8 8 8 7 8 8 9 8 7 9 8 7 9 7 8 9 8 8 7 8 8 8 8 SP SD: 1.7825 c. M:-2.8629 c. 193: 8 8 8 9 7 8 8 9 8 7 9 8 7 9 7 8 9 8 8 7 9 8 8 8 SP SD: 1.2922 c. M: 2.8422 c. 205: 8 9 9 9 7 9 8 10 9 7 9 9 8 9 7 9 10 8 9 7 9 9 9 8 SP SD: 1.5810 c. M: 2.5996 c. 207: 8 9 9 9 8 8 9 9 9 8 9 9 8 9 8 9 9 9 8 8 9 9 9 8 SP SD: 1.2710 c. M:-2.3936 c. 217: 9 9 9 10 8 9 9 10 9 8 10 9 8 10 8 9 10 9 9 8 10 9 9 9 SP SD: 1.1625 c. M: 2.3838 c. 222: 9 9 10 10 8 9 9 10 10 8 10 10 8 10 8 10 10 9 9 8 10 10 9 9 SP SD: 1.0681 c. M:-2.4050 c. 229: 9 10 10 10 8 10 9 11 10 8 10 10 9 10 8 10 11 9 10 8 10 10 10 9 SP SD: 1.2848 c. M: 2.1906 c. 231: 9 10 10 10 9 9 10 10 10 9 10 10 9 10 9 10 10 10 9 9 10 10 10 9 SP SD: 1.2463 c. M: 2.2659 c. 241: 10 10 10 11 9 10 10 11 10 9 11 10 9 11 9 10 11 10 10 9 11 10 10 10 SP SD: 1.1086 c. M: 2.0167 c. 246: 10 10 11 11 9 10 10 11 11 9 11 11 9 11 9 11 11 10 10 9 11 11 10 10 SP SD: 0.8875 c. M:-1.8776 c. 253: 10 11 11 11 9 11 10 12 11 9 11 11 10 11 9 11 12 10 11 9 11 11 11 10 SP SD: 1.0781 c. M: 1.8592 c. 265: 11 11 11 12 10 11 11 12 11 10 12 11 10 12 10 11 12 11 11 10 12 11 11 11 SP SD: 1.1031 c. M: 1.7160 c. 266: 11 11 11 12 10 11 11 12 12 9 12 12 10 12 9 12 12 11 11 10 12 11 11 11 SP SD: 1.0124 c. M: 1.8044 c. 270: 11 11 12 12 10 11 11 12 12 10 12 12 10 12 10 12 12 11 11 10 12 12 11 11 SP SD: 0.7893 c. M:-1.4440 c. 294: 12 12 13 13 11 12 12 13 13 11 13 13 11 13 11 13 13 12 12 11 13 13 12 12 SP SD: 0.7567 c. M: 1.3028 c. 328: 13 14 14 15 12 13 14 15 14 12 15 14 12 15 12 14 15 14 13 12 15 14 14 13 SP SD: 0.8475 c. M:-1.2094 c. 335: 14 14 14 15 12 14 14 15 15 12 15 14 13 15 12 15 15 14 14 12 15 14 14 14 SP SD: 0.6809 c. M:-1.3789 c. 352: 14 15 15 16 13 14 15 16 15 13 16 15 13 16 13 15 16 15 14 13 16 15 15 14 SP SD: 0.7529 c. M:-1.1226 c. 359: 15 15 15 16 13 15 15 16 16 13 16 15 14 16 13 16 16 15 15 13 16 15 15 15 SP SD: 0.6446 c. M:-1.3689 c. 388: 16 16 17 17 14 16 16 18 17 14 17 17 15 17 14 17 18 16 16 14 17 17 16 16 SP SD: 0.5986 c. M: 1.0162 c. 412: 17 17 18 18 15 17 17 19 18 15 18 18 16 18 15 18 19 17 17 15 18 18 17 17 SP SD: 0.5180 c. M: 0.8325 c. 436: 18 18 19 19 16 18 18 20 19 16 19 19 17 19 16 19 20 18 18 16 19 19 18 18 SP SD: 0.4781 c. M:-0.8592 c. 460: 19 19 20 20 17 19 19 21 20 17 20 20 18 20 17 20 21 19 19 17 20 20 19 19 SP SD: 0.4747 c. M: 0.8832 c. 470: 19 20 20 21 17 19 20 21 21 17 21 20 18 21 17 21 21 19 20 17 21 20 20 19 SP SD: 0.4717 c. M: 1.3428 c. 494: 20 21 21 22 18 20 21 22 22 18 22 21 19 22 18 22 22 20 21 18 22 21 21 20 SP SD: 0.4443 c. M: 1.2724 c. 518: 21 22 22 23 19 21 22 23 23 19 23 22 20 23 19 23 23 22 21 19 23 22 22 21 SP SD: 0.4081 c. M:-0.9879 c. 557: 23 23 24 25 20 23 23 25 25 20 25 24 21 25 20 25 25 23 23 20 25 24 23 23 SP SD: 0.4347 c. M:-0.7808 c. 581: 24 24 25 26 21 24 24 26 26 21 26 25 22 26 21 26 26 24 24 21 26 25 24 24 SP SD: 0.3788 c. M:-0.7993 c. 605: 25 25 26 27 22 25 25 27 27 22 27 26 23 27 22 27 27 25 25 22 27 26 25 25 SP SD: 0.3489 c. M:-0.8164 c. 629: 26 26 27 28 23 26 26 28 28 23 28 27 24 28 23 28 28 26 26 23 28 27 26 26 SP SD: 0.3446 c. M:-0.8322 c. 640: 26 27 27 29 23 27 26 29 28 24 28 28 24 28 24 28 29 26 27 23 29 27 27 26 SP SD: 0.4579 c. M:-0.7496 c. 645: 26 27 28 29 23 27 27 29 28 24 28 28 25 28 24 28 29 27 27 23 29 28 27 26 SP SD: 0.4375 c. M:-0.7412 c. 653: 27 27 28 29 24 27 27 29 29 24 29 28 25 29 24 29 29 27 27 24 29 28 27 27 SP SD: 0.3616 c. M:-0.8468 c. 655: 27 27 28 29 24 27 28 29 29 24 29 28 25 29 24 29 29 28 27 24 29 28 27 27 SP SD: 0.4340 c. M:-0.7191 c. 663: 27 28 28 30 24 27 28 30 29 24 30 28 25 30 24 29 30 28 27 24 30 28 28 27 SP SD: 0.4422 c. M: 0.7183 c. 669: 27 28 29 30 24 28 28 30 29 25 29 29 26 29 25 29 30 28 28 24 30 29 28 27 SP SD: 0.4290 c. M: 0.6453 c. 670: 27 28 29 30 24 28 28 30 30 24 30 29 25 30 24 30 30 28 28 24 30 29 28 27 SP SD: 0.3724 c. M: 0.7114 c. 694: 28 29 30 31 25 29 29 31 31 25 31 30 26 31 25 31 31 29 29 25 31 30 29 28 SP SD: 0.3023 c. M: 0.5411 c. 718: 29 30 31 32 26 30 30 32 32 26 32 31 27 32 26 32 32 30 30 26 32 31 30 29 SP SD: 0.2495 c. M:-0.3873 c. 742: 30 31 32 33 27 31 31 33 33 27 33 32 28 33 27 33 33 31 31 27 33 32 31 30 SP SD: 0.2194 c. M:-0.3023 c. 766: 31 32 33 34 28 32 32 34 34 28 34 33 29 34 28 34 34 32 32 28 34 33 32 31 SP SD: 0.2154 c. M: 0.3727 c. 1106: 45 46 48 49 40 46 46 50 49 40 49 48 42 49 40 49 50 46 46 40 49 48 46 45 SP SD: 0.2135 c. M: 0.3973 c. 1130: 46 47 49 50 41 47 47 51 50 41 50 49 43 50 41 50 51 47 47 41 50 49 47 46 SP SD: 0.1738 c. M:-0.3074 c. 1154: 47 48 50 51 42 48 48 52 51 42 51 50 44 51 42 51 52 48 48 42 51 50 48 47 SP SD: 0.1444 c. M: 0.2541 c. 1178: 48 49 51 52 43 49 49 53 52 43 52 51 45 52 43 52 53 49 49 43 52 51 49 48 SP SD: 0.1294 c. M: 0.2144 c. 1554: 63 65 67 69 57 64 65 70 68 57 69 67 59 69 57 68 70 65 64 57 69 67 65 63 SP SD: 0.1273 c. M: 0.2416 c. 1648: 67 69 71 73 60 69 68 74 73 60 73 71 63 73 60 73 74 68 69 60 73 71 69 67 SP SD: 0.1250 c. M: 0.3025 c. 1783: 72 75 77 79 65 74 74 80 79 65 79 77 68 79 65 79 80 74 74 65 79 77 75 72 SP SD: 0.1249 c. M:-0.3127 c. 1807: 73 76 78 80 66 75 75 81 80 66 80 78 69 80 66 80 81 75 75 66 80 78 76 73 SP SD: 0.1170 c. M:-0.2922 c. 1889: 77 79 81 84 69 78 79 85 83 69 84 81 72 84 69 83 85 79 78 69 84 81 79 77 SP SD: 0.1116 c. M:-0.2129 c. 1913: 78 80 82 85 70 79 80 86 84 70 85 82 73 85 70 84 86 80 79 70 85 82 80 78 SP SD: 0.1134 c. M:-0.1790 c. 1952: 79 82 84 87 71 81 81 88 86 71 87 84 74 87 71 86 88 81 81 71 87 84 82 79 SP SD: 0.1060 c. M:-0.2048 c. 1976: 80 83 85 88 72 82 82 89 87 72 88 85 75 88 72 87 89 82 82 72 88 85 83 80 SP SD: 0.0875 c. M:-0.1874 c. 2000: 81 84 86 89 73 83 83 90 88 73 89 86 76 89 73 88 90 83 83 73 89 86 84 81 SP SD: 0.0764 c. M:-0.1704 c. 2024: 82 85 87 90 74 84 84 91 89 74 90 87 77 90 74 89 91 84 84 74 90 87 85 82 SP SD: 0.0751 c. M:-0.1538 c. 2048: 83 86 88 91 75 85 85 92 90 75 91 88 78 91 75 90 92 85 85 75 91 88 86 83 SP SD: 0.0834 c. M:-0.1432 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.0000 cents 3 .. 6 match: 3 H SD: 6.0428 cents 4 .. 8 match: 4 H SD: 5.5854 cents 5 .. 10 match: 5 H SD: 7.5779 cents 6 .. 12 match: 6 H SD: 4.3925 cents 7 .. 14 match: 7 H SD: 6.3533 cents 8 .. 16 match: 8 H SD: 3.5530 cents 9 .. 18 match: 9 H SD: 4.0103 cents 10 .. 20 match: 10 H SD: 4.4789 cents 11 .. 22 match: 11 H SD: 3.1255 cents 12 .. 24 match: 12 H SD: 3.6984 cents 13 .. 26 match: 13 H SD: 3.5355 cents 14 .. 28 match: 14 H SD: 4.1311 cents 15 .. 30 match: 15 H SD: 3.5974 cents 16 .. 32 match: 16 H SD: 3.2209 cents 17 .. 34 match: 17 H SD: 3.1383 cents 18 .. 36 match: 18 H SD: 3.2302 cents 19 .. 38 match: 19 H SD: 2.6355 cents 20 .. 40 match: 20 H SD: 3.1161 cents 21 .. 42 match: 20 SD: 3.5478 cents 22 .. 44 match: 21 S SD: 2.4441 cents 23 .. 46 match: 20 SD: 3.2773 cents 24 .. 48 match: 22 SD: 2.4978 cents 25 .. 50 match: 21 SD: 3.4684 cents 26 .. 52 match: 23 SD: 2.3621 cents 27 .. 54 match: 23 SD: 2.5982 cents 28 .. 56 match: 23 SD: 2.9141 cents 29 .. 58 match: 23 SD: 2.9152 cents 30 .. 60 match: 24 SD: 2.3481 cents 31 .. 62 match: 24 SD: 1.9063 cents 32 .. 64 match: 24 SD: 1.8886 cents 33 .. 66 match: 24 SD: 1.8716 cents 37 .. 74 match: 24 SD: 1.8617 cents 38 .. 76 match: 24 SD: 1.8401 cents 41 .. 82 match: 24 SD: 1.6919 cents 46 .. 92 match: 24 SD: 1.3854 cents 53 .. 106 match: 24 SD: 1.2294 cents 54 .. 108 match: 24 SD: 1.1934 cents 58 .. 116 match: 24 SD: 1.1898 cents 63 .. 126 match: 24 SD: 1.0575 cents 64 .. 128 match: 24 SD: 0.9370 cents 70 .. 140 match: 24 SD: 0.9190 cents 72 .. 144 match: 24 SD: 0.8105 cents 80 .. 160 match: 24 SD: 0.7478 cents 90 .. 180 match: 24 SD: 0.7456 cents 96 .. 192 match: 24 SD: 0.6262 cents 104 .. 208 match: 24 SD: 0.5847 cents 112 .. 224 match: 24 SD: 0.5706 cents 123 .. 246 match: 24 SD: 0.5508 cents 130 .. 260 match: 24 SD: 0.4574 cents 134 .. 268 match: 24 SD: 0.4474 cents 143 .. 286 match: 24 SD: 0.4165 cents 154 .. 308 match: 24 SD: 0.3800 cents 174 .. 348 match: 24 SD: 0.3800 cents 176 .. 352 match: 24 SD: 0.2824 cents 234 .. 468 match: 24 SD: 0.2353 cents 240 .. 480 match: 24 SD: 0.1990 cents 288 .. 576 match: 24 SD: 0.1411 cents 442 .. 884 match: 24 SD: 0.1387 cents 449 .. 898 match: 24 SD: 0.1378 cents 464 .. 928 match: 24 SD: 0.1282 cents 486 .. 972 match: 24 SD: 0.1251 cents 494 .. 988 match: 24 SD: 0.1214 cents 522 .. 1044 match: 24 SD: 0.1183 cents 526 .. 1052 match: 24 SD: 0.1054 cents 528 .. 1056 match: 24 SD: 0.0993 cents 594 .. 1188 match: 24 SD: 0.0932 cents