Scala analysis: CD07_13_Egypt
Danse bédouine - Taha Abû Mandûr (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 157.484 cents 157.483553 2: 359.291 cents 359.290618 3: 505.233 cents 505.233416 4: 716.510 cents 716.509576 5: 864.354 cents 864.354116 6: 978.229 cents 978.228745 7: 1099.140 cents 1099.140477 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 100.8595 cents 100.8595 1: 157.4836 cents 157.4836 2: 201.8071 cents 201.8071 3: 145.9428 cents 145.9428 4: 211.2762 cents 211.2762 5: 147.8445 cents 147.8445 6: 113.8746 cents 113.8746 7: 120.9117 cents 120.9117 8: 100.8595 cents 100.8595
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 100.85952 cents 1: 1 113.87463 cents 1: 1 120.91173 cents 1: 1 145.94280 cents 1: 1 147.84454 cents 1: 1 157.48355 cents 1: 1 201.80707 cents 1: 1 211.27616 cents 2: 1 221.77125 cents 2: 1 234.78636 cents 2: 1 258.34308 cents 2: 1 261.71917 cents 2: 1 347.74986 cents 2: 1 357.21896 cents 2: 1 359.12070 cents 2: 1 359.29062 cents 3: 1 335.64588 cents 3: 1 379.25481 cents 3: 1 382.63090 cents 3: 1 460.15014 cents 3: 1 472.99533 cents 3: 1 505.06350 cents 3: 1 505.23342 cents 3: 1 559.02602 cents 4: 1 483.49042 cents 4: 1 493.12944 cents 4: 1 581.06187 cents 4: 1 593.90706 cents 4: 1 606.09294 cents 4: 1 618.93813 cents 4: 1 706.87056 cents 4: 1 716.50958 cents 5: 1 640.97398 cents 5: 1 694.76658 cents 5: 1 694.93650 cents 5: 1 727.00467 cents 5: 1 739.84986 cents 5: 1 817.36910 cents 5: 1 820.74519 cents 5: 1 864.35412 cents 6: 1 840.70938 cents 6: 1 840.87930 cents 6: 1 842.78104 cents 6: 1 852.25014 cents 6: 1 938.28083 cents 6: 1 941.65692 cents 6: 1 965.21364 cents 6: 1 978.22875 cents 7: 1 988.72384 cents 7: 1 998.19293 cents 7: 1 1042.51645 cents 7: 1 1052.15546 cents 7: 1 1054.05720 cents 7: 1 1079.08827 cents 7: 1 1086.12537 cents 7: 1 1099.14048 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 : 157.5 359.3 505.2 716.5 864.4 978.2 1099.1 1200.0 157.5 : 201.8 347.7 559.0 706.9 820.7 941.7 1042.5 1200.0 359.3 : 145.9 357.2 505.1 618.9 739.8 840.7 998.2 1200.0 505.2 : 211.3 359.1 473.0 593.9 694.8 852.3 1054.1 1200.0 716.5 : 147.8 261.7 382.6 483.5 641.0 842.8 988.7 1200.0 864.4 : 113.9 234.8 335.6 493.1 694.9 840.9 1052.2 1200.0 978.2 : 120.9 221.8 379.3 581.1 727.0 938.3 1086.1 1200.0 1099.1: 100.9 258.3 460.2 606.1 817.4 965.2 1079.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 100.8595 .. 211.2762 cents 110.41664 cents 100.85952 cents 2: 221.7713 .. 359.2906 cents 137.51936 cents 10.49509 cents 3: 335.6459 .. 559.0260 cents 223.38014 cents -23.64473 cents 4: 483.4904 .. 716.5096 cents 233.01915 cents -75.53560 cents 5: 640.9740 .. 864.3541 cents 223.38014 cents -75.53560 cents 6: 840.7094 .. 978.2287 cents 137.51936 cents -23.64473 cents 7: 988.7238 .. 1099.1405 cents 110.41664 cents 10.49509 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 100.85952 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 211.27616 cents Average / Smallest step : 1.487217 Largest / Average step : 1.408508 Largest / Smallest step : 2.094757 Median interval of one step : 146.89367 cents, amount: 0 Least squares average step : 160.50456 cents, oct.: 1284.03646 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : FGDHEBCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 10.49509 cents Scale diversity : 1.524046 Lumma stability : 0.185591 Lumma impropriety factor : 0.165301 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 : 0.16992 cents Number of recognisable fifths : 4, average 703.2708 cents Number of appreciable fifths : 3, average 698.8579 cents Formal octave complements present : 1 = 12.5000% Limited inverse transpositions with margin 223.3801 cents: 5 -- Rational properties --
FIT/MODE
8: 1 1 1 2 1 0 1 1 N T3 SD: 46.8360 c. M: 78.2287 c. 9: 1 1 2 1 1 1 1 1 P M ME SD: 49.5580 c. M: 92.6240 c. 10: 1 2 1 2 1 1 1 1 N D3 SD: 20.4518 c. M: 37.4836 c. 14: 2 2 2 2 2 1 2 1 P D3 SD: 19.4530 c. M: 35.3716 c. 17: 2 3 2 3 2 2 1 2 N G SD: 17.9146 c. M: 40.3169 c. 21: 3 3 3 4 2 2 2 2 N SD: 13.7803 c. M:-26.3476 c. 22: 3 4 2 4 3 2 2 2 N SD: 10.9334 c. M:-22.5276 c. 23: 3 4 3 4 3 2 2 2 N SD: 12.2291 c. M:-22.6024 c. 26: 3 5 3 5 3 2 3 2 N SD: 12.5532 c. M:-21.9520 c. 28: 4 4 4 5 3 3 3 2 N SD: 11.3433 c. M: 16.4335 c. 31: 4 5 4 5 4 3 3 3 N SD: 11.3185 c. M: 19.7354 c. 32: 4 5 4 6 4 3 3 3 N SD: 11.2403 c. M: 21.7906 c. 33: 4 6 4 6 4 3 3 3 N SD: 7.4587 c. M: 12.0290 c. 37: 5 6 5 6 5 3 4 3 N SD: 7.0095 c. M:-13.6855 c. 38: 5 6 5 7 4 4 4 3 N SD: 7.1928 c. M: 11.9222 c. 40: 5 7 5 7 5 4 4 3 N SD: 6.8900 c. M:-11.7713 c. 43: 6 7 5 8 5 4 4 4 N SD: 6.3336 c. M: 10.7684 c. 47: 6 8 6 8 6 4 5 4 N SD: 4.0840 c. M: 8.0160 c. 50: 7 8 6 9 6 5 5 4 N SD: 4.7677 c. M:-10.5164 c. 60: 8 10 7 11 7 6 6 5 N SD: 2.9420 c. M: 5.2334 c. 83: 11 14 10 15 10 8 8 7 N SD: 3.2071 c. M:-6.3820 c. 86: 11 15 10 15 11 8 9 7 N SD: 3.0296 c. M: 4.8817 c. 92: 12 16 11 16 11 9 9 8 N SD: 3.0234 c. M:-5.9268 c. 93: 12 16 11 17 11 9 9 8 N SD: 2.8140 c. M:-6.0711 c. 97: 13 16 12 17 12 9 10 8 N SD: 1.7121 c. M:-3.3412 c. 107: 14 18 13 19 13 10 11 9 N SD: 1.0785 c. M: 2.5278 c. 167: 22 28 20 30 20 16 17 14 N SD: 1.3669 c. M: 2.2394 c. 168: 22 28 21 29 21 16 17 14 N SD: 1.3314 c. M: 2.2239 c. 178: 23 30 22 31 22 17 18 15 N SD: 1.4241 c. M: 2.4274 c. 183: 24 31 22 32 23 17 19 15 N SD: 1.3313 c. M:-2.4989 c. 190: 25 32 23 33 24 18 19 16 N SD: 1.1200 c. M: 2.8254 c. 193: 25 33 23 34 24 18 20 16 N SD: 1.4532 c. M: 2.0629 c. 200: 26 34 24 35 25 19 20 17 N SD: 1.2248 c. M: 2.5096 c. 204: 27 34 25 36 25 19 21 17 N SD: 0.9799 c. M: 1.7582 c. 211: 28 35 26 37 26 20 21 18 N SD: 0.9515 c. M:-1.7582 c. 221: 29 37 27 39 27 21 22 19 N SD: 1.0020 c. M: 2.3079 c. 228: 30 38 28 40 28 22 23 19 N SD: 0.8157 c. M: 1.3959 c. 250: 33 42 30 44 31 24 25 21 N SD: 0.8405 c. M: 1.3096 c. 261: 34 44 32 46 32 25 26 22 N SD: 0.6939 c. M: 1.1617 c. 297: 39 50 36 52 37 28 30 25 N SD: 0.5351 c. M: 1.3581 c. 318: 42 53 39 56 39 30 32 27 N SD: 0.6994 c. M: 1.0273 c. 335: 44 56 41 59 41 32 34 28 N SD: 0.5897 c. M: 1.0817 c. 357: 47 60 43 63 44 34 36 30 N SD: 0.4992 c. M: 1.0317 c. 358: 47 60 44 63 44 34 36 30 N SD: 0.5562 c. M:-0.9118 c. 368: 48 62 45 65 45 35 37 31 N SD: 0.5244 c. M: 0.9618 c. 380: 50 64 46 67 47 36 38 32 N SD: 0.5201 c. M:-0.9090 c. 390: 51 66 47 69 48 37 39 33 N SD: 0.4942 c. M:-0.7094 c. 404: 53 68 49 71 50 38 41 34 N SD: 0.4419 c. M: 1.0010 c. 487: 64 82 59 86 60 46 49 41 N SD: 0.3294 c. M:-0.5335 c. 558: 73 94 68 98 69 53 56 47 N SD: 0.2683 c. M: 0.4943 c. 618: 81 104 75 109 76 59 62 52 N SD: 0.2365 c. M:-0.4120 c. 655: 86 110 80 115 81 62 66 55 N SD: 0.2269 c. M:-0.4154 c. 665: 87 112 81 117 82 63 67 56 N SD: 0.2134 c. M: 0.4911 c. 715: 94 120 87 126 88 68 72 60 N SD: 0.1565 c. M:-0.2787 c. 762: 100 128 93 134 94 72 77 64 N SD: 0.1804 c. M:-0.2784 c. 822: 108 138 100 145 101 78 83 69 N SD: 0.1584 c. M:-0.2787 c. 1012: 133 170 123 178 125 96 102 85 N SD: 0.1426 c. M: 0.3040 c. 1105: 145 186 134 195 136 105 111 93 N SD: 0.1683 c. M: 0.2560 c. 1119: 147 188 136 197 138 106 113 94 N SD: 0.1217 c. M: 0.2127 c. 1273: 167 214 155 224 157 121 128 107 N SD: 0.1102 c. M:-0.2473 c. 1370: 180 230 167 241 169 130 138 115 N SD: 0.1425 c. M:-0.1807 c. 1380: 181 232 168 243 170 131 139 116 N SD: 0.0668 c. M: 0.1602 c. 1867: 245 314 227 329 230 177 188 157 N SD: 0.0749 c. M:-0.1482 c. 2095: 275 352 255 369 258 199 211 176 N SD: 0.0707 c. M: 0.1498 c. 2164: 284 364 263 381 267 205 218 182 N SD: 0.0697 c. M:-0.1561 c. 2392: 314 402 291 421 295 227 241 201 N SD: 0.0612 c. M: 0.1216 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: 7.2773 cents 3 x x 4 x 5 x x 6 S SD: 7.0856 cents 4 x 5 x 6 x 7 x 8 S SD: 8.0253 cents 5 x 6:7 x 8:9 x 10 S SD: 21.9037 cents 6 x 7:8:9:10 x 11:12 S SD: 18.0146 cents 7:8 x 9:11 x 12:13:14 SD: 22.0427 cents 8:9:10:11:12:13:14:15:16 H SD: 9.6789 cents 9:10:11:12:14:15:16:17:18 S SD: 7.7861 cents 12:13:15:16:18:20:21:23:24 SD: 6.3476 cents 17:19:21:23:26:28:30:32:34 SD: 5.5989 cents 18:20:22:24:27:30:32:34:36 S SD: 5.2270 cents 20:22:25:27:30:33:35:38:40 SD: 4.7504 cents 21:23:26:28:32:35:37:40:42 SD: 3.9467 cents 29:32:36:39:44:48:51:55:58 SD: 3.1239 cents 33:36:41:44:50:54:58:62:66 SD: 2.9983 cents 35:38:43:47:53:58:62:66:70 SD: 2.8102 cents 39:43:48:52:59:64:69:74:78 SD: 2.5526 cents 42:46:52:56:64:69:74:79:84 SD: 2.4400 cents 43:47:53:58:65:71:76:81:86 SD: 2.0479 cents 51:56:63:68:77:84:90:96:102 SD: 1.6183 cents 53:58:65:71:80:87:93:100:106 SD: 1.3380 cents 62:68:76:83:94:102:109:117:124 SD: 1.0926 cents 74:81:91:99:112:122:130:140:148 SD: 0.7496 cents 113:124:139:151:171:186:199:213:226 SD: 0.6982 cents 117:128:144:157:177:193:206:221:234 SD: 0.6653 cents 125:137:154:167:189:206:220:236:250 SD: 0.5765 cents 148:162:182:198:224:244:260:279:296 SD: 0.5102 cents 168:184:207:225:254:277:296:317:336 SD: 0.4470 cents 178:195:219:238:269:293:313:336:356 SD: 0.4431 cents 187:205:230:250:283:308:329:353:374 SD: 0.4282 cents 209:229:257:280:316:344:368:394:418 SD: 0.4099 cents 212:232:261:284:321:349:373:400:424 SD: 0.3566 cents 221:242:272:296:334:364:389:417:442 SD: 0.2364 cents 230:252:283:308:348:379:405:434:460 SD: 0.2044 cents 295:323:363:395:446:486:519:557:590 SD: 0.2039 cents 304:333:374:407:460:501:535:574:608 SD: 0.2013 cents 369:404:454:494:558:608:649:696:738 SD: 0.1639 cents 451:494:555:604:682:743:794:851:902 SD: 0.1546 cents 525:575:646:703:794:865:924:991:1050 SD: 0.1236 cents 599:656:737:802:906:987:1054:1130:1198 SD: 0.0714 cents