Scala analysis: CD09_04_Egypt
Ô chamelier - La Confrérie Laythiyya (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 145.985 cents 145.985288 2: 314.641 cents 314.641373 3: 348.715 cents 348.715447 4: 503.883 cents 503.882583 5: 621.572 cents 621.571634 6: 974.342 cents 974.342269 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 225.6577 cents 225.6577 1: 145.9853 cents 145.9853 2: 168.6561 cents 168.6561 3: 34.0741 cents 34.0741 4: 155.1671 cents 155.1671 5: 117.6891 cents 117.6891 6: 352.7706 cents 352.7706 7: 225.6577 cents 225.6577
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 34.07407 cents 1: 1 117.68905 cents 1: 1 145.98529 cents 1: 1 155.16714 cents 1: 1 168.65609 cents 1: 1 225.65773 cents 1: 1 352.77064 cents 2: 1 189.24121 cents 2: 1 202.73016 cents 2: 1 272.85619 cents 2: 1 314.64137 cents 2: 1 371.64302 cents 2: 1 470.45969 cents 2: 1 578.42837 cents 3: 1 306.93026 cents 3: 1 348.71545 cents 3: 1 357.89729 cents 3: 1 540.29910 cents 3: 1 625.62682 cents 3: 1 696.11742 cents 3: 1 724.41365 cents 4: 1 475.58635 cents 4: 1 503.88258 cents 4: 1 574.37318 cents 4: 1 659.70090 cents 4: 1 842.10271 cents 4: 1 851.28455 cents 4: 1 893.06974 cents 5: 1 621.57163 cents 5: 1 729.54031 cents 5: 1 828.35698 cents 5: 1 885.35863 cents 5: 1 927.14381 cents 5: 1 997.26984 cents 5: 1 1010.75879 cents 6: 1 847.22936 cents 6: 1 974.34227 cents 6: 1 1031.34392 cents 6: 1 1044.83286 cents 6: 1 1054.01471 cents 6: 1 1082.31095 cents 6: 1 1165.92593 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 146.0 314.6 348.7 503.9 621.6 974.3 1200.0 146.0 : 168.7 202.7 357.9 475.6 828.4 1054.0 1200.0 314.6 : 34.1 189.2 306.9 659.7 885.4 1031.3 1200.0 348.7 : 155.2 272.9 625.6 851.3 997.3 1165.9 1200.0 503.9 : 117.7 470.5 696.1 842.1 1010.8 1044.8 1200.0 621.6 : 352.8 578.4 724.4 893.1 927.1 1082.3 1200.0 974.3 : 225.7 371.6 540.3 574.4 729.5 847.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 34.0741 .. 352.7706 cents 318.69656 cents 34.07407 cents 2: 189.2412 .. 578.4284 cents 389.18716 cents -163.52943 cents 3: 306.9303 .. 724.4137 cents 417.48339 cents -271.49811 cents 4: 475.5863 .. 893.0697 cents 417.48339 cents -248.82731 cents 5: 621.5716 .. 1010.7588 cents 389.18716 cents -271.49811 cents 6: 847.2294 .. 1165.9259 cents 318.69656 cents -163.52943 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 34.07407 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 352.77064 cents Average / Smallest step : 5.031056 Largest / Average step : 2.057829 Largest / Smallest step : 10.353051 Median interval of one step : 155.16714 cents, amount: 1 Least squares average step : 151.36326 cents, oct.: 1059.54282 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : CEADBGF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.05519 cents Scale diversity : 1.646774 Lumma stability : 0.056790 Lumma impropriety factor : 0.684598 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 4.05519 cents Number of recognisable fifths : 1, average 696.1174 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 0 1 1 2 1 N T3 SD: 35.1347 c. M:-64.1427 c. 10: 1 2 0 1 1 3 2 N SD: 24.2057 c. M:-45.3586 c. 11: 1 2 0 2 1 3 2 N G SD: 26.3274 c. M:-41.5720 c. 14: 2 2 0 2 1 4 3 N SD: 20.8487 c. M: 31.4851 c. 15: 2 2 0 2 2 4 3 N SD: 17.5881 c. M: 28.7154 c. 16: 2 2 1 2 1 5 3 N SD: 16.1823 c. M:-26.2846 c. 17: 2 2 1 2 2 5 3 N SD: 14.9294 c. M: 32.2884 c. 20: 2 3 1 2 2 6 4 N SD: 17.9617 c. M: 25.9853 c. 21: 3 3 0 3 2 6 4 N SD: 15.3228 c. M:-28.2158 c. 22: 3 3 0 3 2 7 4 N SD: 15.2148 c. M: 21.5716 c. 23: 3 3 1 3 2 7 4 N SD: 12.0288 c. M:-17.8565 c. 27: 3 4 1 3 3 8 5 N SD: 8.0743 c. M: 14.9937 c. 31: 4 4 1 4 3 9 6 N SD: 4.6605 c. M:-8.8534 c. 41: 5 6 1 5 4 12 8 N SD: 5.6059 c. M: 8.4886 c. 42: 5 6 1 6 4 12 8 N SD: 5.4765 c. M:-10.4031 c. 48: 6 7 1 6 5 14 9 N SD: 4.6649 c. M:-10.3586 c. 52: 6 8 1 7 5 15 10 N SD: 5.0318 c. M:-8.4356 c. 58: 7 8 2 7 6 17 11 N SD: 3.5273 c. M: 7.3309 c. 65: 8 9 2 8 7 19 12 N SD: 3.6171 c. M:-6.1207 c. 69: 8 10 2 9 7 20 13 N SD: 3.1875 c. M: 6.8549 c. 73: 9 10 2 10 7 21 14 N SD: 3.4571 c. M:-5.7065 c. 76: 9 11 2 10 7 23 14 N SD: 3.2674 c. M: 5.7822 c. 79: 10 11 2 10 8 23 15 N SD: 3.1029 c. M:-5.9134 c. 83: 10 12 2 11 8 24 16 N SD: 2.7634 c. M: 5.6676 c. 85: 10 12 3 11 8 25 16 N SD: 3.3072 c. M: 4.8088 c. 89: 11 12 3 11 9 26 17 N SD: 3.1366 c. M: 5.0062 c. 90: 11 13 2 12 9 26 17 N SD: 3.1192 c. M:-5.3586 c. 91: 11 13 2 12 9 27 17 N SD: 2.7185 c. M: 5.8583 c. 96: 12 13 3 12 10 28 18 N SD: 2.6623 c. M:-4.0147 c. 100: 12 14 3 13 10 29 19 N SD: 1.8058 c. M: 2.6414 c. 133: 16 19 4 17 13 39 25 N SD: 1.5517 c. M:-3.1643 c. 145: 18 20 4 19 14 43 27 N SD: 1.5462 c. M:-2.9802 c. 148: 18 21 4 19 15 43 28 N SD: 1.3800 c. M:-2.7527 c. 164: 20 23 5 21 16 48 31 N SD: 1.1279 c. M:-2.5041 c. 172: 21 24 5 22 17 51 32 N SD: 1.1570 c. M:-2.4019 c. 179: 22 25 5 23 18 52 34 N SD: 1.3311 c. M: 2.2752 c. 195: 24 27 6 25 19 57 37 N SD: 1.3332 c. M:-2.0538 c. 197: 24 28 5 26 19 58 37 N SD: 1.1833 c. M:-2.1099 c. 203: 25 28 6 26 20 60 38 N SD: 1.1264 c. M:-1.7980 c. 207: 25 29 6 27 20 61 39 N SD: 0.9641 c. M: 1.5979 c. 214: 26 30 6 28 21 63 40 N SD: 0.8227 c. M:-1.3587 c. 224: 27 32 6 29 22 66 42 N SD: 0.8149 c. M:-1.4301 c. 245: 30 34 7 32 24 72 46 N SD: 0.7481 c. M: 1.1720 c. 255: 31 36 7 33 25 75 48 N SD: 0.3777 c. M:-0.6527 c. 469: 57 66 13 61 46 138 88 N SD: 0.3550 c. M: 0.7410 c. 500: 61 70 14 65 49 147 94 N SD: 0.3295 c. M: 0.7154 c. 527: 64 74 15 68 52 155 99 N SD: 0.3441 c. M: 0.6568 c. 533: 65 75 15 69 52 157 100 N SD: 0.3756 c. M:-0.5556 c. 591: 72 83 17 76 58 174 111 N SD: 0.2858 c. M:-0.5231 c. 602: 73 85 17 78 59 177 113 N SD: 0.3412 c. M: 0.4703 c. 626: 76 88 18 81 61 184 118 N SD: 0.3354 c. M: 0.5404 c. 633: 77 89 18 82 62 186 119 N SD: 0.1757 c. M:-0.3828 c. 691: 84 97 20 89 68 203 130 N SD: 0.2165 c. M:-0.3439 c. 846: 103 119 24 109 83 249 159 N SD: 0.2209 c. M: 0.3365 c. 888: 108 125 25 115 87 261 167 N SD: 0.1122 c. M:-0.2235 c. 1160: 141 163 33 150 114 341 218 N SD: 0.1197 c. M: 0.1586 c. 1224: 149 172 35 158 120 360 230 N SD: 0.1388 c. M:-0.3042 c. 1324: 161 186 38 171 130 389 249 N SD: 0.1256 c. M:-0.2272 c. 1415: 172 199 40 183 139 416 266 N SD: 0.0990 c. M: 0.1642 c. 1579: 192 222 45 204 155 464 297 N SD: 0.0642 c. M:-0.1129 c. 1834: 223 258 52 237 180 539 345 N SD: 0.0584 c. M:-0.0805 c. 2079: 253 292 59 269 204 611 391 N SD: 0.0540 c. M: 0.0863 c. 2334: 284 328 66 302 229 686 439 N SD: 0.0553 c. M: 0.1293 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x 4 S SD: 40.1917 cents 3 x x x 4 x 5:6 S SD: 30.0576 cents 4 x x 5 x 6:7:8 S SD: 22.2283 cents 5 x 6 x x 7:9:10 SD: 14.5721 cents 6 x 7 x 8:9:11:12 SD: 24.0047 cents 7 x 8 x 9:10:12:14 S SD: 23.1648 cents 8:9 x 10:11 x 14:16 SD: 16.7922 cents 9:10 x 11:12:13:16:18 SD: 7.5672 cents 10:11:12 x 13:14:18:20 SD: 13.1511 cents 11:12:13 x 15:16:19:22 SD: 9.5585 cents 12:13:14:15:16:17:21:24 SD: 9.2140 cents 13:14 x 16:17:19:23:26 SD: 9.7454 cents 14:15 x 17:19:20:25:28 SD: 8.1013 cents 15:16:18 x 20:21:26:30 SD: 9.4600 cents 18:20 x 22:24:26:32:36 SD: 7.5672 cents 19:21:23 x 25:27:33:38 SD: 8.0827 cents 20:22:24 x 27:29:35:40 SD: 5.5508 cents 21:23:25:26:28:30:37:42 SD: 4.1105 cents 23:25 x 28:31:33:40:46 SD: 3.7738 cents 24:26:29 x 32:34:42:48 SD: 4.1927 cents 28:30 x 34:37:40:49:56 SD: 6.1609 cents 29:32:35 x 39:42:51:58 SD: 5.7548 cents 30:33:36:37:40:43:53:60 SD: 3.8452 cents 32:35:38:39:43:46:56:64 SD: 3.3493 cents 33:36 x 40:44:47:58:66 SD: 3.3018 cents 35:38:42:43:47:50:61:70 SD: 2.4335 cents 38:41:46 x 51:54:67:76 SD: 4.4998 cents 39:42:47:48:52:56:68:78 SD: 3.7703 cents 41:45:49:50:55:59:72:82 SD: 2.8160 cents 44:48:53:54:59:63:77:88 SD: 1.8002 cents 67:73:80:82:90:96:118:134 SD: 1.7305 cents 69:75:83:84:92:99:121:138 SD: 1.7242 cents 70:76:84:86:94:100:123:140 SD: 1.6527 cents 71:77:85:87:95:102:125:142 SD: 1.4691 cents 77:84:92:94:103:110:135:154 SD: 1.4093 cents 80:87:96:98:107:115:140:160 SD: 1.3094 cents 81:88:97:99:108:116:142:162 SD: 1.0563 cents 90:98:108:110:120:129:158:180 SD: 0.9223 cents 115:125:138:141:154:165:202:230 SD: 0.8613 cents 116:126:139:142:155:166:204:232 SD: 0.7394 cents 125:136:150:153:167:179:219:250 SD: 0.6491 cents 139:151:167:170:186:199:244:278 SD: 0.5837 cents 160:174:192:196:214:229:281:320 SD: 0.4471 cents 171:186:205:209:229:245:300:342 SD: 0.3970 cents 192:209:230:235:257:275:337:384 SD: 0.3858 cents 216:235:259:264:289:309:379:432 SD: 0.3370 cents 261:284:313:319:349:374:458:522 SD: 0.3070 cents 287:312:344:351:384:411:504:574 SD: 0.2599 cents 296:322:355:362:396:424:520:592 SD: 0.1913 cents 331:360:397:405:443:474:581:662 SD: 0.1617 cents 421:458:505:515:563:603:739:842 SD: 0.1354 cents 512:557:614:626:685:733:899:1024 SD: 0.1221 cents 556:605:667:680:744:796:976:1112 SD: 0.1124 cents