Scala analysis: CD03_04_Egypt
Fais-moi boire la coupe / Ô Gazelle qui a maquillé ses yeux / Le chanteur du cabaret nous a séduits - Darwîsh Muhammad al-Harîrî (kurdan, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 104.004 cents 104.003960 2: 219.195 cents 219.195068 3: 301.364 cents 301.364096 4: 528.209 cents 528.209342 5: 594.412 cents 594.412346 6: 807.776 cents 807.775800 7: 921.634 cents 921.633723 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 278.3663 cents 278.3663 1: 104.0040 cents 104.0040 2: 115.1911 cents 115.1911 3: 82.1690 cents 82.1690 4: 226.8452 cents 226.8452 5: 66.2030 cents 66.2030 6: 213.3635 cents 213.3635 7: 113.8579 cents 113.8579 8: 278.3663 cents 278.3663
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 66.20300 cents 1: 1 82.16903 cents 1: 1 104.00396 cents 1: 1 113.85792 cents 1: 1 115.19111 cents 1: 1 213.36345 cents 1: 1 226.84525 cents 1: 1 278.36628 cents 2: 1 197.36014 cents 2: 1 219.19507 cents 2: 1 279.56646 cents 2: 1 293.04825 cents 2: 1 309.01427 cents 2: 1 327.22138 cents 2: 1 382.37024 cents 2: 1 392.22420 cents 3: 1 301.36410 cents 3: 1 375.21728 cents 3: 1 393.42438 cents 3: 1 424.20538 cents 3: 1 496.22816 cents 3: 1 497.56135 cents 3: 1 506.41170 cents 3: 1 605.58765 cents 4: 1 490.40839 cents 4: 1 528.20934 cents 4: 1 579.73037 cents 4: 1 588.58073 cents 4: 1 611.41927 cents 4: 1 620.26963 cents 4: 1 671.79066 cents 4: 1 709.59161 cents 5: 1 594.41235 cents 5: 1 693.58830 cents 5: 1 702.43865 cents 5: 1 703.77184 cents 5: 1 775.79462 cents 5: 1 806.57562 cents 5: 1 824.78272 cents 5: 1 898.63590 cents 6: 1 807.77580 cents 6: 1 817.62976 cents 6: 1 872.77862 cents 6: 1 890.98573 cents 6: 1 906.95175 cents 6: 1 920.43354 cents 6: 1 980.80493 cents 6: 1 1002.63986 cents 7: 1 921.63372 cents 7: 1 973.15475 cents 7: 1 986.63655 cents 7: 1 1084.80889 cents 7: 1 1086.14208 cents 7: 1 1095.99604 cents 7: 1 1117.83097 cents 7: 1 1133.79700 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 : 104.0 219.2 301.4 528.2 594.4 807.8 921.6 1200.0 104.0 : 115.2 197.4 424.2 490.4 703.8 817.6 1096.0 1200.0 219.2 : 82.2 309.0 375.2 588.6 702.4 980.8 1084.8 1200.0 301.4 : 226.8 293.0 506.4 620.3 898.6 1002.6 1117.8 1200.0 528.2 : 66.2 279.6 393.4 671.8 775.8 891.0 973.2 1200.0 594.4 : 213.4 327.2 605.6 709.6 824.8 907.0 1133.8 1200.0 807.8 : 113.9 392.2 496.2 611.4 693.6 920.4 986.6 1200.0 921.6 : 278.4 382.4 497.6 579.7 806.6 872.8 1086.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 66.2030 .. 278.3663 cents 212.16327 cents 66.20300 cents 2: 197.3601 .. 392.2242 cents 194.86406 cents -81.00614 cents 3: 301.3641 .. 605.5877 cents 304.22356 cents -90.86010 cents 4: 490.4084 .. 709.5916 cents 219.18323 cents -115.17927 cents 5: 594.4123 .. 898.6359 cents 304.22356 cents -115.17927 cents 6: 807.7758 .. 1002.6399 cents 194.86406 cents -90.86010 cents 7: 921.6337 .. 1133.7970 cents 212.16327 cents -81.00614 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 66.20300 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 278.36628 cents Average / Smallest step : 2.265758 Largest / Average step : 1.855775 Largest / Smallest step : 4.204738 Median interval of one step : 114.52452 cents, amount: 0 Least squares average step : 134.45822 cents, oct.: 1075.66574 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : CEBGAFDH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.20018 cents Scale diversity : 1.582340 Lumma stability : 0.110338 Lumma impropriety factor : 0.469096 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 : 1.20018 cents Number of recognisable fifths : 4, average 702.3476 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 0 1 1 1 1 1 1 2 N T3 SD: 56.5250 c. M: 104.0040 c. 9: 1 1 0 2 0 2 1 2 N SD: 32.1557 c. M: 61.0790 c. 10: 1 1 1 2 0 2 1 2 N D3 SD: 38.4421 c. M:-71.7907 c. 11: 1 1 1 2 0 2 1 3 N SD: 31.0897 c. M: 48.9578 c. 12: 1 1 1 2 1 2 1 3 N SD: 14.7556 c. M: 28.2093 c. 16: 1 2 1 3 1 3 1 4 N SD: 14.5043 c. M: 29.0040 c. 20: 2 2 1 4 1 3 2 5 N SD: 16.2031 c. M: 27.7758 c. 21: 2 2 1 4 1 4 2 5 N SD: 12.6250 c. M: 22.9838 c. 22: 2 2 2 4 1 4 2 5 N SD: 12.0772 c. M:-25.9086 c. 27: 2 3 2 5 1 5 3 6 N SD: 10.2038 c. M: 16.6346 c. 32: 3 3 2 6 2 6 3 7 N SD: 9.3386 c. M:-17.2242 c. 34: 3 3 3 6 2 6 3 8 N SD: 6.9673 c. M:-16.2830 c. 36: 3 4 2 7 2 6 4 8 N SD: 7.6861 c. M:-14.1383 c. 37: 3 4 2 7 2 7 3 9 N SD: 8.5694 c. M: 13.5256 c. 39: 3 4 3 7 2 7 4 9 N SD: 6.8578 c. M: 11.6963 c. 43: 4 4 3 8 2 8 4 10 N SD: 4.7831 c. M: 8.3658 c. 48: 4 5 3 9 3 8 5 11 N SD: 4.5402 c. M: 7.7758 c. 55: 5 5 4 10 3 10 5 13 N SD: 3.8874 c. M: 5.3214 c. 61: 5 6 4 12 3 11 6 14 N SD: 3.8090 c. M: 6.2821 c. 70: 6 7 5 13 4 12 7 16 N SD: 4.0180 c. M:-7.2073 c. 71: 6 7 5 13 4 13 7 16 N SD: 3.8224 c. M:-7.9437 c. 73: 6 7 5 14 4 13 7 17 N SD: 3.6604 c. M: 5.4964 c. 77: 7 7 5 15 4 14 7 18 N SD: 3.0344 c. M: 5.2602 c. 89: 8 8 6 17 5 16 8 21 N SD: 3.1738 c. M: 4.7798 c. 91: 8 9 6 17 5 16 9 21 N SD: 2.3934 c. M:-4.9808 c. 95: 8 9 7 18 5 17 9 22 N SD: 2.1892 c. M: 4.4582 c. 103: 9 10 7 19 6 18 10 24 N SD: 2.2379 c. M: 3.9375 c. 116: 10 11 8 22 6 21 11 27 N SD: 1.9580 c. M: 4.7572 c. 125: 11 12 8 24 7 22 12 29 N SD: 1.6526 c. M: 3.7641 c. 131: 11 13 9 25 7 23 13 30 N SD: 2.1730 c. M:-3.5571 c. 137: 12 13 9 26 8 24 13 32 N SD: 1.9333 c. M: 3.5539 c. 138: 12 13 10 26 7 25 13 32 N SD: 1.8623 c. M: 3.1080 c. 143: 12 14 10 27 8 25 14 33 N SD: 1.6385 c. M: 3.3047 c. 147: 13 14 10 28 8 26 14 34 N SD: 1.3818 c. M:-2.4029 c. 159: 14 15 11 30 9 28 15 37 N SD: 0.9519 c. M:-1.8141 c. 198: 17 19 14 37 11 35 19 46 N SD: 1.0590 c. M: 1.7152 c. 220: 19 21 15 42 12 39 21 51 N SD: 0.7163 c. M: 1.3641 c. 263: 23 25 18 50 14 47 25 61 N SD: 0.6815 c. M: 1.2565 c. 275: 24 26 19 52 15 49 26 64 N SD: 0.6764 c. M: 1.0132 c. 311: 27 30 21 59 17 55 30 72 N SD: 0.6185 c. M: 1.3449 c. 323: 28 31 22 61 18 57 31 75 N SD: 0.6326 c. M: 1.5838 c. 345: 30 33 24 65 19 61 33 80 N SD: 0.5839 c. M:-1.2446 c. 371: 32 36 25 70 21 66 35 86 N SD: 0.6516 c. M: 0.9856 c. 379: 33 36 26 72 21 67 36 88 N SD: 0.5374 c. M:-0.8383 c. 418: 36 40 29 79 23 74 40 97 N SD: 0.5761 c. M: 1.0772 c. 422: 37 40 29 80 23 75 40 98 N SD: 0.5189 c. M:-1.2093 c. 438: 38 42 30 83 24 78 41 102 N SD: 0.4623 c. M: 1.0858 c. 450: 39 43 31 85 25 80 43 104 N SD: 0.4339 c. M:-1.0329 c. 471: 41 45 32 89 26 84 45 109 N SD: 0.5568 c. M: 0.8208 c. 474: 41 46 32 90 26 84 45 110 N SD: 0.5375 c. M:-1.0581 c. 475: 41 46 32 90 26 85 45 110 N SD: 0.5342 c. M: 0.7325 c. 486: 42 47 33 92 27 86 46 113 N SD: 0.4224 c. M:-0.6494 c. 509: 44 49 35 96 28 91 48 118 N SD: 0.3761 c. M:-0.8686 c. 557: 48 54 38 105 31 99 53 129 N SD: 0.3749 c. M: 0.5928 c. 602: 52 58 41 114 33 107 57 140 N SD: 0.3759 c. M: 0.7035 c. 624: 54 60 43 118 34 111 59 145 N SD: 0.3561 c. M:-0.6368 c. 634: 55 61 43 120 35 113 60 147 N SD: 0.2601 c. M:-0.4261 c. 729: 63 70 50 138 40 130 69 169 N SD: 0.2449 c. M:-0.4547 c. 793: 69 76 54 150 44 141 75 184 N SD: 0.2386 c. M:-0.4097 c. 820: 71 79 56 155 45 146 78 190 N SD: 0.1937 c. M:-0.3175 c. 832: 72 80 57 157 46 148 79 193 N SD: 0.1490 c. M: 0.3247 c. 979: 85 94 67 185 54 174 93 227 N SD: 0.1299 c. M:-0.2125 c. 1199: 104 115 82 227 66 213 114 278 N SD: 0.1166 c. M:-0.2310 c. 1211: 105 116 83 229 67 215 115 281 N SD: 0.1218 c. M: 0.2025 c. 1474: 128 141 101 279 81 262 140 342 N SD: 0.1460 c. M:-0.2023 c. 1490: 129 143 102 282 82 265 141 346 N SD: 0.1393 c. M: 0.2914 c. 1500: 130 144 103 283 83 267 142 348 N SD: 0.1374 c. M:-0.2359 c. 1561: 135 150 107 295 86 278 148 362 N SD: 0.1303 c. M: 0.2243 c. 1581: 137 152 108 299 87 281 150 367 N SD: 0.1191 c. M: 0.1916 c. 1625: 141 156 111 307 90 289 154 377 N SD: 0.1080 c. M: 0.2093 c. 1708: 148 164 117 323 94 304 162 396 N SD: 0.0974 c. M:-0.1867 c. 1720: 149 165 118 325 95 306 163 399 N SD: 0.0719 c. M:-0.1312 c. 2031: 176 195 139 384 112 361 193 471 N SD: 0.0468 c. M: 0.0949 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x 4 S SD: 52.9104 cents 3 x x x 4 x x 5:6 S SD: 15.9837 cents 4 x x 5 x x 6:7:8 S SD: 35.9179 cents 5 x x 6 x 7:8:9:10 S SD: 19.5849 cents 6 x x 7:8 x x 10:12 S SD: 14.7671 cents 7 x 8 x x 10:11:12:14 S SD: 7.6089 cents 8 x 9:10:11 x 13:14:16 SD: 17.7043 cents 9 x 10:11:12:13:14:15:18 S SD: 13.8440 cents 10 x 11:12 x 14:16:17:20 SD: 9.6119 cents 11:12 x 13:15:16:18:19:22 SD: 12.7421 cents 12:13 x 14:16:17:19:20:24 SD: 10.0073 cents 13:14:15 x x 18:21:22:26 SD: 9.1146 cents 14:15:16:17:19:20:22:24:28 SD: 6.7252 cents 15:16:17:18:20:21:24:26:30 SD: 5.9872 cents 17:18:19:20:23:24:27:29:34 SD: 4.3696 cents 27:29:31:32:37:38:43:46:54 SD: 4.2402 cents 30:32:34:36:41:42:48:51:60 SD: 3.0966 cents 31:33:35:37:42:44:49:53:62 SD: 2.9276 cents 36:38:41:43:49:51:57:61:72 SD: 2.8264 cents 37:39:42:44:50:52:59:63:74 SD: 1.9481 cents 47:50:53:56:64:66:75:80:94 SD: 1.8748 cents 51:54:58:61:69:72:81:87:102 SD: 1.7605 cents 64:68:73:76:87:90:102:109:128 SD: 1.3634 cents 81:86:92:96:110:114:129:138:162 SD: 1.0403 cents 95:101:108:113:129:134:151:162:190 SD: 0.9043 cents 110:117:125:131:149:155:175:187:220 SD: 0.8541 cents 112:119:127:133:152:158:179:191:224 SD: 0.8106 cents 126:134:143:150:171:178:201:215:252 SD: 0.7238 cents 132:140:150:157:179:186:210:225:264 SD: 0.6826 cents 141:150:160:168:191:199:225:240:282 SD: 0.6607 cents 146:155:166:174:198:206:233:249:292 SD: 0.6515 cents 148:157:168:176:201:209:236:252:296 SD: 0.5255 cents 163:173:185:194:221:230:260:278:326 SD: 0.4405 cents 193:205:219:230:262:272:308:329:386 SD: 0.4269 cents 210:223:238:250:285:296:335:358:420 SD: 0.4102 cents 215:228:244:256:292:303:343:366:430 SD: 0.4083 cents 222:236:252:264:301:313:354:378:444 SD: 0.3307 cents 259:275:294:308:351:365:413:441:518 SD: 0.3133 cents 274:291:311:326:372:386:437:467:548 SD: 0.2831 cents 289:307:328:344:392:407:461:492:578 SD: 0.2535 cents 320:340:363:381:434:451:510:545:640 SD: 0.2364 cents 356:378:404:424:483:502:568:606:712 SD: 0.2362 cents 373:396:423:444:506:526:595:635:746 SD: 0.2341 cents 384:408:436:457:521:541:612:654:768 SD: 0.2206 cents 400:425:454:476:543:564:638:681:800 SD: 0.1954 cents 437:464:496:520:593:616:697:744:874 SD: 0.0978 cents