Scala analysis: CD18_08_muhayyar_sikah_Tunisia
Istikhbâr, rbâb / Istikhbâr, 'ûd 'Arabî - L'ensemble de Muhammad Ghânim (muhayyar sikah, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 196.844 cents 196.844412 2: 370.007 cents 370.007471 3: 492.629 cents 492.629281 4: 703.508 cents 703.508091 5: 789.682 cents 789.682485 6: 899.803 cents 899.803115 7: 1023.084 cents 1023.084186 8: 1062.624 cents 1062.624019 9: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 137.3760 cents 137.3760 1: 196.8444 cents 196.8444 2: 173.1631 cents 173.1631 3: 122.6218 cents 122.6218 4: 210.8788 cents 210.8788 5: 86.1744 cents 86.1744 6: 110.1206 cents 110.1206 7: 123.2811 cents 123.2811 8: 39.5398 cents 39.5398 9: 137.3760 cents 137.3760
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 39.53983 cents 1: 1 86.17439 cents 1: 1 110.12063 cents 1: 1 122.62181 cents 1: 1 123.28107 cents 1: 1 137.37598 cents 1: 1 173.16306 cents 1: 1 196.84441 cents 1: 1 210.87881 cents 2: 1 162.82090 cents 2: 1 176.91581 cents 2: 1 196.29502 cents 2: 1 233.40170 cents 2: 1 295.78487 cents 2: 1 297.05320 cents 2: 1 333.50062 cents 2: 1 334.22039 cents 2: 1 370.00747 cents 3: 1 272.94153 cents 3: 1 300.19688 cents 3: 1 319.57609 cents 3: 1 373.76023 cents 3: 1 407.17383 cents 3: 1 419.67501 cents 3: 1 492.62928 cents 3: 1 506.66368 cents 3: 1 507.38345 cents 4: 1 359.11593 cents 4: 1 410.31752 cents 4: 1 497.04130 cents 4: 1 529.79564 cents 4: 1 530.45491 cents 4: 1 546.92328 cents 4: 1 592.83807 cents 4: 1 630.00526 cents 4: 1 703.50809 cents 5: 1 496.49191 cents 5: 1 569.99474 cents 5: 1 607.16193 cents 5: 1 653.07672 cents 5: 1 669.54509 cents 5: 1 670.20436 cents 5: 1 702.95870 cents 5: 1 789.68249 cents 5: 1 840.88407 cents 6: 1 692.61655 cents 6: 1 693.33632 cents 6: 1 707.37072 cents 6: 1 780.32499 cents 6: 1 792.82617 cents 6: 1 826.23977 cents 6: 1 880.42390 cents 6: 1 899.80312 cents 6: 1 927.05847 cents 7: 1 829.99253 cents 7: 1 865.77961 cents 7: 1 866.49938 cents 7: 1 902.94680 cents 7: 1 904.21513 cents 7: 1 966.59830 cents 7: 1 1003.70498 cents 7: 1 1023.08419 cents 7: 1 1037.17910 cents 8: 1 989.12119 cents 8: 1 1003.15559 cents 8: 1 1026.83694 cents 8: 1 1062.62402 cents 8: 1 1076.71893 cents 8: 1 1077.37819 cents 8: 1 1089.87937 cents 8: 1 1113.82561 cents 8: 1 1160.46017 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 9.00000 = 9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 196.8 370.0 492.6 703.5 789.7 899.8 1023.1 1062.6 1200.0 196.8 : 173.2 295.8 506.7 592.8 703.0 826.2 865.8 1003.2 1200.0 370.0 : 122.6 333.5 419.7 529.8 653.1 692.6 830.0 1026.8 1200.0 492.6 : 210.9 297.1 407.2 530.5 570.0 707.4 904.2 1077.4 1200.0 703.5 : 86.2 196.3 319.6 359.1 496.5 693.3 866.5 989.1 1200.0 789.7 : 110.1 233.4 272.9 410.3 607.2 780.3 902.9 1113.8 1200.0 899.8 : 123.3 162.8 300.2 497.0 670.2 792.8 1003.7 1089.9 1200.0 1023.1: 39.5 176.9 373.8 546.9 669.5 880.4 966.6 1076.7 1200.0 1062.6: 137.4 334.2 507.4 630.0 840.9 927.1 1037.2 1160.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 39.5398 .. 210.8788 cents 171.33898 cents 39.53983 cents 2: 162.8209 .. 370.0075 cents 207.18657 cents -48.05791 cents 3: 272.9415 .. 507.3835 cents 234.44192 cents -97.06594 cents 4: 359.1159 .. 703.5081 cents 344.39216 cents -148.26752 cents 5: 496.4919 .. 840.8841 cents 344.39216 cents -207.01618 cents 6: 692.6165 .. 927.0585 cents 234.44192 cents -148.26752 cents 7: 829.9925 .. 1037.1791 cents 207.18657 cents -97.06594 cents 8: 989.1212 .. 1160.4602 cents 171.33898 cents -48.05791 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 39.53983 cents, class 1 Average step (divided formal octave): 133.3333 cents Largest one step interval : 210.87881 cents Average / Smallest step : 3.372127 Largest / Average step : 1.581591 Largest / Smallest step : 5.333326 Median interval of one step : 123.28107 cents, amount: 1 Least squares average step : 143.99506 cents, oct.: 1295.95554 cents Scale is not proper Step pattern alph. order: ABCDEFGHI Step pattern size order : HGDIBCEAF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.54939 cents Scale diversity : 1.666167 Lumma stability : 0.065900 Lumma impropriety factor : 0.625194 Rothenberg efficiency : 0.222222 redundancy: 0.777778 Efficiency x scale size : 2.000000 Number of different interval sizes : 72 = 9.00000 / class Number of one step interval sizes : 9 Highest interval variety : 9 Mean interval variety : 9.00000 = 9 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 0.54939 cents Number of recognisable fifths : 5, average 699.9581 cents Formal octave complements present : 1 = 11.1111% -- Rational properties --
FIT/MODE
9: 2 1 1 1 1 1 1 0 1 N T3 SD: 36.4163 c. M:-69.8223 c. 10: 2 1 1 2 1 1 1 0 1 N SD: 36.6529 c. M:-60.1969 c. 11: 2 1 1 2 1 1 1 1 1 N D3 S SD: 36.1465 c. M: 56.2656 c. 12: 2 2 1 2 1 1 1 1 1 N SD: 18.2953 c. M:-37.3760 c. Raga Pahadi 15: 2 3 1 3 1 1 2 0 2 N G SD: 21.0427 c. M: 36.8444 c. 17: 3 2 2 3 1 2 1 1 2 N SD: 15.7888 c. M: 34.8489 c. 19: 3 3 2 3 2 1 2 1 2 N SD: 14.4455 c. M:-31.3701 c. 20: 3 3 2 4 1 2 2 1 2 N SD: 11.6457 c. M:-17.3760 c. 24: 4 3 3 4 2 2 2 1 3 N SD: 11.9053 c. M: 23.0842 c. 26: 4 4 3 4 2 2 3 1 3 N SD: 11.1162 c. M: 22.8800 c. 27: 4 4 3 5 2 2 3 1 3 N SD: 9.9267 c. M: 19.0666 c. 29: 5 4 3 5 2 3 3 1 3 N SD: 7.8217 c. M:-13.2380 c. 32: 5 5 3 6 2 3 3 1 4 N SD: 7.4207 c. M: 12.6240 c. 36: 6 5 4 6 3 3 4 1 4 N SD: 5.9220 c. M:-10.3175 c. 43: 7 6 5 7 3 4 5 1 5 N SD: 6.5948 c. M:-9.6963 c. 44: 7 7 4 8 3 4 5 1 5 N SD: 6.5639 c. M:-13.2795 c. 48: 8 7 5 8 4 4 5 2 5 N SD: 6.3669 c. M:-12.3760 c. 49: 8 7 5 9 3 5 5 1 6 N SD: 5.3583 c. M: 9.5628 c. 53: 9 7 6 9 4 5 5 2 6 N SD: 4.7465 c. M: 7.7433 c. 56: 9 8 6 10 4 5 6 2 6 N SD: 4.4678 c. M:-8.8046 c. 61: 10 9 6 11 4 6 6 2 7 N SD: 2.8078 c. M:-5.1149 c. 68: 11 10 7 12 5 6 7 2 8 N SD: 2.3565 c. M:-4.4352 c. 87: 14 13 9 15 6 8 9 3 10 N SD: 2.6639 c. M:-3.9224 c. 97: 16 14 10 17 7 9 10 3 11 N SD: 2.1267 c. M:-3.7199 c. 120: 20 17 12 21 9 11 12 4 14 N SD: 2.2538 c. M: 3.5081 c. 123: 20 18 12 22 9 11 13 4 14 N SD: 1.9884 c. M: 4.8244 c. 129: 21 19 13 23 9 12 13 4 15 N SD: 1.8516 c. M:-3.4687 c. 140: 23 20 14 25 10 13 14 5 16 N SD: 1.8221 c. M: 4.0579 c. 147: 24 21 15 26 11 13 15 5 17 N SD: 1.9798 c. M: 2.8334 c. 148: 24 22 15 26 10 14 15 5 17 N SD: 1.9415 c. M: 3.1960 c. 149: 24 22 15 26 11 14 15 5 17 N SD: 1.7666 c. M: 3.5558 c. 164: 27 24 16 29 12 15 17 5 19 N SD: 1.5681 c. M:-3.1633 c. 169: 28 24 17 30 12 16 17 6 19 N SD: 1.6548 c. M: 2.6885 c. 172: 28 25 18 30 12 16 18 5 20 N SD: 1.6210 c. M:-2.7196 c. 175: 29 25 18 31 12 16 18 6 20 N SD: 1.4333 c. M:-2.7776 c. 176: 29 25 18 31 13 16 18 6 20 N SD: 1.1202 c. M: 1.8257 c. 208: 34 30 21 37 15 19 21 7 24 N SD: 1.1387 c. M: 2.2447 c. 217: 36 31 22 38 16 20 22 7 25 N SD: 1.1242 c. M:-2.2339 c. 236: 39 34 24 41 17 22 24 8 27 N SD: 1.0905 c. M: 1.8132 c. 237: 39 34 24 42 17 22 24 8 27 N SD: 0.7856 c. M: 1.4900 c. 263: 43 38 27 46 19 24 27 9 30 N SD: 0.6362 c. M: 1.0310 c. 324: 53 47 33 57 23 30 33 11 37 N SD: 0.4712 c. M: 0.8620 c. 360: 59 52 37 63 26 33 37 12 41 N SD: 0.3746 c. M:-0.7093 c. 500: 82 72 51 88 36 46 51 17 57 N SD: 0.4088 c. M: 0.6842 c. 568: 93 82 58 100 41 52 58 19 65 N SD: 0.3182 c. M: 0.5490 c. 672: 110 97 69 118 48 62 69 22 77 N SD: 0.2561 c. M: 0.4158 c. 848: 139 122 87 149 61 78 87 28 97 N SD: 0.2575 c. M: 0.6678 c. 889: 146 128 91 156 64 82 91 29 102 N SD: 0.2425 c. M:-0.5343 c. 928: 152 134 95 163 67 85 95 31 106 N SD: 0.2302 c. M:-0.4037 c. 935: 153 135 96 164 67 86 96 31 107 N SD: 0.2698 c. M: 0.4808 c. 943: 155 136 96 166 68 86 97 31 108 N SD: 0.2687 c. M:-0.5614 c. 950: 156 137 97 167 68 87 98 31 109 N SD: 0.2084 c. M: 0.4347 c. 976: 160 141 100 171 70 90 100 32 112 N SD: 0.2393 c. M:-0.4035 c. 1006: 165 145 103 177 72 92 104 33 115 N SD: 0.2273 c. M: 0.3995 c. 1011: 166 146 103 178 72 93 104 33 116 N SD: 0.2367 c. M: 0.3650 c. 1032: 169 149 106 181 74 95 106 34 118 N SD: 0.2215 c. M:-0.3940 c. 1047: 172 151 107 184 75 96 108 34 120 N SD: 0.2146 c. M:-0.4115 c. 1099: 180 159 112 193 79 101 113 36 126 N SD: 0.1986 c. M: 0.3234 c. 1126: 185 162 115 198 81 103 116 37 129 N SD: 0.1978 c. M: 0.3360 c. 1128: 185 163 115 198 81 104 116 37 129 N SD: 0.2144 c. M: 0.3208 c. 1135: 186 164 116 199 82 104 117 37 130 N SD: 0.2012 c. M: 0.4244 c. 1152: 189 166 118 202 83 106 118 38 132 N SD: 0.1803 c. M: 0.3831 c. 1187: 195 171 121 209 85 109 122 39 136 N SD: 0.1556 c. M: 0.2957 c. 1243: 204 179 127 219 89 114 128 41 142 N SD: 0.2029 c. M:-0.2883 c. 1249: 205 180 128 219 90 115 128 41 143 N SD: 0.1973 c. M:-0.4371 c. 1255: 206 181 128 221 90 115 129 41 144 N SD: 0.1590 c. M: 0.3133 c. 1284: 211 185 131 226 92 118 132 42 147 N SD: 0.1868 c. M:-0.3518 c. 1310: 215 189 134 230 94 120 135 43 150 N SD: 0.1253 c. M: 0.2611 c. 1330: 218 192 136 234 95 122 137 44 152 N SD: 0.1704 c. M: 0.2542 c. 1371: 225 198 140 241 98 126 141 45 157 N SD: 0.1411 c. M:-0.2332 c. 1450: 238 209 148 255 104 133 149 48 166 N SD: 0.1415 c. M: 0.2169 c. 1486: 244 214 152 261 107 136 153 49 170 N SD: 0.1280 c. M: 0.2069 c. 1518: 249 219 155 267 109 139 156 50 174 N SD: 0.1157 c. M: 0.1984 c. 1547: 254 223 158 272 111 142 159 51 177 N SD: 0.0741 c. M:-0.1821 c. 1615: 265 233 165 284 116 148 166 53 185 N SD: 0.0847 c. M:-0.1627 c. 1810: 297 261 185 318 130 166 186 60 207 N SD: 0.0868 c. M:-0.1384 c. 1871: 307 270 191 329 134 172 192 62 214 N SD: 0.0866 c. M: 0.1582 c. 1878: 308 271 192 330 135 172 193 62 215 N SD: 0.0615 c. M: 0.1226 c. 2287: 375 330 234 402 164 210 235 75 262 N SD: 0.0787 c. M:-0.1211 c. 2299: 377 332 235 404 165 211 236 76 263 N SD: 0.0731 c. M:-0.1067 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x x 4 S SD: 0.7765 cents 3 x x 4 x x 5 x x 6 S SD: 5.4555 cents 4 x 5 x 6 x x 7 x 8 S SD: 14.1692 cents 5 x 6:7 x 8 x 9 x 10 S SD: 21.5786 cents 6:7 x 8:9 x 10 x 11:12 S SD: 12.1904 cents 7:8 x 9 x 11:12 x 13:14 SD: 12.6213 cents 8:9:10:11:12:13 x 14:15:16 S SD: 12.4684 cents 9:10:11:12 x 14:15:16:17:18 S SD: 7.7110 cents 10:11:12:13:15:16:17:18 x 20 SD: 10.0069 cents 11:12:14:15 x 17:19:20 x 22 SD: 14.2493 cents 12:13:15:16:18:19:20 x 22:24 SD: 8.0449 cents 15:17:19:20:23:24:25:27:28:30 SD: 7.4213 cents 16:18:20:21:24:25:27:29:30:32 SD: 4.7441 cents 17:19:21:23:26:27:29:31 x 34 SD: 6.8883 cents 18:20:22:24:27:28:30 x 33:36 S SD: 5.2720 cents 22:25:27:29:33:35:37:40:41:44 SD: 4.4679 cents 23:26:28:31:35:36:39:42 x 46 SD: 6.8637 cents 24:27:30:32:36:38:40:43:44:48 SD: 3.4771 cents 26:29:32:35:39:41:44:47:48:52 SD: 3.1120 cents 33:37:41:44:50:52:55:60:61:66 SD: 2.9453 cents 34:38:42:45:51:54:57:61:63:68 SD: 2.2153 cents 42:47:52:56:63:66:71:76:78:84 SD: 1.8147 cents 50:56:62:66:75:79:84:90:92:100 SD: 1.7166 cents 58:65:72:77:87:92:98:105:107:116 SD: 1.5747 cents 60:67:74:80:90:95:101:108:111:120 SD: 1.5199 cents 64:72:79:85:96:101:108:116:118:128 SD: 1.4697 cents 66:74:82:88:99:104:111:119:122:132 SD: 0.9953 cents 76:85:94:101:114:120:128:137:140:152 SD: 0.8474 cents 92:103:114:122:138:145:155:166:170:184 SD: 0.6898 cents 118:132:146:157:177:186:198:213:218:236 SD: 0.6362 cents 125:140:155:166:188:197:210:226:231:250 SD: 0.6118 cents 142:159:176:189:213:224:239:256:262:284 SD: 0.5783 cents 151:169:187:201:227:238:254:273:279:302 SD: 0.5446 cents 164:184:203:218:246:259:276:296:303:328 SD: 0.4011 cents 176:197:218:234:264:278:296:318:325:352 SD: 0.3612 cents 201:225:249:267:302:317:338:363:371:402 SD: 0.3371 cents 249:279:308:331:374:393:419:450:460:498 SD: 0.3085 cents 273:306:338:363:410:431:459:493:504:546 SD: 0.2106 cents 289:324:358:384:434:456:486:522:534:578 SD: 0.1743 cents 349:391:432:464:524:551:587:630:645:698 SD: 0.1690 cents 365:409:452:485:548:576:614:659:674:730 SD: 0.1316 cents 465:521:576:618:698:734:782:840:859:930 SD: 0.1289 cents 474:531:587:630:712:748:797:856:876:948 SD: 0.1286 cents 483:541:598:642:725:762:812:872:892:966 SD: 0.1249 cents 550:616:681:731:826:868:925:993:1016:1100 SD: 0.1072 cents 571:640:707:759:857:901:960:1031:1055:1142 SD: 0.1069 cents