Scala analysis: CD15_19_Morocco
Ils t'ont dérobée aux regards passionnés / Ô compagnon qui m'a mis hors de moi - L'ensemble de 'Umar Fâ'id Al-Ju'aydî (sikah, Morocco)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 223.037 cents 223.036596 2: 393.689 cents 393.689172 3: 503.967 cents 503.967241 4: 720.639 cents 720.639104 5: 887.703 cents 887.703000 6: 1042.010 cents 1042.009569 7: 1112.168 cents 1112.167583 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 87.8324 cents 87.8324 1: 223.0366 cents 223.0366 2: 170.6526 cents 170.6526 3: 110.2781 cents 110.2781 4: 216.6719 cents 216.6719 5: 167.0639 cents 167.0639 6: 154.3066 cents 154.3066 7: 70.1580 cents 70.1580 8: 87.8324 cents 87.8324
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 70.15801 cents 1: 1 87.83242 cents 1: 1 110.27807 cents 1: 1 154.30657 cents 1: 1 167.06390 cents 1: 1 170.65258 cents 1: 1 216.67186 cents 1: 1 223.03660 cents 2: 1 157.99043 cents 2: 1 224.46458 cents 2: 1 280.93064 cents 2: 1 310.86901 cents 2: 1 321.37047 cents 2: 1 326.94993 cents 2: 1 383.73576 cents 2: 1 393.68917 cents 3: 1 312.29700 cents 3: 1 381.02703 cents 3: 1 391.52848 cents 3: 1 481.52159 cents 3: 1 494.01383 cents 3: 1 497.60251 cents 3: 1 503.96724 cents 3: 1 538.04233 cents 4: 1 479.36090 cents 4: 1 535.33360 cents 4: 1 551.67960 cents 4: 1 591.79966 cents 4: 1 608.20034 cents 4: 1 648.32040 cents 4: 1 664.66640 cents 4: 1 720.63910 cents 5: 1 661.95767 cents 5: 1 696.03276 cents 5: 1 702.39749 cents 5: 1 705.98617 cents 5: 1 718.47841 cents 5: 1 808.47152 cents 5: 1 818.97297 cents 5: 1 887.70300 cents 6: 1 806.31083 cents 6: 1 816.26424 cents 6: 1 873.05007 cents 6: 1 878.62953 cents 6: 1 889.13099 cents 6: 1 919.06936 cents 6: 1 975.53542 cents 6: 1 1042.00957 cents 7: 1 976.96340 cents 7: 1 983.32814 cents 7: 1 1029.34742 cents 7: 1 1032.93610 cents 7: 1 1045.69343 cents 7: 1 1089.72193 cents 7: 1 1112.16758 cents 7: 1 1129.84199 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 : 223.0 393.7 504.0 720.6 887.7 1042.0 1112.2 1200.0 223.0 : 170.7 280.9 497.6 664.7 819.0 889.1 977.0 1200.0 393.7 : 110.3 326.9 494.0 648.3 718.5 806.3 1029.3 1200.0 504.0 : 216.7 383.7 538.0 608.2 696.0 919.1 1089.7 1200.0 720.6 : 167.1 321.4 391.5 479.4 702.4 873.1 983.3 1200.0 887.7 : 154.3 224.5 312.3 535.3 706.0 816.3 1032.9 1200.0 1042.0: 70.2 158.0 381.0 551.7 662.0 878.6 1045.7 1200.0 1112.2: 87.8 310.9 481.5 591.8 808.5 975.5 1129.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 70.1580 .. 223.0366 cents 152.87858 cents 70.15801 cents 2: 157.9904 .. 393.6892 cents 235.69874 cents -65.04617 cents 3: 312.2970 .. 538.0423 cents 225.74533 cents -81.39217 cents 4: 479.3609 .. 720.6391 cents 241.27821 cents -58.68143 cents 5: 661.9577 .. 887.7030 cents 225.74533 cents -58.68143 cents 6: 806.3108 .. 1042.0096 cents 235.69874 cents -81.39217 cents 7: 976.9634 .. 1129.8420 cents 152.87858 cents -65.04617 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 70.15801 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 223.03660 cents Average / Smallest step : 2.138031 Largest / Average step : 1.486911 Largest / Smallest step : 3.179061 Median interval of one step : 160.68523 cents, amount: 0 Least squares average step : 164.12068 cents, oct.: 1312.96543 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : HFCGEDAB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.42799 cents Scale diversity : 1.568101 Lumma stability : 0.116930 Lumma impropriety factor : 0.341866 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 : 1.42799 cents Number of recognisable fifths : 4, average 705.7237 cents Number of appreciable fifths : 3, average 701.4721 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 2 0 2 1 1 0 1 N T3 SD: 45.2212 c. M: 73.0366 c. 9: 2 1 1 1 2 1 0 1 N D3 SD: 36.1926 c. M: 53.9724 c. 10: 2 1 1 2 1 2 0 1 N T3 SD: 29.0499 c. M: 47.7030 c. 12: 2 2 1 2 2 1 1 1 N D3 SD: 19.6096 c. M: 42.0096 c. Genus diatonicum, Dominant Bebop, Raga Khamaj, Alhaiya Bilaval, Bihagara, Desh Malhar (Des), Devagandhari, Lankeshree, Malagunji, Nat Bihag, Nat Malhar, Maqam Shawq Awir, Gregorian nr.6, Chinese Eight-Tone, Rast: Greece, Ionian/Mixolydian mixed 14: 3 2 1 2 2 2 1 1 N SD: 24.5592 c. M: 34.9248 c. 15: 3 2 1 3 2 2 1 1 N SD: 11.3311 c. M: 23.9672 c. 22: 4 3 2 4 3 3 1 2 N SD: 12.1266 c. M: 21.2585 c. 27: 5 4 2 5 4 3 2 2 N SD: 9.6998 c. M: 19.7873 c. 28: 5 4 3 5 4 3 2 2 N SD: 8.9851 c. M: 13.4381 c. 31: 6 4 3 6 4 4 2 2 N SD: 7.7026 c. M:-14.8448 c. 38: 7 5 4 7 5 5 2 3 N SD: 6.2753 c. M: 14.7418 c. 39: 7 6 3 7 6 5 2 3 N SD: 7.5858 c. M: 12.9468 c. 40: 7 6 4 7 6 5 2 3 N SD: 7.4173 c. M: 13.0366 c. 42: 8 6 4 7 6 5 3 3 N SD: 7.1267 c. M: 13.4381 c. 43: 8 6 4 8 6 5 3 3 N SD: 4.6187 c. M: 9.4514 c. 53: 10 7 5 10 7 7 3 4 N SD: 4.5774 c. M: 8.7835 c. 55: 10 8 5 10 8 7 3 4 N SD: 3.6117 c. M:-6.8425 c. 66: 12 10 6 12 9 8 4 5 N SD: 4.8124 c. M:-6.6336 c. 68: 13 9 7 12 9 9 4 5 N SD: 4.5965 c. M:-7.7975 c. 69: 13 10 6 12 10 9 4 5 N SD: 3.7157 c. M: 7.5956 c. 70: 13 10 6 13 10 9 4 5 N SD: 3.1516 c. M: 6.8244 c. 77: 14 11 7 14 11 10 4 6 N SD: 3.8603 c. M: 5.6741 c. 81: 15 12 7 15 11 10 5 6 N SD: 3.4597 c. M:-6.3108 c. 83: 15 12 8 15 11 11 5 6 N SD: 3.4290 c. M: 6.1691 c. 85: 16 12 8 15 12 11 5 6 N SD: 2.4815 c. M:-4.2681 c. 97: 18 14 9 17 14 12 6 7 N SD: 2.3407 c. M:-3.2493 c. 107: 20 15 10 19 15 14 6 8 N SD: 1.5510 c. M: 2.8821 c. 112: 21 16 10 20 16 14 7 8 N SD: 2.0514 c. M: 2.7820 c. 122: 23 17 11 22 17 16 7 9 N SD: 1.9157 c. M:-3.1929 c. 135: 25 19 13 24 19 17 8 10 N SD: 1.6419 c. M:-2.6994 c. 138: 26 19 13 25 19 18 8 10 N SD: 1.5743 c. M:-3.0504 c. 146: 27 21 13 27 20 19 8 11 N SD: 1.7919 c. M:-2.6486 c. 150: 28 21 14 27 21 19 9 11 N SD: 1.0214 c. M: 2.0096 c. 205: 38 29 19 37 29 26 12 15 N SD: 0.9697 c. M:-2.0531 c. 222: 41 32 20 40 31 29 13 16 N SD: 1.2346 c. M: 1.7202 c. 226: 42 32 21 41 31 29 13 17 N SD: 1.2029 c. M: 2.4331 c. 231: 43 33 21 42 32 30 13 17 N SD: 1.0394 c. M:-2.1463 c. 235: 44 33 22 42 33 30 14 17 N SD: 0.9749 c. M:-1.6443 c. 243: 45 35 22 44 34 31 14 18 N SD: 0.8110 c. M:-1.3726 c. 296: 55 42 27 54 41 38 17 22 N SD: 0.7616 c. M: 1.3568 c. 311: 58 44 29 56 43 40 18 23 N SD: 0.7575 c. M:-1.4990 c. 326: 61 46 30 59 45 42 19 24 N SD: 0.6876 c. M:-1.5033 c. 328: 61 47 30 59 46 42 19 24 N SD: 0.7992 c. M:-1.4328 c. 333: 62 47 31 60 46 43 20 24 N SD: 0.7796 c. M:-1.3459 c. 338: 63 48 31 61 47 43 20 25 N SD: 0.7587 c. M: 1.7729 c. 341: 63 49 31 62 47 44 20 25 N SD: 0.7148 c. M: 1.3357 c. 350: 65 50 32 63 49 45 20 26 N SD: 0.5787 c. M: 1.3104 c. 365: 68 52 33 66 51 47 21 27 N SD: 0.6317 c. M: 0.9535 c. 366: 68 52 34 66 51 47 21 27 N SD: 0.6077 c. M:-0.9508 c. 381: 71 54 35 69 53 49 22 28 N SD: 0.4112 c. M:-0.6207 c. 531: 99 75 49 96 74 68 31 39 N SD: 0.3689 c. M:-0.6922 c. 533: 99 76 49 96 74 69 31 39 N SD: 0.3255 c. M: 0.6486 c. 576: 107 82 53 104 80 74 34 42 N SD: 0.2136 c. M: 0.3429 c. 738: 137 105 68 133 103 95 43 54 N SD: 0.1943 c. M: 0.3139 c. 914: 170 130 84 165 127 118 53 67 N SD: 0.2122 c. M:-0.4412 c. 926: 172 132 85 167 129 119 54 68 N SD: 0.1651 c. M: 0.2885 c. 957: 178 136 88 173 133 123 56 70 N SD: 0.1501 c. M:-0.3640 c. 1064: 198 151 98 192 148 137 62 78 N SD: 0.1369 c. M:-0.2717 c. 1314: 244 187 121 237 183 169 77 96 N SD: 0.1143 c. M: 0.2055 c. 1329: 247 189 122 240 185 171 78 97 N SD: 0.1132 c. M:-0.2478 c. 1490: 277 212 137 269 207 192 87 109 N SD: 0.1334 c. M:-0.1938 c. 1502: 279 214 138 271 209 193 88 110 N SD: 0.1263 c. M: 0.1987 c. 1572: 292 224 144 284 219 202 92 115 N SD: 0.1079 c. M:-0.2040 c. 1610: 299 229 148 291 224 207 94 118 N SD: 0.1081 c. M: 0.1795 c. 1640: 305 233 151 296 228 211 96 120 N SD: 0.1024 c. M:-0.1791 c. 1679: 312 239 154 303 234 216 98 123 N SD: 0.0985 c. M: 0.2103 c. 1695: 315 241 156 306 236 218 99 124 N SD: 0.0726 c. M:-0.1143 c. 2255: 419 321 207 407 314 290 132 165 N SD: 0.0675 c. M: 0.1070 c. 2393: 445 340 220 432 333 308 140 175 N SD: 0.0670 c. M:-0.1143 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x 4 S SD: 9.3421 cents 3 x x 4 x 5 x x 6 S SD: 2.2671 cents 4 x 5 x 6 x 7 x 8 S SD: 18.9726 cents 5 x 6:7 x 8:9 x 10 S SD: 27.0816 cents 6:7 x 8:9:10:11 x 12 S SD: 8.1153 cents 7:8:9 x 11:12:13 x 14 SD: 15.4117 cents 8:9:10:11:12:13 x 15:16 SD: 10.8872 cents 10:11 x 13:15:17:18:19:20 SD: 12.5734 cents 11:13:14:15:17:18:20:21:22 SD: 11.4961 cents 12:14:15:16:18:20:22:23:24 S SD: 6.4050 cents 15:17:19:20:23:25:27:29:30 SD: 5.7944 cents 20:23:25:27:30:33:37:38:40 SD: 5.5420 cents 21:24:26:28:32:35:38:40:42 SD: 3.9609 cents 23:26:29:31:35:38:42:44:46 SD: 3.6146 cents 27:31:34:36:41:45:49:51:54 SD: 2.9856 cents 35:40:44:47:53:58:64:67:70 SD: 2.6417 cents 39:44:49:52:59:65:71:74:78 SD: 2.1638 cents 50:57:63:67:76:83:91:95:100 SD: 1.8357 cents 51:58:64:68:77:85:93:97:102 SD: 1.2869 cents 74:84:93:99:112:124:135:141:148 SD: 1.1153 cents 79:90:99:106:120:132:144:150:158 SD: 0.9930 cents 101:115:127:135:153:169:184:192:202 SD: 0.8066 cents 103:117:129:138:156:172:188:196:206 SD: 0.7364 cents 109:124:137:146:165:182:199:207:218 SD: 0.5607 cents 130:148:163:174:197:217:237:247:260 SD: 0.4827 cents 145:165:182:194:220:242:265:276:290 SD: 0.4147 cents 196:223:246:262:297:327:358:373:392 SD: 0.4033 cents 211:240:265:282:320:352:385:401:422 SD: 0.3551 cents 219:249:275:293:332:366:400:416:438 SD: 0.2958 cents 240:273:301:321:364:401:438:456:480 SD: 0.2866 cents 246:280:309:329:373:411:449:468:492 SD: 0.2837 cents 254:289:319:340:385:424:464:483:508 SD: 0.2460 cents 263:299:330:352:399:439:480:500:526 SD: 0.2360 cents 314:357:394:420:476:524:573:597:628 SD: 0.2323 cents 349:397:438:467:529:583:637:663:698 SD: 0.2025 cents 364:414:457:487:552:608:665:692:728 SD: 0.1776 cents 415:472:521:555:629:693:758:789:830 SD: 0.1716 cents 482:548:605:645:731:805:880:916:964 SD: 0.1522 cents 494:562:620:661:749:825:902:939:988 SD: 0.0825 cents