Scala analysis: CD07_12_Egypt
Suite - 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: 227.244 cents 227.244266 2: 298.512 cents 298.511905 3: 343.408 cents 343.407738 4: 504.809 cents 504.808585 5: 752.551 cents 752.551170 6: 878.059 cents 878.058583 7: 1000.245 cents 1000.244914 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 199.7551 cents 199.7551 1: 227.2443 cents 227.2443 2: 71.2676 cents 71.2676 3: 44.8958 cents 44.8958 4: 161.4008 cents 161.4008 5: 247.7426 cents 247.7426 6: 125.5074 cents 125.5074 7: 122.1863 cents 122.1863 8: 199.7551 cents 199.7551
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 44.89583 cents 1: 1 71.26764 cents 1: 1 122.18633 cents 1: 1 125.50741 cents 1: 1 161.40085 cents 1: 1 199.75509 cents 1: 1 227.24427 cents 1: 1 247.74259 cents 2: 1 116.16347 cents 2: 1 206.29668 cents 2: 1 247.69374 cents 2: 1 298.51191 cents 2: 1 321.94142 cents 2: 1 373.25000 cents 2: 1 409.14343 cents 2: 1 426.99935 cents 3: 1 277.56432 cents 3: 1 343.40774 cents 3: 1 447.44883 cents 3: 1 454.03927 cents 3: 1 495.43633 cents 3: 1 498.26699 cents 3: 1 534.65085 cents 3: 1 549.18568 cents 4: 1 504.80858 cents 4: 1 525.30690 cents 4: 1 543.16282 cents 4: 1 579.54668 cents 4: 1 620.45332 cents 4: 1 656.83718 cents 4: 1 674.69310 cents 4: 1 695.19141 cents 5: 1 650.81432 cents 5: 1 665.34915 cents 5: 1 701.73301 cents 5: 1 704.56367 cents 5: 1 745.96074 cents 5: 1 752.55117 cents 5: 1 856.59226 cents 5: 1 922.43568 cents 6: 1 773.00065 cents 6: 1 790.85657 cents 6: 1 826.75000 cents 6: 1 878.05858 cents 6: 1 901.48810 cents 6: 1 952.30626 cents 6: 1 993.70332 cents 6: 1 1083.83653 cents 7: 1 952.25741 cents 7: 1 972.75573 cents 7: 1 1000.24491 cents 7: 1 1038.59915 cents 7: 1 1074.49259 cents 7: 1 1077.81367 cents 7: 1 1128.73236 cents 7: 1 1155.10417 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 : 227.2 298.5 343.4 504.8 752.6 878.1 1000.2 1200.0 227.2 : 71.3 116.2 277.6 525.3 650.8 773.0 972.8 1200.0 298.5 : 44.9 206.3 454.0 579.5 701.7 901.5 1128.7 1200.0 343.4 : 161.4 409.1 534.7 656.8 856.6 1083.8 1155.1 1200.0 504.8 : 247.7 373.2 495.4 695.2 922.4 993.7 1038.6 1200.0 752.6 : 125.5 247.7 447.4 674.7 746.0 790.9 952.3 1200.0 878.1 : 122.2 321.9 549.2 620.5 665.3 826.8 1074.5 1200.0 1000.2: 199.8 427.0 498.3 543.2 704.6 952.3 1077.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 44.8958 .. 247.7426 cents 202.84675 cents 44.89583 cents 2: 116.1635 .. 426.9994 cents 310.83588 cents -131.57911 cents 3: 277.5643 .. 549.1857 cents 271.62136 cents -149.43503 cents 4: 504.8086 .. 695.1914 cents 190.38283 cents -44.37710 cents 5: 650.8143 .. 922.4357 cents 271.62136 cents -44.37710 cents 6: 773.0006 .. 1083.8365 cents 310.83588 cents -149.43503 cents 7: 952.2574 .. 1155.1042 cents 202.84675 cents -131.57911 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 44.89583 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 247.74259 cents Average / Smallest step : 3.341067 Largest / Average step : 1.651617 Largest / Smallest step : 5.518164 Median interval of one step : 143.45413 cents, amount: 0 Least squares average step : 144.63994 cents, oct.: 1157.11950 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : GBAEHDCF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.04884 cents Scale diversity : 1.777471 Lumma stability : 0.074826 Lumma impropriety factor : 0.542319 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 : 0.04884 cents Number of recognisable fifths : 3, average 700.4960 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 2 0 0 1 2 1 1 1 N SD: 40.5391 c. M:-72.7557 c. 10: 2 0 1 1 2 1 1 2 N SD: 32.7964 c. M: 58.5119 c. 11: 2 1 0 2 2 1 1 2 N SD: 20.3488 c. M:-40.6460 c. 14: 3 1 0 2 3 1 2 2 N SD: 23.8400 c. M:-44.3452 c. 16: 3 1 1 2 3 2 1 3 N SD: 17.8124 c. M:-31.5923 c. 17: 3 1 1 2 4 1 2 3 N SD: 17.2600 c. M: 30.9998 c. 19: 4 1 1 2 4 2 2 3 N SD: 17.2424 c. M:-35.5396 c. 21: 4 1 1 3 4 2 2 4 N SD: 14.2192 c. M: 28.8163 c. 22: 4 1 1 3 5 2 2 4 N SD: 14.5403 c. M: 25.7846 c. 24: 5 1 1 3 5 3 2 4 N SD: 11.5899 c. M:-22.7557 c. 27: 5 2 1 3 6 3 3 4 N SD: 12.2183 c. M:-21.9773 c. 29: 5 2 1 4 6 3 3 5 N SD: 10.6483 c. M: 20.3477 c. 31: 6 2 1 4 7 3 3 5 N SD: 10.2129 c. M:-21.6424 c. 32: 6 2 1 4 7 3 4 5 N SD: 9.6210 c. M: 17.3086 c. 34: 6 2 2 4 7 4 3 6 N SD: 11.1690 c. M: 16.1590 c. 35: 7 2 1 5 7 4 3 6 N SD: 8.4506 c. M:-13.3700 c. 36: 7 2 1 5 8 3 4 6 N SD: 7.8501 c. M:-14.1155 c. 38: 7 2 2 5 8 4 4 6 N SD: 7.3388 c. M: 14.3014 c. 41: 8 2 2 5 9 4 4 7 N SD: 6.0455 c. M:-8.4244 c. 48: 9 3 2 6 10 5 5 8 N SD: 3.3495 c. M:-6.5923 c. 59: 11 4 2 8 12 6 6 10 N SD: 3.5335 c. M:-6.5728 c. 64: 12 4 2 9 13 7 6 11 N SD: 3.5901 c. M: 6.4949 c. 67: 13 4 2 9 14 7 7 11 N SD: 3.4519 c. M:-5.9657 c. 78: 15 4 3 11 16 8 8 13 N SD: 3.2925 c. M: 6.2042 c. 83: 16 5 3 11 17 9 8 14 N SD: 3.1535 c. M:-5.1026 c. 85: 16 5 3 12 17 9 9 14 N SD: 2.9473 c. M: 4.5842 c. 96: 18 6 3 13 20 10 10 16 N SD: 3.1859 c. M: 5.9077 c. 97: 18 6 4 13 20 10 10 16 N SD: 2.3941 c. M: 4.5639 c. 101: 19 6 4 13 21 11 10 17 N SD: 2.7829 c. M: 5.7987 c. 102: 19 6 4 14 21 11 10 17 N SD: 2.6901 c. M: 4.3943 c. 104: 20 6 4 14 21 11 11 17 N SD: 2.5314 c. M:-3.6012 c. 105: 20 6 4 14 22 11 11 17 N SD: 2.3569 c. M:-5.4694 c. 112: 21 7 4 15 23 12 11 19 N SD: 1.9500 c. M: 3.8163 c. 116: 22 7 4 16 24 12 12 19 N SD: 1.9204 c. M:-3.2034 c. 126: 24 7 5 17 26 13 13 21 N SD: 1.4302 c. M: 3.2738 c. 142: 27 8 6 19 29 15 14 24 N SD: 2.0310 c. M:-3.0711 c. 148: 28 9 5 20 31 15 15 25 N SD: 1.9857 c. M: 2.9476 c. 150: 28 9 6 20 31 16 15 25 N SD: 1.6573 c. M: 3.2443 c. 157: 30 9 6 21 32 17 16 26 N SD: 1.5420 c. M: 3.5066 c. 160: 30 10 6 21 33 17 16 27 N SD: 1.9193 c. M: 2.7449 c. 161: 30 10 6 22 33 17 16 27 N SD: 1.6643 c. M: 3.6418 c. 164: 31 10 6 22 34 17 17 27 N SD: 1.0414 c. M:-2.1941 c. 206: 39 12 8 28 42 22 21 34 N SD: 1.2526 c. M:-1.9875 c. 209: 40 12 8 28 43 22 21 35 N SD: 1.0624 c. M:-2.4208 c. 210: 40 12 8 28 44 22 21 35 N SD: 1.3502 c. M: 1.9514 c. 212: 40 13 8 28 44 22 22 35 N SD: 1.1594 c. M:-1.8753 c. 217: 41 13 8 29 45 23 22 36 N SD: 0.8079 c. M: 1.5828 c. 228: 43 14 8 31 47 24 23 38 N SD: 0.8541 c. M:-1.4881 c. 238: 45 14 9 32 49 25 24 40 N SD: 0.9872 c. M: 1.9256 c. 242: 46 14 9 33 50 25 25 40 N SD: 0.9834 c. M:-1.4080 c. 265: 50 16 10 35 55 28 27 44 N SD: 0.9511 c. M: 2.1671 c. 269: 51 16 10 36 56 28 27 45 N SD: 0.7163 c. M:-1.3522 c. 276: 52 17 10 37 57 29 28 46 N SD: 0.7084 c. M:-1.4881 c. 290: 55 17 11 39 60 30 30 48 N SD: 0.5827 c. M:-1.1344 c. 343: 65 20 13 46 71 36 35 57 N SD: 0.6031 c. M: 1.1358 c. 354: 67 21 13 48 73 37 36 59 N SD: 0.3991 c. M: 1.0349 c. 395: 75 23 15 53 82 41 40 66 N SD: 0.5679 c. M:-0.8666 c. 402: 76 24 15 54 83 42 41 67 N SD: 0.2796 c. M: 0.4466 c. 692: 131 41 26 93 143 72 71 115 N SD: 0.2691 c. M: 0.6019 c. 727: 138 43 27 98 150 76 74 121 N SD: 0.2407 c. M:-0.5412 c. 775: 147 46 29 104 160 81 79 129 N SD: 0.2157 c. M:-0.3686 c. 877: 166 52 33 118 181 92 89 146 N SD: 0.1673 c. M:-0.3907 c. 920: 174 55 34 124 190 96 94 153 N SD: 0.2072 c. M: 0.3643 c. 925: 175 55 35 124 191 97 94 154 N SD: 0.1910 c. M:-0.3760 c. 936: 177 56 35 126 193 98 95 156 N SD: 0.2129 c. M: 0.3212 c. 944: 179 56 35 127 195 99 96 157 N SD: 0.2045 c. M:-0.3312 c. 1041: 197 62 39 140 215 109 106 173 N SD: 0.1930 c. M:-0.3315 c. 1062: 201 63 40 143 219 111 108 177 N SD: 0.1630 c. M:-0.2762 c. 1129: 214 67 42 152 233 118 115 188 N SD: 0.1131 c. M:-0.2137 c. 1279: 242 76 48 172 264 134 130 213 N SD: 0.1085 c. M: 0.1919 c. 1531: 290 91 57 206 316 160 156 255 N SD: 0.1078 c. M: 0.2010 c. 1569: 297 93 59 211 324 164 160 261 N SD: 0.1035 c. M: 0.2327 c. 1617: 306 96 61 217 334 169 165 269 N SD: 0.1415 c. M:-0.1915 c. 1628: 308 97 61 219 336 170 166 271 N SD: 0.1092 c. M: 0.2172 c. 1652: 313 98 62 222 341 173 168 275 N SD: 0.0931 c. M:-0.1758 c. 1942: 368 115 73 261 401 203 198 323 N SD: 0.1028 c. M:-0.1670 c. 1995: 378 118 75 268 412 209 203 332 N SD: 0.1084 c. M: 0.1660 c. 2006: 380 119 75 270 414 210 204 334 N SD: 0.0574 c. M:-0.1069 c. 2054: 389 122 77 276 424 215 209 342 N SD: 0.0553 c. M:-0.1171 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: 25.2981 cents 3 x x x 4 x 5 x 6 S SD: 3.0811 cents 4 x x 5 x 6 x 7:8 S SD: 18.3508 cents 5 x 6 x 7:8 x 9:10 S SD: 20.3665 cents 6 x 7 x 8:9:10:11:12 S SD: 12.9734 cents 7:8 x x 9:11:12 x 14 SD: 18.7682 cents 8:9 x 10:11:12:13:14:16 S SD: 13.9271 cents 9:10 x 11:12:14:15:16:18 S SD: 6.8247 cents 10:11:12 x 13:15:17:18:20 SD: 15.1422 cents 11 x 13 x 15:17:18:20:22 SD: 9.0936 cents 12 x 14:15:16:19:20:21:24 SD: 10.8461 cents 13:15 x 16:17:20:22:23:26 SD: 8.5501 cents 14:16 x 17:19:22:23:25:28 SD: 6.2172 cents 15:17:18 x 20:23:25:27:30 SD: 4.4003 cents 18 x 21:22:24:28:30:32:36 S SD: 5.0965 cents 19:22 x 23:25:29:32:34:38 SD: 7.5801 cents 20:23:24 x 27:31:33:36:40 SD: 4.9274 cents 22:25:26:27:29:34:37:39:44 SD: 4.8684 cents 23:26:27:28:31:36:38:41:46 SD: 4.7177 cents 24:27 x 29:32:37:40:43:48 SD: 4.4628 cents 25:29:30 x 33:39:42:45:50 SD: 7.5105 cents 26:30:31:32:35:40:43:46:52 SD: 4.0739 cents 27:31:32:33:36:42:45:48:54 SD: 2.6010 cents 36:41:43:44:48:56:60:64:72 SD: 2.3674 cents 41:47:49:50:55:63:68:73:82 SD: 2.1146 cents 42:48:50:51:56:65:70:75:84 SD: 1.7227 cents 50:57:59:61:67:77:83:89:100 SD: 1.6646 cents 59:67:70:72:79:91:98:105:118 SD: 1.0478 cents 86:98:102:105:115:133:143:153:172 SD: 0.7643 cents 101:115:120:123:135:156:168:180:202 SD: 0.6345 cents 127:145:151:155:170:196:211:226:254 SD: 0.5161 cents 165:188:196:201:221:255:274:294:330 SD: 0.3393 cents 228:260:271:278:305:352:379:406:456 SD: 0.3257 cents 265:302:315:323:355:409:440:472:530 SD: 0.3139 cents 277:316:329:338:371:428:460:494:554 SD: 0.2988 cents 292:333:347:356:391:451:485:520:584 SD: 0.1839 cents 478:545:568:583:640:738:794:852:956 SD: 0.1348 cents 584:666:694:712:782:902:970:1041:1168 SD: 0.1227 cents