Scala analysis: Solomon_Islands_Panpipes_36
36 (Panpipes), Solomon Islands
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 143.000 cents 143.000000 2: 378.000 cents 378.000000 3: 637.000 cents 637.000000 4: 833.000 cents 833.000000 5: 1033.000 cents 1033.000000 6: 1178.000 cents 1178.000000 7: 1343.000 cents 1343.000000 8: 1586.000 cents 1586.000000
SHOW/INTERVAL
0: 243.0000 cents 243.0000 1: 143.0000 cents 143.0000 2: 235.0000 cents 235.0000 3: 259.0000 cents 259.0000 4: 196.0000 cents 196.0000 5: 200.0000 cents 200.0000 6: 145.0000 cents 145.0000 7: 165.0000 cents 165.0000 8: 243.0000 cents 243.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 143.00000 cents 1: 1 145.00000 cents 1: 1 165.00000 cents 1: 1 196.00000 cents 1: 1 200.00000 cents 1: 1 235.00000 cents 1: 1 243.00000 cents 1: 1 259.00000 cents 2: 1 310.00000 cents 2: 1 345.00000 cents 2: 1 378.00000 cents 2: 1 386.00000 cents 2: 1 396.00000 cents 2: 1 408.00000 cents 2: 1 455.00000 cents 2: 1 494.00000 cents 3: 1 510.00000 cents 3: 1 541.00000 cents 3: 1 551.00000 cents 3: 1 553.00000 cents 3: 1 621.00000 cents 3: 1 637.00000 cents 3: 1 655.00000 cents 3: 1 690.00000 cents 4: 1 696.00000 cents 4: 1 706.00000 cents 4: 1 753.00000 cents 4: 1 786.00000 cents 4: 1 800.00000 cents 4: 1 833.00000 cents 4: 1 880.00000 cents 4: 1 890.00000 cents 5: 1 896.00000 cents 5: 1 931.00000 cents 5: 1 949.00000 cents 5: 1 965.00000 cents 5: 1 1033.00000 cents 5: 1 1035.00000 cents 5: 1 1045.00000 cents 5: 1 1076.00000 cents 6: 1 1092.00000 cents 6: 1 1131.00000 cents 6: 1 1178.00000 cents 6: 1 1190.00000 cents 6: 1 1200.00000 cents 6: 1 1208.00000 cents 6: 1 1241.00000 cents 6: 1 1276.00000 cents 7: 1 1327.00000 cents 7: 1 1343.00000 cents 7: 1 1351.00000 cents 7: 1 1386.00000 cents 7: 1 1390.00000 cents 7: 1 1421.00000 cents 7: 1 1441.00000 cents 7: 1 1443.00000 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 143.0 378.0 637.0 833.0 1033.0 1178.0 1343.0 1586.0 143.0 : 235.0 494.0 690.0 890.0 1035.0 1200.0 1443.0 1586.0 378.0 : 259.0 455.0 655.0 800.0 965.0 1208.0 1351.0 1586.0 637.0 : 196.0 396.0 541.0 706.0 949.0 1092.0 1327.0 1586.0 833.0 : 200.0 345.0 510.0 753.0 896.0 1131.0 1390.0 1586.0 1033.0: 145.0 310.0 553.0 696.0 931.0 1190.0 1386.0 1586.0 1178.0: 165.0 408.0 551.0 786.0 1045.0 1241.0 1441.0 1586.0 1343.0: 243.0 386.0 621.0 880.0 1076.0 1276.0 1421.0 1586.0 1586.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 143.0000 .. 259.0000 cents 116.00000 cents 143.00000 cents 2: 310.0000 .. 494.0000 cents 184.00000 cents 51.00000 cents 3: 510.0000 .. 690.0000 cents 180.00000 cents 16.00000 cents 4: 696.0000 .. 890.0000 cents 194.00000 cents 6.00000 cents 5: 896.0000 .. 1076.0000 cents 180.00000 cents 6.00000 cents 6: 1092.0000 .. 1276.0000 cents 184.00000 cents 16.00000 cents 7: 1327.0000 .. 1443.0000 cents 116.00000 cents 51.00000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 143.00000 cents, class 1 Average step (divided formal octave): 198.2500 cents Largest one step interval : 259.00000 cents Average / Smallest step : 1.386364 Largest / Average step : 1.306431 Largest / Smallest step : 1.811189 Median interval of one step : 198.00000 cents, amount: 0 Least squares average step : 198.35294 cents, oct.: 1586.82353 cents Scale is strictly proper Scale is a mode of a 1586-tone equal temperament with octave 1586.000 cents degrees: 143 378 637 833 1033 1178 1343 1586 Least number of segments generator : 795 of 795.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1239 of 1239.000 cents and inv. generated superset size: 374 = 366 more = 4675.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGH Step pattern size order : AFHDEBCG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.00000 cents Scale diversity : 0.783325 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.272383 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 3, average 697.3333 cents Number of recognisable fourths : 2, average 502.0000 cents Formal octave complements present : 1 = 12.5000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 36.4996 c. M:-55.2500 c. 12: 1 2 2 1 2 1 1 2 P D3 S SD: 21.8149 c. M: 40.0000 c. 19: 2 3 3 2 2 2 2 3 P SD: 22.9071 c. M:-39.3684 c. 20: 2 3 3 3 2 2 2 3 P SD: 16.9541 c. M:-39.3000 c. 23: 2 3 4 3 3 2 2 4 P SD: 17.8211 c. M: 33.2174 c. 25: 2 4 4 3 3 2 3 4 P SD: 16.1332 c. M: 36.0800 c. 31: 3 4 5 4 4 3 3 5 SP SD: 13.7198 c. M: 23.0645 c. 32: 3 5 5 4 4 3 3 5 P SD: 9.5914 c. M:-18.5000 c. 34: 3 5 6 4 4 3 4 5 P SD: 8.7721 c. M:-16.0588 c. 42: 4 6 7 5 5 4 5 6 SP SD: 8.6541 c. M:-16.4286 c. 45: 4 7 7 6 5 4 5 7 P SD: 8.8466 c. M: 14.9333 c. 46: 4 7 7 6 6 4 5 7 P SD: 6.7464 c. M: 16.3913 c. 47: 4 7 8 6 6 4 5 7 N SD: 7.6428 c. M:-13.0851 c. 52: 5 7 9 6 7 5 5 8 SP SD: 7.7942 c. M: 12.0000 c. 54: 5 8 9 6 7 5 6 8 SP SD: 6.3853 c. M: 10.6296 c. 55: 5 8 9 7 7 5 6 8 P SD: 5.2981 c. M:-12.3091 c. 63: 6 9 10 8 8 6 6 10 SP SD: 5.3912 c. M: 8.7460 c. 65: 6 9 11 8 8 6 7 10 SP SD: 6.0037 c. M: 12.0000 c. 66: 6 10 11 8 8 6 7 10 P SD: 5.6538 c. M:-11.8182 c. 67: 6 10 11 8 9 6 7 10 P SD: 4.6100 c. M:-8.5522 c. 74: 7 11 12 9 9 7 8 11 SP SD: 5.3025 c. M:-7.7838 c. 77: 7 11 13 9 10 7 8 12 SP SD: 4.7679 c. M: 9.1039 c. 78: 7 12 12 10 10 7 8 12 P SD: 4.0859 c. M:-8.3333 c. 80: 7 12 13 10 10 7 9 12 P SD: 3.9720 c. M: 8.3250 c. 85: 8 12 14 11 10 8 9 13 SP SD: 4.5511 c. M: 6.7647 c. 87: 8 13 14 11 11 8 9 13 P SD: 4.8105 c. M:-6.9425 c. 89: 8 13 15 11 11 8 9 14 P SD: 3.5619 c. M: 6.4831 c. 92: 8 14 15 11 12 8 10 14 P SD: 3.4670 c. M: 5.7391 c. 97: 9 14 16 12 12 9 10 15 SP SD: 2.1338 c. M:-4.1546 c. 112: 10 17 18 14 14 10 12 17 P SD: 2.2289 c. M:-4.3393 c. 135: 12 20 22 17 17 12 14 21 P SD: 2.2627 c. M: 3.7111 c. 143: 13 21 23 18 18 13 15 22 SP SD: 2.1157 c. M: 4.8182 c. 152: 14 22 25 19 19 14 16 23 SP SD: 1.8903 c. M:-3.0789 c. 164: 15 24 27 20 21 15 17 25 SP SD: 1.4269 c. M:-2.0610 c. 209: 19 31 34 26 26 19 22 32 SP SD: 1.1596 c. M: 1.7799 c. 244: 22 36 40 30 31 22 26 37 SP SD: 1.1592 c. M:-2.5000 c. 264: 24 39 43 33 33 24 28 40 SP SD: 1.2995 c. M:-2.6970 c. 267: 24 40 43 33 34 24 28 41 SP SD: 1.2701 c. M:-2.1648 c. 269: 24 40 44 33 34 25 28 41 SP SD: 1.1199 c. M: 1.6766 c. 276: 25 41 45 34 35 25 29 42 SP SD: 0.9579 c. M:-1.6522 c. 299: 27 44 49 37 38 27 31 46 SP SD: 0.8112 c. M: 1.3913 c. 341: 31 50 56 42 43 31 36 52 SP SD: 0.8985 c. M: 1.2903 c. 353: 32 52 58 43 45 32 37 54 SP SD: 0.8827 c. M: 1.8102 c. 358: 32 53 59 44 45 33 37 55 SP SD: 0.8443 c. M: 1.4358 c. 366: 33 54 60 45 46 34 38 56 SP SD: 0.8165 c. M: 1.6667 c. 373: 34 55 61 46 47 34 39 57 SP SD: 0.7017 c. M:-1.5684 c. 411: 37 61 67 51 52 37 43 63 SP SD: 0.6038 c. M:-1.1800 c. 419: 38 62 68 52 53 38 44 64 SP SD: 0.6659 c. M: 1.0859 c. 436: 39 65 71 54 55 40 45 67 SP SD: 0.5506 c. M: 1.1330 c. 478: 43 71 78 59 60 44 50 73 SP SD: 0.5072 c. M: 1.1046 c. 491: 44 73 80 61 62 45 51 75 SP SD: 0.6439 c. M:-1.0020 c. 501: 45 74 82 62 63 46 52 77 SP SD: 0.7347 c. M: 1.2854 c. 508: 46 75 83 63 64 46 53 78 SP SD: 0.5233 c. M: 0.9882 c. 533: 48 79 87 66 67 49 55 82 SP SD: 0.4253 c. M: 1.0000 c. 563: 51 83 92 70 71 51 59 86 SP SD: 0.6173 c. M:-0.8579 c. 567: 51 84 93 70 71 52 59 87 SP SD: 0.5163 c. M: 0.8413 c. 587: 53 87 96 72 74 54 61 90 SP SD: 0.5011 c. M: 0.8842 c. 588: 53 87 96 73 74 54 61 90 SP SD: 0.3745 c. M:-0.7109 c. 645: 58 96 105 80 81 59 67 99 SP SD: 0.3923 c. M:-0.6729 c. 680: 61 101 111 84 86 62 71 104 SP SD: 0.3565 c. M: 0.7265 c. 685: 62 101 112 85 86 63 71 105 SP SD: 0.4199 c. M: 0.6015 c. 697: 63 103 114 86 88 64 72 107 SP SD: 0.3458 c. M:-0.6915 c. 777: 70 115 127 96 98 71 81 119 SP SD: 0.1975 c. M: 0.3810 c. 809: 73 120 132 100 102 74 84 124 SP SD: 0.1897 c. M:-0.3659 c. 1245: 112 185 203 154 157 114 129 191 SP SD: 0.2461 c. M:-0.3534 c. 1279: 115 190 209 158 161 117 133 196 SP SD: 0.2343 c. M: 0.3964 c. 1287: 116 191 210 159 162 118 134 197 SP SD: 0.1885 c. M:-0.3232 c. 1310: 118 194 214 162 165 120 136 201 SP SD: 0.2018 c. M: 0.3481 c. 1365: 123 202 223 169 172 125 142 209 SP SD: 0.1924 c. M: 0.3810 c. 1377: 124 204 225 170 174 126 143 211 SP SD: 0.1760 c. M:-0.2702 c. 1422: 128 211 232 176 179 130 148 218 SP SD: 0.1646 c. M: 0.2377 c. 1489: 134 221 243 184 188 136 155 228 SP SD: 0.1390 c. M: 0.2707 c. 1586: 143 235 259 196 200 145 165 243 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 x x S SD: 22.0000 cents 2 x x 3 x x 4 x 5 S SD: 22.8601 cents 3 x 4 x 5 x 6 x 7 S SD: 44.5283 cents 4 x 5:6 x 7:8:9:10 S SD: 18.7088 cents 5 x 6:7:8:9:10:11:12 S SD: 16.5285 cents 6 x 7:9:10:11:12:13:15 SD: 20.1919 cents 7:8:9:10:11:13:14:15:17 SD: 17.2250 cents 8:9:10:12:13:15:16:17:20 SD: 14.2747 cents 9:10:11:13:15:16:18:20:22 SD: 12.5092 cents 10:11:12:14:16:18:20:22:25 SD: 11.8059 cents 11:12:14:16:18:20:22:24:27 S SD: 7.5778 cents 12:13:15:17:19:22:24:26:30 SD: 7.3080 cents 13:14:16:19:21:24:26:28:32 SD: 7.0471 cents 16:17:20:23:26:29:32:35:40 SD: 5.9850 cents 20:22:25:29:32:36:39:43:50 SD: 5.5849 cents 21:23:26:30:34:38:41:46:52 SD: 4.9412 cents 22:24:27:32:36:40:43:48:55 SD: 4.8540 cents 23:25:29:33:37:42:45:50:57 SD: 4.6039 cents 24:26:30:35:39:44:47:52:60 SD: 3.7573 cents 32:35:40:46:52:58:63:70:80 SD: 2.8945 cents 34:37:42:49:55:62:67:74:85 SD: 1.9896 cents 45:49:56:65:73:82:89:98:112 SD: 1.5635 cents 58:63:72:84:94:105:115:126:145 SD: 1.3639 cents 70:76:87:101:113:127:138:152:175 SD: 0.7450 cents 81:88:101:117:131:147:160:176:202 SD: 0.7381 cents 94:102:117:136:152:171:186:204:235 SD: 0.7255 cents 115:125:143:166:186:209:227:250:287 SD: 0.5048 cents 151:164:188:218:244:274:298:328:377 SD: 0.4946 cents 152:165:189:220:246:276:300:330:380 SD: 0.4579 cents 164:178:204:237:265:298:324:356:410 SD: 0.3872 cents 196:213:244:283:317:356:387:426:490 SD: 0.2868 cents 254:276:316:367:411:461:502:552:635 SD: 0.2700 cents 267:290:332:386:432:485:527:580:667 SD: 0.2400 cents 315:342:392:455:510:572:622:684:787 SD: 0.2287 cents 324:352:403:468:524:588:640:704:810 SD: 0.2176 cents 348:378:433:503:563:632:687:756:870 SD: 0.1341 cents 463:503:576:669:749:841:914:1006:1157 SD: 0.1338 cents 558:606:694:806:903:1013:1102:1212:1395 SD: 0.1249 cents 591:642:735:854:956:1073:1167:1284:1477 SD: 0.1241 cents 594:645:739:858:961:1079:1173:1290:1485 SD: 0.1078 cents