Scala analysis: CD04_19_saba_Egypt
Je n'aime que toi - Dâwûd Khudr Husnî (saba, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 154.653 cents 154.653168 2: 309.099 cents 309.099220 3: 403.881 cents 403.880597 4: 690.987 cents 690.987011 5: 764.103 cents 764.103141 6: 856.069 cents 856.068953 7: 999.081 cents 999.080733 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 200.9193 cents 200.9193 1: 154.6532 cents 154.6532 2: 154.4461 cents 154.4461 3: 94.7814 cents 94.7814 4: 287.1064 cents 287.1064 5: 73.1161 cents 73.1161 6: 91.9658 cents 91.9658 7: 143.0118 cents 143.0118 8: 200.9193 cents 200.9193
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 73.11613 cents 1: 1 91.96581 cents 1: 1 94.78138 cents 1: 1 143.01178 cents 1: 1 154.44605 cents 1: 1 154.65317 cents 1: 1 200.91927 cents 1: 1 287.10641 cents 2: 1 165.08194 cents 2: 1 234.97759 cents 2: 1 249.22743 cents 2: 1 309.09922 cents 2: 1 343.93105 cents 2: 1 355.57243 cents 2: 1 360.22254 cents 2: 1 381.88779 cents 3: 1 308.09372 cents 3: 1 403.88060 cents 3: 1 435.89686 cents 3: 1 452.18836 cents 3: 1 455.00392 cents 3: 1 498.58421 cents 3: 1 510.01849 cents 3: 1 536.33384 cents 4: 1 509.01299 cents 4: 1 546.96973 cents 4: 1 590.55003 cents 4: 1 595.20014 cents 4: 1 604.79986 cents 4: 1 609.44997 cents 4: 1 653.03027 cents 4: 1 690.98701 cents 5: 1 663.66616 cents 5: 1 689.98151 cents 5: 1 701.41579 cents 5: 1 744.99608 cents 5: 1 747.81164 cents 5: 1 764.10314 cents 5: 1 796.11940 cents 5: 1 891.90628 cents 6: 1 818.11221 cents 6: 1 839.77746 cents 6: 1 844.42757 cents 6: 1 856.06895 cents 6: 1 890.90078 cents 6: 1 950.77257 cents 6: 1 965.02241 cents 6: 1 1034.91806 cents 7: 1 912.89359 cents 7: 1 999.08073 cents 7: 1 1045.34683 cents 7: 1 1045.55395 cents 7: 1 1056.98822 cents 7: 1 1105.21862 cents 7: 1 1108.03419 cents 7: 1 1126.88387 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 : 154.7 309.1 403.9 691.0 764.1 856.1 999.1 1200.0 154.7 : 154.4 249.2 536.3 609.4 701.4 844.4 1045.3 1200.0 309.1 : 94.8 381.9 455.0 547.0 690.0 890.9 1045.6 1200.0 403.9 : 287.1 360.2 452.2 595.2 796.1 950.8 1105.2 1200.0 691.0 : 73.1 165.1 308.1 509.0 663.7 818.1 912.9 1200.0 764.1 : 92.0 235.0 435.9 590.6 745.0 839.8 1126.9 1200.0 856.1 : 143.0 343.9 498.6 653.0 747.8 1034.9 1108.0 1200.0 999.1 : 200.9 355.6 510.0 604.8 891.9 965.0 1057.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 73.1161 .. 287.1064 cents 213.99028 cents 73.11613 cents 2: 165.0819 .. 381.8878 cents 216.80585 cents -122.02447 cents 3: 308.0937 .. 536.3338 cents 228.24012 cents -73.79407 cents 4: 509.0130 .. 690.9870 cents 181.97402 cents -27.32085 cents 5: 663.6662 .. 891.9063 cents 228.24012 cents -27.32085 cents 6: 818.1122 .. 1034.9181 cents 216.80585 cents -73.79407 cents 7: 912.8936 .. 1126.8839 cents 213.99028 cents -122.02447 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 73.11613 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 287.10641 cents Average / Smallest step : 2.051531 Largest / Average step : 1.914043 Largest / Smallest step : 3.926718 Median interval of one step : 148.72892 cents, amount: 0 Least squares average step : 148.52420 cents, oct.: 1188.19357 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : FECHABDG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.00550 cents Scale diversity : 1.695242 Lumma stability : 0.121860 Lumma impropriety factor : 0.371899 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 : 0.20712 cents Number of recognisable fifths : 3, average 694.1281 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 2 0 1 1 1 N T3 SD: 36.1171 c. M:-59.0130 c. 11: 1 2 1 2 1 1 1 2 P D3 SD: 25.8965 c. M: 45.5623 c. 12: 2 1 1 3 1 1 1 2 N T3 SD: 26.1122 c. M:-45.3468 c. 13: 2 1 1 3 1 1 2 2 N D3 SD: 28.9548 c. M: 44.8332 c. 14: 2 2 1 3 1 1 2 2 N T3 SD: 19.3099 c. M:-33.7579 c. 16: 2 2 1 4 1 1 2 3 N SD: 19.1644 c. M: 31.0690 c. 17: 2 2 2 4 1 1 2 3 N SD: 15.2344 c. M: 26.7463 c. 22: 3 3 1 6 1 2 2 4 N SD: 15.0050 c. M: 22.0624 c. 23: 3 3 2 5 2 1 3 4 N SD: 12.3470 c. M: 21.2863 c. 24: 3 3 2 6 1 2 3 4 N SD: 7.3935 c. M: 14.1031 c. 36: 5 4 3 9 2 3 4 6 N SD: 7.4426 c. M:-12.0135 c. 38: 5 5 3 9 2 3 5 6 N SD: 6.0710 c. M:-11.4456 c. 42: 5 6 3 10 3 3 5 7 N SD: 5.7507 c. M: 11.7960 c. 44: 6 5 4 10 3 3 6 7 N SD: 7.8086 c. M: 10.6144 c. 45: 6 6 3 11 3 3 6 7 N SD: 7.6141 c. M:-14.2526 c. 47: 6 6 4 11 3 4 5 8 N SD: 4.9060 c. M:-12.0162 c. 56: 7 7 5 13 4 4 7 9 N SD: 5.7305 c. M: 9.0992 c. 59: 8 7 5 14 4 4 7 10 N SD: 4.6940 c. M:-8.7782 c. 63: 8 8 5 15 4 5 7 11 N SD: 4.2846 c. M: 8.6045 c. 66: 9 8 5 16 4 5 8 11 N SD: 3.5204 c. M:-8.9832 c. 69: 9 9 5 17 4 5 8 12 N SD: 4.0736 c. M: 7.7764 c. 70: 9 9 6 16 5 5 8 12 N SD: 4.5138 c. M:-7.5480 c. 71: 9 9 6 17 4 6 8 12 N SD: 3.3193 c. M:-5.9029 c. 77: 10 10 6 18 5 6 9 13 N SD: 2.2869 c. M: 5.2727 c. 88: 11 12 7 21 5 7 10 15 N SD: 3.7390 c. M:-5.2103 c. 90: 12 11 7 22 5 7 11 15 N SD: 3.1669 c. M:-5.3468 c. 94: 12 12 8 22 6 7 11 16 N SD: 2.4679 c. M:-4.6300 c. 101: 13 13 8 24 6 8 12 17 N SD: 1.5356 c. M: 3.7071 c. 132: 17 17 10 32 8 10 16 22 N SD: 1.5191 c. M: 3.8806 c. 137: 18 17 11 33 8 11 16 23 N SD: 1.8472 c. M:-3.0111 c. 143: 18 19 11 34 9 11 17 24 N SD: 1.7616 c. M: 3.6042 c. 149: 19 19 12 36 9 11 18 25 N SD: 1.6934 c. M: 3.0590 c. 154: 20 20 12 37 9 12 18 26 N SD: 1.5962 c. M:-2.5891 c. 160: 21 20 13 38 10 12 19 27 N SD: 1.4720 c. M:-2.8468 c. 163: 21 21 13 39 10 12 20 27 N SD: 1.2970 c. M:-2.1463 c. 179: 23 23 14 43 11 14 21 30 N SD: 0.9914 c. M:-2.0316 c. 193: 25 25 15 46 12 15 23 32 N SD: 1.2585 c. M:-1.9621 c. 202: 26 26 16 48 13 15 24 34 N SD: 1.1242 c. M:-2.2335 c. 203: 26 26 16 49 12 16 24 34 N SD: 1.1955 c. M: 1.9102 c. 209: 27 27 16 50 13 16 25 35 N SD: 1.0847 c. M: 1.9918 c. 210: 27 27 17 50 13 16 25 35 N SD: 1.0347 c. M:-1.8337 c. 217: 28 28 17 52 13 17 26 36 N SD: 0.8628 c. M:-1.8409 c. 226: 29 29 18 54 14 17 27 38 N SD: 0.7738 c. M: 1.2017 c. 240: 31 31 19 57 15 18 29 40 N SD: 0.8625 c. M:-1.1194 c. 264: 34 34 21 63 16 20 32 44 N SD: 0.6932 c. M: 1.5235 c. 311: 40 40 25 74 19 24 37 52 N SD: 0.5397 c. M:-1.2641 c. 327: 42 42 26 78 20 25 39 55 N SD: 0.7680 c. M: 1.0788 c. 335: 43 43 27 80 20 26 40 56 N SD: 0.6851 c. M: 1.1181 c. 342: 44 44 27 82 21 26 41 57 N SD: 0.4847 c. M:-0.9193 c. 419: 54 54 33 100 26 32 50 70 N SD: 0.3928 c. M: 0.7722 c. 443: 57 57 35 106 27 34 53 74 N SD: 0.2637 c. M:-0.4678 c. 722: 93 93 57 173 44 55 86 121 N SD: 0.2323 c. M:-0.4398 c. 754: 97 97 60 180 46 58 90 126 N SD: 0.2764 c. M:-0.3888 c. 799: 103 103 63 191 49 61 95 134 N SD: 0.2091 c. M:-0.3524 c. 823: 106 106 65 197 50 63 98 138 N SD: 0.1384 c. M: 0.2958 c. 1002: 129 129 79 240 61 77 119 168 N SD: 0.1768 c. M: 0.2878 c. 1016: 131 131 80 243 62 78 121 170 N SD: 0.1611 c. M:-0.3496 c. 1040: 134 134 82 249 63 80 124 174 N SD: 0.1339 c. M: 0.2570 c. 1165: 150 150 92 279 71 89 139 195 N SD: 0.1221 c. M:-0.1887 c. 1242: 160 160 98 297 76 95 148 208 N SD: 0.0889 c. M: 0.1658 c. 1266: 163 163 100 303 77 97 151 212 N SD: 0.0977 c. M: 0.1508 c. 1685: 217 217 133 403 103 129 201 282 N SD: 0.0915 c. M: 0.1858 c. 1839: 237 237 145 440 112 141 219 308 N SD: 0.0779 c. M:-0.1993 c. 2065: 266 266 163 494 126 158 246 346 N SD: 0.0738 c. M: 0.1461 c. 2101: 271 270 166 503 128 161 250 352 N SD: 0.1012 c. M:-0.1303 c. 2103: 271 271 166 503 128 161 251 352 N SD: 0.0954 c. M:-0.1732 c. 2181: 281 281 172 522 133 167 260 365 N SD: 0.0799 c. M:-0.1334 c. 2282: 294 294 180 546 139 175 272 382 N SD: 0.0472 c. M:-0.1032 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: 5.4840 cents 3 x x 4 x x 5 x 6 S SD: 32.7740 cents 4 x x 5:6 x x 7:8 S SD: 9.1660 cents 5 x 6 x 7 x 8:9:10 S SD: 23.6209 cents 6 x 7:8:9 x 10:11:12 S SD: 19.7899 cents 7:8 x 9:10:11 x 12:14 S SD: 21.6789 cents 8:9 x 10:12 x 13:14:16 S SD: 10.5567 cents 9:10:11 x 13:14:15:16:18 SD: 11.0690 cents 10:11:12:13:15 x 16:18:20 SD: 10.0436 cents 11:12:13:14:16:17:18:20:22 S SD: 7.7041 cents 13:14 x 16:19:20:21:23:26 SD: 10.0542 cents 14:15:17:18:21:22:23:25:28 SD: 7.3274 cents 19:21:23:24:28:30:31:34:38 SD: 5.6685 cents 20:22:24:25:30:31:33:36:40 SD: 4.0874 cents 22:24:26:28:33:34:36:39:44 SD: 3.7542 cents 30:33:36:38:45:47:49:53:60 SD: 3.3258 cents 31:34:37:39:46:48:51:55:62 SD: 2.0322 cents 41:45:49:52:61:64:67:73:82 SD: 1.7272 cents 45:49:54:57:67:70:74:80:90 SD: 1.5935 cents 61:67:73:77:91:95:100:109:122 SD: 1.3030 cents 72:79:86:91:107:112:118:128:144 SD: 1.0968 cents 77:84:92:97:115:120:126:137:154 SD: 1.0958 cents 83:91:99:105:124:129:136:148:166 SD: 1.0440 cents 87:95:104:110:130:135:143:155:174 SD: 0.9657 cents 96:105:115:121:143:149:157:171:192 SD: 0.9161 cents 106:116:127:134:158:165:174:189:212 SD: 0.7123 cents 128:140:153:162:191:199:210:228:256 SD: 0.5694 cents 149:163:178:188:222:232:244:265:298 SD: 0.5667 cents 159:174:190:201:237:247:261:283:318 SD: 0.4559 cents 194:212:232:245:289:302:318:345:388 SD: 0.4497 cents 205:224:245:259:306:319:336:365:410 SD: 0.4216 cents 214:234:256:270:319:333:351:381:428 SD: 0.3043 cents 236:258:282:298:352:367:387:420:472 SD: 0.2366 cents 342:374:409:432:510:532:561:609:684 SD: 0.2028 cents 373:408:446:471:556:580:612:664:746 SD: 0.1907 cents 430:470:514:543:641:669:705:766:860 SD: 0.1778 cents 460:503:550:581:686:715:754:819:920 SD: 0.1677 cents 461:504:551:582:687:717:756:821:922 SD: 0.1137 cents 589:644:704:744:878:916:966:1049:1178 SD: 0.1133 cents