Scala analysis: islandude
Dudon(676/675) in 940et
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 111.064 cents 111.063830 2: 182.553 cents 182.553190 3: 248.936 cents 248.936170 4: 315.319 cents 315.319150 5: 386.809 cents 386.808510 6: 497.872 cents 497.872340 7: 608.936 cents 608.936170 8: 702.128 cents 702.127660 9: 813.191 cents 813.191490 10: 884.681 cents 884.680850 11: 995.745 cents 995.744680 12: 1088.936 cents 1088.936170 13: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 111.0638 cents 111.0638 1: 111.0638 cents 111.0638 2: 71.4894 cents 71.4894 3: 66.3830 cents 66.3830 4: 66.3830 cents 66.3830 5: 71.4894 cents 71.4894 6: 111.0638 cents 111.0638 7: 111.0638 cents 111.0638 8: 93.1915 cents 93.1915 9: 111.0638 cents 111.0638 10: 71.4894 cents 71.4894 11: 111.0638 cents 111.0638 12: 93.1915 cents 93.1915 13: 111.0638 cents 111.0638
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 66.38298 cents 1: 3 71.48936 cents 1: 2 93.19149 cents 1: 6 111.06383 cents 2: 1 132.76596 cents 2: 2 137.87234 cents 2: 4 182.55319 cents 2: 4 204.25532 cents 2: 2 222.12766 cents 3: 2 204.25532 cents 3: 2 248.93617 cents 3: 2 275.74468 cents 3: 3 293.61702 cents 3: 4 315.31915 cents 4: 1 275.74468 cents 4: 2 315.31915 cents 4: 2 360.00000 cents 4: 6 386.80851 cents 4: 2 426.38298 cents 5: 2 386.80851 cents 5: 2 426.38298 cents 5: 2 453.19149 cents 5: 1 480.00000 cents 5: 6 497.87234 cents 6: 3 497.87234 cents 6: 2 519.57447 cents 6: 2 564.25532 cents 6: 2 569.36170 cents 6: 2 591.06383 cents 6: 2 608.93617 cents 7: 2 591.06383 cents 7: 2 608.93617 cents 7: 2 630.63830 cents 7: 2 635.74468 cents 7: 2 680.42553 cents 7: 3 702.12766 cents 8: 6 702.12766 cents 8: 1 720.00000 cents 8: 2 746.80851 cents 8: 2 773.61702 cents 8: 2 813.19149 cents 9: 2 773.61702 cents 9: 6 813.19149 cents 9: 2 840.00000 cents 9: 2 884.68085 cents 9: 1 924.25532 cents 10: 4 884.68085 cents 10: 3 906.38298 cents 10: 2 924.25532 cents 10: 2 951.06383 cents 10: 2 995.74468 cents 11: 2 977.87234 cents 11: 4 995.74468 cents 11: 4 1017.44681 cents 11: 2 1062.12766 cents 11: 1 1067.23404 cents 12: 6 1088.93617 cents 12: 2 1106.80851 cents 12: 3 1128.51064 cents 12: 2 1133.61702 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 0.0 : 111.1 182.6 248.9 315.3 386.8 497.9 608.9 702.1 813.2 884.7 995.7 1088.9 1200.0 111.1 : 71.5 137.9 204.3 275.7 386.8 497.9 591.1 702.1 773.6 884.7 977.9 1088.9 1200.0 182.6 : 66.4 132.8 204.3 315.3 426.4 519.6 630.6 702.1 813.2 906.4 1017.4 1128.5 1200.0 248.9 : 66.4 137.9 248.9 360.0 453.2 564.3 635.7 746.8 840.0 951.1 1062.1 1133.6 1200.0 315.3 : 71.5 182.6 293.6 386.8 497.9 569.4 680.4 773.6 884.7 995.7 1067.2 1133.6 1200.0 386.8 : 111.1 222.1 315.3 426.4 497.9 608.9 702.1 813.2 924.3 995.7 1062.1 1128.5 1200.0 497.9 : 111.1 204.3 315.3 386.8 497.9 591.1 702.1 813.2 884.7 951.1 1017.4 1088.9 1200.0 608.9 : 93.2 204.3 275.7 386.8 480.0 591.1 702.1 773.6 840.0 906.4 977.9 1088.9 1200.0 702.1 : 111.1 182.6 293.6 386.8 497.9 608.9 680.4 746.8 813.2 884.7 995.7 1106.8 1200.0 813.2 : 71.5 182.6 275.7 386.8 497.9 569.4 635.7 702.1 773.6 884.7 995.7 1088.9 1200.0 884.7 : 111.1 204.3 315.3 426.4 497.9 564.3 630.6 702.1 813.2 924.3 1017.4 1128.5 1200.0 995.7 : 93.2 204.3 315.3 386.8 453.2 519.6 591.1 702.1 813.2 906.4 1017.4 1088.9 1200.0 1088.9: 111.1 222.1 293.6 360.0 426.4 497.9 608.9 720.0 813.2 924.3 995.7 1106.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 66.3830 .. 111.0638 cents 44.68085 cents 66.38298 cents 2: 132.7660 .. 222.1277 cents 89.36170 cents 21.70213 cents 3: 204.2553 .. 315.3192 cents 111.06383 cents -17.87234 cents 4: 275.7447 .. 426.3830 cents 150.63830 cents -39.57447 cents 5: 386.8085 .. 497.8723 cents 111.06383 cents -39.57447 cents 6: 497.8723 .. 608.9362 cents 111.06383 cents 1/1, 0.0000 cents 7: 591.0638 .. 702.1277 cents 111.06383 cents -17.87234 cents 8: 702.1277 .. 813.1915 cents 111.06383 cents 1/1, 0.0000 cents 9: 773.6170 .. 924.2553 cents 150.63830 cents -39.57447 cents 10: 884.6808 .. 995.7447 cents 111.06383 cents -39.57447 cents 11: 977.8723 .. 1067.2340 cents 89.36170 cents -17.87234 cents 12: 1088.9362 .. 1133.6170 cents 44.68085 cents 21.70213 cents
SHOW DATA
Number of notes : 13 -- Interval properties -- Smallest interval : 66.38298 cents, class 1 Average step (divided formal octave): 92.3077 cents Largest one step interval : 111.06383 cents Average / Smallest step : 1.390533 Largest / Average step : 1.203191 Largest / Smallest step : 1.673077 Median interval of one step : 93.19149 cents, amount: 2 Most common interval of one step : 111.06383 cents, amount: 6 Least squares average step : 89.21986 cents, oct.: 1159.85816 cents Scale is not proper Scale is a mode of a 940-tone equal temperament with octave 1200.000 cents degrees: 87 143 195 247 303 390 477 550 637 693 780 853 940 Least number of segments generator : 473 of 603.830 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 603 of 769.787 cents and inv. generated superset size: 189 = 176 more = 1453.846% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCCBAADABADA Step pattern size order : DBAABDDCDBDCD Scale is not a Constant Structure Scale diversity : 1.399125 Lumma stability : 0.146809 Lumma impropriety factor : 0.176596 Number of different interval sizes : 46 = 3.83333 / class Number of one step interval sizes : 4 Highest interval variety : 6 Mean interval variety : 5.00000 = 5 Median interval variety : 4.5 Lowest interval variety : 4 Smallest interval difference : 5.10638 cents Most common intervals : 497.87234 cents & inv., amount: 9 Most common triad is 0.0 497.872 702.128 cents, amount: 6 Number of recognisable fifths : 10, average 703.9149 cents Number of appreciable fifths : 9, average 702.1277 cents Formal octave complements present : 9 = 69.2308% Limited inverse transpositions : 6 Inversional symmetry on degrees : 3 Inversional symmetry on intervals : 9-10 -- Rational properties --
FIT/MODE
13: 1 0 1 1 1 1 1 1 1 1 1 1 2 N T3 SD: 56.2180 c. M: 90.2455 c. 14: 1 1 0 1 1 1 2 1 1 1 1 1 2 N T3 SD: 44.8805 c. M: 77.5076 c. 15: 1 1 1 1 1 1 1 2 1 1 1 1 2 N D3 S SD: 25.7970 c. M: 48.9362 c. 16: 1 1 1 1 1 1 2 1 2 1 1 1 2 N D3 SD: 25.9220 c. M: 47.8723 c. 19: 2 1 1 1 1 2 2 1 2 1 2 1 2 N S SD: 10.7104 c. M:-22.6428 c. 24: 2 2 1 1 2 2 2 2 2 2 2 2 2 P D3 S SD: 10.6509 c. M:-17.4468 c. 31: 3 2 1 2 2 3 3 2 3 2 3 2 3 N SD: 7.8186 c. M: 16.6781 c. 33: 3 2 2 2 2 3 3 2 3 2 3 3 3 N SD: 9.6266 c. M: 13.9265 c. 34: 3 2 2 2 2 3 3 3 3 2 3 3 3 N S SD: 4.5873 c. M: 8.9362 c. 53: 5 3 3 3 3 5 5 4 5 3 5 4 5 N S SD: 1.5198 c. M:-2.3846 c. 87: 8 5 5 5 5 8 8 7 8 5 8 7 8 N S SD: 1.6343 c. M: 3.2428 c. 118: 11 7 6 7 7 11 11 9 11 7 11 9 11 N SD: 1.4716 c. M: 4.8684 c. 130: 12 8 7 7 8 12 12 10 12 8 12 10 12 N S SD: 0.9839 c. M:-2.0622 c. 164: 15 10 9 9 10 15 15 13 15 10 15 13 15 N S SD: 0.8643 c. M: 1.6191 c. 183: 17 11 10 10 11 17 17 14 17 11 17 14 17 N S SD: 0.5817 c. M:-1.0534 c. 217: 20 13 12 12 13 20 20 17 20 13 20 17 20 N S SD: 0.3080 c. M: 0.6412 c. 270: 25 16 15 15 16 25 25 21 25 16 25 21 25 N S SD: 0.1579 c. M: 0.3310 c. 487: 45 29 27 27 29 45 45 38 45 29 45 38 45 N S SD: 0.1601 c. M: 0.3119 c. 617: 57 37 34 34 37 57 57 48 57 37 57 48 57 N S SD: 0.1786 c. M:-0.2669 c. 670: 62 40 37 37 40 62 62 52 62 40 62 52 62 N S SD: 0.0636 c. M:-0.1334 c. 940: 87 56 52 52 56 87 87 73 87 56 87 73 87 N S SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x x 3 x x x x 4 S SD: 0.0863 cents 3 x x x x x 4 x x x 5 x x 6 S SD: 0.1218 cents 4 x x x x 5 x x 6 x x 7 x 8 S SD: 6.7310 cents 5 x x x 6 x x 7 x 8 x 9 x 10 S SD: 6.8588 cents 6 x x 7 x x 8 x 9 x 10 x 11:12 S SD: 7.2416 cents 7 x x 8 x 9 x 10 x 11:12 x 13:14 S SD: 11.3442 cents 8 x 9 x x 10:11 x 12:13 x 14:15:16 S SD: 8.6468 cents 9 x 10 x 11 x 12:13 x 14:15:16:17:18 S SD: 7.2635 cents 10 x 11 x 12 x 13:14:15:16:17:18:19:20 S SD: 7.0987 cents 11 x 12 x 13:14:15:16:17 x 18:20:21:22 S SD: 10.9111 cents 12:13 x 14 x 15:16:17:18:19:20:21:23:24 SD: 5.4143 cents 13:14 x 15 x 16:17:18:20:21:22:23:24:26 S SD: 8.1001 cents 14:15 x 16:17:18:19:20:21:22:23:25:26:28 SD: 6.5155 cents 15:16 x 17:18:19:20:21:23:24:25:27:28:30 SD: 5.4167 cents 16:17:18 x 19:20:21:23:24:26:27:28:30:32 SD: 5.1638 cents 17:18:19:20 x 21:23:24:26:27:28:30:32:34 SD: 5.5418 cents 18:19:20:21:22:23:24:26:27:29:30:32:34:36 SD: 4.9468 cents 19:20:21:22:23:24:25:27:29:30:32:34:36:38 SD: 4.7615 cents 20:21:22:23:24:25:27:28:30:32:33:36:38:40 SD: 4.5638 cents 24:26:27:28:29:30:32:34:36:38:40:43:45:48 SD: 3.6275 cents 26:28:29:30:31:33:35:37:39:42:43:46:49:52 SD: 3.4603 cents 27:29:30:31:32:34:36:38:41:43:45:48:51:54 SD: 3.2649 cents 28:30:31:32:34:35:37:40:42:45:47:50:53:56 SD: 3.1644 cents 30:32:33:35:36:38:40:43:45:48:50:53:56:60 SD: 2.9985 cents 33:35:37:38:40:41:44:47:50:53:55:59:62:66 SD: 2.7211 cents 36:38:40:42:43:45:48:51:54:58:60:64:68:72 SD: 2.4616 cents 40:43:44:46:48:50:53:57:60:64:67:71:75:80 SD: 2.1265 cents 44:47:49:51:53:55:59:63:66:70:73:78:83:88 SD: 1.9510 cents 45:48:50:52:54:56:60:64:68:72:75:80:84:90 S SD: 1.3325 cents 60:64:67:69:72:75:80:85:90:96:100:107:113:120 SD: 1.1898 cents 64:68:71:74:77:80:85:91:96:102:107:114:120:128 SD: 1.0828 cents 72:77:80:83:86:90:96:102:108:115:120:128:135:144 SD: 0.8990 cents 90:96:100:104:108:113:120:128:135:144:150:160:169:180 SD: 0.5901 cents 135:144:150:156:162:169:180:192:203:216:225:240:253:270 SD: 0.3999 cents 180:192:200:208:216:225:240:256:270:288:300:320:338:360 SD: 0.2108 cents 315:336:350:364:378:394:420:448:473:504:525:560:591:630 SD: 0.2027 cents 360:384:400:416:432:450:480:512:540:576:600:640:675:720 SD: 0.1607 cents 396:422:440:457:475:495:528:563:594:633:660:704:743:792 SD: 0.1555 cents 420:448:467:485:504:525:560:597:630:672:700:747:788:840 SD: 0.1513 cents 484:516:538:559:581:605:645:688:726:774:807:860:908:968 SD: 0.1318 cents 531:566:590:613:637:664:708:755:797:849:885:944:996:1062 SD: 0.1160 cents 576:614:640:665:691:720:768:819:864:921:960:1024:1080:1152 SD: 0.1047 cents