Scala analysis: CD18_20_Tunisia
Istikhbâr, rasd al-Dhîl / Danse Fizzânî - L'ensemble de Muhammad Ghânim (rasd al-dhil, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 110.105 cents 110.105064 2: 295.659 cents 295.658743 3: 454.778 cents 454.778342 4: 615.672 cents 615.671738 5: 797.905 cents 797.905337 6: 943.401 cents 943.400810 7: 1119.231 cents 1119.230769 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 80.7692 cents 80.7692 1: 110.1051 cents 110.1051 2: 185.5537 cents 185.5537 3: 159.1196 cents 159.1196 4: 160.8934 cents 160.8934 5: 182.2336 cents 182.2336 6: 145.4955 cents 145.4955 7: 175.8300 cents 175.8300 8: 80.7692 cents 80.7692
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 80.76923 cents 1: 1 110.10506 cents 1: 1 145.49547 cents 1: 1 159.11960 cents 1: 1 160.89340 cents 1: 1 175.82996 cents 1: 1 182.23360 cents 1: 1 185.55368 cents 2: 1 190.87430 cents 2: 1 256.59919 cents 2: 1 295.65874 cents 2: 1 320.01299 cents 2: 1 321.32543 cents 2: 1 327.72907 cents 2: 1 343.12700 cents 2: 1 344.67328 cents 3: 1 366.70425 cents 3: 1 376.42797 cents 3: 1 402.09466 cents 3: 1 454.77834 cents 3: 1 488.62247 cents 3: 1 502.24659 cents 3: 1 503.55903 cents 3: 1 505.56667 cents 4: 1 512.19973 cents 4: 1 535.54757 cents 4: 1 552.25793 cents 4: 1 584.32826 cents 4: 1 615.67174 cents 4: 1 647.74207 cents 4: 1 664.45243 cents 4: 1 687.80027 cents 5: 1 694.43333 cents 5: 1 696.44097 cents 5: 1 697.75341 cents 5: 1 711.37753 cents 5: 1 745.22166 cents 5: 1 797.90534 cents 5: 1 823.57203 cents 5: 1 833.29575 cents 6: 1 855.32672 cents 6: 1 856.87300 cents 6: 1 872.27093 cents 6: 1 878.67457 cents 6: 1 879.98701 cents 6: 1 904.34126 cents 6: 1 943.40081 cents 6: 1 1009.12570 cents 7: 1 1014.44632 cents 7: 1 1017.76640 cents 7: 1 1024.17004 cents 7: 1 1039.10660 cents 7: 1 1040.88040 cents 7: 1 1054.50453 cents 7: 1 1089.89494 cents 7: 1 1119.23077 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 : 110.1 295.7 454.8 615.7 797.9 943.4 1119.2 1200.0 110.1 : 185.6 344.7 505.6 687.8 833.3 1009.1 1089.9 1200.0 295.7 : 159.1 320.0 502.2 647.7 823.6 904.3 1014.4 1200.0 454.8 : 160.9 343.1 488.6 664.5 745.2 855.3 1040.9 1200.0 615.7 : 182.2 327.7 503.6 584.3 694.4 880.0 1039.1 1200.0 797.9 : 145.5 321.3 402.1 512.2 697.8 856.9 1017.8 1200.0 943.4 : 175.8 256.6 366.7 552.3 711.4 872.3 1054.5 1200.0 1119.2: 80.8 190.9 376.4 535.5 696.4 878.7 1024.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 80.7692 .. 185.5537 cents 104.78445 cents 80.76923 cents 2: 190.8743 .. 344.6733 cents 153.79898 cents 5.32062 cents 3: 366.7043 .. 505.5667 cents 138.86242 cents 22.03098 cents 4: 512.1997 .. 687.8003 cents 175.60055 cents 6.63305 cents 5: 694.4333 .. 833.2957 cents 138.86242 cents 6.63305 cents 6: 855.3267 .. 1009.1257 cents 153.79898 cents 22.03098 cents 7: 1014.4463 .. 1119.2308 cents 104.78445 cents 5.32062 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 80.76923 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 185.55368 cents Average / Smallest step : 1.857143 Largest / Average step : 1.237025 Largest / Smallest step : 2.297331 Median interval of one step : 160.00650 cents, amount: 0 Least squares average step : 154.96564 cents, oct.: 1239.72516 cents Scale is strictly proper Step pattern alph. order: ABCDEFGH Step pattern size order : BHDEGCFA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 5.32062 cents Scale diversity : 1.643940 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.191256 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 : 1.31244 cents Number of recognisable fifths : 5, average 697.5611 cents Number of appreciable fifths : 4, average 700.0013 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 36.8279 c. M: 69.2308 c. 10: 1 1 2 1 2 1 1 1 N D3 SD: 30.9518 c. M: 55.6587 c. 11: 1 2 1 2 1 2 1 1 P D3 SD: 28.0694 c. M:-38.8737 c. 12: 1 2 1 2 2 1 2 1 P D3 I SD: 26.5167 c. M: 54.7783 c. Magen Abot: Jewish 13: 1 2 2 2 2 1 2 1 N SD: 20.2140 c. M:-32.8639 c. 14: 1 2 2 2 2 2 2 1 P D3 I SD: 21.6118 c. M: 38.5159 c. 15: 1 3 2 2 2 2 2 1 N SD: 19.3885 c. M: 30.1051 c. 18: 2 2 3 2 3 2 3 1 P SD: 16.0921 c. M: 28.9921 c. 19: 2 3 2 3 3 2 3 1 P SD: 15.5860 c. M:-23.1473 c. 21: 2 3 3 3 3 3 3 1 P SD: 14.3026 c. M:-28.0278 c. 23: 2 4 3 3 3 3 3 2 P SD: 13.5586 c. M: 23.5786 c. 24: 2 4 3 3 4 3 3 2 P SD: 10.0446 c. M: 19.2308 c. 28: 3 4 4 3 5 3 4 2 P SD: 12.1231 c. M:-18.4664 c. 29: 3 4 4 4 4 4 4 2 SP SD: 7.6517 c. M:-14.0329 c. 32: 3 5 4 4 5 4 5 2 P SD: 7.6599 c. M: 15.6717 c. 33: 3 5 5 4 5 4 5 2 P SD: 7.2915 c. M:-17.9489 c. 41: 4 6 5 6 6 5 6 3 SP SD: 7.5938 c. M: 15.7540 c. 42: 4 6 6 6 6 5 6 3 P SD: 6.2998 c. M:-12.8997 c. 43: 4 7 5 6 7 5 6 3 P SD: 6.7995 c. M:-11.3970 c. 45: 4 7 6 6 7 5 7 3 P SD: 4.0485 c. M: 10.0675 c. 53: 5 8 7 7 8 7 7 4 SP SD: 5.2044 c. M: 9.7968 c. 56: 5 9 7 8 8 7 8 4 P SD: 4.0901 c. M:-5.7568 c. 66: 6 10 9 9 10 8 10 4 P SD: 3.5920 c. M:-8.0420 c. 74: 7 11 10 10 11 9 11 5 SP SD: 2.3945 c. M: 3.7669 c. 90: 8 14 12 12 14 11 13 6 P SD: 2.2481 c. M: 3.4384 c. 98: 9 15 13 13 15 12 14 7 SP SD: 2.4128 c. M: 4.9451 c. 105: 10 16 14 14 16 13 15 7 SP SD: 2.7191 c. M:-5.1706 c. 107: 10 16 15 14 16 13 16 7 SP SD: 2.6706 c. M:-5.0347 c. 108: 10 17 14 14 17 13 16 7 P SD: 2.6384 c. M: 4.5606 c. 113: 10 18 15 15 17 14 16 8 P SD: 2.3524 c. M: 4.1865 c. 117: 11 18 15 16 18 14 17 8 SP SD: 1.9008 c. M: 3.4963 c. 131: 12 20 18 17 20 16 19 9 SP SD: 1.7453 c. M:-3.2369 c. 134: 12 21 18 18 20 16 20 9 P SD: 1.8102 c. M: 3.1023 c. 146: 13 23 19 20 22 18 21 10 P SD: 1.7448 c. M: 3.2557 c. 150: 14 23 20 20 23 18 22 10 SP SD: 1.1536 c. M:-2.0947 c. 174: 16 27 23 23 27 21 25 12 SP SD: 1.3657 c. M:-2.0947 c. 179: 16 28 24 24 27 22 26 12 P SD: 1.3447 c. M: 2.8425 c. 182: 17 28 24 24 28 22 27 12 SP SD: 1.3346 c. M: 2.4849 c. 187: 17 29 25 25 28 23 27 13 SP SD: 1.3183 c. M: 2.6532 c. 195: 18 30 26 26 30 23 29 13 SP SD: 1.0848 c. M:-2.0947 c. 206: 19 32 27 28 31 25 30 14 SP SD: 0.9024 c. M:-1.8040 c. 248: 23 38 33 33 38 30 36 17 SP SD: 0.8263 c. M: 1.4888 c. 251: 23 39 33 34 38 30 37 17 SP SD: 0.7936 c. M: 1.5681 c. 271: 25 42 36 36 41 33 40 18 SP SD: 0.7955 c. M:-1.3102 c. 296: 27 46 39 40 45 36 43 20 SP SD: 0.6515 c. M:-1.1938 c. 308: 28 48 41 41 47 37 45 21 SP SD: 0.7416 c. M:-1.0658 c. 314: 29 48 42 42 48 38 46 21 SP SD: 0.6933 c. M: 1.3912 c. 328: 30 51 43 44 50 40 48 22 SP SD: 0.6488 c. M: 1.1198 c. 337: 31 52 45 45 51 41 49 23 SP SD: 0.5738 c. M: 1.1299 c. 341: 31 53 45 46 52 41 50 23 SP SD: 0.5803 c. M: 1.0142 c. 361: 33 56 48 48 55 44 53 24 SP SD: 0.5602 c. M:-0.9908 c. 370: 34 57 49 50 56 45 54 25 SP SD: 0.4140 c. M: 0.7243 c. 415: 38 64 55 56 63 50 61 28 SP SD: 0.4866 c. M: 0.8024 c. 435: 40 67 58 58 66 53 64 29 SP SD: 0.4655 c. M:-0.7692 c. 478: 44 74 63 64 73 58 70 32 SP SD: 0.4508 c. M: 0.6090 c. 491: 45 76 65 66 74 60 72 33 SP SD: 0.4291 c. M: 1.1640 c. 520: 48 80 69 70 79 63 76 35 SP SD: 0.4005 c. M:-0.6642 c. 552: 51 85 73 74 84 67 81 37 SP SD: 0.3709 c. M:-0.7645 c. 565: 52 87 75 76 86 68 83 38 SP SD: 0.3640 c. M:-0.6787 c. 567: 52 88 75 76 86 69 83 38 SP SD: 0.3347 c. M:-0.6376 c. 612: 56 95 81 82 93 74 90 41 SP SD: 0.2530 c. M:-0.4197 c. 641: 59 99 85 86 97 78 94 43 SP SD: 0.2407 c. M: 0.4014 c. 686: 63 106 91 92 104 83 101 46 SP SD: 0.2400 c. M: 0.5437 c. 710: 65 110 94 95 108 86 104 48 SP SD: 0.2616 c. M: 0.4605 c. 731: 67 113 97 98 111 89 107 49 SP SD: 0.2329 c. M:-0.5116 c. 776: 71 120 103 104 118 94 114 52 SP SD: 0.2199 c. M:-0.3569 c. 860: 79 133 114 115 131 104 126 58 SP SD: 0.1794 c. M: 0.3229 c. 982: 90 152 130 132 149 119 144 66 SP SD: 0.1233 c. M:-0.2142 c. 1230: 113 190 163 165 187 149 180 83 SP SD: 0.1171 c. M: 0.2064 c. 1501: 138 232 199 201 228 182 220 101 SP SD: 0.1080 c. M:-0.2214 c. 1591: 146 246 211 213 242 193 233 107 SP SD: 0.1006 c. M: 0.2098 c. 1647: 151 255 218 221 250 200 241 111 SP SD: 0.1034 c. M:-0.1518 c. 1692: 155 262 224 227 257 205 248 114 SP SD: 0.1109 c. M: 0.1760 c. 1721: 158 266 228 231 261 209 252 116 SP SD: 0.1093 c. M: 0.2296 c. 1725: 158 267 229 231 262 209 253 116 SP SD: 0.1024 c. M: 0.1920 c. 1797: 165 278 238 241 273 218 263 121 SP SD: 0.0962 c. M:-0.1718 c. 1842: 169 285 244 247 280 223 270 124 SP SD: 0.0723 c. M:-0.1403 c. 2095: 192 324 278 281 318 254 307 141 SP SD: 0.0644 c. M: 0.1289 c. 2245: 206 347 298 301 341 272 329 151 SP SD: 0.0759 c. M:-0.1348 c. 2277: 209 352 302 305 346 276 334 153 SP SD: 0.0707 c. M:-0.1368 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: 43.1416 cents 3 x x 4 x x 5 x 6 S SD: 24.3994 cents 4 x x 5:6 x 7 x 8 S SD: 28.2607 cents 5 x 6 x 7:8:9 x 10 S SD: 17.0328 cents 6 x 7:8:9 x 10:11:12 S SD: 22.6771 cents 7 x 8:9:10:11:12:13:14 S SD: 12.0809 cents 8 x x 10:11:13:14:15:16 SD: 18.4470 cents 9:10:11:12:13:14:16:17:18 S SD: 15.0057 cents 10:11:12:13:14:16:17:19:20 SD: 9.2192 cents 12:13:14:16:17:19:21:23:24 SD: 8.2669 cents 14:15:17:18:20:22:24:27:28 SD: 6.5865 cents 16:17:19:21:23:25:28:31:32 SD: 6.1188 cents 17:18:20:22:24:27:29:32:34 SD: 5.1462 cents 21:22:25:27:30:33:36:40:42 SD: 5.0936 cents 26:28:31:34:37:41:45:50:52 SD: 3.5773 cents 31:33:37:40:44:49:53:59:62 SD: 3.2215 cents 32:34:38:42:46:51:55:61:64 SD: 2.9705 cents 33:35:39:43:47:52:57:63:66 SD: 1.9945 cents 43:46:51:56:61:68:74:82:86 SD: 1.7342 cents 44:47:52:57:63:70:76:84:88 SD: 1.6681 cents 63:67:75:82:90:100:109:120:126 SD: 1.2894 cents 75:80:89:98:107:119:129:143:150 SD: 1.2370 cents 77:82:91:100:110:122:133:147:154 SD: 0.9745 cents 80:85:95:104:114:127:138:153:160 SD: 0.9079 cents 87:93:103:113:124:138:150:166:174 SD: 0.8884 cents 91:97:108:118:130:144:157:174:182 SD: 0.8781 cents 106:113:126:138:151:168:183:202:212 SD: 0.7797 cents 119:127:141:155:170:189:205:227:238 SD: 0.7399 cents 120:128:142:156:171:190:207:229:240 SD: 0.7201 cents 123:131:146:160:176:195:212:235:246 SD: 0.6529 cents 140:149:166:182:200:222:241:267:280 SD: 0.5739 cents 150:160:178:195:214:238:259:286:300 SD: 0.4667 cents 166:177:197:216:237:263:286:317:332 SD: 0.3504 cents 210:224:249:273:300:333:362:401:420 SD: 0.3478 cents 243:259:288:316:347:385:419:464:486 SD: 0.2929 cents 273:291:324:355:390:433:471:521:546 SD: 0.2908 cents 290:309:344:377:414:460:500:554:580 SD: 0.2301 cents 306:326:363:398:437:485:528:584:612 SD: 0.2281 cents 316:337:375:411:451:501:545:603:632 SD: 0.2012 cents 349:372:414:454:498:553:602:666:698 SD: 0.1778 cents 396:422:470:515:565:628:683:756:792 SD: 0.1432 cents 473:504:561:615:675:750:816:903:946 SD: 0.1064 cents