Scala analysis: Iraq_Bagpipe_01
Bagpipe 1 (Bagpipe), Iraq
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 191.000 cents 191.000000 2: 387.000 cents 387.000000 3: 531.000 cents 531.000000 4: 685.000 cents 685.000000 5: 893.000 cents 893.000000 6: 1043.000 cents 1043.000000 7: 1199.000 cents 1199.000000 8: 1390.000 cents 1390.000000
SHOW/INTERVAL
0: 191.0000 cents 191.0000 1: 191.0000 cents 191.0000 2: 196.0000 cents 196.0000 3: 144.0000 cents 144.0000 4: 154.0000 cents 154.0000 5: 208.0000 cents 208.0000 6: 150.0000 cents 150.0000 7: 156.0000 cents 156.0000 8: 191.0000 cents 191.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 144.00000 cents 1: 1 150.00000 cents 1: 1 154.00000 cents 1: 1 156.00000 cents 1: 2 191.00000 cents 1: 1 196.00000 cents 1: 1 208.00000 cents 2: 1 298.00000 cents 2: 1 306.00000 cents 2: 1 340.00000 cents 2: 1 347.00000 cents 2: 1 358.00000 cents 2: 1 362.00000 cents 2: 1 382.00000 cents 2: 1 387.00000 cents 3: 1 494.00000 cents 3: 1 497.00000 cents 3: 1 506.00000 cents 3: 1 512.00000 cents 3: 1 514.00000 cents 3: 1 531.00000 cents 3: 1 538.00000 cents 3: 1 578.00000 cents 4: 1 656.00000 cents 4: 1 668.00000 cents 4: 1 685.00000 cents 4: 1 688.00000 cents 4: 1 702.00000 cents 4: 1 705.00000 cents 4: 1 722.00000 cents 4: 1 734.00000 cents 5: 1 812.00000 cents 5: 1 852.00000 cents 5: 1 859.00000 cents 5: 1 876.00000 cents 5: 1 878.00000 cents 5: 1 884.00000 cents 5: 1 893.00000 cents 5: 1 896.00000 cents 6: 1 1003.00000 cents 6: 1 1008.00000 cents 6: 1 1028.00000 cents 6: 1 1032.00000 cents 6: 1 1043.00000 cents 6: 1 1050.00000 cents 6: 1 1084.00000 cents 6: 1 1092.00000 cents 7: 1 1182.00000 cents 7: 1 1194.00000 cents 7: 2 1199.00000 cents 7: 1 1234.00000 cents 7: 1 1236.00000 cents 7: 1 1240.00000 cents 7: 1 1246.00000 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 7.71429 = 54/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 191.0 387.0 531.0 685.0 893.0 1043.0 1199.0 1390.0 191.0 : 196.0 340.0 494.0 702.0 852.0 1008.0 1199.0 1390.0 387.0 : 144.0 298.0 506.0 656.0 812.0 1003.0 1194.0 1390.0 531.0 : 154.0 362.0 512.0 668.0 859.0 1050.0 1246.0 1390.0 685.0 : 208.0 358.0 514.0 705.0 896.0 1092.0 1236.0 1390.0 893.0 : 150.0 306.0 497.0 688.0 884.0 1028.0 1182.0 1390.0 1043.0: 156.0 347.0 538.0 734.0 878.0 1032.0 1240.0 1390.0 1199.0: 191.0 382.0 578.0 722.0 876.0 1084.0 1234.0 1390.0 1390.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 144.0000 .. 208.0000 cents 64.00000 cents 144.00000 cents 2: 298.0000 .. 387.0000 cents 89.00000 cents 90.00000 cents 3: 494.0000 .. 578.0000 cents 84.00000 cents 107.00000 cents 4: 656.0000 .. 734.0000 cents 78.00000 cents 78.00000 cents 5: 812.0000 .. 896.0000 cents 84.00000 cents 78.00000 cents 6: 1003.0000 .. 1092.0000 cents 89.00000 cents 107.00000 cents 7: 1182.0000 .. 1246.0000 cents 64.00000 cents 90.00000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 144.00000 cents, class 1 Average step (divided formal octave): 173.7500 cents Largest one step interval : 208.00000 cents Average / Smallest step : 1.206597 Largest / Average step : 1.197122 Largest / Smallest step : 1.444444 Median interval of one step : 173.50000 cents, amount: 0 Most common interval of one step : 191.00000 cents, amount: 2 Least squares average step : 174.18627 cents, oct.: 1393.49020 cents Scale is strictly proper Scale is a mode of a 1390-tone equal temperament with octave 1390.000 cents degrees: 191 387 531 685 893 1043 1199 1390 Least number of segments generator : 697 of 697.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1217 of 1217.000 cents and inv. generated superset size: 455 = 447 more = 5687.500% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGA Step pattern size order : EFACGBDE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 78.00000 cents Scale diversity : 1.052940 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.602878 Rothenberg efficiency : 0.258929 redundancy: 0.741071 Efficiency x scale size : 2.071429 Number of different interval sizes : 54 = 7.71429 / class Number of one step interval sizes : 7 Highest interval variety : 8 Mean interval variety : 7.71429 = 54/7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 2.00000 cents Most common intervals : 191.00000 cents & inv., amount: 2 Most common triad is 0.0 191.000 1199.000 cents, amount: 1 Number of recognisable fifths : 3, average 698.3333 cents Number of appreciable fifths : 2, average 703.5000 cents Number of recognisable fourths : 5, average 504.6000 cents Number of appreciable fourths : 3, average 499.0000 cents Formal octave complements present : 3 = 37.5000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 89.0000 cents: 1 -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 19.1662 c. M: 39.5000 c. 15: 2 2 2 1 3 1 2 2 P D3 SD: 22.2757 c. M: 36.3333 c. 19: 2 3 2 2 3 2 2 3 SP M ME SD: 24.7537 c. M: 44.6842 c. Mandelbaum Eight out of 19 20: 3 3 2 2 3 2 2 3 P D3 SD: 17.1318 c. M:-30.0000 c. 21: 3 3 2 2 3 3 2 3 SP D3 SD: 16.0796 c. M: 32.5238 c. 22: 3 3 2 3 3 2 3 3 SP D3 I SD: 15.4946 c. M: 32.0909 c. 23: 3 3 3 2 4 2 3 3 SP D3 SD: 14.9370 c. M: 24.3913 c. 24: 3 4 2 3 3 3 3 3 SP T3 SD: 14.6530 c. M: 24.2500 c. 28: 4 4 3 3 4 3 3 4 SP D3 SD: 8.2557 c. M:-15.0714 c. 36: 5 5 4 4 5 4 4 5 SP D3 SD: 5.3062 c. M:-10.0000 c. 53: 7 8 5 6 8 6 6 7 SP SD: 5.4867 c. M:-7.4151 c. 57: 8 8 6 6 9 6 6 8 SP SD: 4.9487 c. M:-9.2807 c. 65: 9 9 7 7 10 7 7 9 SP SD: 3.0038 c. M:-5.1538 c. 73: 10 10 8 8 11 8 8 10 SP SD: 2.8635 c. M: 6.1781 c. 79: 11 11 8 9 12 8 9 11 SP SD: 2.8979 c. M: 4.8987 c. 87: 12 12 9 10 13 9 10 12 SP SD: 2.6213 c. M: 4.4943 c. 89: 12 13 9 10 13 10 10 12 SP SD: 2.7768 c. M:-3.5843 c. 101: 14 14 11 11 15 11 11 14 SP SD: 2.7836 c. M:-5.7327 c. 104: 14 15 11 11 16 11 12 14 SP SD: 2.7690 c. M:-3.8846 c. 108: 15 15 11 12 16 12 12 15 SP SD: 2.5779 c. M: 4.9444 c. 115: 16 16 12 13 17 12 13 16 SP SD: 2.2990 c. M:-3.9565 c. 123: 17 17 13 14 18 13 14 17 SP SD: 2.2421 c. M:-4.3496 c. 132: 18 19 13 15 20 14 15 18 SP SD: 2.1230 c. M: 4.4848 c. 140: 19 20 14 16 21 15 16 19 SP SD: 2.0810 c. M: 4.7857 c. 144: 20 20 15 16 22 15 16 20 SP SD: 1.9934 c. M:-4.7083 c. 146: 20 21 15 16 22 16 16 20 SP SD: 2.1966 c. M:-4.2603 c. 152: 21 21 16 17 23 16 17 21 SP SD: 1.6651 c. M:-3.1842 c. 154: 21 22 16 17 23 17 17 21 SP SD: 1.7751 c. M:-4.0130 c. 159: 22 22 17 17 24 17 18 22 SP SD: 2.0242 c. M: 3.1132 c. 160: 22 23 16 18 24 17 18 22 SP SD: 1.6554 c. M:-3.9375 c. 165: 23 23 17 18 25 18 18 23 SP SD: 1.7706 c. M:-2.7576 c. 168: 23 24 17 19 25 18 19 23 SP SD: 1.1300 c. M:-1.8690 c. 233: 32 33 24 26 35 25 26 32 SP SD: 0.8749 c. M:-1.8498 c. 240: 33 34 25 26 36 26 27 33 SP SD: 1.0252 c. M:-1.8333 c. 241: 33 34 25 27 36 26 27 33 SP SD: 0.7930 c. M:-1.3485 c. 327: 45 46 34 36 49 35 37 45 SP SD: 0.6387 c. M: 1.5627 c. 333: 46 47 34 37 50 36 37 46 SP SD: 0.7760 c. M:-1.1982 c. 335: 46 47 35 37 50 36 38 46 SP SD: 0.7609 c. M: 1.5373 c. 341: 47 48 35 38 51 37 38 47 SP SD: 0.5386 c. M: 1.0880 c. 377: 52 53 39 42 56 41 42 52 SP SD: 0.5498 c. M:-0.7825 c. 416: 57 59 43 46 62 45 47 57 SP SD: 0.5015 c. M: 0.8606 c. 445: 61 63 46 49 67 48 50 61 SP SD: 0.4473 c. M: 0.9326 c. 453: 62 64 47 50 68 49 51 62 SP SD: 0.4925 c. M:-0.7572 c. 473: 65 67 49 52 71 51 53 65 SP SD: 0.4880 c. M:-0.9070 c. 481: 66 68 50 53 72 52 54 66 SP SD: 0.3152 c. M:-0.7256 c. 489: 67 69 51 54 73 53 55 67 SP SD: 0.4075 c. M:-0.5542 c. 560: 77 79 58 62 84 60 63 77 SP SD: 0.2938 c. M:-0.5714 c. 568: 78 80 59 63 85 61 64 78 SP SD: 0.2483 c. M: 0.5000 c. 722: 99 102 75 80 108 78 81 99 SP SD: 0.3350 c. M:-0.4626 c. 733: 101 103 76 81 110 79 82 101 SP SD: 0.3150 c. M:-0.5280 c. 741: 102 104 77 82 111 80 83 102 SP SD: 0.2932 c. M: 0.5762 c. 822: 113 116 85 91 123 89 92 113 SP SD: 0.1716 c. M:-0.3455 c. 901: 124 127 93 100 135 97 101 124 SP SD: 0.2212 c. M: 0.3008 c. 909: 125 128 94 101 136 98 102 125 SP SD: 0.1668 c. M: 0.3839 c. 1013: 139 143 105 112 152 109 114 139 SP SD: 0.2046 c. M: 0.2912 c. 1049: 144 148 109 116 157 113 118 144 SP SD: 0.1751 c. M:-0.3537 c. 1149: 158 162 119 127 172 124 129 158 SP SD: 0.1663 c. M: 0.2829 c. 1157: 159 163 120 128 173 125 130 159 SP SD: 0.1762 c. M: 0.3725 c. 1222: 168 172 127 135 183 132 137 168 SP SD: 0.1554 c. M: 0.2570 c. 1301: 179 183 135 144 195 140 146 179 SP SD: 0.1900 c. M:-0.2452 c. 1303: 179 184 135 144 195 141 146 179 SP SD: 0.1750 c. M:-0.3001 c. 1311: 180 185 136 145 196 142 147 180 SP SD: 0.1746 c. M:-0.2952 c. 1317: 181 186 136 146 197 142 148 181 SP SD: 0.1587 c. M:-0.3424 c. 1325: 182 187 137 147 198 143 149 182 SP SD: 0.1474 c. M: 0.2528 c. 1354: 186 191 140 150 203 146 152 186 SP SD: 0.1411 c. M: 0.2659 c. 1382: 190 195 143 153 207 149 155 190 SP SD: 0.1109 c. M:-0.2287 c. 1390: 191 196 144 154 208 150 156 191 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 x S SD: 1.0000 cents 2 x x x 3 x x 4 x S SD: 8.4922 cents 3 x x 4 x 5 x 6:7 S SD: 21.0221 cents 4 x 5 x 6 x 7:8:9 S SD: 15.4716 cents 5 x 6:7 x 8:9:10:11 S SD: 20.6205 cents 6:7 x 8:9:10:11:12:13 S SD: 14.2075 cents 7:8:9 x 10:12:13:14:16 S SD: 16.0448 cents 8:9:10:11:12:13:15:16:18 SD: 9.5725 cents 12:13:15:16:18:20:22:24:27 SD: 8.3219 cents 15:17:19:20:22:25:27:30:33 SD: 7.9729 cents 16:18:20:22:24:27:29:32:36 SD: 4.6897 cents 24:27:30:33:36:40:44:48:54 S SD: 4.2886 cents 25:28:31:34:37:42:46:50:56 SD: 2.8149 cents 33:37:41:45:49:55:60:66:74 SD: 2.5506 cents 41:46:51:56:61:69:75:82:92 SD: 2.4839 cents 43:48:54:58:64:72:79:86:96 SD: 2.2907 cents 44:49:55:60:65:74:80:88:98 SD: 2.0742 cents 51:57:64:69:76:85:93:102:114 SD: 1.8567 cents 52:58:65:71:77:87:95:104:116 SD: 1.2867 cents 68:76:85:92:101:114:124:136:152 SD: 1.1199 cents 76:85:95:103:113:127:139:152:170 SD: 1.0453 cents 87:97:109:118:129:146:159:174:194 SD: 0.9149 cents 92:103:115:125:137:154:168:184:205 SD: 0.8930 cents 95:106:119:129:141:159:174:190:212 SD: 0.7835 cents 103:115:129:140:153:173:188:206:230 SD: 0.7202 cents 111:124:139:151:165:186:203:222:248 SD: 0.5621 cents 120:134:150:163:178:201:219:240:268 SD: 0.4185 cents 206:230:258:280:306:345:376:412:460 SD: 0.4082 cents 212:237:265:288:315:355:387:424:473 SD: 0.3518 cents 231:258:289:314:343:387:422:462:516 SD: 0.2630 cents 276:308:345:375:410:462:504:552:616 SD: 0.2595 cents 307:343:384:417:456:514:561:614:685 SD: 0.2569 cents 351:392:439:477:521:588:641:702:783 SD: 0.2420 cents 379:423:474:515:563:635:692:758:846 SD: 0.2000 cents 387:432:484:526:575:648:707:774:864 SD: 0.1889 cents 490:547:613:666:728:821:895:979:1094 SD: 0.1823 cents 496:554:620:674:737:831:906:991:1107 SD: 0.1665 cents 507:566:634:689:753:849:926:1013:1132 SD: 0.1426 cents 566:632:708:769:841:948:1034:1131:1263 SD: 0.1414 cents 591:660:739:803:878:990:1080:1181:1319 SD: 0.1277 cents 599:669:749:814:890:1003:1094:1197:1337 SD: 0.1217 cents