Scala analysis: Newton_14_out_of_53
from drawing: Cambridge Univ.Lib.,Ms.Add.4000,fol.105v ; November 1665
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 10/9 182.403712 minor whole tone 2: 9/8 203.910002 major whole tone 3: 32/27 294.134997 Pythagorean minor third 4: 5/4 386.313714 major third 5: 4/3 498.044999 perfect fourth 6: 45/32 590.223716 diatonic tritone 7: 40/27 680.448711 grave fifth 8: 3/2 701.955001 perfect fifth 9: 128/81 792.179997 Pythagorean minor sixth 10: 5/3 884.358713 major sixth, BP sixth 11: 27/16 905.865003 Pythagorean major sixth 12: 16/9 996.089998 Pythagorean minor seventh 13: 15/8 1088.268715 classic major seventh 14: 160/81 1178.493710 octave - syntonic comma
SHOW/INTERVAL
0: 256/243 90.2250 limma, Pythagorean minor second 1: 10/9 182.4037 minor whole tone 2: 81/80 21.5063 syntonic comma, Didymus comma 3: 256/243 90.2250 limma, Pythagorean minor second 4: 135/128 92.1787 major chroma, major limma 5: 16/15 111.7313 minor diatonic semitone 6: 135/128 92.1787 major chroma, major limma 7: 256/243 90.2250 limma, Pythagorean minor second 8: 81/80 21.5063 syntonic comma, Didymus comma 9: 256/243 90.2250 limma, Pythagorean minor second 10: 135/128 92.1787 major chroma, major limma 11: 81/80 21.5063 syntonic comma, Didymus comma 12: 256/243 90.2250 limma, Pythagorean minor second 13: 135/128 92.1787 major chroma, major limma 14: 256/243 90.2250 limma, Pythagorean minor second
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 81/80 21.506 cents syntonic comma, Didymus comma 1: 5 256/243 90.225 cents limma, Pythagorean minor second 1: 4 135/128 92.179 cents major chroma, major limma 1: 1 16/15 111.731 cents minor diatonic semitone 1: 1 10/9 182.404 cents minor whole tone 2: 4 16/15 111.731 cents minor diatonic semitone 2: 1 2187/2048 113.685 cents apotome 2: 5 10/9 182.404 cents minor whole tone 2: 3 9/8 203.910 cents major whole tone 2: 1 2560/2187 272.629 cents grave minor third 3: 1 4096/3645 201.956 cents narrow diminished third 3: 6 9/8 203.910 cents major whole tone 3: 1 2560/2187 272.629 cents grave minor third 3: 4 32/27 294.135 cents Pythagorean minor third 3: 1 1215/1024 296.089 cents wide augmented second 3: 1 100/81 364.807 cents grave major third 4: 1 729/640 225.416 cents acute major second 4: 4 32/27 294.135 cents Pythagorean minor third 4: 1 1215/1024 296.089 cents wide augmented second 4: 2 6/5 315.641 cents minor third 4: 1 8192/6561 384.360 cents Pythagorean diminished fourth 4: 4 5/4 386.314 cents major third 4: 1 25600/19683 455.032 cents 5: 2 6/5 315.641 cents minor third 5: 3 5/4 386.314 cents major third 5: 1 512/405 405.866 cents narrow diminished fourth 5: 2 81/64 407.820 cents Pythagorean major third 5: 5 320/243 476.539 cents grave fourth 5: 1 4/3 498.045 cents perfect fourth 6: 1 512/405 405.866 cents narrow diminished fourth 6: 2 81/64 407.820 cents Pythagorean major third 6: 1 320/243 476.539 cents grave fourth 6: 5 4/3 498.045 cents perfect fourth 6: 1 81920/59049 566.764 cents 6: 2 25/18 568.717 cents classic augmented fourth 6: 1 1024/729 588.270 cents Pythagorean diminished fifth 6: 1 45/32 590.224 cents diatonic tritone 7: 3 4/3 498.045 cents perfect fourth 7: 2 27/20 519.551 cents acute fourth 7: 2 1024/729 588.270 cents Pythagorean diminished fifth 7: 2 45/32 590.224 cents diatonic tritone 7: 2 3200/2187 658.942 cents 7: 3 40/27 680.449 cents grave fifth 8: 1 1024/729 588.270 cents Pythagorean diminished fifth 8: 1 45/32 590.224 cents diatonic tritone 8: 2 64/45 609.776 cents 2nd tritone 8: 1 729/512 611.730 cents Pythagorean tritone 8: 5 40/27 680.449 cents grave fifth 8: 1 3/2 701.955 cents perfect fifth 8: 2 10240/6561 770.674 cents grave minor sixth 8: 1 25/16 772.627 cents classic augmented fifth 9: 1 40/27 680.449 cents grave fifth 9: 5 3/2 701.955 cents perfect fifth 9: 2 10240/6561 770.674 cents grave minor sixth 9: 1 25/16 772.627 cents classic augmented fifth 9: 3 128/81 792.180 cents Pythagorean minor sixth 9: 2 400/243 862.852 cents grave major sixth 10: 1 243/160 723.461 cents acute fifth 10: 4 128/81 792.180 cents Pythagorean minor sixth 10: 1 405/256 794.134 cents wide augmented fifth 10: 2 400/243 862.852 cents grave major sixth 10: 1 32768/19683 882.405 cents Pythagorean diminished seventh 10: 4 5/3 884.359 cents major sixth, BP sixth 10: 1 102400/59049 953.077 cents two (grave fourth) 11: 1 8/5 813.686 cents minor sixth 11: 1 32768/19683 882.405 cents Pythagorean diminished seventh 11: 4 5/3 884.359 cents major sixth, BP sixth 11: 1 27/16 905.865 cents Pythagorean major sixth 11: 6 1280/729 974.584 cents grave minor seventh 11: 1 225/128 976.537 cents augmented sixth 12: 1 27/16 905.865 cents Pythagorean major sixth 12: 3 1280/729 974.584 cents grave minor seventh 12: 5 16/9 996.090 cents Pythagorean minor seventh 12: 1 327680/177147 1064.809 cents 12: 4 50/27 1066.762 cents grave major seventh 13: 1 16/9 996.090 cents Pythagorean minor seventh 13: 1 50/27 1066.762 cents grave major seventh 13: 4 4096/2187 1086.315 cents Pythagorean diminished octave 13: 5 15/8 1088.269 cents classic major seventh 13: 3 12800/6561 1156.987 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 6.15385 = 80/13
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 0.0 : 182.4 203.9 294.1 386.3 498.0 590.2 680.4 702.0 792.2 884.4 905.9 996.1 1088.3 1178.5 182.4 : 21.5 111.7 203.9 315.6 407.8 498.0 519.6 609.8 702.0 723.5 813.7 905.9 996.1 1178.5 203.9 : 90.2 182.4 294.1 386.3 476.5 498.0 588.3 680.4 702.0 792.2 884.4 974.6 1157.0 1178.5 294.1 : 92.2 203.9 296.1 386.3 407.8 498.0 590.2 611.7 702.0 794.1 884.4 1066.8 1088.3 1178.5 386.3 : 111.7 203.9 294.1 315.6 405.9 498.0 519.6 609.8 702.0 792.2 974.6 996.1 1086.3 1178.5 498.0 : 92.2 182.4 203.9 294.1 386.3 407.8 498.0 590.2 680.4 862.9 884.4 974.6 1066.8 1178.5 590.2 : 90.2 111.7 202.0 294.1 315.6 405.9 498.0 588.3 770.7 792.2 882.4 974.6 1086.3 1178.5 680.4 : 21.5 111.7 203.9 225.4 315.6 407.8 498.0 680.4 702.0 792.2 884.4 996.1 1088.3 1178.5 702.0 : 90.2 182.4 203.9 294.1 386.3 476.5 658.9 680.4 770.7 862.9 974.6 1066.8 1157.0 1178.5 792.2 : 92.2 113.7 203.9 296.1 386.3 568.7 590.2 680.4 772.6 884.4 976.5 1066.8 1088.3 1178.5 884.4 : 21.5 111.7 203.9 294.1 476.5 498.0 588.3 680.4 792.2 884.4 974.6 996.1 1086.3 1178.5 905.9 : 90.2 182.4 272.6 455.0 476.5 566.8 658.9 770.7 862.9 953.1 974.6 1064.8 1157.0 1178.5 996.1 : 92.2 182.4 364.8 386.3 476.5 568.7 680.4 772.6 862.9 884.4 974.6 1066.8 1088.3 1178.5 1088.3: 90.2 272.6 294.1 384.4 476.5 588.3 680.4 770.7 792.2 882.4 974.6 996.1 1086.3 1178.5 1178.5
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 21.5063 .. 182.4037 cents 800/729, 160.8974 cents 81/80, 21.5063 cents 2: 111.7313 .. 272.6287 cents 800/729, 160.8974 cents 24/25,-70.6724 cents 3: 201.9563 .. 364.8074 cents 1125/1024, 162.8511 cents 24/25,-70.6724 cents 4: 225.4163 .. 455.0324 cents 16384000/14348907, 229.6161 cents 59049/64000,-139.3911 cents 5: 315.6413 .. 498.0450 cents 10/9, 182.4037 cents 59049/64000,-139.3911 cents 6: 405.8663 .. 590.2237 cents 18225/16384, 184.3574 cents 128/135,-92.1787 cents 7: 498.0450 .. 680.4487 cents 10/9, 182.4037 cents 128/135,-92.1787 cents 8: 588.2700 .. 772.6274 cents 18225/16384, 184.3574 cents 128/135,-92.1787 cents 9: 680.4487 .. 862.8524 cents 10/9, 182.4037 cents 128/135,-92.1787 cents 10: 723.4613 .. 953.0774 cents 16384000/14348907, 229.6161 cents 59049/64000,-139.3911 cents 11: 813.6863 .. 976.5374 cents 1125/1024, 162.8511 cents 59049/64000,-139.3911 cents 12: 905.8650 .. 1066.7624 cents 800/729, 160.8974 cents 24/25,-70.6724 cents 13: 996.0900 .. 1156.9874 cents 800/729, 160.8974 cents 24/25,-70.6724 cents
SHOW DATA
Number of notes : 14 -- Interval properties -- Smallest interval : 81/80, 21.5063 cents, class 1 Average step (divided formal octave): 84.1781 cents Largest one step interval : 10/9, 182.4037 cents Average / Smallest step : 3.914116 Largest / Average step : 2.166878 Largest / Smallest step : 8.481412 Median interval of one step : 256/243, 90.2250 cents, amount: 5 Most common interval of one step : 256/243, 90.2250 cents, amount: 5 Least squares average step : 86.66546 cents, oct.: 1213.31640 cents Scale is not proper Step pattern alph. order: ABCDEDCBCDBCDC Step pattern size order : EABCDCBABCABCB Scale is not a Constant Structure Scale diversity : 1.284434 Lumma stability : 0.036498 Lumma impropriety factor : 0.777201 Number of different interval sizes : 50 = 3.84615 / class Number of one step interval sizes : 5 Highest interval variety : 8 Mean interval variety : 6.15385 = 80/13 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 32805/32768, 1.9537 cents Most common triad is 0.0 203.910 498.045 cents, amount: 7 Number of recognisable fifths : 6, average 701.9550 cents Number of recognisable fourths : 9, average 498.0450 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 : 9 = 64.2857% 2/1 octave complements present : 6 = 42.8571% Scale is n-1 differentially coherent in interval classes 2 and 3 combined -- Rational properties -- Prime limit : 5 Odd number limit : 177147 (O: 2187 U: 177147) Highest odd numerator or denominator: 81 Scale harmonicity : 0.026978 Average absolute harmonicity : 0.106022 Specific harmonicity : 0.144132 Fundamental : 1/2592, -11.3399 octaves, 0.1009 Hz. Guide tone : 17280, 14.0768 octaves, 4520889.768 Hz. Exponens Consonantiae : 4.478976E+07, 25.41667 octaves Euler's gradus suavitatis : 31 Sum of Mann's harmonic distance : 404.5, average 28.89286 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 16.15528, average 1.15395 Sum of Tenney's harmonic distance : 32.27566, average 2.30540 Vogel's harmonic complexity : 17.78571 Wille's k value : 1822 Wilson's harmonic complexity : 26 Rectangular lattice diameter : 8 Triangular lattice diameter : 7 Lattice compactness : 554.12473, average 5.27738 Lattice compactness (without 2's) : 298.11822, average 2.83922 Number of different primes : 3 Prime exponents' range, average, count, tones@limit: 2: -5 .. 7 0.64286 45 3: -4 .. 3 -0.78571 29 7 5: 0 .. 1 0.50000 7 7 Average exponent except 2's :-4 / 14 =-0.28571 Average absolute exponent except 2's: 36 / 14 = 2.57143
FIT/MODE
14: 2 0 1 1 2 1 1 0 1 1 1 1 1 1 N T3 SD: 27.0079 c. M: 49.6012 c. 16: 3 0 1 1 2 1 1 1 1 1 0 2 1 1 N SD: 21.1000 c. M:-38.5639 c. 18: 3 0 2 1 2 1 2 0 1 2 0 1 2 1 N SD: 20.6684 c. M:-39.7419 c. 19: 3 0 2 1 2 2 1 0 2 1 1 1 2 1 N SD: 16.7971 c. M:-30.0361 c. 20: 3 0 2 1 2 2 1 1 1 2 0 2 1 2 N SD: 19.9719 c. M: 32.7656 c. 21: 3 1 1 2 2 2 1 1 1 2 0 2 1 2 N SD: 15.6080 c. M:-27.5887 c. 22: 3 1 1 2 2 2 2 0 2 1 1 2 1 2 N SD: 16.0138 c. M: 27.2724 c. 24: 4 0 2 2 2 2 2 0 2 2 0 2 2 2 N SD: 9.9683 c. M: 21.9947 c. 27: 4 1 2 2 2 3 2 0 2 2 1 2 2 2 N SD: 11.6061 c. M:-20.8471 c. 28: 4 1 2 2 3 2 2 1 2 2 1 2 2 2 N SD: 9.5414 c. M:-20.0943 c. 30: 5 0 2 3 3 2 2 1 2 3 0 2 3 2 N SD: 11.1983 c. M: 19.1531 c. 31: 5 0 3 2 3 3 2 0 3 2 1 2 3 2 N SD: 10.3345 c. M:-18.0311 c. 33: 5 1 2 3 3 3 2 1 2 3 0 3 2 3 N SD: 9.5027 c. M: 16.9108 c. 36: 6 0 3 3 3 3 3 0 3 3 1 2 3 3 N SD: 8.5471 c. M: 14.5003 c. 39: 6 1 3 3 4 3 3 0 3 3 1 3 3 3 N SD: 8.3686 c. M:-15.6574 c. 40: 6 1 3 3 4 3 3 1 3 3 1 3 3 3 N SD: 3.7175 c. M:-7.4676 c. 52: 8 1 4 4 5 4 4 1 4 4 1 4 4 4 N SD: 0.7365 c. M: 1.0970 c. 116: 18 2 9 9 11 9 9 2 9 9 2 9 9 9 N SD: 0.7468 c. M: 1.6759 c. 168: 26 3 13 13 16 13 13 3 13 13 3 13 13 13 N SD: 0.5489 c. M: 0.9769 c. 220: 34 4 17 17 21 17 17 4 17 17 4 17 17 17 N SD: 0.5069 c. M: 0.9769 c. 329: 51 6 25 26 31 26 25 6 25 26 6 25 26 25 N SD: 0.4214 c. M:-0.8142 c. 341: 53 6 26 27 32 27 26 6 26 27 6 26 27 26 N SD: 0.5275 c. M: 0.7639 c. 369: 57 7 28 29 35 29 28 7 28 29 7 28 29 28 N SD: 0.5077 c. M:-1.1600 c. 381: 59 7 29 30 36 30 29 7 29 30 7 29 30 29 N SD: 0.3025 c. M:-0.5697 c. 393: 61 7 30 31 37 31 30 7 30 31 7 30 31 30 N SD: 0.3606 c. M:-0.5225 c. 433: 67 8 33 34 41 34 33 8 33 34 8 33 34 33 N SD: 0.2341 c. M:-0.4593 c. 445: 69 8 34 35 42 35 34 8 34 35 8 34 35 34 N SD: 0.2329 c. M:-0.3473 c. 485: 75 9 37 38 46 38 37 9 37 38 9 37 38 37 N SD: 0.2082 c. M:-0.4817 c. 497: 77 9 38 39 47 39 38 9 38 39 9 38 39 38 N SD: 0.1324 c. M:-0.2087 c. 549: 85 10 42 43 52 43 42 10 42 43 10 42 43 42 N SD: 0.0533 c. M:-0.0964 c. 601: 93 11 46 47 57 47 46 11 46 47 11 46 47 46 N SD: 0.0294 c. M:-0.0653 c. 1150: 178 21 88 90 109 90 88 21 88 90 21 88 90 88 N SD: 0.0256 c. M:-0.0479 c. 1751: 271 32 134 137 166 137 134 32 134 137 32 134 137 134 N SD: 0.0222 c. M:-0.0474 c.
FIT/HARMONIC
1 x x x x x x x x x x x x x 2 S SD: 21.5063 cents 2 x x x x x x x 3 x x x x x 4 S SD: 10.7531 cents 3 x x x x 4 x x x x 5 x x x 6 S SD: 7.1688 cents 4 x x x 5 x x x 6 x x x 7 x 8 S SD: 8.6813 cents 5 x x 6 x x 7 x x 8 x x 9 x 10 S SD: 8.7397 cents 6 x x 7 x 8 x x 9 x 10 x x 11:12 S SD: 8.6915 cents 7 x 8 x 9 x 10 x x 11 x 12 x 13:14 S SD: 10.5360 cents 8 x 9 x 10 x 11 x 12 x 13 x 14:15:16 S SD: 8.5153 cents 9:10 x x 11:12 x 13 x 14:15 x 16:17:18 S SD: 7.7011 cents 10:11 x 12 x 13:14 x 15:16 x 17:18:19:20 S SD: 6.9444 cents 11:12 x 13:14:15 x 16 x 17:18:19:20:21:22 S SD: 9.7911 cents 12:13 x 14:15:16:17 x 18:19:20 x 21:23:24 SD: 6.7376 cents 13:14:15 x 16:17:18:19:20:21 x 22:23:24:26 S SD: 9.3607 cents 14 x 16:17:18:19:20 x 21:22:23:24:25:26:28 S SD: 7.8271 cents 15 x 17:18:19:20:21:22:23:24:25 x 27:28:30 SD: 5.5331 cents 16 x 18:19:20:21:23 x 24:25 x 27:28:30:32 SD: 5.5972 cents 17:19 x 20:21:23:24:25:26:27:28:29:30:32:34 SD: 4.9755 cents 18:20 x 21:23:24:25 x 27:28:30 x 32:34:36 SD: 5.7660 cents 19:21 x 23:24:25:27:28:29:30 x 32:34:36:38 SD: 5.6097 cents 20:22:23:24:25:27:28 x 30:32:33:34:36:38:40 SD: 5.5012 cents 21:23:24:25:26:28:30:31:32:33:35 x 37:39:41 SD: 5.0093 cents 22:24:25:26:28:29:31 x 33:35 x 37:39:41:43 SD: 4.8248 cents 23 x 26:27:29:31:32:34:35:36:38:39:41:43:45 SD: 4.0618 cents 24 x 27:28:30:32:34 x 36:38:40:41:43:45:47 SD: 3.5099 cents 25 x 28:30:31:33:35:37:38:40 x 42:44:47:49 SD: 4.2767 cents 26:29 x 31:33:35:37 x 39:41:43:44:46:49:51 SD: 3.7822 cents 27:30 x 32:34:36:38:40:41:43:45:46:48:51:53 SD: 2.8293 cents 28:31:32:33:35:37:39:41:42:44 x 47:50:53:55 SD: 3.7688 cents 29:32:33:34:36:39:41:43:44:46:48:49:52:54:57 SD: 3.4700 cents 31:34:35:37:39:41:44:46:47:49 x 52:55:58:61 SD: 3.2627 cents 32 x 36:38:40:43:45:47:48:51:53:54:57:60:63 SD: 2.1697 cents 33 x 37:39:41:44:46:49:50:52:55:56:59:62:65 SD: 2.3955 cents 34:38 x 40:43:45:48:50:51:54:57 x 60:64:67 SD: 3.1780 cents 35:39 x 41:44:47:49:52:53:55:58:59:62:66:69 SD: 2.8556 cents 36:40:41:43:45:48:51:53:54:57:60:61:64:68:71 SD: 2.4184 cents 37:41:42:44:46:49:52:55:56:58:62 x 66:69:73 SD: 2.6726 cents 38:42:43:45:48:51:53:56:57:60:63:64:68:71:75 SD: 2.4700 cents 39:43:44:46:49:52:55:58:59:62:65:66:69:73:77 SD: 2.0794 cents 41 x 46:49:51:55:58:61:62:65:68:69:73:77:81 SD: 2.3208 cents 42 x 47:50:53:56:59:62:63:66:70:71:75:79:83 SD: 1.9584 cents 43:48 x 51:54:57:60:64:65:68:72:73:76:81:85 SD: 2.4323 cents 44:49:50:52:55:59:62:65:66:70:73:74:78:83:87 SD: 2.0746 cents 45:50:51:53:56:60:63:67:68:71:75:76:80:84:89 SD: 1.9050 cents 48:53:54:57:60:64:68:71:72:76:80:81:85:90:95 SD: 1.3712 cents 50 x 56:59:63:67:70:74:75:79:83:84:89:94:99 SD: 1.8762 cents 51:57 x 60:64:68:72:76:77:81:85:86:91:96:101 SD: 2.1378 cents 52:58:59:62:65:69:73:77:78:82:87:88:92:98:103 SD: 1.8905 cents 54:60:61:64:68:72:76:80:81:85:90:91:96:101:107 SD: 1.2675 cents 59 x 66:70:74:79:83:87:89:93:98:100:105:111:117 SD: 1.7928 cents 60:67:68:71:75:80:84:89:90:95:100:101:107:113:119 SD: 1.5590 cents 63:70:71:75:79:84:89:93:95:100:105:106:112:118:124 SD: 1.4474 cents 64:71:72:76:80:85:90:95:96:101:107:108:114:120:126 SD: 0.8899 cents 81:90:91:96:101:108:114:120:122:128:135:137:144:152:160 SD: 0.6933 cents 96:107:108:114:120:128:135:142:144:152:160:162:171:180:190 SD: 0.6474 cents 120:133:135:142:150:160:169:178:180:190:200:203:213:225:237 SD: 0.6161 cents 128:142:144:152:160:171:180:190:192:202:213:216:228:240:253 SD: 0.5843 cents 135:150:152:160:169:180:190:200:203:213:225:228:240:253:267 SD: 0.4717 cents 152:169:171:180:190:203:214:225:228:240:253:257:270:285:300 SD: 0.4528 cents 160:178:180:190:200:213:225:237:240:253:267:270:284:300:316 SD: 0.4332 cents 162:180:182:192:203:216:228:240:243:256:270:273:288:304:320 SD: 0.4139 cents 199:221:224:236:249:265:280:295:299:314:332:336:354:373:393 SD: 0.4131 cents 200:222:225:237:250:267:281:296:300:316:333:338:356:375:395 SD: 0.3747 cents 207:230:233:245:259:276:291:307:311:327:345:349:368:388:409 SD: 0.3505 cents 216:240:243:256:270:288:304:320:324:341:360:365:384:405:427 SD: 0.2510 cents 288:320:324:341:360:384:405:427:432:455:480:486:512:540:569 SD: 0.1594 cents 384:427:432:455:480:512:540:569:576:607:640:648:683:720:759 SD: 0.1485 cents 432:480:486:512:540:576:608:640:648:683:720:729:768:810:853 SD: 0.1278 cents 480:533:540:569:600:640:675:711:720:759:800:810:853:900:948 SD: 0.1257 cents 567:630:638:672:709:756:797:840:851:896:945:957:1008:1063:1120 SD: 0.1068 cents 576:640:648:683:720:768:810:853:864:910:960:972:1024:1080:1138 SD: 0.0864 cents