Scala analysis: CD04_03_bayati_Egypt
Depuis le jour où j'ai connu l'amour - Dâwûd Khudr Husnî (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 151.633 cents 151.632633 2: 310.978 cents 310.977654 3: 498.421 cents 498.420750 4: 616.618 cents 616.618097 5: 716.064 cents 716.063650 6: 802.669 cents 802.668745 7: 996.053 cents 996.053265 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 203.9467 cents 203.9467 1: 151.6326 cents 151.6326 2: 159.3450 cents 159.3450 3: 187.4431 cents 187.4431 4: 118.1973 cents 118.1973 5: 99.4456 cents 99.4456 6: 86.6051 cents 86.6051 7: 193.3845 cents 193.3845 8: 203.9467 cents 203.9467
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 86.60509 cents 1: 1 99.44555 cents 1: 1 118.19735 cents 1: 1 151.63263 cents 1: 1 159.34502 cents 1: 1 187.44310 cents 1: 1 193.38452 cents 1: 1 203.94673 cents 2: 1 186.05065 cents 2: 1 217.64290 cents 2: 1 279.98961 cents 2: 1 305.64044 cents 2: 1 310.97765 cents 2: 1 346.78812 cents 2: 1 355.57937 cents 2: 1 397.33126 cents 3: 1 304.24799 cents 3: 1 379.43517 cents 3: 1 405.08600 cents 3: 1 464.98546 cents 3: 1 483.93635 cents 3: 1 498.42075 cents 3: 1 514.92439 cents 3: 1 548.96389 cents 4: 1 491.69109 cents 4: 1 497.63251 cents 4: 1 564.43102 cents 4: 1 583.38190 cents 4: 1 616.61810 cents 4: 1 635.56898 cents 4: 1 702.36748 cents 4: 1 708.30891 cents 5: 1 651.03611 cents 5: 1 685.07561 cents 5: 1 701.57925 cents 5: 1 716.06365 cents 5: 1 735.01454 cents 5: 1 794.91400 cents 5: 1 820.56483 cents 5: 1 895.75201 cents 6: 1 802.66874 cents 6: 1 844.42063 cents 6: 1 853.21188 cents 6: 1 889.02235 cents 6: 1 894.35956 cents 6: 1 920.01039 cents 6: 1 982.35710 cents 6: 1 1013.94935 cents 7: 1 996.05327 cents 7: 1 1006.61548 cents 7: 1 1012.55690 cents 7: 1 1040.65498 cents 7: 1 1048.36737 cents 7: 1 1081.80265 cents 7: 1 1100.55445 cents 7: 1 1113.39491 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 : 151.6 311.0 498.4 616.6 716.1 802.7 996.1 1200.0 151.6 : 159.3 346.8 465.0 564.4 651.0 844.4 1048.4 1200.0 311.0 : 187.4 305.6 405.1 491.7 685.1 889.0 1040.7 1200.0 498.4 : 118.2 217.6 304.2 497.6 701.6 853.2 1012.6 1200.0 616.6 : 99.4 186.1 379.4 583.4 735.0 894.4 1081.8 1200.0 716.1 : 86.6 280.0 483.9 635.6 794.9 982.4 1100.6 1200.0 802.7 : 193.4 397.3 549.0 708.3 895.8 1013.9 1113.4 1200.0 996.1 : 203.9 355.6 514.9 702.4 820.6 920.0 1006.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 86.6051 .. 203.9467 cents 117.34164 cents 86.60509 cents 2: 186.0506 .. 397.3313 cents 211.28061 cents -17.89609 cents 3: 304.2480 .. 548.9639 cents 244.71589 cents -93.08326 cents 4: 491.6911 .. 708.3089 cents 216.61782 cents -57.27280 cents 5: 651.0361 .. 895.7520 cents 244.71589 cents -57.27280 cents 6: 802.6687 .. 1013.9494 cents 211.28061 cents -93.08326 cents 7: 996.0533 .. 1113.3949 cents 117.34164 cents -17.89609 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 86.60509 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 203.94673 cents Average / Smallest step : 1.732000 Largest / Average step : 1.359645 Largest / Smallest step : 2.354905 Median interval of one step : 155.48883 cents, amount: 0 Least squares average step : 145.60797 cents, oct.: 1164.86377 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : DEFCBAGH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.78823 cents Scale diversity : 1.642004 Lumma stability : 0.144342 Lumma impropriety factor : 0.280420 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 : 0.78824 cents Number of recognisable fifths : 4, average 707.0798 cents Number of appreciable fifths : 3, average 704.0852 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 0 2 1 N T3 SD: 34.6046 c. M:-53.9467 c. 10: 1 2 1 1 1 1 1 2 N D3 SD: 29.0005 c. M:-49.0223 c. 12: 2 1 2 1 1 1 2 2 N SD: 19.4271 c. M:-48.3674 c. 15: 2 2 2 2 1 1 2 3 N SD: 17.1752 c. M: 36.0533 c. 16: 2 2 3 1 2 1 2 3 N SD: 19.9981 c. M:-33.9364 c. 17: 2 2 3 2 1 1 3 3 N SD: 16.3827 c. M: 28.6247 c. 19: 2 3 3 2 1 2 3 3 N G SD: 15.5604 c. M: 25.3168 c. 22: 3 3 3 2 2 2 3 4 N SD: 12.4203 c. M: 16.6181 c. 23: 3 3 4 2 2 1 4 4 N SD: 12.7135 c. M:-23.3184 c. 24: 3 3 4 2 2 2 4 4 N SD: 9.2369 c. M: 16.6181 c. 31: 4 4 5 3 3 2 5 5 N SD: 8.8922 c. M:-19.4202 c. 33: 4 5 5 3 3 2 5 6 N SD: 9.7172 c. M:-16.2951 c. 34: 4 5 5 3 3 3 5 6 N SD: 9.3274 c. M: 16.6181 c. 37: 5 5 5 4 3 3 6 6 N SD: 8.6012 c. M:-13.3467 c. 39: 5 5 6 4 3 3 6 7 N SD: 5.7294 c. M: 11.4379 c. 45: 6 6 7 4 4 3 7 8 N SD: 6.5281 c. M: 9.3866 c. 46: 6 6 7 5 3 4 7 8 N SD: 6.3407 c. M: 11.7158 c. 48: 6 6 8 5 4 3 8 8 N SD: 6.1082 c. M: 10.9777 c. 49: 6 7 7 5 4 4 8 8 N SD: 6.1149 c. M: 8.6248 c. 51: 6 7 8 5 4 4 8 9 N SD: 6.6075 c. M: 10.4562 c. 53: 7 7 8 5 5 3 9 9 N SD: 5.9924 c. M: 10.2159 c. 54: 7 7 8 6 4 4 9 9 N SD: 4.8075 c. M: 9.5319 c. 55: 7 7 9 5 5 4 9 9 N SD: 4.6102 c. M:-7.5831 c. 57: 7 8 9 5 5 4 9 10 N SD: 4.6871 c. M:-6.8424 c. 58: 7 8 9 6 5 4 9 10 N SD: 4.4518 c. M:-8.0743 c. 70: 9 9 11 7 6 5 11 12 N SD: 2.3085 c. M:-3.9363 c. 94: 12 12 15 9 8 7 15 16 N SD: 2.3093 c. M: 4.5947 c. 111: 14 15 17 11 9 8 18 19 N SD: 1.7207 c. M: 2.6687 c. 142: 18 19 22 14 12 10 23 24 N SD: 1.0936 c. M:-2.2462 c. 166: 21 22 26 16 14 12 27 28 N SD: 0.9648 c. M: 2.1603 c. 181: 23 24 28 18 15 13 29 31 N SD: 0.8080 c. M: 1.5781 c. 236: 30 31 37 23 20 17 38 40 N SD: 0.7881 c. M: 1.3639 c. 263: 33 35 41 26 22 19 42 45 N SD: 0.8172 c. M: 1.3765 c. 275: 35 36 43 27 23 20 44 47 N SD: 0.9244 c. M: 1.3454 c. 277: 35 37 43 27 23 20 45 47 N SD: 0.8840 c. M: 1.4556 c. 293: 37 39 46 29 24 21 47 50 N SD: 0.8687 c. M:-1.8119 c. 300: 38 40 47 29 25 22 48 51 N SD: 0.8541 c. M:-1.5792 c. 308: 39 41 48 30 26 22 50 52 N SD: 0.7288 c. M:-1.3493 c. 317: 40 42 50 31 26 23 51 54 N SD: 0.5860 c. M:-1.2638 c. 323: 41 43 50 32 27 23 52 55 N SD: 0.6275 c. M:-1.0966 c. 335: 42 45 52 33 28 24 54 57 N SD: 0.5714 c. M: 1.1849 c. 347: 44 46 54 34 29 25 56 59 N SD: 0.4797 c. M: 1.0561 c. 354: 45 47 55 35 29 26 57 60 N SD: 0.6346 c. M:-0.9097 c. 387: 49 51 61 38 32 28 62 66 N SD: 0.5556 c. M: 0.9001 c. 405: 51 54 63 40 34 29 65 69 N SD: 0.5109 c. M:-0.9734 c. 417: 53 55 65 41 35 30 67 71 N SD: 0.5236 c. M:-0.8854 c. 429: 54 57 67 42 36 31 69 73 N SD: 0.5532 c. M: 1.2335 c. 436: 55 58 68 43 36 32 70 74 N SD: 0.4243 c. M:-1.0010 c. 459: 58 61 72 45 38 33 74 78 N SD: 0.3700 c. M:-0.9257 c. 481: 61 64 75 47 40 35 77 82 N SD: 0.5415 c. M:-0.8727 c. 483: 61 64 76 47 40 35 78 82 N SD: 0.4595 c. M:-0.9581 c. 489: 62 65 76 48 41 35 79 83 N SD: 0.4481 c. M:-0.6788 c. 498: 63 66 78 49 41 36 80 85 N SD: 0.3937 c. M: 0.8725 c. 553: 70 73 87 54 46 40 89 94 N SD: 0.3785 c. M:-0.6751 c. 570: 72 76 89 56 47 41 92 97 N SD: 0.3798 c. M:-0.6013 c. 578: 73 77 90 57 48 42 93 98 N SD: 0.3752 c. M:-0.7915 c. 595: 75 79 93 59 49 43 96 101 N SD: 0.2979 c. M:-0.5248 c. 640: 81 85 100 63 53 46 103 109 N SD: 0.2631 c. M: 0.4283 c. 664: 84 88 104 65 55 48 107 113 N SD: 0.2771 c. M: 0.4010 c. 722: 91 96 113 71 60 52 116 123 N SD: 0.2601 c. M: 0.4854 c. 761: 96 101 119 75 63 55 123 129 N SD: 0.2513 c. M:-0.5302 c. 776: 98 103 121 77 64 56 125 132 N SD: 0.2409 c. M: 0.4826 c. 806: 102 107 126 79 67 58 130 137 N SD: 0.1938 c. M:-0.3386 c. 942: 119 125 147 93 78 68 152 160 N SD: 0.1530 c. M: 0.3316 c. 1076: 136 143 168 106 89 78 173 183 N SD: 0.1469 c. M:-0.3052 c. 1084: 137 144 169 107 90 78 175 184 N SD: 0.1513 c. M: 0.2658 c. 1235: 156 164 193 122 102 89 199 210 N SD: 0.1477 c. M:-0.3860 c. 1242: 157 165 194 122 103 90 200 211 N SD: 0.1368 c. M:-0.2298 c. 1401: 177 186 219 138 116 101 226 238 N SD: 0.0670 c. M: 0.0992 c. 2018: 255 268 315 199 167 146 325 343 N SD: 0.0669 c. M: 0.1073 c. 2160: 273 287 337 213 179 156 348 367 N SD: 0.0762 c. M:-0.1335 c. 2343: 296 311 366 231 194 169 378 398 N SD: 0.0743 c. M: 0.1079 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 7.0543 cents 3 x x 4 x x 5 x 6 S SD: 27.2303 cents 4 x 5 x x 6 x 7:8 S SD: 20.3346 cents 5 x 6 x 7 x 8:9:10 S SD: 8.4153 cents 6 x 7:8 x 9:10:11:12 S SD: 17.9967 cents 7:8 x 9:10 x 11:12:14 S SD: 20.2112 cents 8:9:10:11 x 12:13:14:16 S SD: 16.6478 cents 9:10:11:12:13 x 14:16:18 S SD: 9.1467 cents 10:11:12:13:14:15:16:18:20 S SD: 8.0064 cents 11:12:13:15:16:17 x 20:22 SD: 10.9878 cents 12:13:14:16:17:18:19:21:24 SD: 7.1725 cents 14:15:17:19:20:21:22:25:28 SD: 7.1281 cents 19:21:23:25:27:29:30:34:38 SD: 5.5883 cents 21:23:25:28:30:32:33:37:42 SD: 3.8298 cents 30:33:36:40:43:45:48:53:60 SD: 3.2647 cents 31:34:37:41:44:47:49:55:62 SD: 2.8964 cents 35:38:42:47:50:53:56:62:70 SD: 2.5481 cents 41:45:49:55:59:62:65:73:82 SD: 2.5390 cents 42:46:50:56:60:64:67:75:84 SD: 2.4560 cents 45:49:54:60:64:68:72:80:90 SD: 1.8094 cents 51:56:61:68:73:77:81:91:102 SD: 1.6629 cents 54:59:65:72:77:82:86:96:108 SD: 1.6211 cents 63:69:75:84:90:95:100:112:126 SD: 1.5364 cents 66:72:79:88:94:100:105:117:132 SD: 0.9395 cents 86:94:103:115:123:130:137:153:172 SD: 0.8955 cents 96:105:115:128:137:145:153:171:192 SD: 0.8859 cents 98:107:117:131:140:148:156:174:196 SD: 0.8826 cents 107:117:128:143:153:162:170:190:214 SD: 0.7777 cents 117:128:140:156:167:177:186:208:234 SD: 0.5068 cents 183:200:219:244:261:277:291:325:366 SD: 0.4732 cents 197:215:236:263:281:298:313:350:394 SD: 0.4347 cents 198:216:237:264:283:299:315:352:396 SD: 0.4291 cents 207:226:248:276:296:313:329:368:414 SD: 0.4068 cents 219:239:262:292:313:331:348:389:438 SD: 0.3359 cents 264:288:316:352:377:399:420:469:528 SD: 0.2823 cents 273:298:327:364:390:413:434:485:546 SD: 0.2754 cents 285:311:341:380:407:431:453:507:570 SD: 0.1839 cents 351:383:420:468:501:531:558:624:702 SD: 0.1446 cents 437:477:523:583:624:661:695:777:874 SD: 0.1210 cents