Scala analysis: Solomon_Islands_Panpipes_37
37 (Panpipes), Solomon Islands
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 260.000 cents 260.000000 2: 653.000 cents 653.000000 3: 833.000 cents 833.000000 4: 1121.000 cents 1121.000000 5: 1288.000 cents 1288.000000 6: 1446.000 cents 1446.000000 7: 1608.000 cents 1608.000000
SHOW/INTERVAL
0: 162.0000 cents 162.0000 1: 260.0000 cents 260.0000 2: 393.0000 cents 393.0000 3: 180.0000 cents 180.0000 4: 288.0000 cents 288.0000 5: 167.0000 cents 167.0000 6: 158.0000 cents 158.0000 7: 162.0000 cents 162.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 158.00000 cents 1: 1 162.00000 cents 1: 1 167.00000 cents 1: 1 180.00000 cents 1: 1 260.00000 cents 1: 1 288.00000 cents 1: 1 393.00000 cents 2: 1 320.00000 cents 2: 1 325.00000 cents 2: 1 422.00000 cents 2: 1 455.00000 cents 2: 1 468.00000 cents 2: 1 573.00000 cents 2: 1 653.00000 cents 3: 1 487.00000 cents 3: 1 580.00000 cents 3: 1 613.00000 cents 3: 1 635.00000 cents 3: 1 815.00000 cents 3: 1 833.00000 cents 3: 1 861.00000 cents 4: 1 747.00000 cents 4: 1 775.00000 cents 4: 1 793.00000 cents 4: 1 973.00000 cents 4: 1 995.00000 cents 4: 1 1028.00000 cents 4: 1 1121.00000 cents 5: 1 955.00000 cents 5: 1 1035.00000 cents 5: 1 1140.00000 cents 5: 1 1153.00000 cents 5: 1 1186.00000 cents 5: 1 1283.00000 cents 5: 1 1288.00000 cents 6: 1 1215.00000 cents 6: 1 1320.00000 cents 6: 1 1348.00000 cents 6: 1 1428.00000 cents 6: 1 1441.00000 cents 6: 1 1446.00000 cents 6: 1 1450.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 260.0 653.0 833.0 1121.0 1288.0 1446.0 1608.0 260.0 : 393.0 573.0 861.0 1028.0 1186.0 1348.0 1608.0 653.0 : 180.0 468.0 635.0 793.0 955.0 1215.0 1608.0 833.0 : 288.0 455.0 613.0 775.0 1035.0 1428.0 1608.0 1121.0: 167.0 325.0 487.0 747.0 1140.0 1320.0 1608.0 1288.0: 158.0 320.0 580.0 973.0 1153.0 1441.0 1608.0 1446.0: 162.0 422.0 815.0 995.0 1283.0 1450.0 1608.0 1608.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 158.0000 .. 393.0000 cents 235.00000 cents 158.00000 cents 2: 320.0000 .. 653.0000 cents 333.00000 cents -73.00000 cents 3: 487.0000 .. 861.0000 cents 374.00000 cents -166.00000 cents 4: 747.0000 .. 1121.0000 cents 374.00000 cents -114.00000 cents 5: 955.0000 .. 1288.0000 cents 333.00000 cents -166.00000 cents 6: 1215.0000 .. 1450.0000 cents 235.00000 cents -73.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 158.00000 cents, class 1 Average step (divided formal octave): 229.7143 cents Largest one step interval : 393.00000 cents Average / Smallest step : 1.453888 Largest / Average step : 1.710821 Largest / Smallest step : 2.487342 Median interval of one step : 180.00000 cents, amount: 1 Least squares average step : 249.43571 cents, oct.: 1746.05000 cents Scale is not proper Scale is a mode of a 1608-tone equal temperament with octave 1608.000 cents degrees: 260 653 833 1121 1288 1446 1608 Least number of segments generator : 805 of 805.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1603 of 1603.000 cents and inv. generated superset size: 472 = 465 more = 6742.857% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : EGDFCAB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 7.00000 cents Scale diversity : 0.757862 Lumma stability : 0.196517 Lumma impropriety factor : 0.368159 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 4.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 1, average 487.0000 cents Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 1 2 1 1 1 0 1 N T3 SD: 57.4356 c. M:-90.2857 c. 8: 1 2 1 1 1 1 1 P M ME S SD: 63.8335 c. M: 116.0000 c. 10: 2 2 1 2 1 1 1 N D3 SD: 26.0679 c. M:-61.6000 c. 12: 2 3 1 2 2 1 1 N SD: 31.8097 c. M:-52.0000 c. 13: 2 3 2 2 1 2 1 N SD: 30.6306 c. M: 51.0769 c. 17: 3 4 2 3 2 1 2 N SD: 21.4868 c. M:-36.2353 c. 19: 3 5 2 3 2 2 2 N SD: 15.2188 c. M:-24.0526 c. 20: 3 5 2 4 2 2 2 N SD: 13.7094 c. M: 29.0000 c. 27: 4 7 3 5 3 2 3 N SD: 13.9507 c. M:-22.2222 c. 29: 5 7 3 5 3 3 3 N SD: 10.5348 c. M:-17.2414 c. 30: 5 7 4 5 3 3 3 N SD: 10.6258 c. M:-24.6000 c. 31: 5 8 3 6 3 3 3 N SD: 11.8847 c. M:-21.3226 c. 36: 6 9 4 6 4 3 4 N SD: 11.6422 c. M:-17.0000 c. 37: 6 9 4 7 4 3 4 N SD: 8.6516 c. M:-15.7838 c. 39: 6 10 4 7 4 4 4 N SD: 7.9290 c. M: 12.6154 c. 49: 8 12 5 9 5 5 5 N SD: 6.2622 c. M: 12.5918 c. 50: 8 12 6 9 5 5 5 N SD: 4.4495 c. M: 9.8000 c. 62: 10 15 7 11 7 6 6 N SD: 5.1019 c. M:-8.7742 c. 66: 11 16 7 12 7 6 7 N SD: 5.2443 c. M: 8.5455 c. 67: 11 16 8 12 7 6 7 N SD: 5.8432 c. M:-8.0000 c. 69: 11 17 8 12 7 7 7 N SD: 3.6886 c. M: 6.2609 c. 79: 13 19 9 14 8 8 8 N SD: 2.9629 c. M: 5.6709 c. 89: 14 22 10 16 9 9 9 N SD: 3.5504 c. M: 7.0562 c. 99: 16 24 11 18 10 10 10 N SD: 2.8330 c. M: 4.8485 c. 106: 17 26 12 19 11 10 11 N SD: 2.2346 c. M: 4.8679 c. 110: 18 27 12 20 11 11 11 N SD: 2.8837 c. M:-4.8182 c. 116: 19 28 13 21 12 11 12 N SD: 2.3555 c. M: 4.3448 c. 131: 21 32 15 23 14 13 13 N SD: 2.2774 c. M: 3.9924 c. 135: 22 33 15 24 14 13 14 N SD: 2.2758 c. M: 4.7556 c. 141: 23 34 16 25 15 14 14 N SD: 2.1264 c. M: 3.3830 c. 155: 25 38 17 28 16 15 16 N SD: 2.0333 c. M: 3.9871 c. 160: 26 39 18 29 16 16 16 N SD: 2.0084 c. M:-4.6000 c. 162: 26 40 18 29 17 16 16 N SD: 1.8872 c. M:-3.1852 c. 172: 28 42 19 31 18 17 17 N SD: 1.7232 c. M:-3.0698 c. 185: 30 45 21 33 19 18 19 N SD: 1.5280 c. M: 3.1459 c. 197: 32 48 22 35 21 19 20 N SD: 1.3884 c. M: 2.7462 c. 205: 33 50 23 37 21 20 21 N SD: 1.6023 c. M: 2.7220 c. 211: 34 52 23 38 22 21 21 N SD: 1.5275 c. M:-2.3934 c. 222: 36 54 25 40 23 22 22 N SD: 1.3835 c. M:-2.6486 c. 237: 38 58 27 42 25 23 24 N SD: 1.4164 c. M: 2.1772 c. 241: 39 59 27 43 25 24 24 N SD: 0.8804 c. M:-1.8672 c. 261: 42 64 29 47 27 26 26 N SD: 0.9775 c. M:-1.8161 c. 278: 45 68 31 50 29 27 28 N SD: 0.8652 c. M:-1.8705 c. 280: 45 69 31 50 29 28 28 N SD: 1.2363 c. M:-1.6857 c. 286: 46 70 32 51 30 28 29 N SD: 1.1495 c. M: 2.1469 c. 290: 47 71 32 52 30 29 29 N SD: 1.1053 c. M: 1.6000 c. 291: 47 71 33 52 30 29 29 N SD: 0.9850 c. M:-1.7526 c. 297: 48 73 33 53 31 29 30 N SD: 0.8985 c. M:-2.1111 c. 317: 51 78 35 57 33 31 32 N SD: 0.8484 c. M:-1.3596 c. 340: 55 83 38 61 35 34 34 N SD: 0.8050 c. M: 1.6000 c. 347: 56 85 39 62 36 34 35 N SD: 0.5269 c. M:-1.1210 c. 357: 58 87 40 64 37 35 36 N SD: 0.5342 c. M:-1.2437 c. 396: 64 97 44 71 41 39 40 N SD: 0.5064 c. M: 0.7879 c. 446: 72 109 50 80 46 44 45 N SD: 0.4280 c. M: 0.8789 c. 488: 79 119 55 87 51 48 49 N SD: 0.4990 c. M: 0.6721 c. 564: 91 138 63 101 59 55 57 N SD: 0.4727 c. M:-0.6809 c. 594: 96 145 67 106 62 58 60 N SD: 0.4704 c. M:-0.7778 c. 598: 97 146 67 107 62 59 60 N SD: 0.4964 c. M:-0.8294 c. 608: 98 149 68 109 63 60 61 N SD: 0.4347 c. M: 0.8158 c. 618: 100 151 69 111 64 61 62 N SD: 0.3470 c. M:-0.6796 c. 643: 104 157 72 115 67 63 65 N SD: 0.3567 c. M: 0.6516 c. 674: 109 165 75 121 70 66 68 N SD: 0.3522 c. M:-0.6973 c. 687: 111 168 77 123 71 68 69 N SD: 0.3414 c. M: 0.6638 c. 724: 117 177 81 130 75 71 73 N SD: 0.2533 c. M:-0.6022 c. 743: 120 182 83 133 77 73 75 N SD: 0.3102 c. M:-0.5882 c. 753: 122 184 84 135 78 74 76 N SD: 0.3186 c. M:-0.5259 c. 793: 128 194 89 142 82 78 80 N SD: 0.3116 c. M: 0.4489 c. 803: 130 196 90 144 83 79 81 N SD: 0.2664 c. M: 0.3985 c. 805: 130 197 90 144 84 79 81 N SD: 0.2658 c. M:-0.3975 c. 884: 143 216 99 158 92 87 89 N SD: 0.2074 c. M: 0.4932 c. 965: 156 236 108 173 100 95 97 N SD: 0.2377 c. M:-0.4342 c. 990: 160 242 111 177 103 97 100 N SD: 0.2166 c. M: 0.4242 c. 1044: 169 255 117 187 108 103 105 N SD: 0.2554 c. M: 0.3678 c. 1089: 176 266 122 195 113 107 110 N SD: 0.2951 c. M: 0.4242 c. 1100: 178 269 123 197 114 108 111 N SD: 0.2444 c. M:-0.4327 c. 1120: 181 274 125 201 116 110 113 N SD: 0.2174 c. M:-0.2929 c. 1162: 188 284 130 208 121 114 117 N SD: 0.1643 c. M:-0.3373 c. 1212: 196 296 136 217 126 119 122 N SD: 0.1655 c. M:-0.2574 c. 1251: 202 306 140 224 130 123 126 N SD: 0.1524 c. M: 0.3549 c. 1261: 204 308 141 226 131 124 127 N SD: 0.1450 c. M: 0.3085 c. 1558: 252 381 174 279 162 153 157 N SD: 0.1428 c. M:-0.3145 c. 1608: 260 393 180 288 167 158 162 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x 2 x x 3 S SD: 152.1928 cents 2 x 3 x 4 x x 5 S SD: 31.8118 cents 3 x 4:5:6 x 7:8 S SD: 40.7104 cents 4:5:6 x 8 x 9:10 S SD: 32.7625 cents 5:6:7:8:10:11:12:13 S SD: 23.7305 cents 6:7:9:10:11:13:14:15 SD: 16.7069 cents 7:8:10:11:13:15:16:18 SD: 13.5642 cents 10:12:15:16:19:21:23:25 SD: 11.4826 cents 11:13:16:18:21:23:25:28 SD: 6.5154 cents 13:15:19:21:25:27:30:33 SD: 4.1307 cents 24:28:35:39:46:51:55:61 SD: 3.4235 cents 26:30:38:42:50:55:60:66 SD: 2.8762 cents 37:43:54:60:71:78:85:94 SD: 1.7874 cents 50:58:73:81:96:105:115:127 SD: 1.7526 cents 55:64:80:89:105:116:127:139 SD: 1.0922 cents 68:79:99:110:130:143:157:172 SD: 0.6146 cents 105:122:153:170:201:221:242:266 SD: 0.5510 cents 155:180:226:251:296:326:357:392 SD: 0.4696 cents 173:201:252:280:331:364:399:438 SD: 0.4407 cents 190:221:277:307:363:400:438:481 SD: 0.4265 cents 192:223:280:311:367:404:443:486 SD: 0.3825 cents 203:236:296:328:388:427:468:514 SD: 0.3757 cents 209:243:305:338:399:440:482:529 SD: 0.3739 cents 210:244:306:340:401:442:484:532 SD: 0.3544 cents 222:258:324:359:424:467:512:562 SD: 0.3057 cents 259:301:378:419:495:545:597:656 SD: 0.2631 cents 290:337:423:469:554:610:669:734 SD: 0.2436 cents 301:350:439:487:575:633:694:762 SD: 0.2363 cents 314:365:458:508:600:661:724:795 SD: 0.1527 cents 327:380:477:529:625:688:754:828 SD: 0.1451 cents 382:444:557:618:730:804:881:967 SD: 0.1283 cents 469:545:684:759:896:987:1081:1187 SD: 0.1164 cents 537:624:783:869:1026:1130:1238:1359 SD: 0.0935 cents