Scala analysis: CD08_02_Egypt
Suite - Mustafa Fahreddin Dede (rast, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 182.268 cents 182.267677 2: 269.508 cents 269.507937 3: 478.488 cents 478.487528 4: 689.585 cents 689.585157 5: 752.153 cents 752.153302 6: 777.442 cents 777.442181 7: 982.904 cents 982.903978 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 217.0960 cents 217.0960 1: 182.2677 cents 182.2677 2: 87.2403 cents 87.2403 3: 208.9796 cents 208.9796 4: 211.0976 cents 211.0976 5: 62.5681 cents 62.5681 6: 25.2889 cents 25.2889 7: 205.4618 cents 205.4618 8: 217.0960 cents 217.0960
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 25.28888 cents 1: 1 62.56815 cents 1: 1 87.24026 cents 1: 1 182.26768 cents 1: 1 205.46180 cents 1: 1 208.97959 cents 1: 1 211.09763 cents 1: 1 217.09602 cents 2: 1 87.85702 cents 2: 1 230.75068 cents 2: 1 269.50794 cents 2: 1 273.66577 cents 2: 1 296.21985 cents 2: 1 399.36370 cents 2: 1 420.07722 cents 2: 1 422.55782 cents 3: 1 293.31882 cents 3: 1 298.95465 cents 3: 1 447.84670 cents 3: 1 478.48753 cents 3: 1 482.64536 cents 3: 1 486.60396 cents 3: 1 507.31748 cents 3: 1 604.82550 cents 4: 1 504.41645 cents 4: 1 507.93424 cents 4: 1 510.41484 cents 4: 1 569.88563 cents 4: 1 630.11437 cents 4: 1 689.58516 cents 4: 1 692.06576 cents 4: 1 695.58355 cents 5: 1 595.17450 cents 5: 1 692.68252 cents 5: 1 713.39604 cents 5: 1 717.35464 cents 5: 1 721.51247 cents 5: 1 752.15330 cents 5: 1 901.04535 cents 5: 1 906.68118 cents 6: 1 777.44218 cents 6: 1 779.92278 cents 6: 1 800.63630 cents 6: 1 903.78015 cents 6: 1 926.33423 cents 6: 1 930.49206 cents 6: 1 969.24932 cents 6: 1 1112.14298 cents 7: 1 982.90398 cents 7: 1 988.90237 cents 7: 1 991.02041 cents 7: 1 994.53820 cents 7: 1 1017.73232 cents 7: 1 1112.75974 cents 7: 1 1137.43186 cents 7: 1 1174.71112 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 : 182.3 269.5 478.5 689.6 752.2 777.4 982.9 1200.0 182.3 : 87.2 296.2 507.3 569.9 595.2 800.6 1017.7 1200.0 269.5 : 209.0 420.1 482.6 507.9 713.4 930.5 1112.8 1200.0 478.5 : 211.1 273.7 299.0 504.4 721.5 903.8 991.0 1200.0 689.6 : 62.6 87.9 293.3 510.4 692.7 779.9 988.9 1200.0 752.2 : 25.3 230.8 447.8 630.1 717.4 926.3 1137.4 1200.0 777.4 : 205.5 422.6 604.8 692.1 901.0 1112.1 1174.7 1200.0 982.9 : 217.1 399.4 486.6 695.6 906.7 969.2 994.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 25.2889 .. 217.0960 cents 191.80714 cents 25.28888 cents 2: 87.8570 .. 422.5578 cents 334.70080 cents -129.23900 cents 3: 293.3188 .. 604.8255 cents 311.50667 cents -129.23900 cents 4: 504.4164 .. 695.5835 cents 191.16710 cents -100.40905 cents 5: 595.1745 .. 906.6812 cents 311.50668 cents -100.40905 cents 6: 777.4422 .. 1112.1430 cents 334.70080 cents -129.23900 cents 7: 982.9040 .. 1174.7111 cents 191.80714 cents -129.23900 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 25.28888 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 217.09602 cents Average / Smallest step : 5.931461 Largest / Average step : 1.447307 Largest / Smallest step : 8.584644 Median interval of one step : 193.86474 cents, amount: 0 Least squares average step : 146.18056 cents, oct.: 1169.44448 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : DCFGBAEH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.61676 cents Scale diversity : 1.513574 Lumma stability : 0.042148 Lumma impropriety factor : 0.590103 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 : 0.61676 cents Number of recognisable fifths : 6, average 700.1113 cents Number of appreciable fifths : 5, average 696.6626 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 2 0 0 2 1 N T3 S SD: 38.2296 c. M:-67.0960 c. 9: 1 1 2 1 1 0 1 2 N SD: 37.4022 c. M:-54.8458 c. 11: 1 1 2 2 1 0 2 2 N SD: 37.6083 c. M: 73.1768 c. 12: 2 1 2 2 1 0 2 2 N SD: 24.7636 c. M:-47.8467 c. 14: 2 1 3 2 1 0 2 3 N SD: 21.1492 c. M: 40.0468 c. 17: 3 1 3 3 1 0 3 3 N G SD: 16.4532 c. M:-29.4970 c. 18: 3 1 3 3 1 1 3 3 N D3 SD: 16.3662 c. M: 22.9185 c. 21: 3 2 3 4 1 1 3 4 N SD: 14.0431 c. M:-22.5578 c. 22: 3 2 4 4 1 0 4 4 N SD: 12.3283 c. M:-19.5058 c. 26: 4 2 4 5 1 1 4 5 N SD: 9.8809 c. M: 16.9491 c. 28: 4 2 5 5 1 1 5 5 N SD: 10.8130 c. M: 23.5819 c. 31: 5 2 5 6 1 1 5 6 N SD: 10.5746 c. M: 16.6694 c. 32: 5 2 6 5 2 1 5 6 N SD: 8.2060 c. M: 14.5852 c. 35: 5 3 6 6 2 1 6 6 N SD: 7.2071 c. M:-11.3817 c. 38: 6 3 6 7 2 1 6 7 N SD: 7.9928 c. M:-14.7026 c. 40: 6 3 7 7 2 1 7 7 N SD: 2.9448 c. M:-7.0960 c. 45: 7 3 8 8 2 1 8 8 N SD: 3.6212 c. M: 5.4866 c. 73: 11 5 13 13 4 1 13 13 N SD: 3.5205 c. M: 6.4942 c. 77: 12 5 14 13 4 2 13 14 N SD: 3.5533 c. M:-4.7453 c. 83: 13 6 14 15 4 2 14 15 N SD: 3.3795 c. M:-5.6841 c. 85: 13 6 15 15 4 2 15 15 N SD: 2.6212 c. M:-5.3313 c. 93: 14 7 16 16 5 2 16 17 N SD: 2.9240 c. M: 5.7142 c. 94: 14 7 16 17 5 2 16 17 N SD: 2.6255 c. M: 6.1471 c. 99: 15 7 17 18 5 2 17 18 N SD: 2.4401 c. M: 5.7603 c. 105: 16 8 18 18 6 2 18 19 N SD: 2.3739 c. M:-4.7778 c. 110: 17 8 19 19 6 2 19 20 N SD: 2.1810 c. M:-3.2193 c. 120: 18 9 21 21 6 3 20 22 N SD: 1.8526 c. M: 2.9040 c. 131: 20 9 23 23 7 3 22 24 N SD: 2.1493 c. M: 3.8591 c. 133: 20 10 23 23 7 3 23 24 N SD: 2.0330 c. M: 3.8709 c. 137: 21 10 24 24 7 3 23 25 N SD: 2.0176 c. M:-3.2643 c. 139: 21 10 24 25 7 3 24 25 N SD: 1.6600 c. M: 3.6674 c. 150: 23 11 26 26 8 3 26 27 N SD: 1.4712 c. M:-2.4921 c. 151: 23 11 26 27 8 3 26 27 N SD: 1.6935 c. M:-2.8136 c. 153: 23 11 27 27 8 3 26 28 N SD: 1.5748 c. M: 2.8413 c. 160: 24 12 28 28 8 4 27 29 N SD: 1.5486 c. M:-2.5578 c. 165: 25 12 29 29 8 4 28 30 N SD: 1.3929 c. M: 3.0624 c. 171: 26 12 30 30 9 4 29 31 N SD: 1.4731 c. M: 2.8413 c. 177: 27 13 31 31 9 4 30 32 N SD: 1.6015 c. M:-2.8684 c. 178: 27 13 31 31 10 3 31 32 N SD: 1.5352 c. M:-2.9029 c. 183: 28 13 32 32 10 4 31 33 N SD: 1.4138 c. M:-2.8857 c. 184: 28 13 32 33 9 4 32 33 N SD: 1.7072 c. M: 2.4006 c. 188: 29 13 33 33 10 4 32 34 N SD: 1.2705 c. M:-2.8387 c. 190: 29 14 33 33 10 4 33 34 N SD: 1.3684 c. M:-2.3592 c. 193: 29 14 34 34 10 4 33 35 N SD: 1.0730 c. M: 2.1504 c. 199: 30 15 34 35 11 4 34 36 N SD: 1.4635 c. M: 2.1480 c. 204: 31 15 35 36 11 4 35 37 N SD: 1.0567 c. M: 2.0169 c. 228: 35 16 40 40 12 5 39 41 N SD: 1.0829 c. M:-1.9428 c. 231: 35 17 40 41 12 5 39 42 N SD: 1.0124 c. M:-1.7786 c. 233: 35 17 41 41 12 5 40 42 N SD: 1.0108 c. M: 2.0102 c. 236: 36 17 41 42 12 5 40 43 N SD: 0.9665 c. M:-1.9403 c. 239: 36 18 41 42 13 5 41 43 N SD: 1.2831 c. M: 1.7190 c. 244: 37 18 42 43 13 5 42 44 N SD: 0.7901 c. M: 1.4383 c. 276: 42 20 48 49 14 6 47 50 N SD: 0.6968 c. M:-1.7192 c. 289: 44 21 50 51 15 6 50 52 N SD: 0.7143 c. M:-1.1791 c. 298: 45 22 52 52 16 6 51 54 N SD: 0.6746 c. M: 1.0596 c. 303: 46 22 53 53 16 6 52 55 N SD: 0.5995 c. M: 1.2046 c. 343: 52 25 60 60 18 7 59 62 N SD: 0.4407 c. M:-0.8128 c. 369: 56 27 64 65 19 8 63 67 N SD: 0.4934 c. M: 0.9338 c. 409: 62 30 71 72 21 9 70 74 N SD: 0.4316 c. M: 1.0531 c. 426: 65 31 74 75 22 9 73 77 N SD: 0.5031 c. M:-0.9146 c. 437: 66 32 76 77 23 9 75 79 N SD: 0.5005 c. M: 1.0320 c. 442: 67 32 77 78 23 9 76 80 N SD: 0.5086 c. M: 0.9716 c. 454: 69 33 79 80 24 9 78 82 N SD: 0.4582 c. M:-1.1507 c. 482: 73 35 84 85 25 10 83 87 N SD: 0.4600 c. M: 0.6787 c. 520: 79 38 90 92 27 11 89 94 N SD: 0.3815 c. M: 0.7952 c. 552: 84 40 96 97 29 12 94 100 N SD: 0.3768 c. M:-0.8187 c. 560: 85 41 97 99 29 12 96 101 N SD: 0.4250 c. M:-0.6675 c. 562: 85 41 98 99 29 12 96 102 N SD: 0.4614 c. M: 0.7730 c. 565: 86 41 98 100 29 12 97 102 N SD: 0.4100 c. M:-0.6803 c. 574: 87 42 100 101 30 12 98 104 N SD: 0.3017 c. M:-0.4599 c. 614: 93 45 107 108 32 13 105 111 N SD: 0.3142 c. M: 0.5087 c. 619: 94 45 108 109 32 13 106 112 N SD: 0.2356 c. M:-0.5602 c. 818: 124 60 142 144 43 17 140 148 N SD: 0.2628 c. M:-0.4187 c. 823: 125 60 143 145 43 17 141 149 N SD: 0.1848 c. M: 0.2854 c. 863: 131 63 150 152 45 18 148 156 N SD: 0.1483 c. M:-0.2487 c. 1171: 178 85 204 206 61 25 200 212 N SD: 0.1511 c. M:-0.3546 c. 1211: 184 88 211 213 63 26 207 219 N SD: 0.1661 c. M:-0.4273 c. 1337: 203 97 233 235 70 28 229 242 N SD: 0.1581 c. M: 0.2807 c. 1375: 209 100 239 242 72 29 235 249 N SD: 0.1602 c. M: 0.2330 c. 1377: 209 100 240 242 72 29 236 249 N SD: 0.1448 c. M: 0.2605 c. 1394: 212 101 243 245 73 29 239 252 N SD: 0.1433 c. M:-0.2287 c. 1415: 215 103 246 249 74 30 242 256 N SD: 0.1312 c. M:-0.2257 c. 1420: 216 103 247 250 74 30 243 257 N SD: 0.1213 c. M:-0.2675 c. 1460: 222 106 254 257 76 31 250 264 N SD: 0.1080 c. M:-0.1981 c. 1514: 230 110 264 266 79 32 259 274 N SD: 0.0990 c. M:-0.2443 c. 1608: 244 117 280 283 84 34 275 291 N SD: 0.1125 c. M: 0.1781 c. 1613: 245 117 281 284 84 34 276 292 N SD: 0.0983 c. M: 0.1961 c. 1653: 251 120 288 291 86 35 283 299 N SD: 0.0834 c. M: 0.1794 c. 1758: 267 128 306 309 92 37 301 318 N SD: 0.0771 c. M: 0.1654 c. 1763: 268 128 307 310 92 37 302 319 N SD: 0.0779 c. M:-0.1487 c. 1803: 274 131 314 317 94 38 309 326 N SD: 0.0739 c. M:-0.1243 c. 2034: 309 148 354 358 106 43 348 368 N SD: 0.0746 c. M:-0.1389 c. 2337: 355 170 407 411 122 49 400 423 N SD: 0.0632 c. M: 0.1055 c. 2377: 361 173 414 418 124 50 407 430 N SD: 0.0499 c. M:-0.0989 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: 6.1849 cents 3 x x 4 x x x 5:6 S SD: 33.4891 cents 4 x x 5:6 x x 7:8 S SD: 23.5149 cents 5 x 6:7 x x 8:9:10 S SD: 24.8730 cents 6 x 7:8:9 x x 11:12 SD: 14.0844 cents 7 x 8:9:10 x 11:12:14 S SD: 17.5233 cents 8:9 x 11:12 x 13:14:16 SD: 16.7528 cents 9:10:11:12:13 x 14:16:18 S SD: 13.9878 cents 10:11:12:13:15 x 16:18:20 SD: 10.7720 cents 11:12:13:15:16:17 x 19:22 SD: 12.6406 cents 12:13:14:16:18 x 19:21:24 SD: 7.7960 cents 13:14:15:17:19:20 x 23:26 SD: 9.8052 cents 14 x 16:18:21 x 22:25:28 SD: 10.4994 cents 15:17:18:20:22:23:24:26:30 SD: 10.3077 cents 16:18:19:21:24 x 25:28:32 SD: 5.8666 cents 18:20:21:24:27 x 28:32:36 S SD: 4.2216 cents 20:22:23:26:30:31 x 35:40 SD: 6.4530 cents 22:24:26:29:33:34 x 39:44 SD: 5.7360 cents 23:26:27:30:34 x 36:41:46 SD: 6.0543 cents 24:27:28:32:36:37:38:42:48 SD: 4.9131 cents 25:28:29:33:37 x 39:44:50 SD: 3.3499 cents 27:30:32:36:40 x 42:48:54 S SD: 5.3514 cents 28:31:33:37:42:43:44:49:56 SD: 3.4058 cents 29:32:34:38:43:45 x 51:58 SD: 3.0227 cents 34:38:40:45:51 x 53:60:68 SD: 3.2719 cents 35:39:41:46:52:54:55:62:70 SD: 1.6199 cents 36:40:42:47:54 x 56:64:72 SD: 3.9797 cents 37:41:43:49:55:57:58:65:74 SD: 1.9826 cents 47:52:55:62:70:73:74:83:94 SD: 1.9212 cents 53:59:62:70:79:82:83:94:106 SD: 1.3853 cents 72:80:84:95:107:111:113:127:144 SD: 0.7802 cents 88:98:103:116:131:136:138:155:176 SD: 0.7774 cents 90:100:105:119:134:139:141:159:180 SD: 0.7759 cents 119:132:139:157:177:184:186:210:238 SD: 0.7728 cents 125:139:146:165:186:193:196:221:250 SD: 0.6203 cents 153:170:179:202:228:236:240:270:306 SD: 0.5534 cents 154:171:180:203:229:238:241:272:308 SD: 0.5433 cents 160:178:187:211:238:247:251:282:320 SD: 0.5289 cents 173:192:202:228:258:267:271:305:346 SD: 0.4548 cents 178:198:208:235:265:275:279:314:356 SD: 0.4341 cents 208:231:243:274:310:321:326:367:416 SD: 0.2845 cents 280:311:327:369:417:432:439:494:560 SD: 0.2709 cents 296:329:346:390:441:457:464:522:592 SD: 0.2419 cents 298:331:348:393:444:460:467:526:596 SD: 0.2176 cents 314:349:367:414:468:485:492:554:628 SD: 0.2065 cents 351:390:410:463:523:542:550:619:702 SD: 0.1960 cents 386:429:451:509:575:596:605:681:772 SD: 0.1224 cents 487:541:569:642:725:752:763:859:974 SD: 0.1099 cents 540:600:631:712:804:834:846:953:1080 SD: 0.1090 cents