Scala analysis: Wier53
Danny Wier's schismatically-altered 53-Pythagorgean scale (2002)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 64/63 27.264092 septimal comma, Archytas' comma 2: 36/35 48.770381 septimal diesis, 1/4-tone 3: 28/27 62.960904 Archytas' 1/3-tone 4: 135/128 92.178716 major chroma, major limma 5: 16/15 111.731285 minor diatonic semitone 6: 243/224 140.949098 Archytas' 2/3-tone 7: 35/32 155.139620 septimal neutral second 8: 10/9 182.403712 minor whole tone 9: 9/8 203.910002 major whole tone 10: 8/7 231.174094 septimal whole tone 11: 81/70 252.680383 Al-Hwarizmi's lute middle finger 12: 7/6 266.870906 septimal minor third 13: 32/27 294.134997 Pythagorean minor third 14: 6/5 315.641287 minor third 15: 128/105 342.905379 septimal neutral third 16: 315/256 359.049622 17: 5/4 386.313714 major third 18: 81/64 407.820003 Pythagorean major third 19: 9/7 435.084095 septimal major third, BP third 20: 35/27 449.274618 septimal semi-diminished fourth, 9/4-tone 21: 21/16 470.780907 narrow fourth 22: 4/3 498.044999 perfect fourth 23: 27/20 519.551289 acute fourth 24: 48/35 546.815381 septimal semi-augmented fourth 25: 112/81 561.005903 26: 45/32 590.223716 diatonic tritone 27: 64/45 609.776284 2nd tritone 28: 81/56 638.994097 29: 35/24 653.184619 septimal semi-diminished fifth 30: 40/27 680.448711 grave fifth 31: 3/2 701.955001 perfect fifth 32: 32/21 729.219093 wide fifth 33: 54/35 750.725382 septimal semi-augmented fifth 34: 14/9 764.915905 septimal minor sixth 35: 128/81 792.179997 Pythagorean minor sixth 36: 8/5 813.686286 minor sixth 37: 512/315 840.950378 38: 105/64 857.094621 septimal neutral sixth 39: 5/3 884.358713 major sixth, BP sixth 40: 27/16 905.865003 Pythagorean major sixth 41: 12/7 933.129094 septimal major sixth 42: 140/81 947.319617 43: 7/4 968.825906 harmonic seventh 44: 16/9 996.089998 Pythagorean minor seventh 45: 9/5 1017.596288 just minor seventh, BP seventh 46: 64/35 1044.860380 septimal neutral seventh 47: 448/243 1059.050902 48: 15/8 1088.268715 classic major seventh 49: 256/135 1107.821284 octave - major chroma 50: 27/14 1137.039096 septimal major seventh 51: 35/18 1151.229619 septimal semi-diminished octave 52: 63/32 1172.735908 octave - septimal comma 53: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 64/63 27.2641 septimal comma, Archytas' comma 1: 64/63 27.2641 septimal comma, Archytas' comma 2: 81/80 21.5063 syntonic comma, Didymus comma 3: 245/243 14.1905 minor BP diesis, Sensamagic comma 4: 3645/3584 29.2178 5: 2048/2025 19.5526 diaschisma 6: 3645/3584 29.2178 7: 245/243 14.1905 minor BP diesis, Sensamagic comma 8: 64/63 27.2641 septimal comma, Archytas' comma 9: 81/80 21.5063 syntonic comma, Didymus comma 10: 64/63 27.2641 septimal comma, Archytas' comma 11: 81/80 21.5063 syntonic comma, Didymus comma 12: 245/243 14.1905 minor BP diesis, Sensamagic comma 13: 64/63 27.2641 septimal comma, Archytas' comma 14: 81/80 21.5063 syntonic comma, Didymus comma 15: 64/63 27.2641 septimal comma, Archytas' comma 16: 33075/32768 16.1442 mirwomo comma 17: 64/63 27.2641 septimal comma, Archytas' comma 18: 81/80 21.5063 syntonic comma, Didymus comma 19: 64/63 27.2641 septimal comma, Archytas' comma 20: 245/243 14.1905 minor BP diesis, Sensamagic comma 21: 81/80 21.5063 syntonic comma, Didymus comma 22: 64/63 27.2641 septimal comma, Archytas' comma 23: 81/80 21.5063 syntonic comma, Didymus comma 24: 64/63 27.2641 septimal comma, Archytas' comma 25: 245/243 14.1905 minor BP diesis, Sensamagic comma 26: 3645/3584 29.2178 27: 2048/2025 19.5526 diaschisma 28: 3645/3584 29.2178 29: 245/243 14.1905 minor BP diesis, Sensamagic comma 30: 64/63 27.2641 septimal comma, Archytas' comma 31: 81/80 21.5063 syntonic comma, Didymus comma 32: 64/63 27.2641 septimal comma, Archytas' comma 33: 81/80 21.5063 syntonic comma, Didymus comma 34: 245/243 14.1905 minor BP diesis, Sensamagic comma 35: 64/63 27.2641 septimal comma, Archytas' comma 36: 81/80 21.5063 syntonic comma, Didymus comma 37: 64/63 27.2641 septimal comma, Archytas' comma 38: 33075/32768 16.1442 mirwomo comma 39: 64/63 27.2641 septimal comma, Archytas' comma 40: 81/80 21.5063 syntonic comma, Didymus comma 41: 64/63 27.2641 septimal comma, Archytas' comma 42: 245/243 14.1905 minor BP diesis, Sensamagic comma 43: 81/80 21.5063 syntonic comma, Didymus comma 44: 64/63 27.2641 septimal comma, Archytas' comma 45: 81/80 21.5063 syntonic comma, Didymus comma 46: 64/63 27.2641 septimal comma, Archytas' comma 47: 245/243 14.1905 minor BP diesis, Sensamagic comma 48: 3645/3584 29.2178 49: 2048/2025 19.5526 diaschisma 50: 3645/3584 29.2178 51: 245/243 14.1905 minor BP diesis, Sensamagic comma 52: 81/80 21.5063 syntonic comma, Didymus comma 53: 64/63 27.2641 septimal comma, Archytas' comma
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 10 245/243 14.191 cents minor BP diesis, Sensamagic comma 1: 2 33075/32768 16.144 cents mirwomo comma 1: 3 2048/2025 19.553 cents diaschisma 1: 14 81/80 21.506 cents syntonic comma, Didymus comma 1: 18 64/63 27.264 cents septimal comma, Archytas' comma 1: 6 3645/3584 29.218 cents 2: 6 49/48 35.697 cents slendro diesis, septimal 1/6-tone 2: 8 2240/2187 41.455 cents 2: 10 525/512 43.408 cents Avicenna enharmonic diesis 2: 28 36/35 48.770 cents septimal diesis, 1/4-tone 2: 1 4096/3969 54.528 cents two (septimal comma, Archytas' comma) 3: 24 28/27 62.961 cents Archytas' 1/3-tone 3: 6 8505/8192 64.915 cents 3: 4 729/700 70.277 cents 3: 6 25/24 70.672 cents classic chromatic semitone, minor chroma 3: 10 256/245 76.034 cents septimal minor semitone 3: 3 6561/6272 77.988 cents 4: 10 21/20 84.467 cents minor semitone 4: 18 256/243 90.225 cents limma, Pythagorean minor second 4: 20 135/128 92.179 cents major chroma, major limma 4: 5 1296/1225 97.541 cents two (septimal diesis, 1/4-tone) 5: 7 1225/1152 106.369 cents 5: 28 16/15 111.731 cents minor diatonic semitone 5: 4 2187/2048 113.685 cents apotome 5: 14 15/14 119.443 cents major diatonic semitone 6: 5 784/729 125.922 cents two (Archytas' 1/3-tone) 6: 6 2205/2048 127.876 cents 6: 4 27/25 133.238 cents large limma, BP small semitone, Zarlino semitone 6: 8 175/162 133.633 cents 6: 14 1024/945 138.995 cents 6: 16 243/224 140.949 cents Archytas' 2/3-tone 7: 4 7168/6561 153.186 cents 7: 26 35/32 155.140 cents septimal neutral second 7: 14 192/175 160.502 cents septimal 4/5-tone 7: 1 800/729 160.897 cents grave whole tone 7: 8 54/49 168.213 cents Zalzal's mujannab 8: 10 448/405 174.692 cents 8: 10 567/512 176.646 cents 8: 22 10/9 182.404 cents minor whole tone 8: 1 18225/16384 184.357 cents two (major chroma, major limma) 8: 4 4096/3675 187.766 cents 8: 6 2187/1960 189.719 cents 9: 2 2450/2187 196.594 cents 9: 8 4096/3645 201.956 cents narrow diminished third 9: 39 9/8 203.910 cents major whole tone 9: 4 640/567 209.668 cents 10: 14 245/216 218.101 cents 10: 5 256/225 223.463 cents Neapolitan diminished third 10: 6 729/640 225.416 cents acute major second 10: 26 8/7 231.174 cents septimal whole tone 10: 2 32805/28672 233.128 cents 11: 4 147/128 239.607 cents 11: 16 280/243 245.365 cents 11: 6 4725/4096 247.318 cents 11: 4 16384/14175 250.727 cents 11: 20 81/70 252.680 cents Al-Hwarizmi's lute middle finger 11: 3 512/441 258.438 cents 12: 30 7/6 266.871 cents septimal minor third 12: 2 2560/2187 272.629 cents grave minor third 12: 6 75/64 274.582 cents classic augmented second 12: 14 288/245 279.944 cents 12: 1 59049/50176 281.898 cents two (Archytas' 2/3-tone) 13: 6 189/160 288.377 cents 13: 32 32/27 294.135 cents Pythagorean minor third 13: 12 1215/1024 296.089 cents wide augmented second 13: 3 1458/1225 301.451 cents 14: 4 7840/6561 308.326 cents 14: 5 1225/1024 310.279 cents two (septimal neutral second) 14: 26 6/5 315.641 cents minor third 14: 6 2048/1701 321.399 cents 14: 12 135/112 323.353 cents septimal wide minor third 15: 7 98/81 329.832 cents 15: 2 19845/16384 331.786 cents 15: 2 243/200 337.148 cents acute minor third 15: 12 175/144 337.543 cents 15: 22 128/105 342.905 cents septimal neutral third 15: 8 2187/1792 344.859 cents 16: 12 896/729 357.096 cents 16: 18 315/256 359.050 cents 16: 10 216/175 364.412 cents 16: 3 100/81 364.807 cents grave major third 16: 4 8192/6615 370.169 cents 16: 6 243/196 372.123 cents 17: 14 56/45 378.602 cents septimal narrow major third 17: 2 5103/4096 380.556 cents 17: 1 8192/6561 384.360 cents Pythagorean diminished fourth 17: 28 5/4 386.314 cents major third 17: 6 1536/1225 391.676 cents 17: 2 19683/15680 393.629 cents 18: 4 1225/972 400.504 cents 18: 16 512/405 405.866 cents narrow diminished fourth 18: 25 81/64 407.820 cents Pythagorean major third 18: 8 80/63 413.578 cents wide major third 19: 2 25088/19683 420.057 cents 19: 12 245/192 422.011 cents 19: 7 32/25 427.373 cents classic diminished fourth 19: 2 2800/2187 427.768 cents 19: 2 32768/25515 433.130 cents 19: 28 9/7 435.084 cents septimal major third, BP third 20: 2 1323/1024 443.517 cents 20: 24 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 20: 2 42525/32768 451.228 cents 20: 8 2048/1575 454.637 cents 20: 12 729/560 456.590 cents 20: 5 64/49 462.348 cents 2 septatones or septatonic major third 21: 4 14336/10935 468.827 cents 21: 22 21/16 470.781 cents narrow fourth 21: 10 320/243 476.539 cents grave fourth 21: 4 675/512 478.492 cents wide augmented third 21: 1 131072/99225 481.901 cents 21: 12 324/245 483.854 cents 22: 2 1701/1280 492.287 cents 22: 46 4/3 498.045 cents perfect fourth 22: 4 10935/8192 499.999 cents fourth + schisma, 5-limit approximation to ET fourth 22: 1 6561/4900 505.361 cents two (Al-Hwarizmi's lute middle finger) 23: 8 980/729 512.236 cents 23: 3 11025/8192 514.189 cents 23: 2 8192/6075 517.598 cents 23: 18 27/20 519.551 cents acute fourth 23: 14 256/189 525.309 cents 23: 8 1215/896 527.263 cents 24: 7 49/36 533.742 cents Arabic lute acute fourth 24: 4 8960/6561 539.500 cents 24: 12 175/128 541.453 cents 24: 28 48/35 546.815 cents septimal semi-augmented fourth 24: 2 19683/14336 548.769 cents 25: 20 112/81 561.006 cents 25: 10 2835/2048 562.960 cents 25: 6 243/175 568.322 cents 25: 5 25/18 568.717 cents classic augmented fourth 25: 8 1024/735 574.079 cents 25: 4 2187/1568 576.033 cents 26: 12 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 26: 11 1024/729 588.270 cents Pythagorean diminished fifth 26: 24 45/32 590.224 cents diatonic tritone 26: 6 1728/1225 595.586 cents 27: 6 1225/864 604.414 cents 27: 24 64/45 609.776 cents 2nd tritone 27: 11 729/512 611.730 cents Pythagorean tritone 27: 12 10/7 617.488 cents Euler's tritone 28: 4 3136/2187 623.967 cents 28: 8 735/512 625.921 cents 28: 5 36/25 631.283 cents classic diminished fifth 28: 6 350/243 631.678 cents 28: 10 4096/2835 637.040 cents 28: 20 81/56 638.994 cents 29: 2 28672/19683 651.231 cents 29: 28 35/24 653.185 cents septimal semi-diminished fifth 29: 12 256/175 658.547 cents 29: 4 6561/4480 660.500 cents 29: 7 72/49 666.258 cents Arabic lute grave fifth 30: 8 1792/1215 672.737 cents 30: 14 189/128 674.691 cents 30: 18 40/27 680.449 cents grave fifth 30: 2 6075/4096 682.402 cents 30: 3 16384/11025 685.811 cents two (septimal neutral third) 30: 8 729/490 687.764 cents 31: 1 9800/6561 694.639 cents 31: 4 16384/10935 700.001 cents fifth - schisma, 5-limit approximation to ET fifth 31: 46 3/2 701.955 cents perfect fifth 31: 2 2560/1701 707.713 cents 32: 12 245/162 716.146 cents 32: 1 99225/65536 718.099 cents 32: 4 1024/675 721.508 cents narrow diminished sixth 32: 10 243/160 723.461 cents acute fifth 32: 22 32/21 729.219 cents wide fifth 32: 4 10935/7168 731.173 cents 33: 5 49/32 737.652 cents 33: 12 1120/729 743.410 cents 33: 8 1575/1024 745.363 cents 33: 2 65536/42525 748.772 cents 33: 24 54/35 750.725 cents septimal semi-augmented fifth 33: 2 2048/1323 756.483 cents 34: 28 14/9 764.916 cents septimal minor sixth 34: 2 25515/16384 766.870 cents 34: 2 2187/1400 772.232 cents 34: 7 25/16 772.627 cents classic augmented fifth 34: 12 384/245 777.989 cents 34: 2 19683/12544 779.943 cents 35: 8 63/40 786.422 cents narrow minor sixth 35: 25 128/81 792.180 cents Pythagorean minor sixth 35: 16 405/256 794.134 cents wide augmented fifth 35: 4 1944/1225 799.496 cents 36: 2 31360/19683 806.371 cents 36: 6 1225/768 808.324 cents 36: 28 8/5 813.686 cents minor sixth 36: 1 6561/4096 815.640 cents Pythagorean augmented fifth 36: 2 8192/5103 819.444 cents 36: 14 45/28 821.398 cents septimale wide minor sixth 37: 6 392/243 827.877 cents 37: 4 6615/4096 829.831 cents 37: 3 81/50 835.193 cents acute minor sixth 37: 10 175/108 835.588 cents 37: 18 512/315 840.950 cents 37: 12 729/448 842.904 cents 38: 8 3584/2187 855.141 cents 38: 22 105/64 857.095 cents septimal neutral sixth 38: 12 288/175 862.457 cents 38: 2 400/243 862.852 cents grave major sixth 38: 2 32768/19845 868.214 cents 38: 7 81/49 870.168 cents two (septimal major third, BP third) 39: 12 224/135 876.647 cents narrow septimal major sixth 39: 6 1701/1024 878.601 cents 39: 26 5/3 884.359 cents major sixth, BP sixth 39: 5 2048/1225 889.721 cents 39: 4 6561/3920 891.674 cents 40: 3 1225/729 898.549 cents two (septimal semi-diminished fourth, 9/4-tone) 40: 12 2048/1215 903.911 cents narrow diminished seventh 40: 32 27/16 905.865 cents Pythagorean major sixth 40: 6 320/189 911.623 cents 41: 1 100352/59049 918.102 cents 41: 14 245/144 920.056 cents 41: 6 128/75 925.418 cents diminished seventh 41: 2 2187/1280 927.371 cents acute major sixth 41: 30 12/7 933.129 cents septimal major sixth 42: 3 441/256 941.562 cents two (narrow fourth) 42: 20 140/81 947.320 cents 42: 4 14175/8192 949.273 cents 42: 6 8192/4725 952.682 cents 42: 16 243/140 954.635 cents 42: 4 256/147 960.393 cents 43: 2 57344/32805 966.872 cents 43: 26 7/4 968.826 cents harmonic seventh 43: 6 1280/729 974.584 cents grave minor seventh 43: 5 225/128 976.537 cents augmented sixth 43: 14 432/245 981.899 cents 44: 4 567/320 990.332 cents 44: 39 16/9 996.090 cents Pythagorean minor seventh 44: 8 3645/2048 998.044 cents wide augmented sixth 44: 2 2187/1225 1003.406 cents 45: 6 3920/2187 1010.281 cents 45: 4 3675/2048 1012.234 cents 45: 1 32768/18225 1015.643 cents 45: 22 9/5 1017.596 cents just minor seventh, BP seventh 45: 10 1024/567 1023.354 cents 45: 10 405/224 1025.308 cents 46: 8 49/27 1031.787 cents 46: 1 729/400 1039.103 cents acute minor seventh 46: 14 175/96 1039.498 cents 46: 26 64/35 1044.860 cents septimal neutral seventh 46: 4 6561/3584 1046.814 cents 47: 16 448/243 1059.051 cents 47: 14 945/512 1061.005 cents 47: 8 324/175 1066.367 cents 47: 4 50/27 1066.762 cents grave major seventh 47: 6 4096/2205 1072.124 cents 47: 5 729/392 1074.078 cents 48: 14 28/15 1080.557 cents grave major seventh 48: 4 4096/2187 1086.315 cents Pythagorean diminished octave 48: 28 15/8 1088.269 cents classic major seventh 48: 7 2304/1225 1093.631 cents two (septimal semi-augmented fourth) 49: 5 1225/648 1102.459 cents 49: 20 256/135 1107.821 cents octave - major chroma 49: 18 243/128 1109.775 cents Pythagorean major seventh 49: 10 40/21 1115.533 cents acute major seventh 50: 3 12544/6561 1122.012 cents 50: 10 245/128 1123.966 cents 50: 6 48/25 1129.328 cents classic diminished octave 50: 4 1400/729 1129.723 cents 50: 6 16384/8505 1135.085 cents 50: 24 27/14 1137.039 cents septimal major seventh 51: 1 3969/2048 1145.472 cents 51: 28 35/18 1151.230 cents septimal semi-diminished octave 51: 10 1024/525 1156.592 cents 51: 8 2187/1120 1158.545 cents 51: 6 96/49 1164.303 cents 52: 6 7168/3645 1170.782 cents 52: 18 63/32 1172.736 cents octave - septimal comma 52: 14 160/81 1178.494 cents octave - syntonic comma 52: 3 2025/1024 1180.447 cents 2 tritones 52: 2 65536/33075 1183.856 cents 52: 10 486/245 1185.809 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.23077 = 68/13
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 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0.0 : 27.3 48.8 63.0 92.2 111.7 140.9 155.1 182.4 203.9 231.2 252.7 266.9 294.1 315.6 342.9 359.0 386.3 407.8 435.1 449.3 470.8 498.0 519.6 546.8 561.0 590.2 609.8 639.0 653.2 680.4 702.0 729.2 750.7 764.9 792.2 813.7 841.0 857.1 884.4 905.9 933.1 947.3 968.8 996.1 1017.6 1044.9 1059.1 1088.3 1107.8 1137.0 1151.2 1172.7 1200.0 27.3 : 21.5 35.7 64.9 84.5 113.7 127.9 155.1 176.6 203.9 225.4 239.6 266.9 288.4 315.6 331.8 359.0 380.6 407.8 422.0 443.5 470.8 492.3 519.6 533.7 563.0 582.5 611.7 625.9 653.2 674.7 702.0 723.5 737.7 764.9 786.4 813.7 829.8 857.1 878.6 905.9 920.1 941.6 968.8 990.3 1017.6 1031.8 1061.0 1080.6 1109.8 1124.0 1145.5 1172.7 1200.0 48.8 : 14.2 43.4 63.0 92.2 106.4 133.6 155.1 182.4 203.9 218.1 245.4 266.9 294.1 310.3 337.5 359.0 386.3 400.5 422.0 449.3 470.8 498.0 512.2 541.5 561.0 590.2 604.4 631.7 653.2 680.4 702.0 716.1 743.4 764.9 792.2 808.3 835.6 857.1 884.4 898.5 920.1 947.3 968.8 996.1 1010.3 1039.5 1059.1 1088.3 1102.5 1124.0 1151.2 1178.5 1200.0 63.0 : 29.2 48.8 78.0 92.2 119.4 140.9 168.2 189.7 203.9 231.2 252.7 279.9 296.1 323.4 344.9 372.1 386.3 407.8 435.1 456.6 483.9 498.0 527.3 546.8 576.0 590.2 617.5 639.0 666.3 687.8 702.0 729.2 750.7 778.0 794.1 821.4 842.9 870.2 884.4 905.9 933.1 954.6 981.9 996.1 1025.3 1044.9 1074.1 1088.3 1109.8 1137.0 1164.3 1185.8 1200.0 92.2 : 19.6 48.8 63.0 90.2 111.7 139.0 160.5 174.7 202.0 223.5 250.7 266.9 294.1 315.6 342.9 357.1 378.6 405.9 427.4 454.6 468.8 498.0 517.6 546.8 561.0 588.3 609.8 637.0 658.5 672.7 700.0 721.5 748.8 764.9 792.2 813.7 841.0 855.1 876.6 903.9 925.4 952.7 966.9 996.1 1015.6 1044.9 1059.1 1080.6 1107.8 1135.1 1156.6 1170.8 1200.0 111.7 : 29.2 43.4 70.7 92.2 119.4 140.9 155.1 182.4 203.9 231.2 247.3 274.6 296.1 323.4 337.5 359.0 386.3 407.8 435.1 449.3 478.5 498.0 527.3 541.5 568.7 590.2 617.5 639.0 653.2 680.4 702.0 729.2 745.4 772.6 794.1 821.4 835.6 857.1 884.4 905.9 933.1 947.3 976.5 996.1 1025.3 1039.5 1061.0 1088.3 1115.5 1137.0 1151.2 1180.4 1200.0 140.9 : 14.2 41.5 63.0 90.2 111.7 125.9 153.2 174.7 202.0 218.1 245.4 266.9 294.1 308.3 329.8 357.1 378.6 405.9 420.1 449.3 468.8 498.0 512.2 539.5 561.0 588.3 609.8 624.0 651.2 672.7 700.0 716.1 743.4 764.9 792.2 806.4 827.9 855.1 876.6 903.9 918.1 947.3 966.9 996.1 1010.3 1031.8 1059.1 1086.3 1107.8 1122.0 1151.2 1170.8 1200.0 155.1 : 27.3 48.8 76.0 97.5 111.7 139.0 160.5 187.8 203.9 231.2 252.7 279.9 294.1 315.6 342.9 364.4 391.7 405.9 435.1 454.6 483.9 498.0 525.3 546.8 574.1 595.6 609.8 637.0 658.5 685.8 702.0 729.2 750.7 778.0 792.2 813.7 841.0 862.5 889.7 903.9 933.1 952.7 981.9 996.1 1017.6 1044.9 1072.1 1093.6 1107.8 1137.0 1156.6 1185.8 1200.0 182.4 : 21.5 48.8 70.3 84.5 111.7 133.2 160.5 176.6 203.9 225.4 252.7 266.9 288.4 315.6 337.1 364.4 378.6 407.8 427.4 456.6 470.8 498.0 519.6 546.8 568.3 582.5 609.8 631.3 658.5 674.7 702.0 723.5 750.7 764.9 786.4 813.7 835.2 862.5 876.6 905.9 925.4 954.6 968.8 990.3 1017.6 1044.9 1066.4 1080.6 1109.8 1129.3 1158.5 1172.7 1200.0 203.9 : 27.3 48.8 63.0 90.2 111.7 139.0 155.1 182.4 203.9 231.2 245.4 266.9 294.1 315.6 342.9 357.1 386.3 405.9 435.1 449.3 476.5 498.0 525.3 546.8 561.0 588.3 609.8 637.0 653.2 680.4 702.0 729.2 743.4 764.9 792.2 813.7 841.0 855.1 884.4 903.9 933.1 947.3 968.8 996.1 1023.4 1044.9 1059.1 1088.3 1107.8 1137.0 1151.2 1178.5 1200.0 231.2 : 21.5 35.7 63.0 84.5 111.7 127.9 155.1 176.6 203.9 218.1 239.6 266.9 288.4 315.6 329.8 359.0 378.6 407.8 422.0 449.3 470.8 498.0 519.6 533.7 561.0 582.5 609.8 625.9 653.2 674.7 702.0 716.1 737.7 764.9 786.4 813.7 827.9 857.1 876.6 905.9 920.1 941.6 968.8 996.1 1017.6 1031.8 1061.0 1080.6 1109.8 1124.0 1151.2 1172.7 1200.0 252.7 : 14.2 41.5 63.0 90.2 106.4 133.6 155.1 182.4 196.6 218.1 245.4 266.9 294.1 308.3 337.5 357.1 386.3 400.5 427.8 449.3 476.5 498.0 512.2 539.5 561.0 588.3 604.4 631.7 653.2 680.4 694.6 716.1 743.4 764.9 792.2 806.4 835.6 855.1 884.4 898.5 920.1 947.3 974.6 996.1 1010.3 1039.5 1059.1 1088.3 1102.5 1129.7 1151.2 1178.5 1200.0 266.9 : 27.3 48.8 76.0 92.2 119.4 140.9 168.2 182.4 203.9 231.2 252.7 279.9 294.1 323.4 342.9 372.1 386.3 413.6 435.1 462.3 483.9 498.0 525.3 546.8 574.1 590.2 617.5 639.0 666.3 680.4 702.0 729.2 750.7 778.0 792.2 821.4 841.0 870.2 884.4 905.9 933.1 960.4 981.9 996.1 1025.3 1044.9 1074.1 1088.3 1115.5 1137.0 1164.3 1185.8 1200.0 294.1 : 21.5 48.8 64.9 92.2 113.7 140.9 155.1 176.6 203.9 225.4 252.7 266.9 296.1 315.6 344.9 359.0 386.3 407.8 435.1 456.6 470.8 498.0 519.6 546.8 563.0 590.2 611.7 639.0 653.2 674.7 702.0 723.5 750.7 764.9 794.1 813.7 842.9 857.1 878.6 905.9 933.1 954.6 968.8 998.0 1017.6 1046.8 1061.0 1088.3 1109.8 1137.0 1158.5 1172.7 1200.0 315.6 : 27.3 43.4 70.7 92.2 119.4 133.6 155.1 182.4 203.9 231.2 245.4 274.6 294.1 323.4 337.5 364.8 386.3 413.6 435.1 449.3 476.5 498.0 525.3 541.5 568.7 590.2 617.5 631.7 653.2 680.4 702.0 729.2 743.4 772.6 792.2 821.4 835.6 857.1 884.4 911.6 933.1 947.3 976.5 996.1 1025.3 1039.5 1066.8 1088.3 1115.5 1137.0 1151.2 1178.5 1200.0 342.9 : 16.1 43.4 64.9 92.2 106.4 127.9 155.1 176.6 203.9 218.1 247.3 266.9 296.1 310.3 337.5 359.0 386.3 407.8 422.0 449.3 470.8 498.0 514.2 541.5 563.0 590.2 604.4 625.9 653.2 674.7 702.0 716.1 745.4 764.9 794.1 808.3 829.8 857.1 884.4 905.9 920.1 949.3 968.8 998.0 1012.2 1039.5 1061.0 1088.3 1109.8 1124.0 1151.2 1172.7 1200.0 359.0 : 27.3 48.8 76.0 90.2 111.7 139.0 160.5 187.8 202.0 231.2 250.7 279.9 294.1 321.4 342.9 370.2 391.7 405.9 433.1 454.6 481.9 498.0 525.3 546.8 574.1 588.3 609.8 637.0 658.5 685.8 700.0 729.2 748.8 778.0 792.2 813.7 841.0 868.2 889.7 903.9 933.1 952.7 981.9 996.1 1023.4 1044.9 1072.1 1093.6 1107.8 1135.1 1156.6 1183.9 1200.0 386.3 : 21.5 48.8 63.0 84.5 111.7 133.2 160.5 174.7 203.9 223.5 252.7 266.9 294.1 315.6 342.9 364.4 378.6 405.9 427.4 454.6 470.8 498.0 519.6 546.8 561.0 582.5 609.8 631.3 658.5 672.7 702.0 721.5 750.7 764.9 786.4 813.7 841.0 862.5 876.6 905.9 925.4 954.6 968.8 996.1 1017.6 1044.9 1066.4 1080.6 1107.8 1129.3 1156.6 1172.7 1200.0 407.8 : 27.3 41.5 63.0 90.2 111.7 139.0 153.2 182.4 202.0 231.2 245.4 272.6 294.1 321.4 342.9 357.1 384.4 405.9 433.1 449.3 476.5 498.0 525.3 539.5 561.0 588.3 609.8 637.0 651.2 680.4 700.0 729.2 743.4 764.9 792.2 819.4 841.0 855.1 884.4 903.9 933.1 947.3 974.6 996.1 1023.4 1044.9 1059.1 1086.3 1107.8 1135.1 1151.2 1178.5 1200.0 435.1 : 14.2 35.7 63.0 84.5 111.7 125.9 155.1 174.7 203.9 218.1 245.4 266.9 294.1 315.6 329.8 357.1 378.6 405.9 422.0 449.3 470.8 498.0 512.2 533.7 561.0 582.5 609.8 624.0 653.2 672.7 702.0 716.1 737.7 764.9 792.2 813.7 827.9 857.1 876.6 905.9 920.1 947.3 968.8 996.1 1017.6 1031.8 1059.1 1080.6 1107.8 1124.0 1151.2 1172.7 1200.0 449.3 : 21.5 48.8 70.3 97.5 111.7 140.9 160.5 189.7 203.9 231.2 252.7 279.9 301.5 315.6 342.9 364.4 391.7 407.8 435.1 456.6 483.9 498.0 519.6 546.8 568.3 595.6 609.8 639.0 658.5 687.8 702.0 723.5 750.7 778.0 799.5 813.7 842.9 862.5 891.7 905.9 933.1 954.6 981.9 1003.4 1017.6 1044.9 1066.4 1093.6 1109.8 1137.0 1158.5 1185.8 1200.0 470.8 : 27.3 48.8 76.0 90.2 119.4 139.0 168.2 182.4 209.7 231.2 258.4 279.9 294.1 321.4 342.9 370.2 386.3 413.6 435.1 462.3 476.5 498.0 525.3 546.8 574.1 588.3 617.5 637.0 666.3 680.4 702.0 729.2 756.5 778.0 792.2 821.4 841.0 870.2 884.4 911.6 933.1 960.4 981.9 996.1 1023.4 1044.9 1072.1 1088.3 1115.5 1137.0 1164.3 1178.5 1200.0 498.0 : 21.5 48.8 63.0 92.2 111.7 140.9 155.1 182.4 203.9 231.2 252.7 266.9 294.1 315.6 342.9 359.0 386.3 407.8 435.1 449.3 470.8 498.0 519.6 546.8 561.0 590.2 609.8 639.0 653.2 674.7 702.0 729.2 750.7 764.9 794.1 813.7 842.9 857.1 884.4 905.9 933.1 954.6 968.8 996.1 1017.6 1044.9 1061.0 1088.3 1109.8 1137.0 1151.2 1172.7 1200.0 519.6 : 27.3 41.5 70.7 90.2 119.4 133.6 160.9 182.4 209.7 231.2 245.4 272.6 294.1 321.4 337.5 364.8 386.3 413.6 427.8 449.3 476.5 498.0 525.3 539.5 568.7 588.3 617.5 631.7 653.2 680.4 707.7 729.2 743.4 772.6 792.2 821.4 835.6 862.9 884.4 911.6 933.1 947.3 974.6 996.1 1023.4 1039.5 1066.8 1088.3 1115.5 1129.7 1151.2 1178.5 1200.0 546.8 : 14.2 43.4 63.0 92.2 106.4 133.6 155.1 182.4 203.9 218.1 245.4 266.9 294.1 310.3 337.5 359.0 386.3 400.5 422.0 449.3 470.8 498.0 512.2 541.5 561.0 590.2 604.4 625.9 653.2 680.4 702.0 716.1 745.4 764.9 794.1 808.3 835.6 857.1 884.4 905.9 920.1 947.3 968.8 996.1 1012.2 1039.5 1061.0 1088.3 1102.5 1124.0 1151.2 1172.7 1200.0 561.0 : 29.2 48.8 78.0 92.2 119.4 140.9 168.2 189.7 203.9 231.2 252.7 279.9 296.1 323.4 344.9 372.1 386.3 407.8 435.1 456.6 483.9 498.0 527.3 546.8 576.0 590.2 611.7 639.0 666.3 687.8 702.0 731.2 750.7 779.9 794.1 821.4 842.9 870.2 891.7 905.9 933.1 954.6 981.9 998.0 1025.3 1046.8 1074.1 1088.3 1109.8 1137.0 1158.5 1185.8 1200.0 590.2 : 19.6 48.8 63.0 90.2 111.7 139.0 160.5 174.7 202.0 223.5 250.7 266.9 294.1 315.6 342.9 357.1 378.6 405.9 427.4 454.6 468.8 498.0 517.6 546.8 561.0 582.5 609.8 637.0 658.5 672.7 702.0 721.5 750.7 764.9 792.2 813.7 841.0 862.5 876.6 903.9 925.4 952.7 968.8 996.1 1017.6 1044.9 1059.1 1080.6 1107.8 1129.3 1156.6 1170.8 1200.0 609.8 : 29.2 43.4 70.7 92.2 119.4 140.9 155.1 182.4 203.9 231.2 247.3 274.6 296.1 323.4 337.5 359.0 386.3 407.8 435.1 449.3 478.5 498.0 527.3 541.5 563.0 590.2 617.5 639.0 653.2 682.4 702.0 731.2 745.4 772.6 794.1 821.4 842.9 857.1 884.4 905.9 933.1 949.3 976.5 998.0 1025.3 1039.5 1061.0 1088.3 1109.8 1137.0 1151.2 1180.4 1200.0 639.0 : 14.2 41.5 63.0 90.2 111.7 125.9 153.2 174.7 202.0 218.1 245.4 266.9 294.1 308.3 329.8 357.1 378.6 405.9 420.1 449.3 468.8 498.0 512.2 533.7 561.0 588.3 609.8 624.0 653.2 672.7 702.0 716.1 743.4 764.9 792.2 813.7 827.9 855.1 876.6 903.9 920.1 947.3 968.8 996.1 1010.3 1031.8 1059.1 1080.6 1107.8 1122.0 1151.2 1170.8 1200.0 653.2 : 27.3 48.8 76.0 97.5 111.7 139.0 160.5 187.8 203.9 231.2 252.7 279.9 294.1 315.6 342.9 364.4 391.7 405.9 435.1 454.6 483.9 498.0 519.6 546.8 574.1 595.6 609.8 639.0 658.5 687.8 702.0 729.2 750.7 778.0 799.5 813.7 841.0 862.5 889.7 905.9 933.1 954.6 981.9 996.1 1017.6 1044.9 1066.4 1093.6 1107.8 1137.0 1156.6 1185.8 1200.0 680.4 : 21.5 48.8 70.3 84.5 111.7 133.2 160.5 176.6 203.9 225.4 252.7 266.9 288.4 315.6 337.1 364.4 378.6 407.8 427.4 456.6 470.8 492.3 519.6 546.8 568.3 582.5 611.7 631.3 660.5 674.7 702.0 723.5 750.7 772.2 786.4 813.7 835.2 862.5 878.6 905.9 927.4 954.6 968.8 990.3 1017.6 1039.1 1066.4 1080.6 1109.8 1129.3 1158.5 1172.7 1200.0 702.0 : 27.3 48.8 63.0 90.2 111.7 139.0 155.1 182.4 203.9 231.2 245.4 266.9 294.1 315.6 342.9 357.1 386.3 405.9 435.1 449.3 470.8 498.0 525.3 546.8 561.0 590.2 609.8 639.0 653.2 680.4 702.0 729.2 750.7 764.9 792.2 813.7 841.0 857.1 884.4 905.9 933.1 947.3 968.8 996.1 1017.6 1044.9 1059.1 1088.3 1107.8 1137.0 1151.2 1178.5 1200.0 729.2 : 21.5 35.7 63.0 84.5 111.7 127.9 155.1 176.6 203.9 218.1 239.6 266.9 288.4 315.6 329.8 359.0 378.6 407.8 422.0 443.5 470.8 498.0 519.6 533.7 563.0 582.5 611.7 625.9 653.2 674.7 702.0 723.5 737.7 764.9 786.4 813.7 829.8 857.1 878.6 905.9 920.1 941.6 968.8 990.3 1017.6 1031.8 1061.0 1080.6 1109.8 1124.0 1151.2 1172.7 1200.0 750.7 : 14.2 41.5 63.0 90.2 106.4 133.6 155.1 182.4 196.6 218.1 245.4 266.9 294.1 308.3 337.5 357.1 386.3 400.5 422.0 449.3 476.5 498.0 512.2 541.5 561.0 590.2 604.4 631.7 653.2 680.4 702.0 716.1 743.4 764.9 792.2 808.3 835.6 857.1 884.4 898.5 920.1 947.3 968.8 996.1 1010.3 1039.5 1059.1 1088.3 1102.5 1129.7 1151.2 1178.5 1200.0 764.9 : 27.3 48.8 76.0 92.2 119.4 140.9 168.2 182.4 203.9 231.2 252.7 279.9 294.1 323.4 342.9 372.1 386.3 407.8 435.1 462.3 483.9 498.0 527.3 546.8 576.0 590.2 617.5 639.0 666.3 687.8 702.0 729.2 750.7 778.0 794.1 821.4 842.9 870.2 884.4 905.9 933.1 954.6 981.9 996.1 1025.3 1044.9 1074.1 1088.3 1115.5 1137.0 1164.3 1185.8 1200.0 792.2 : 21.5 48.8 64.9 92.2 113.7 140.9 155.1 176.6 203.9 225.4 252.7 266.9 296.1 315.6 344.9 359.0 380.6 407.8 435.1 456.6 470.8 500.0 519.6 548.8 563.0 590.2 611.7 639.0 660.5 674.7 702.0 723.5 750.7 766.9 794.1 815.6 842.9 857.1 878.6 905.9 927.4 954.6 968.8 998.0 1017.6 1046.8 1061.0 1088.3 1109.8 1137.0 1158.5 1172.7 1200.0 813.7 : 27.3 43.4 70.7 92.2 119.4 133.6 155.1 182.4 203.9 231.2 245.4 274.6 294.1 323.4 337.5 359.0 386.3 413.6 435.1 449.3 478.5 498.0 527.3 541.5 568.7 590.2 617.5 639.0 653.2 680.4 702.0 729.2 745.4 772.6 794.1 821.4 835.6 857.1 884.4 905.9 933.1 947.3 976.5 996.1 1025.3 1039.5 1066.8 1088.3 1115.5 1137.0 1151.2 1178.5 1200.0 841.0 : 16.1 43.4 64.9 92.2 106.4 127.9 155.1 176.6 203.9 218.1 247.3 266.9 296.1 310.3 331.8 359.0 386.3 407.8 422.0 451.2 470.8 500.0 514.2 541.5 563.0 590.2 611.7 625.9 653.2 674.7 702.0 718.1 745.4 766.9 794.1 808.3 829.8 857.1 878.6 905.9 920.1 949.3 968.8 998.0 1012.2 1039.5 1061.0 1088.3 1109.8 1124.0 1151.2 1172.7 1200.0 857.1 : 27.3 48.8 76.0 90.2 111.7 139.0 160.5 187.8 202.0 231.2 250.7 279.9 294.1 315.6 342.9 370.2 391.7 405.9 435.1 454.6 483.9 498.0 525.3 546.8 574.1 595.6 609.8 637.0 658.5 685.8 702.0 729.2 750.7 778.0 792.2 813.7 841.0 862.5 889.7 903.9 933.1 952.7 981.9 996.1 1023.4 1044.9 1072.1 1093.6 1107.8 1135.1 1156.6 1183.9 1200.0 884.4 : 21.5 48.8 63.0 84.5 111.7 133.2 160.5 174.7 203.9 223.5 252.7 266.9 288.4 315.6 342.9 364.4 378.6 407.8 427.4 456.6 470.8 498.0 519.6 546.8 568.3 582.5 609.8 631.3 658.5 674.7 702.0 723.5 750.7 764.9 786.4 813.7 835.2 862.5 876.6 905.9 925.4 954.6 968.8 996.1 1017.6 1044.9 1066.4 1080.6 1107.8 1129.3 1156.6 1172.7 1200.0 905.9 : 27.3 41.5 63.0 90.2 111.7 139.0 153.2 182.4 202.0 231.2 245.4 266.9 294.1 321.4 342.9 357.1 386.3 405.9 435.1 449.3 476.5 498.0 525.3 546.8 561.0 588.3 609.8 637.0 653.2 680.4 702.0 729.2 743.4 764.9 792.2 813.7 841.0 855.1 884.4 903.9 933.1 947.3 974.6 996.1 1023.4 1044.9 1059.1 1086.3 1107.8 1135.1 1151.2 1178.5 1200.0 933.1 : 14.2 35.7 63.0 84.5 111.7 125.9 155.1 174.7 203.9 218.1 239.6 266.9 294.1 315.6 329.8 359.0 378.6 407.8 422.0 449.3 470.8 498.0 519.6 533.7 561.0 582.5 609.8 625.9 653.2 674.7 702.0 716.1 737.7 764.9 786.4 813.7 827.9 857.1 876.6 905.9 920.1 947.3 968.8 996.1 1017.6 1031.8 1059.1 1080.6 1107.8 1124.0 1151.2 1172.7 1200.0 947.3 : 21.5 48.8 70.3 97.5 111.7 140.9 160.5 189.7 203.9 225.4 252.7 279.9 301.5 315.6 344.9 364.4 393.6 407.8 435.1 456.6 483.9 505.4 519.6 546.8 568.3 595.6 611.7 639.0 660.5 687.8 702.0 723.5 750.7 772.2 799.5 813.7 842.9 862.5 891.7 905.9 933.1 954.6 981.9 1003.4 1017.6 1044.9 1066.4 1093.6 1109.8 1137.0 1158.5 1185.8 1200.0 968.8 : 27.3 48.8 76.0 90.2 119.4 139.0 168.2 182.4 203.9 231.2 258.4 279.9 294.1 323.4 342.9 372.1 386.3 413.6 435.1 462.3 483.9 498.0 525.3 546.8 574.1 590.2 617.5 639.0 666.3 680.4 702.0 729.2 750.7 778.0 792.2 821.4 841.0 870.2 884.4 911.6 933.1 960.4 981.9 996.1 1023.4 1044.9 1072.1 1088.3 1115.5 1137.0 1164.3 1178.5 1200.0 996.1 : 21.5 48.8 63.0 92.2 111.7 140.9 155.1 176.6 203.9 231.2 252.7 266.9 296.1 315.6 344.9 359.0 386.3 407.8 435.1 456.6 470.8 498.0 519.6 546.8 563.0 590.2 611.7 639.0 653.2 674.7 702.0 723.5 750.7 764.9 794.1 813.7 842.9 857.1 884.4 905.9 933.1 954.6 968.8 996.1 1017.6 1044.9 1061.0 1088.3 1109.8 1137.0 1151.2 1172.7 1200.0 1017.6: 27.3 41.5 70.7 90.2 119.4 133.6 155.1 182.4 209.7 231.2 245.4 274.6 294.1 323.4 337.5 364.8 386.3 413.6 435.1 449.3 476.5 498.0 525.3 541.5 568.7 590.2 617.5 631.7 653.2 680.4 702.0 729.2 743.4 772.6 792.2 821.4 835.6 862.9 884.4 911.6 933.1 947.3 974.6 996.1 1023.4 1039.5 1066.8 1088.3 1115.5 1129.7 1151.2 1178.5 1200.0 1044.9: 14.2 43.4 63.0 92.2 106.4 127.9 155.1 182.4 203.9 218.1 247.3 266.9 296.1 310.3 337.5 359.0 386.3 407.8 422.0 449.3 470.8 498.0 514.2 541.5 563.0 590.2 604.4 625.9 653.2 674.7 702.0 716.1 745.4 764.9 794.1 808.3 835.6 857.1 884.4 905.9 920.1 947.3 968.8 996.1 1012.2 1039.5 1061.0 1088.3 1102.5 1124.0 1151.2 1172.7 1200.0 1059.1: 29.2 48.8 78.0 92.2 113.7 140.9 168.2 189.7 203.9 233.1 252.7 281.9 296.1 323.4 344.9 372.1 393.6 407.8 435.1 456.6 483.9 500.0 527.3 548.8 576.0 590.2 611.7 639.0 660.5 687.8 702.0 731.2 750.7 779.9 794.1 821.4 842.9 870.2 891.7 905.9 933.1 954.6 981.9 998.0 1025.3 1046.8 1074.1 1088.3 1109.8 1137.0 1158.5 1185.8 1200.0 1088.3: 19.6 48.8 63.0 84.5 111.7 139.0 160.5 174.7 203.9 223.5 252.7 266.9 294.1 315.6 342.9 364.4 378.6 405.9 427.4 454.6 470.8 498.0 519.6 546.8 561.0 582.5 609.8 631.3 658.5 672.7 702.0 721.5 750.7 764.9 792.2 813.7 841.0 862.5 876.6 903.9 925.4 952.7 968.8 996.1 1017.6 1044.9 1059.1 1080.6 1107.8 1129.3 1156.6 1170.8 1200.0 1107.8: 29.2 43.4 64.9 92.2 119.4 140.9 155.1 184.4 203.9 233.1 247.3 274.6 296.1 323.4 344.9 359.0 386.3 407.8 435.1 451.2 478.5 500.0 527.3 541.5 563.0 590.2 611.7 639.0 653.2 682.4 702.0 731.2 745.4 772.6 794.1 821.4 842.9 857.1 884.4 905.9 933.1 949.3 976.5 998.0 1025.3 1039.5 1061.0 1088.3 1109.8 1137.0 1151.2 1180.4 1200.0 1137.0: 14.2 35.7 63.0 90.2 111.7 125.9 155.1 174.7 203.9 218.1 245.4 266.9 294.1 315.6 329.8 357.1 378.6 405.9 422.0 449.3 470.8 498.0 512.2 533.7 561.0 582.5 609.8 624.0 653.2 672.7 702.0 716.1 743.4 764.9 792.2 813.7 827.9 855.1 876.6 903.9 920.1 947.3 968.8 996.1 1010.3 1031.8 1059.1 1080.6 1107.8 1122.0 1151.2 1170.8 1200.0 1151.2: 21.5 48.8 76.0 97.5 111.7 140.9 160.5 189.7 203.9 231.2 252.7 279.9 301.5 315.6 342.9 364.4 391.7 407.8 435.1 456.6 483.9 498.0 519.6 546.8 568.3 595.6 609.8 639.0 658.5 687.8 702.0 729.2 750.7 778.0 799.5 813.7 841.0 862.5 889.7 905.9 933.1 954.6 981.9 996.1 1017.6 1044.9 1066.4 1093.6 1107.8 1137.0 1156.6 1185.8 1200.0 1172.7: 27.3 54.5 76.0 90.2 119.4 139.0 168.2 182.4 209.7 231.2 258.4 279.9 294.1 321.4 342.9 370.2 386.3 413.6 435.1 462.3 476.5 498.0 525.3 546.8 574.1 588.3 617.5 637.0 666.3 680.4 707.7 729.2 756.5 778.0 792.2 819.4 841.0 868.2 884.4 911.6 933.1 960.4 974.6 996.1 1023.4 1044.9 1072.1 1086.3 1115.5 1135.1 1164.3 1178.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 14.1905 .. 29.2178 cents 177147/175616, 15.0273 cents 245/243, 14.1905 cents 2: 35.6968 .. 54.5282 cents 65536/64827, 18.8314 cents 10976/10935, 6.4790 cents 3: 62.9609 .. 77.9882 cents 177147/175616, 15.0273 cents 1029/1024, 8.4327 cents 4: 84.4672 .. 97.5408 cents 1728/1715, 13.0736 cents 10976/10935, 6.4790 cents 5: 106.3692 .. 119.4428 cents 1728/1715, 13.0736 cents 1500625/1492992, 8.8285 cents 6: 125.9218 .. 140.9491 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents 7: 153.1859 .. 168.2132 cents 177147/175616, 15.0273 cents 1605632/1594323, 12.2368 cents 8: 174.6922 .. 189.7195 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents 9: 196.5942 .. 209.6678 cents 1728/1715, 13.0736 cents 4802000/4782969, 6.8748 cents 10: 218.1005 .. 233.1278 cents 177147/175616, 15.0273 cents 1029/1024, 8.4327 cents 11: 239.6068 .. 258.4382 cents 65536/64827, 18.8314 cents 10976/10935, 6.4790 cents 12: 266.8709 .. 281.8982 cents 177147/175616, 15.0273 cents 1029/1024, 8.4327 cents 13: 288.3772 .. 301.4508 cents 1728/1715, 13.0736 cents 10976/10935, 6.4790 cents 14: 308.3255 .. 323.3528 cents 177147/175616, 15.0273 cents 4802000/4782969, 6.8748 cents 15: 329.8318 .. 344.8591 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents 16: 357.0959 .. 372.1232 cents 177147/175616, 15.0273 cents 1605632/1594323, 12.2368 cents 17: 378.6022 .. 393.6295 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents 18: 400.5042 .. 413.5778 cents 1728/1715, 13.0736 cents 4802000/4782969, 6.8748 cents 19: 420.0568 .. 435.0841 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents 20: 443.5168 .. 462.3482 cents 65536/64827, 18.8314 cents 1029/1024, 8.4327 cents 21: 468.8272 .. 483.8545 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents 22: 492.2872 .. 505.3608 cents 1728/1715, 13.0736 cents 1029/1024, 8.4327 cents 23: 512.2355 .. 527.2628 cents 177147/175616, 15.0273 cents 4802000/4782969, 6.8748 cents 24: 533.7418 .. 548.7691 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents 25: 561.0059 .. 576.0332 cents 177147/175616, 15.0273 cents 1605632/1594323, 12.2368 cents 26: 582.5122 .. 595.5858 cents 1728/1715, 13.0736 cents 10976/10935, 6.4790 cents 27: 604.4142 .. 617.4878 cents 1728/1715, 13.0736 cents 1500625/1492992, 8.8285 cents 28: 623.9668 .. 638.9941 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents 29: 651.2309 .. 666.2582 cents 177147/175616, 15.0273 cents 1605632/1594323, 12.2368 cents 30: 672.7372 .. 687.7645 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents 31: 694.6392 .. 707.7128 cents 1728/1715, 13.0736 cents 4802000/4782969, 6.8748 cents 32: 716.1455 .. 731.1728 cents 177147/175616, 15.0273 cents 1029/1024, 8.4327 cents 33: 737.6518 .. 756.4832 cents 65536/64827, 18.8314 cents 10976/10935, 6.4790 cents 34: 764.9159 .. 779.9432 cents 177147/175616, 15.0273 cents 1029/1024, 8.4327 cents 35: 786.4222 .. 799.4958 cents 1728/1715, 13.0736 cents 10976/10935, 6.4790 cents 36: 806.3705 .. 821.3978 cents 177147/175616, 15.0273 cents 4802000/4782969, 6.8748 cents 37: 827.8768 .. 842.9041 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents 38: 855.1409 .. 870.1682 cents 177147/175616, 15.0273 cents 1605632/1594323, 12.2368 cents 39: 876.6472 .. 891.6745 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents 40: 898.5492 .. 911.6228 cents 1728/1715, 13.0736 cents 4802000/4782969, 6.8748 cents 41: 918.1018 .. 933.1291 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents 42: 941.5618 .. 960.3932 cents 65536/64827, 18.8314 cents 1029/1024, 8.4327 cents 43: 966.8722 .. 981.8995 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents 44: 990.3322 .. 1003.4058 cents 1728/1715, 13.0736 cents 1029/1024, 8.4327 cents 45: 1010.2805 .. 1025.3078 cents 177147/175616, 15.0273 cents 4802000/4782969, 6.8748 cents 46: 1031.7868 .. 1046.8141 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents 47: 1059.0509 .. 1074.0782 cents 177147/175616, 15.0273 cents 1605632/1594323, 12.2368 cents 48: 1080.5572 .. 1093.6308 cents 1728/1715, 13.0736 cents 10976/10935, 6.4790 cents 49: 1102.4592 .. 1115.5328 cents 1728/1715, 13.0736 cents 1500625/1492992, 8.8285 cents 50: 1122.0118 .. 1137.0391 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents 51: 1145.4718 .. 1164.3032 cents 65536/64827, 18.8314 cents 1029/1024, 8.4327 cents 52: 1170.7822 .. 1185.8095 cents 177147/175616, 15.0273 cents 10976/10935, 6.4790 cents
SHOW DATA
Number of notes : 53 -- Interval properties -- Smallest interval : 245/243, 14.1905 cents, class 1 Average step (divided formal octave): 22.6415 cents Largest one step interval : 3645/3584, 29.2178 cents Average / Smallest step : 1.595537 Largest / Average step : 1.290453 Largest / Smallest step : 2.058967 Median interval of one step : 81/80, 21.5063 cents, amount: 14 Most common interval of one step : 64/63, 27.2641 cents, amount: 18 Least squares average step : 22.63343 cents, oct.: 1199.57160 cents Scale is strictly proper Step pattern alph. order: ABCDEDCABABCABAFABACBABACDEDCABABCABAFABACBABACDEDCBA Step pattern size order : EDAFCFAEDEDAEDEBEDEADEDEAFCFAEDEDAEDEBEDEADEDEAFCFADE Scale is a Constant Structure, by a margin of 6.47900 cents Scale diversity : 1.335783 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.352590 Number of different interval sizes : 272 = 5.23077 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 5.23077 = 68/13 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 4375/4374, 0.3958 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 46 Most common triad is 0.0 498.045 701.955 cents, amount: 39 Number of recognisable fifths : 77, average 702.2259 cents Number of appreciable fifths : 53, average 701.8868 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Scale contains a complete diamond : 1 3 7 9 21 27 35 63 81 105 315 Length of longest harmonic part : 1 at degree 0 Length of longest subharmonic part : 1 at degree 0 Formal octave complements present : 53 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 26-27 -- Rational properties -- Prime limit : 7 Odd number limit : 99225 (O: 99225 U: 99225) Highest odd numerator or denominator: 315 Scale harmonicity : 0.012981 Average absolute harmonicity : 0.085100 Specific harmonicity : 0.079667 Fundamental : 1/2177280, -21.0541 octaves, 0.0001 Hz. Guide tone : 4354560, 22.0541 octaves, 1139264221.637 Hz. Exponens Consonantiae : 9.481096E+12, 43.10819 octaves Euler's gradus suavitatis : 58 Sum of Mann's harmonic distance : 3171.5, average 59.83962 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 75.22021, average 1.41925 Sum of Tenney's harmonic distance : 150.58744, average 2.84127 Vogel's harmonic complexity : 35.50943 Wille's k value : 1339537 Wilson's harmonic complexity : 54 Rectangular lattice diameter : 14 Triangular lattice diameter : 10 Lattice compactness : 8744.85509, average 6.11101 Lattice compactness (without 2's) : 4678.39729, average 3.26932 Number of different primes : 4 Prime exponents' range, average, count, tones@limit: 2: -8 .. 9 0.50943 183 1 3: -5 .. 5 0.00000 106 8 5: -1 .. 1 0.00000 28 14 7: -1 .. 1 0.00000 30 30 Average exponent except 2's : 0 / 53 = 0.00000 Average absolute exponent except 2's: 164 / 53 = 3.09434 Scale is JI-epimorphic with val: <53 84 123 149| = patent
FIT/MODE
53: 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 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: 3.2815 c. M: 5.1000 c. 77: 2 1 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 1 2 P D3 I SD: 2.4941 c. M:-5.2656 c. 94: 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2 P M ME I SD: 2.1573 c. M: 3.8530 c. 118: 3 2 1 3 2 3 1 3 2 3 2 1 3 2 3 1 3 2 3 1 2 3 2 3 1 3 2 3 1 3 2 3 2 1 3 2 3 1 3 2 3 1 2 3 2 3 1 3 2 3 1 2 3 P I SD: 1.8489 c. M:-3.2444 c. 130: 3 2 2 3 2 3 2 3 2 3 2 2 3 2 3 2 3 2 3 2 2 3 2 3 2 3 2 3 2 3 2 3 2 2 3 2 3 2 3 2 3 2 2 3 2 3 2 3 2 3 2 2 3 SP D3 I SD: 1.7142 c. M:-3.4496 c. 147: 3 3 2 3 3 3 2 3 3 3 3 2 3 3 3 2 3 3 3 2 3 3 3 3 2 3 3 3 2 3 3 3 3 2 3 3 3 2 3 3 3 2 3 3 3 3 2 3 3 3 2 3 3 SP M ME I SD: 1.9310 c. M: 2.8977 c. 171: 4 3 2 4 3 4 2 4 3 4 3 2 4 3 4 2 4 3 4 2 3 4 3 4 2 4 3 4 2 4 3 4 3 2 4 3 4 2 4 3 4 2 3 4 3 4 2 4 3 4 2 3 4 SP I SD: 0.5573 c. M: 1.1549 c. 400: 9 7 5 10 6 10 5 9 7 9 7 5 9 7 9 6 9 7 9 5 7 9 7 9 5 10 6 10 5 9 7 9 7 5 9 7 9 6 9 7 9 5 7 9 7 9 5 10 6 10 5 7 9 SP I SD: 0.5597 c. M:-0.9504 c. 441: 10 8 5 11 7 11 5 10 8 10 8 5 10 8 10 6 10 8 10 5 8 10 8 10 5 11 7 11 5 10 8 10 8 5 10 8 10 6 10 8 10 5 8 10 8 10 5 11 7 11 5 8 10 SP I SD: 0.2445 c. M: 0.5475 c. 494: 11 9 6 12 8 12 6 11 9 11 9 6 11 9 11 7 11 9 11 6 9 11 9 11 6 12 8 12 6 11 9 11 9 6 11 9 11 7 11 9 11 6 9 11 9 11 6 12 8 12 6 9 11 SP I SD: 0.2638 c. M:-0.5434 c. 571: 13 10 7 14 9 14 7 13 10 13 10 7 13 10 13 8 13 10 13 7 10 13 10 13 7 14 9 14 7 13 10 13 10 7 13 10 13 8 13 10 13 7 10 13 10 13 7 14 9 14 7 10 13 SP I SD: 0.2922 c. M:-0.4912 c. 612: 14 11 7 15 10 15 7 14 11 14 11 7 14 11 14 8 14 11 14 7 11 14 11 14 7 15 10 15 7 14 11 14 11 7 14 11 14 8 14 11 14 7 11 14 11 14 7 15 10 15 7 11 14 SP I SD: 0.1708 c. M: 0.2608 c. 665: 15 12 8 16 11 16 8 15 12 15 12 8 15 12 15 9 15 12 15 8 12 15 12 15 8 16 11 16 8 15 12 15 12 8 15 12 15 9 15 12 15 8 12 15 12 15 8 16 11 16 8 12 15 SP I SD: 0.1346 c. M:-0.1972 c. 1106: 25 20 13 27 18 27 13 25 20 25 20 13 25 20 25 15 25 20 25 13 20 25 20 25 13 27 18 27 13 25 20 25 20 13 25 20 25 15 25 20 25 13 20 25 20 25 13 27 18 27 13 20 25 SP I SD: 0.0819 c. M: 0.1594 c. 1277: 29 23 15 31 21 31 15 29 23 29 23 15 29 23 29 17 29 23 29 15 23 29 23 29 15 31 21 31 15 29 23 29 23 15 29 23 29 17 29 23 29 15 23 29 23 29 15 31 21 31 15 23 29 SP I SD: 0.0684 c. M: 0.1042 c. 1848: 42 33 22 45 30 45 22 42 33 42 33 22 42 33 42 25 42 33 42 22 33 42 33 42 22 45 30 45 22 42 33 42 33 22 42 33 42 25 42 33 42 22 33 42 33 42 22 45 30 45 22 33 42 SP I SD: 0.0446 c. M: 0.0830 c. 2289: 52 41 27 56 37 56 27 52 41 52 41 27 52 41 52 31 52 41 52 27 41 52 41 52 27 56 37 56 27 52 41 52 41 27 52 41 52 31 52 41 52 27 41 52 41 52 27 56 37 56 27 41 52 SP I SD: 0.0442 c. M: 0.0886 c. 2460: 56 44 29 60 40 60 29 56 44 56 44 29 56 44 56 33 56 44 56 29 44 56 44 56 29 60 40 60 29 56 44 56 44 29 56 44 56 33 56 44 56 29 44 56 44 56 29 60 40 60 29 44 56 SP I SD: 0.0283 c. M:-0.0530 c. 2954: 67 53 35 72 48 72 35 67 53 67 53 35 67 53 67 40 67 53 67 35 53 67 53 67 35 72 48 72 35 67 53 67 53 35 67 53 67 40 67 53 67 35 53 67 53 67 35 72 48 72 35 53 67 SP I SD: 0.0268 c. M:-0.0567 c. 3125: 71 56 37 76 51 76 37 71 56 71 56 37 71 56 71 42 71 56 71 37 56 71 56 71 37 76 51 76 37 71 56 71 56 37 71 56 71 42 71 56 71 37 56 71 56 71 37 76 51 76 37 56 71 SP I SD: 0.0101 c. M:-0.0211 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: 0.0000 cents 4 .. 8 match: 4 H SD: 0.0000 cents 5 .. 10 match: 5 H SD: 1.5423 cents 6 .. 12 match: 6 H SD: 0.7504 cents 7 .. 14 match: 7 H SD: 2.5289 cents 8 .. 16 match: 8 H SD: 0.5653 cents 9 .. 18 match: 9 H SD: 0.9417 cents 10 .. 20 match: 10 H SD: 1.8863 cents 11 .. 22 match: 11 H SD: 2.0707 cents 12 .. 24 match: 12 H SD: 1.1731 cents 13 .. 26 match: 13 H SD: 1.7334 cents 14 .. 28 match: 14 H SD: 1.7012 cents 15 .. 30 match: 15 H SD: 1.5478 cents 16 .. 32 match: 16 H SD: 1.3021 cents 17 .. 34 match: 17 H SD: 1.9200 cents 18 .. 36 match: 18 H SD: 1.1791 cents 19 .. 38 match: 19 H SD: 1.3144 cents 20 .. 40 match: 20 H SD: 1.3641 cents 21 .. 42 match: 21 H SD: 1.5415 cents 22 .. 44 match: 22 H SD: 1.6053 cents 23 .. 46 match: 23 H SD: 1.7984 cents 24 .. 48 match: 24 H SD: 1.0598 cents 25 .. 50 match: 25 H SD: 1.3666 cents 26 .. 52 match: 26 H SD: 1.2674 cents 27 .. 54 match: 27 H SD: 1.1365 cents 28 .. 56 match: 28 H SD: 1.3032 cents 29 .. 58 match: 29 H SD: 1.3217 cents 30 .. 60 match: 30 H SD: 1.2739 cents 31 .. 62 match: 31 H SD: 1.2083 cents 32 .. 64 match: 32 H SD: 1.0163 cents 33 .. 66 match: 33 H SD: 1.2482 cents 34 .. 68 match: 33 S SD: 1.2702 cents 35 .. 70 match: 34 S SD: 0.9785 cents 36 .. 72 match: 35 S SD: 0.9963 cents 37 .. 74 match: 37 H SD: 1.1689 cents 38 .. 76 match: 38 H SD: 1.1168 cents 39 .. 78 match: 39 H SD: 1.1158 cents 40 .. 80 match: 40 H SD: 1.0381 cents 41 .. 82 match: 41 H SD: 1.0769 cents 42 .. 84 match: 41 SD: 0.9868 cents 43 .. 86 match: 41 SD: 1.2058 cents 44 .. 88 match: 40 SD: 1.0556 cents 45 .. 90 match: 44 SD: 0.9440 cents 46 .. 92 match: 42 SD: 1.0709 cents 47 .. 94 match: 43 SD: 1.0919 cents 48 .. 96 match: 43 SD: 0.8085 cents 49 .. 98 match: 42 SD: 0.9940 cents 50 .. 100 match: 46 S SD: 0.9322 cents 51 .. 102 match: 46 SD: 1.0004 cents 52 .. 104 match: 47 SD: 0.8502 cents 53 .. 106 match: 45 SD: 1.0003 cents 54 .. 108 match: 47 SD: 0.7511 cents 55 .. 110 match: 47 SD: 0.7967 cents 56 .. 112 match: 49 SD: 0.7863 cents 57 .. 114 match: 50 SD: 0.7768 cents 58 .. 116 match: 46 SD: 0.8464 cents 59 .. 118 match: 50 SD: 0.7924 cents 60 .. 120 match: 49 SD: 0.7485 cents 61 .. 122 match: 48 SD: 0.8061 cents 62 .. 124 match: 46 SD: 0.8547 cents 63 .. 126 match: 51 SD: 0.7708 cents 64 .. 128 match: 49 SD: 0.6292 cents 65 .. 130 match: 49 SD: 0.6709 cents 66 .. 132 match: 49 SD: 0.7840 cents 67 .. 134 match: 48 SD: 0.7540 cents 68 .. 136 match: 51 SD: 0.8031 cents 69 .. 138 match: 50 SD: 0.7044 cents 70 .. 140 match: 53 SD: 0.6412 cents 71 .. 142 match: 51 SD: 0.6123 cents 72 .. 144 match: 52 SD: 0.6084 cents 73 .. 146 match: 52 SD: 0.6759 cents 74 .. 148 match: 52 SD: 0.6045 cents 77 .. 154 match: 51 SD: 0.6114 cents 78 .. 156 match: 52 SD: 0.5995 cents 79 .. 158 match: 51 SD: 0.6523 cents 80 .. 160 match: 51 SD: 0.6352 cents 81 .. 162 match: 53 SD: 0.5891 cents 83 .. 166 match: 53 SD: 0.5756 cents 84 .. 168 match: 52 SD: 0.6146 cents 86 .. 172 match: 51 SD: 0.5845 cents 88 .. 176 match: 52 SD: 0.5498 cents 89 .. 178 match: 51 SD: 0.5760 cents 90 .. 180 match: 51 SD: 0.5246 cents 91 .. 182 match: 52 SD: 0.5376 cents 92 .. 184 match: 52 SD: 0.5468 cents 93 .. 186 match: 52 SD: 0.6220 cents 94 .. 188 match: 52 SD: 0.5347 cents 95 .. 190 match: 53 SD: 0.5236 cents 96 .. 192 match: 53 SD: 0.4938 cents 101 .. 202 match: 52 SD: 0.5287 cents 102 .. 204 match: 53 SD: 0.5041 cents 103 .. 206 match: 53 SD: 0.4915 cents 104 .. 208 match: 53 SD: 0.4626 cents 105 .. 210 match: 52 SD: 0.3925 cents 112 .. 224 match: 52 SD: 0.4356 cents 114 .. 228 match: 53 SD: 0.4138 cents 118 .. 236 match: 53 SD: 0.4118 cents 120 .. 240 match: 53 SD: 0.3923 cents 125 .. 250 match: 53 SD: 0.3812 cents 126 .. 252 match: 53 SD: 0.3564 cents 128 .. 256 match: 53 SD: 0.3390 cents 135 .. 270 match: 53 SD: 0.3290 cents 140 .. 280 match: 53 SD: 0.3218 cents 151 .. 302 match: 53 SD: 0.3018 cents 160 .. 320 match: 53 SD: 0.3010 cents 161 .. 322 match: 53 SD: 0.2996 cents 162 .. 324 match: 53 SD: 0.2824 cents 168 .. 336 match: 53 SD: 0.2607 cents 180 .. 360 match: 53 SD: 0.2506 cents 183 .. 366 match: 53 SD: 0.2438 cents 192 .. 384 match: 53 SD: 0.2312 cents 199 .. 398 match: 53 SD: 0.2232 cents 210 .. 420 match: 53 SD: 0.2128 cents 216 .. 432 match: 53 SD: 0.1998 cents 234 .. 468 match: 53 SD: 0.1954 cents 237 .. 474 match: 53 SD: 0.1909 cents 240 .. 480 match: 53 SD: 0.1852 cents 256 .. 512 match: 53 SD: 0.1649 cents 269 .. 538 match: 53 SD: 0.1640 cents 280 .. 560 match: 53 SD: 0.1596 cents 288 .. 576 match: 53 SD: 0.1536 cents 312 .. 624 match: 53 SD: 0.1501 cents 317 .. 634 match: 53 SD: 0.1466 cents 320 .. 640 match: 53 SD: 0.1269 cents 351 .. 702 match: 53 SD: 0.1259 cents 360 .. 720 match: 53 SD: 0.1253 cents 374 .. 748 match: 53 SD: 0.1211 cents 377 .. 754 match: 53 SD: 0.1197 cents 378 .. 756 match: 53 SD: 0.1134 cents 384 .. 768 match: 53 SD: 0.1051 cents 426 .. 852 match: 53 SD: 0.0970 cents 448 .. 896 match: 53 SD: 0.0932 cents 480 .. 960 match: 53 SD: 0.0923 cents 490 .. 980 match: 53 SD: 0.0908 cents 504 .. 1008 match: 53 SD: 0.0869 cents 512 .. 1024 match: 53 SD: 0.0803 cents 560 .. 1120 match: 53 SD: 0.0783 cents 567 .. 1134 match: 53 SD: 0.0714 cents