Scala analysis: xen11-garcia-linear-29
Linear series of alternating 15/13 and 52/45
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 40/39 43.831051 tridecimal minor diesis 2: 27/26 65.337341 tridecimal comma 3: 16/15 111.731285 minor diatonic semitone 4: 128/117 155.562336 5: 9/8 203.910002 major whole tone 6: 15/13 247.741053 tridecimal 5/4-tone 7: 32/27 294.134997 Pythagorean minor third 8: 6/5 315.641287 minor third 9: 16/13 359.472338 tridecimal neutral third 10: 81/64 407.820003 Pythagorean major third 11: 135/104 451.651055 12: 4/3 498.044999 perfect fourth 13: 160/117 541.876050 14: 18/13 563.382340 tridecimal augmented fourth 15: 64/45 609.776284 2nd tritone 16: 512/351 653.607336 17: 3/2 701.955001 perfect fifth 18: 20/13 745.786052 tridecimal semi-augmented fifth 19: 81/52 767.292342 20: 8/5 813.686286 minor sixth 21: 64/39 857.517337 39th subharmonic 22: 27/16 905.865003 Pythagorean major sixth 23: 45/26 949.696054 24: 16/9 996.089998 Pythagorean minor seventh 25: 9/5 1017.596288 just minor seventh, BP seventh 26: 24/13 1061.427339 tridecimal neutral seventh 27: 256/135 1107.821284 octave - major chroma 28: 405/208 1153.606056 29: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 416/405 46.3939 1: 40/39 43.8311 tridecimal minor diesis 2: 81/80 21.5063 syntonic comma, Didymus comma 3: 416/405 46.3939 4: 40/39 43.8311 tridecimal minor diesis 5: 1053/1024 48.3477 tridecimal major diesis 6: 40/39 43.8311 tridecimal minor diesis 7: 416/405 46.3939 8: 81/80 21.5063 syntonic comma, Didymus comma 9: 40/39 43.8311 tridecimal minor diesis 10: 1053/1024 48.3477 tridecimal major diesis 11: 40/39 43.8311 tridecimal minor diesis 12: 416/405 46.3939 13: 40/39 43.8311 tridecimal minor diesis 14: 81/80 21.5063 syntonic comma, Didymus comma 15: 416/405 46.3939 16: 40/39 43.8311 tridecimal minor diesis 17: 1053/1024 48.3477 tridecimal major diesis 18: 40/39 43.8311 tridecimal minor diesis 19: 81/80 21.5063 syntonic comma, Didymus comma 20: 416/405 46.3939 21: 40/39 43.8311 tridecimal minor diesis 22: 1053/1024 48.3477 tridecimal major diesis 23: 40/39 43.8311 tridecimal minor diesis 24: 416/405 46.3939 25: 81/80 21.5063 syntonic comma, Didymus comma 26: 40/39 43.8311 tridecimal minor diesis 27: 416/405 46.3939 28: 54675/53248 45.7848 29: 416/405 46.3939
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 81/80 21.506 cents syntonic comma, Didymus comma 1: 11 40/39 43.831 cents tridecimal minor diesis 1: 1 54675/53248 45.785 cents 1: 8 416/405 46.394 cents 1: 4 1053/1024 48.348 cents tridecimal major diesis 2: 5 27/26 65.337 cents tridecimal comma 2: 5 26/25 67.900 cents tridecimal 1/3-tone 2: 9 256/243 90.225 cents limma, Pythagorean minor second 2: 10 135/128 92.179 cents major chroma, major limma 3: 13 16/15 111.731 cents minor diatonic semitone 3: 2 2187/2048 113.685 cents apotome 3: 1 10240/9477 134.056 cents 3: 6 225/208 136.010 cents 3: 7 13/12 138.573 cents tridecimal 2/3-tone 4: 6 128/117 155.562 cents 4: 4 3645/3328 157.516 cents 4: 3 6656/6075 158.125 cents 4: 7 351/320 160.079 cents 4: 9 10/9 182.404 cents minor whole tone 5: 4 4096/3645 201.956 cents narrow diminished third 5: 21 9/8 203.910 cents major whole tone 5: 2 400/351 226.235 cents 5: 2 832/729 228.798 cents 6: 1 729/640 225.416 cents acute major second 6: 1 32768/28431 245.787 cents 6: 13 15/13 247.741 cents tridecimal 5/4-tone 6: 12 52/45 250.304 cents 6: 2 9477/8192 252.258 cents 7: 3 243/208 269.247 cents 7: 3 117/100 271.810 cents 7: 17 32/27 294.135 cents Pythagorean minor third 7: 6 1215/1024 296.089 cents wide augmented second 8: 11 6/5 315.641 cents minor third 8: 5 1280/1053 337.966 cents 8: 4 2025/1664 339.920 cents 8: 2 13312/10935 340.529 cents 8: 7 39/32 342.483 cents 39th harmonic, Zalzal wosta of Ibn Sina 9: 8 16/13 359.472 cents tridecimal neutral third 9: 5 832/675 362.035 cents 9: 3 3159/2560 363.989 cents 9: 13 5/4 386.314 cents major third 10: 8 512/405 405.866 cents narrow diminished fourth 10: 13 81/64 407.820 cents Pythagorean major third 10: 4 50/39 430.145 cents 10: 4 104/81 432.708 cents 11: 3 4096/3159 449.697 cents 11: 10 135/104 451.651 cents 11: 13 13/10 454.214 cents tridecimal semi-diminished fourth 11: 3 320/243 476.539 cents grave fourth 12: 1 2187/1664 473.157 cents 12: 1 1053/800 475.720 cents 12: 25 4/3 498.045 cents perfect fourth 12: 2 10935/8192 499.999 cents fourth + schisma, 5-limit approximation to ET fourth 13: 7 27/20 519.551 cents acute fourth 13: 9 160/117 541.876 cents 13: 2 18225/13312 543.830 cents 13: 6 1664/1215 544.439 cents 13: 5 351/256 546.393 cents 14: 6 18/13 563.382 cents tridecimal augmented fourth 14: 6 104/75 565.945 cents 14: 5 1024/729 588.270 cents Pythagorean diminished fifth 14: 12 45/32 590.224 cents diatonic tritone 15: 12 64/45 609.776 cents 2nd tritone 15: 5 729/512 611.730 cents Pythagorean tritone 15: 6 75/52 634.055 cents 15: 6 13/9 636.618 cents tridecimal diminished fifth 16: 5 512/351 653.607 cents 16: 6 1215/832 655.561 cents 16: 2 26624/18225 656.170 cents 16: 9 117/80 658.124 cents 16: 7 40/27 680.449 cents grave fifth 17: 2 16384/10935 700.001 cents fifth - schisma, 5-limit approximation to ET fifth 17: 25 3/2 701.955 cents perfect fifth 17: 1 1600/1053 724.280 cents 17: 1 3328/2187 726.843 cents 18: 3 243/160 723.461 cents acute fifth 18: 13 20/13 745.786 cents tridecimal semi-augmented fifth 18: 10 208/135 748.349 cents 18: 3 3159/2048 750.303 cents 19: 4 81/52 767.292 cents 19: 4 39/25 769.855 cents 19: 13 128/81 792.180 cents Pythagorean minor sixth 19: 8 405/256 794.134 cents wide augmented fifth 20: 13 8/5 813.686 cents minor sixth 20: 3 5120/3159 836.011 cents 20: 5 675/416 837.965 cents 20: 8 13/8 840.528 cents tridecimal neutral sixth 21: 7 64/39 857.517 cents 39th subharmonic 21: 2 10935/6656 859.471 cents 21: 4 3328/2025 860.080 cents 21: 5 1053/640 862.034 cents 21: 11 5/3 884.359 cents major sixth, BP sixth 22: 6 2048/1215 903.911 cents narrow diminished seventh 22: 17 27/16 905.865 cents Pythagorean major sixth 22: 3 200/117 928.190 cents 22: 3 416/243 930.753 cents 23: 2 16384/9477 947.742 cents 23: 12 45/26 949.696 cents 23: 13 26/15 952.259 cents tridecimal semi-augmented sixth 23: 1 28431/16384 954.213 cents 23: 1 1280/729 974.584 cents grave minor seventh 24: 2 729/416 971.202 cents 24: 2 351/200 973.765 cents 24: 21 16/9 996.090 cents Pythagorean minor seventh 24: 4 3645/2048 998.044 cents wide augmented sixth 25: 9 9/5 1017.596 cents just minor seventh, BP seventh 25: 7 640/351 1039.921 cents 25: 3 6075/3328 1041.875 cents 25: 4 6656/3645 1042.484 cents 25: 6 117/64 1044.438 cents 26: 7 24/13 1061.427 cents tridecimal neutral seventh 26: 6 416/225 1063.990 cents 26: 1 9477/5120 1065.944 cents 26: 2 4096/2187 1086.315 cents Pythagorean diminished octave 26: 13 15/8 1088.269 cents classic major seventh 27: 10 256/135 1107.821 cents octave - major chroma 27: 9 243/128 1109.775 cents Pythagorean major seventh 27: 5 25/13 1132.100 cents 27: 5 52/27 1134.663 cents 28: 4 2048/1053 1151.652 cents 28: 8 405/208 1153.606 cents 28: 1 106496/54675 1154.215 cents 28: 11 39/20 1156.169 cents 28: 5 160/81 1178.494 cents octave - syntonic comma Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.42857 = 31/7
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 25 26 27 28 29 0.0 : 43.8 65.3 111.7 155.6 203.9 247.7 294.1 315.6 359.5 407.8 451.7 498.0 541.9 563.4 609.8 653.6 702.0 745.8 767.3 813.7 857.5 905.9 949.7 996.1 1017.6 1061.4 1107.8 1153.6 1200.0 43.8 : 21.5 67.9 111.7 160.1 203.9 250.3 271.8 315.6 364.0 407.8 454.2 498.0 519.6 565.9 609.8 658.1 702.0 723.5 769.9 813.7 862.0 905.9 952.3 973.8 1017.6 1064.0 1109.8 1156.2 1200.0 65.3 : 46.4 90.2 138.6 182.4 228.8 250.3 294.1 342.5 386.3 432.7 476.5 498.0 544.4 588.3 636.6 680.4 702.0 748.3 792.2 840.5 884.4 930.8 952.3 996.1 1042.5 1088.3 1134.7 1178.5 1200.0 111.7 : 43.8 92.2 136.0 182.4 203.9 247.7 296.1 339.9 386.3 430.1 451.7 498.0 541.9 590.2 634.1 655.6 702.0 745.8 794.1 838.0 884.4 905.9 949.7 996.1 1041.9 1088.3 1132.1 1153.6 1200.0 155.6 : 48.3 92.2 138.6 160.1 203.9 252.3 296.1 342.5 386.3 407.8 454.2 498.0 546.4 590.2 611.7 658.1 702.0 750.3 794.1 840.5 862.0 905.9 952.3 998.0 1044.4 1088.3 1109.8 1156.2 1200.0 203.9 : 43.8 90.2 111.7 155.6 203.9 247.7 294.1 338.0 359.5 405.9 449.7 498.0 541.9 563.4 609.8 653.6 702.0 745.8 792.2 813.7 857.5 903.9 949.7 996.1 1039.9 1061.4 1107.8 1151.7 1200.0 247.7 : 46.4 67.9 111.7 160.1 203.9 250.3 294.1 315.6 362.0 405.9 454.2 498.0 519.6 565.9 609.8 658.1 702.0 748.3 769.9 813.7 860.1 905.9 952.3 996.1 1017.6 1064.0 1107.8 1156.2 1200.0 294.1 : 21.5 65.3 113.7 157.5 203.9 247.7 269.2 315.6 359.5 407.8 451.7 473.2 519.6 563.4 611.7 655.6 702.0 723.5 767.3 813.7 859.5 905.9 949.7 971.2 1017.6 1061.4 1109.8 1153.6 1200.0 315.6 : 43.8 92.2 136.0 182.4 226.2 247.7 294.1 338.0 386.3 430.1 451.7 498.0 541.9 590.2 634.1 680.4 702.0 745.8 792.2 838.0 884.4 928.2 949.7 996.1 1039.9 1088.3 1132.1 1178.5 1200.0 359.5 : 48.3 92.2 138.6 182.4 203.9 250.3 294.1 342.5 386.3 407.8 454.2 498.0 546.4 590.2 636.6 658.1 702.0 748.3 794.1 840.5 884.4 905.9 952.3 996.1 1044.4 1088.3 1134.7 1156.2 1200.0 407.8 : 43.8 90.2 134.1 155.6 202.0 245.8 294.1 338.0 359.5 405.9 449.7 498.0 541.9 588.3 609.8 653.6 700.0 745.8 792.2 836.0 857.5 903.9 947.7 996.1 1039.9 1086.3 1107.8 1151.7 1200.0 451.7 : 46.4 90.2 111.7 158.1 202.0 250.3 294.1 315.6 362.0 405.9 454.2 498.0 544.4 565.9 609.8 656.2 702.0 748.3 792.2 813.7 860.1 903.9 952.3 996.1 1042.5 1064.0 1107.8 1156.2 1200.0 498.0 : 43.8 65.3 111.7 155.6 203.9 247.7 269.2 315.6 359.5 407.8 451.7 498.0 519.6 563.4 609.8 655.6 702.0 745.8 767.3 813.7 857.5 905.9 949.7 996.1 1017.6 1061.4 1109.8 1153.6 1200.0 541.9 : 21.5 67.9 111.7 160.1 203.9 225.4 271.8 315.6 364.0 407.8 454.2 475.7 519.6 565.9 611.7 658.1 702.0 723.5 769.9 813.7 862.0 905.9 952.3 973.8 1017.6 1065.9 1109.8 1156.2 1200.0 563.4 : 46.4 90.2 138.6 182.4 203.9 250.3 294.1 342.5 386.3 432.7 454.2 498.0 544.4 590.2 636.6 680.4 702.0 748.3 792.2 840.5 884.4 930.8 952.3 996.1 1044.4 1088.3 1134.7 1178.5 1200.0 609.8 : 43.8 92.2 136.0 157.5 203.9 247.7 296.1 339.9 386.3 407.8 451.7 498.0 543.8 590.2 634.1 655.6 702.0 745.8 794.1 838.0 884.4 905.9 949.7 998.0 1041.9 1088.3 1132.1 1153.6 1200.0 653.6 : 48.3 92.2 113.7 160.1 203.9 252.3 296.1 342.5 364.0 407.8 454.2 500.0 546.4 590.2 611.7 658.1 702.0 750.3 794.1 840.5 862.0 905.9 954.2 998.0 1044.4 1088.3 1109.8 1156.2 1200.0 702.0 : 43.8 65.3 111.7 155.6 203.9 247.7 294.1 315.6 359.5 405.9 451.7 498.0 541.9 563.4 609.8 653.6 702.0 745.8 792.2 813.7 857.5 905.9 949.7 996.1 1039.9 1061.4 1107.8 1151.7 1200.0 745.8 : 21.5 67.9 111.7 160.1 203.9 250.3 271.8 315.6 362.0 407.8 454.2 498.0 519.6 565.9 609.8 658.1 702.0 748.3 769.9 813.7 862.0 905.9 952.3 996.1 1017.6 1064.0 1107.8 1156.2 1200.0 767.3 : 46.4 90.2 138.6 182.4 228.8 250.3 294.1 340.5 386.3 432.7 476.5 498.0 544.4 588.3 636.6 680.4 726.8 748.3 792.2 840.5 884.4 930.8 974.6 996.1 1042.5 1086.3 1134.7 1178.5 1200.0 813.7 : 43.8 92.2 136.0 182.4 203.9 247.7 294.1 339.9 386.3 430.1 451.7 498.0 541.9 590.2 634.1 680.4 702.0 745.8 794.1 838.0 884.4 928.2 949.7 996.1 1039.9 1088.3 1132.1 1153.6 1200.0 857.5 : 48.3 92.2 138.6 160.1 203.9 250.3 296.1 342.5 386.3 407.8 454.2 498.0 546.4 590.2 636.6 658.1 702.0 750.3 794.1 840.5 884.4 905.9 952.3 996.1 1044.4 1088.3 1109.8 1156.2 1200.0 905.9 : 43.8 90.2 111.7 155.6 202.0 247.7 294.1 338.0 359.5 405.9 449.7 498.0 541.9 588.3 609.8 653.6 702.0 745.8 792.2 836.0 857.5 903.9 947.7 996.1 1039.9 1061.4 1107.8 1151.7 1200.0 949.7 : 46.4 67.9 111.7 158.1 203.9 250.3 294.1 315.6 362.0 405.9 454.2 498.0 544.4 565.9 609.8 658.1 702.0 748.3 792.2 813.7 860.1 903.9 952.3 996.1 1017.6 1064.0 1107.8 1156.2 1200.0 996.1 : 21.5 65.3 111.7 157.5 203.9 247.7 269.2 315.6 359.5 407.8 451.7 498.0 519.6 563.4 611.7 655.6 702.0 745.8 767.3 813.7 857.5 905.9 949.7 971.2 1017.6 1061.4 1109.8 1153.6 1200.0 1017.6: 43.8 90.2 136.0 182.4 226.2 247.7 294.1 338.0 386.3 430.1 476.5 498.0 541.9 590.2 634.1 680.4 724.3 745.8 792.2 836.0 884.4 928.2 949.7 996.1 1039.9 1088.3 1132.1 1178.5 1200.0 1061.4: 46.4 92.2 138.6 182.4 203.9 250.3 294.1 342.5 386.3 432.7 454.2 498.0 546.4 590.2 636.6 680.4 702.0 748.3 792.2 840.5 884.4 905.9 952.3 996.1 1044.4 1088.3 1134.7 1156.2 1200.0 1107.8: 45.8 92.2 136.0 157.5 203.9 247.7 296.1 339.9 386.3 407.8 451.7 500.0 543.8 590.2 634.1 655.6 702.0 745.8 794.1 838.0 859.5 905.9 949.7 998.0 1041.9 1088.3 1109.8 1153.6 1200.0 1153.6: 46.4 90.2 111.7 158.1 202.0 250.3 294.1 340.5 362.0 405.9 454.2 498.0 544.4 588.3 609.8 656.2 700.0 748.3 792.2 813.7 860.1 903.9 952.3 996.1 1042.5 1064.0 1107.8 1154.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 21.5063 .. 48.3477 cents 65/64, 26.8414 cents 81/80, 21.5063 cents 2: 65.3373 .. 92.1787 cents 65/64, 26.8414 cents 512/507, 16.9897 cents 3: 111.7313 .. 138.5727 cents 65/64, 26.8414 cents 2048/2025, 19.5526 cents 4: 155.5623 .. 182.4037 cents 65/64, 26.8414 cents 512/507, 16.9897 cents 5: 201.9563 .. 228.7977 cents 65/64, 26.8414 cents 2048/2025, 19.5526 cents 6: 225.4163 .. 252.2577 cents 65/64, 26.8414 cents 531441/532480,-3.3814 cents 7: 269.2473 .. 296.0887 cents 65/64, 26.8414 cents 512/507, 16.9897 cents 8: 315.6413 .. 342.4827 cents 65/64, 26.8414 cents 2048/2025, 19.5526 cents 9: 359.4723 .. 386.3137 cents 65/64, 26.8414 cents 512/507, 16.9897 cents 10: 405.8663 .. 432.7077 cents 65/64, 26.8414 cents 2048/2025, 19.5526 cents 11: 449.6973 .. 476.5387 cents 65/64, 26.8414 cents 512/507, 16.9897 cents 12: 473.1573 .. 499.9987 cents 65/64, 26.8414 cents 531441/532480,-3.3814 cents 13: 519.5513 .. 546.3927 cents 65/64, 26.8414 cents 2048/2025, 19.5526 cents 14: 563.3823 .. 590.2237 cents 65/64, 26.8414 cents 512/507, 16.9897 cents 15: 609.7763 .. 636.6177 cents 65/64, 26.8414 cents 2048/2025, 19.5526 cents 16: 653.6073 .. 680.4487 cents 65/64, 26.8414 cents 512/507, 16.9897 cents 17: 700.0013 .. 726.8427 cents 65/64, 26.8414 cents 2048/2025, 19.5526 cents 18: 723.4613 .. 750.3027 cents 65/64, 26.8414 cents 531441/532480,-3.3814 cents 19: 767.2923 .. 794.1337 cents 65/64, 26.8414 cents 512/507, 16.9897 cents 20: 813.6863 .. 840.5277 cents 65/64, 26.8414 cents 2048/2025, 19.5526 cents 21: 857.5173 .. 884.3587 cents 65/64, 26.8414 cents 512/507, 16.9897 cents 22: 903.9113 .. 930.7527 cents 65/64, 26.8414 cents 2048/2025, 19.5526 cents 23: 947.7423 .. 974.5837 cents 65/64, 26.8414 cents 512/507, 16.9897 cents 24: 971.2023 .. 998.0437 cents 65/64, 26.8414 cents 531441/532480,-3.3814 cents 25: 1017.5963 .. 1044.4377 cents 65/64, 26.8414 cents 2048/2025, 19.5526 cents 26: 1061.4273 .. 1088.2687 cents 65/64, 26.8414 cents 512/507, 16.9897 cents 27: 1107.8213 .. 1134.6627 cents 65/64, 26.8414 cents 2048/2025, 19.5526 cents 28: 1151.6523 .. 1178.4937 cents 65/64, 26.8414 cents 512/507, 16.9897 cents
SHOW DATA
Number of notes : 29 -- Interval properties -- Smallest interval : 81/80, 21.5063 cents, class 1 Average step (divided formal octave): 41.3793 cents Largest one step interval : 1053/1024, 48.3477 cents Average / Smallest step : 1.924056 Largest / Average step : 1.168402 Largest / Smallest step : 2.248071 Median interval of one step : 40/39, 43.8311 cents, amount: 11 Most common interval of one step : 40/39, 43.8311 cents, amount: 11 Least squares average step : 41.02410 cents, oct.: 1189.69887 cents Scale is not proper Step pattern alph. order: ABCADACBADACABCADABCADACBACEC Step pattern size order : BADBEBDABEBDBADBEBADBEBDABDCD Scale is a Constant Structure, by a margin of 0.81847 cents Scale diversity : 1.244058 Lumma stability : 0.384972 Lumma impropriety factor : 0.011271 Number of different interval sizes : 124 = 4.42857 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 4.42857 = 31/7 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 22151168/22143375, 0.6092 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 25 Most common triad is 0.0 498.045 701.955 cents, amount: 21 Number of recognisable fifths : 27, average 701.8103 cents Scale contains a complete diamond : 1 3 9 27 Length of longest harmonic part : 1 at degree 0 Length of longest subharmonic part : 1 at degree 0 Formal octave complements present : 7 = 24.1379% Limited inverse transpositions with margin 26.8414 cents: 3 -- Rational properties -- Prime limit : 13 Odd number limit : 54675 (O: 54675 U: 54675) Highest odd numerator or denominator: 405 Scale harmonicity : 0.014573 Average absolute harmonicity : 0.098509 Specific harmonicity : 0.076394 Fundamental : 1/112320, -16.7773 octaves, 0.0023 Hz. Guide tone : 207360, 17.6618 octaves, 54250677.221 Hz. Exponens Consonantiae : 2.329068E+10, 34.43903 octaves Euler's gradus suavitatis : 50 Sum of Mann's harmonic distance : 1853.5, average 63.91379 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 40.17228, average 1.38525 Sum of Tenney's harmonic distance : 81.36228, average 2.80560 Vogel's harmonic complexity : 29.37931 Wille's k value : 71077 Wilson's harmonic complexity : 44 Rectangular lattice diameter : 10 Triangular lattice diameter : 9 Lattice compactness : 2354.33623, average 5.41227 Lattice compactness (without 2's) : 1265.72577, average 2.90971 Number of different primes : 4 Prime exponents' range, average, count, tones@limit: 2: -6 .. 9 1.68966 99 1 3: -3 .. 4 0.41379 54 7 5: -1 .. 1 0.03448 13 6 13: -1 .. 0 -0.51724 15 15 Average exponent except 2's :-2 / 29 =-0.06897 Average absolute exponent except 2's: 82 / 29 = 2.82759 Scale is JI-epimorphic with val: <29 46 67 107| = patent
FIT/MODE
29: 1 1 1 1 1 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: 9.8824 c. M:-18.9146 c. 31: 1 1 1 1 1 1 2 0 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 0 1 2 1 1 N D3 SD: 10.8612 c. M:-18.0459 c. 32: 1 1 1 1 1 2 1 0 2 1 1 1 1 1 1 1 2 1 0 2 1 1 1 2 0 1 2 1 1 N D3 SD: 11.0058 c. M: 17.2923 c. 33: 1 1 1 1 2 1 1 1 1 1 1 2 1 0 2 1 1 1 1 1 2 1 1 1 1 1 1 2 1 N D3 SD: 10.2020 c. M: 18.5133 c. 34: 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 P D3 S SD: 8.8843 c. M: 18.3132 c. 35: 1 1 1 2 1 1 2 0 1 2 1 2 1 0 2 1 1 2 0 2 1 1 2 1 1 1 1 2 1 N D3 SD: 10.0949 c. M: 16.6152 c. 37: 1 1 1 2 1 2 1 1 1 2 1 1 2 0 2 1 2 1 1 1 1 2 1 2 0 2 1 2 1 N D3 SD: 9.1284 c. M: 14.4340 c. 38: 1 1 2 1 1 2 1 1 1 2 1 2 1 1 1 2 1 2 0 2 1 2 1 2 0 2 1 2 1 N D3 SD: 8.9869 c. M:-14.8150 c. 40: 1 1 2 1 2 1 2 1 1 2 1 2 1 1 1 2 1 2 1 1 2 1 2 1 1 1 2 1 2 N D3 S SD: 8.5705 c. M:-14.3587 c. 41: 1 1 2 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2 1 1 2 1 2 P M ME S SD: 8.3563 c. M: 15.0468 c. 42: 2 0 2 1 2 2 1 1 2 1 2 1 2 1 1 2 2 1 1 1 2 2 1 2 1 1 2 1 2 N D3 SD: 8.1856 c. M: 13.6863 c. 46: 2 0 2 2 2 1 2 1 2 2 1 2 2 1 1 2 2 2 0 2 2 2 1 2 1 2 1 2 2 N D3 SD: 7.6461 c. M: 13.1634 c. 48: 2 1 1 2 2 2 2 1 1 2 2 2 2 1 1 2 2 2 1 2 1 2 2 2 1 1 2 2 2 P D3 S SD: 7.1540 c. M: 11.7313 c. 49: 2 1 2 1 2 2 2 1 2 2 1 2 2 1 2 2 2 1 1 2 2 2 2 2 1 1 2 2 2 N D3 SD: 6.8633 c. M: 11.0922 c. 52: 2 1 2 2 2 2 2 1 2 2 2 2 1 1 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 N D3 S SD: 6.4729 c. M: 11.1068 c. 53: 2 1 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 P M ME S SD: 1.7225 c. M:-2.9964 c. 130: 5 2 5 5 5 5 5 2 5 5 5 5 5 2 5 5 5 5 2 5 5 5 5 5 2 5 5 5 5 N M DE S SD: 1.2783 c. M:-2.7393 c. 171: 6 3 7 6 7 6 7 3 6 7 6 7 6 3 7 6 7 6 3 7 6 7 6 7 3 6 7 6 7 N T3 SD: 1.4467 c. M: 2.7289 c. 183: 7 3 7 7 7 7 7 3 7 7 7 7 7 3 7 7 7 7 3 7 7 7 7 7 3 7 7 7 7 N M DE S SD: 1.1302 c. M:-2.3862 c. 208: 8 3 8 8 8 8 8 4 7 9 7 8 8 4 8 7 9 7 4 8 8 8 8 8 3 8 8 8 8 N SD: 1.5251 c. M:-2.3228 c. 217: 8 4 8 8 9 8 8 4 8 9 8 8 8 4 8 8 9 8 4 8 8 9 8 8 4 8 8 9 8 P SD: 1.0219 c. M:-2.1543 c. 224: 8 4 9 8 9 8 9 4 8 9 8 9 8 4 9 8 9 8 4 9 8 9 8 9 4 8 9 8 9 N T3 SD: 0.8669 c. M: 1.8203 c. 277: 10 5 11 10 11 10 11 5 10 11 10 11 10 5 11 10 11 10 5 11 10 11 10 11 5 10 11 10 11 N T3 SD: 0.6344 c. M: 1.2595 c. 330: 12 6 13 12 13 12 13 6 12 13 12 13 12 6 13 12 13 12 6 13 12 13 12 13 6 12 13 12 13 N T3 SD: 0.6116 c. M:-1.2696 c. 354: 13 6 14 13 14 13 14 6 13 14 13 14 13 6 14 13 14 13 6 14 13 14 13 14 6 13 14 13 14 N T3 SD: 0.5898 c. M: 1.1906 c. 388: 14 7 15 14 16 14 15 7 14 16 14 15 14 7 15 14 16 14 7 15 14 16 14 15 7 14 15 15 15 N SD: 0.4675 c. M: 1.0300 c. 407: 15 7 16 15 16 15 16 7 15 16 15 16 15 7 16 15 16 15 7 16 15 16 15 16 7 15 16 15 16 N T3 SD: 0.5130 c. M: 0.9404 c. 441: 16 8 17 16 18 16 17 8 16 18 16 17 16 8 17 16 18 16 8 17 16 18 16 17 8 16 17 17 17 N SD: 0.2384 c. M: 0.5461 c. 494: 18 9 19 18 20 18 19 9 18 20 18 19 18 9 19 18 20 18 9 19 18 20 18 19 9 18 19 19 19 N SD: 0.1550 c. M:-0.3190 c. 848: 31 15 33 31 34 31 33 15 31 34 31 33 31 15 33 31 34 31 15 33 31 34 31 33 15 31 33 32 33 N SD: 0.1584 c. M: 0.3112 c. 1012: 37 18 39 37 41 37 39 18 37 41 37 39 37 18 39 37 41 37 18 39 37 41 37 39 18 37 39 39 39 N SD: 0.1608 c. M: 0.3114 c. 1065: 39 19 41 39 43 39 41 19 39 43 39 41 39 19 41 39 43 39 19 41 39 43 39 41 19 39 41 41 41 N SD: 0.1135 c. M: 0.2156 c. 1118: 41 20 43 41 45 41 43 20 41 45 41 43 41 20 43 41 45 41 20 43 41 45 41 43 20 41 43 43 43 N SD: 0.1246 c. M:-0.2401 c. 1289: 47 23 50 47 52 47 50 23 47 52 47 50 47 23 50 47 52 47 23 50 47 52 47 50 23 47 50 49 50 N SD: 0.0937 c. M: 0.1861 c. 1342: 49 24 52 49 54 49 52 24 49 54 49 52 49 24 52 49 54 49 24 52 49 54 49 52 24 49 52 51 52 N SD: 0.0485 c. M: 0.1038 c. 1783: 65 32 69 65 72 65 69 32 65 72 65 69 65 32 69 65 72 65 32 69 65 72 65 69 32 65 69 68 69 N SD: 0.0543 c. M: 0.1020 c. 1836: 67 33 71 67 74 67 71 33 67 74 67 71 67 33 71 67 74 67 33 71 67 74 67 71 33 67 71 70 71 N SD: 0.0253 c. M:-0.0508 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: 7.1688 cents 4 .. 8 match: 4 H SD: 7.1958 cents 5 .. 10 match: 5 H SD: 3.8260 cents 6 .. 12 match: 6 H SD: 5.2016 cents 7 .. 14 match: 7 H SD: 4.9887 cents 8 .. 16 match: 8 H SD: 4.9821 cents 9 .. 18 match: 9 H SD: 4.1734 cents 10 .. 20 match: 10 H SD: 2.5225 cents 11 .. 22 match: 11 H SD: 2.4517 cents 12 .. 24 match: 12 H SD: 4.4158 cents 13 .. 26 match: 13 H SD: 2.7521 cents 14 .. 28 match: 14 H SD: 3.3581 cents 15 .. 30 match: 15 H SD: 2.6998 cents 16 .. 32 match: 16 H SD: 3.1866 cents 17 .. 34 match: 17 H SD: 3.0560 cents 18 .. 36 match: 18 H SD: 2.9270 cents 19 .. 38 match: 19 H SD: 2.8540 cents 20 .. 40 match: 20 H SD: 2.5573 cents 21 .. 42 match: 21 H SD: 2.8687 cents 22 .. 44 match: 22 H SD: 2.1818 cents 23 .. 46 match: 22 S SD: 2.7523 cents 24 .. 48 match: 22 SD: 2.7259 cents 25 .. 50 match: 23 SD: 2.6432 cents 26 .. 52 match: 25 SD: 1.9639 cents 27 .. 54 match: 24 SD: 2.3030 cents 28 .. 56 match: 25 SD: 2.4411 cents 29 .. 58 match: 24 S SD: 2.5438 cents 30 .. 60 match: 27 SD: 1.7155 cents 31 .. 62 match: 26 SD: 1.8617 cents 32 .. 64 match: 26 SD: 2.0631 cents 33 .. 66 match: 26 SD: 1.7076 cents 34 .. 68 match: 28 SD: 1.8169 cents 35 .. 70 match: 27 SD: 2.0803 cents 36 .. 72 match: 27 SD: 2.0540 cents 37 .. 74 match: 26 SD: 2.0412 cents 38 .. 76 match: 27 SD: 1.7711 cents 39 .. 78 match: 29 SD: 1.6887 cents 40 .. 80 match: 27 SD: 1.5945 cents 41 .. 82 match: 28 SD: 1.4995 cents 42 .. 84 match: 27 SD: 1.6245 cents 44 .. 88 match: 29 SD: 1.3771 cents 45 .. 90 match: 28 SD: 1.2757 cents 46 .. 92 match: 28 SD: 1.3802 cents 47 .. 94 match: 28 SD: 1.4307 cents 48 .. 96 match: 28 SD: 1.2833 cents 50 .. 100 match: 29 SD: 1.1913 cents 52 .. 104 match: 28 SD: 1.2485 cents 54 .. 108 match: 29 SD: 1.1268 cents 57 .. 114 match: 28 SD: 1.0892 cents 59 .. 118 match: 28 SD: 1.1157 cents 60 .. 120 match: 28 SD: 1.0007 cents 61 .. 122 match: 28 SD: 1.1304 cents 62 .. 124 match: 28 SD: 1.2867 cents 63 .. 126 match: 28 SD: 1.0672 cents 64 .. 128 match: 28 SD: 0.9299 cents 70 .. 140 match: 29 SD: 0.8435 cents 74 .. 148 match: 29 SD: 0.7755 cents 76 .. 152 match: 29 SD: 0.7712 cents 78 .. 156 match: 29 SD: 0.7093 cents 86 .. 172 match: 29 SD: 0.6686 cents 90 .. 180 match: 29 SD: 0.6655 cents 103 .. 206 match: 29 SD: 0.6631 cents 104 .. 208 match: 29 SD: 0.4917 cents 120 .. 240 match: 29 SD: 0.4854 cents 125 .. 250 match: 29 SD: 0.4583 cents 130 .. 260 match: 29 SD: 0.4350 cents 135 .. 270 match: 29 SD: 0.4084 cents 150 .. 300 match: 29 SD: 0.3309 cents 182 .. 364 match: 29 SD: 0.3237 cents 190 .. 380 match: 29 SD: 0.2895 cents 201 .. 402 match: 29 SD: 0.2848 cents 215 .. 430 match: 29 SD: 0.2815 cents 225 .. 450 match: 29 SD: 0.2670 cents 226 .. 452 match: 29 SD: 0.2483 cents 234 .. 468 match: 29 SD: 0.2075 cents 285 .. 570 match: 29 SD: 0.2037 cents 286 .. 572 match: 29 SD: 0.1769 cents 312 .. 624 match: 29 SD: 0.1570 cents 346 .. 692 match: 29 SD: 0.1504 cents 360 .. 720 match: 29 SD: 0.1498 cents 384 .. 768 match: 29 SD: 0.1389 cents 390 .. 780 match: 29 SD: 0.1256 cents 416 .. 832 match: 29 SD: 0.1196 cents 490 .. 980 match: 29 SD: 0.1126 cents 512 .. 1024 match: 29 SD: 0.1025 cents 550 .. 1100 match: 29 SD: 0.0978 cents 554 .. 1108 match: 29 SD: 0.0968 cents 585 .. 1170 match: 29 SD: 0.0923 cents