Scala analysis: CD02_03_Egypt
Par le grand mode Nahâwand - Darwîsh Muhammad al-Harîrî (nahawand, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 88.421 cents 88.421275 2: 392.383 cents 392.383314 3: 608.940 cents 608.939861 4: 808.919 cents 808.918683 5: 901.332 cents 901.332347 6: 1111.090 cents 1111.090360 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 88.9096 cents 88.9096 1: 88.4213 cents 88.4213 2: 303.9620 cents 303.9620 3: 216.5565 cents 216.5565 4: 199.9788 cents 199.9788 5: 92.4137 cents 92.4137 6: 209.7580 cents 209.7580 7: 88.9096 cents 88.9096
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 88.42127 cents 1: 1 88.90964 cents 1: 1 92.41366 cents 1: 1 199.97882 cents 1: 1 209.75801 cents 1: 1 216.55655 cents 1: 1 303.96204 cents 2: 1 177.33091 cents 2: 1 292.39249 cents 2: 1 298.66765 cents 2: 1 302.17168 cents 2: 1 392.38331 cents 2: 1 416.53537 cents 2: 1 520.51859 cents 3: 1 387.08893 cents 3: 1 391.08132 cents 3: 1 481.29295 cents 3: 1 502.15050 cents 3: 1 508.94903 cents 3: 1 608.93986 cents 3: 1 720.49741 cents 4: 1 479.50259 cents 4: 1 591.06014 cents 4: 1 691.05097 cents 4: 1 697.84950 cents 4: 1 718.70705 cents 4: 1 808.91868 cents 4: 1 812.91107 cents 5: 1 679.48141 cents 5: 1 783.46463 cents 5: 1 807.61669 cents 5: 1 897.82832 cents 5: 1 901.33235 cents 5: 1 907.60751 cents 5: 1 1022.66908 cents 6: 1 896.03796 cents 6: 1 983.44345 cents 6: 1 990.24199 cents 6: 1 1000.02118 cents 6: 1 1107.58634 cents 6: 1 1111.09036 cents 6: 1 1111.57873 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 : 88.4 392.4 608.9 808.9 901.3 1111.1 1200.0 88.4 : 304.0 520.5 720.5 812.9 1022.7 1111.6 1200.0 392.4 : 216.6 416.5 508.9 718.7 807.6 896.0 1200.0 608.9 : 200.0 292.4 502.2 591.1 679.5 983.4 1200.0 808.9 : 92.4 302.2 391.1 479.5 783.5 1000.0 1200.0 901.3 : 209.8 298.7 387.1 691.1 907.6 1107.6 1200.0 1111.1: 88.9 177.3 481.3 697.8 897.8 990.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 88.4213 .. 303.9620 cents 215.54076 cents 88.42127 cents 2: 177.3309 .. 520.5186 cents 343.18767 cents -126.63112 cents 3: 387.0889 .. 720.4974 cents 333.40848 cents -133.42966 cents 4: 479.5026 .. 812.9111 cents 333.40848 cents -240.99482 cents 5: 679.4814 .. 1022.6691 cents 343.18767 cents -133.42966 cents 6: 896.0380 .. 1111.5787 cents 215.54076 cents -126.63112 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 88.42127 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 303.96204 cents Average / Smallest step : 1.938771 Largest / Average step : 1.773112 Largest / Smallest step : 3.437657 Median interval of one step : 199.97882 cents, amount: 1 Least squares average step : 182.20633 cents, oct.: 1275.44431 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : AGFDCEB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.30200 cents Scale diversity : 1.501903 Lumma stability : 0.147369 Lumma impropriety factor : 0.565904 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 : 0.48837 cents Number of recognisable fifths : 3, average 702.5358 cents Number of appreciable fifths : 2, average 694.4502 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 0 2 1 1 1 1 1 N T3 SD: 78.5330 c. M: 123.2044 c. 8: 1 2 1 1 1 1 1 P M ME S SD: 45.3506 c. M:-61.5787 c. 9: 1 2 2 1 1 1 1 N D3 S SD: 34.8149 c. M:-57.7268 c. 10: 1 2 2 2 1 1 1 N S SD: 32.7335 c. M:-58.6677 c. 12: 1 3 2 2 1 2 1 N SD: 8.2489 c. M:-11.5787 c. 27: 2 7 5 4 2 5 2 N SD: 8.1857 c. M:-13.2824 c. 28: 2 7 5 5 2 5 2 N SD: 4.9644 c. M: 8.9399 c. 37: 3 9 7 6 3 6 3 N SD: 6.1153 c. M:-8.8760 c. 40: 3 10 7 7 3 7 3 N SD: 3.6298 c. M: 8.9399 c. 43: 3 11 8 7 3 8 3 N SD: 4.5698 c. M: 8.3091 c. 52: 4 13 9 9 4 9 4 N SD: 3.9615 c. M: 8.9399 c. 53: 4 13 10 9 4 9 4 N SD: 4.2392 c. M: 7.4777 c. 55: 4 14 10 9 4 10 4 N SD: 2.8477 c. M: 6.7869 c. 65: 5 16 12 11 5 11 5 N SD: 3.1849 c. M: 4.6910 c. 67: 5 17 12 11 5 12 5 N SD: 2.5871 c. M: 5.8100 c. 83: 6 21 15 14 6 15 6 N SD: 2.3750 c. M: 4.9468 c. 85: 6 22 15 14 7 15 6 N SD: 3.0720 c. M: 4.2128 c. 92: 7 23 17 15 7 16 7 N SD: 2.1999 c. M:-4.1036 c. 95: 7 24 17 16 7 17 7 N SD: 2.0065 c. M: 4.4902 c. 104: 8 26 19 17 8 18 8 N SD: 2.2894 c. M:-3.8864 c. 105: 8 26 19 18 8 18 8 N SD: 2.6444 c. M: 3.8119 c. 107: 8 27 19 18 8 19 8 N SD: 2.1598 c. M: 4.1361 c. 108: 8 27 20 18 8 19 8 N SD: 1.8411 c. M: 3.4944 c. 120: 9 30 22 20 9 21 9 N SD: 1.3851 c. M: 2.3833 c. 150: 11 38 27 25 12 26 11 N SD: 1.1950 c. M:-2.6677 c. 162: 12 41 29 27 13 28 12 N SD: 1.2258 c. M:-2.3714 c. 165: 12 42 30 27 13 29 12 N SD: 1.2501 c. M:-1.9692 c. 177: 13 45 32 29 14 31 13 N SD: 1.0420 c. M: 2.1390 c. 193: 14 49 35 32 15 34 14 N SD: 0.9568 c. M:-1.8630 c. 205: 15 52 37 34 16 36 15 N SD: 0.6458 c. M: 1.1138 c. 217: 16 55 39 36 17 38 16 N SD: 0.6606 c. M: 1.5454 c. 270: 20 68 49 45 21 47 20 N SD: 0.6133 c. M: 1.2722 c. 282: 21 71 51 47 22 49 21 N SD: 0.6404 c. M:-0.9404 c. 297: 22 75 54 49 23 52 22 N SD: 0.6081 c. M:-1.1611 c. 325: 24 82 59 54 25 57 24 N SD: 0.4576 c. M: 0.9987 c. 337: 25 85 61 56 26 59 25 N SD: 0.4503 c. M: 0.6919 c. 406: 30 103 73 68 31 71 30 N SD: 0.4684 c. M:-0.9335 c. 461: 34 117 83 77 35 81 34 N SD: 0.4649 c. M: 0.6816 c. 475: 35 120 86 79 37 83 35 N SD: 0.4566 c. M: 0.8044 c. 487: 36 123 88 81 38 85 36 N SD: 0.4378 c. M: 0.7051 c. 526: 39 133 95 88 40 92 39 N SD: 0.4336 c. M:-0.9672 c. 530: 39 134 96 88 41 93 39 N SD: 0.4288 c. M: 0.6852 c. 542: 40 137 98 90 42 95 40 N SD: 0.3948 c. M: 0.8006 c. 571: 42 145 103 95 44 100 42 N SD: 0.4096 c. M:-0.6434 c. 583: 43 148 105 97 45 102 43 N SD: 0.3563 c. M:-0.7556 c. 611: 45 155 110 102 47 107 45 N SD: 0.2793 c. M:-0.5299 c. 623: 46 158 112 104 48 109 46 N SD: 0.2740 c. M:-0.5541 c. 648: 48 164 117 108 50 113 48 N SD: 0.3275 c. M:-0.5195 c. 676: 50 171 122 113 52 118 50 N SD: 0.3031 c. M:-0.5488 c. 691: 51 175 125 115 53 121 51 N SD: 0.3023 c. M:-0.6115 c. 703: 52 178 127 117 54 123 52 N SD: 0.2463 c. M:-0.4485 c. 731: 54 185 132 122 56 128 54 N SD: 0.2026 c. M:-0.3836 c. 743: 55 188 134 124 57 130 55 N SD: 0.1896 c. M:-0.4078 c. 853: 63 216 154 142 66 149 63 N SD: 0.2263 c. M:-0.4262 c. 881: 65 223 159 147 68 154 65 N SD: 0.2184 c. M:-0.3739 c. 893: 66 226 161 149 69 156 66 N SD: 0.2017 c. M:-0.3474 c. 908: 67 230 164 151 70 159 67 N SD: 0.1974 c. M:-0.3634 c. 920: 68 233 166 153 71 161 68 N SD: 0.1922 c. M:-0.2744 c. 936: 69 237 169 156 72 164 69 N SD: 0.1752 c. M:-0.4481 c. 948: 70 240 171 158 73 166 70 N SD: 0.1417 c. M:-0.3020 c. 1218: 90 308 220 203 94 213 90 N SD: 0.1768 c. M: 0.2651 c. 1245: 92 315 225 207 96 218 92 N SD: 0.1894 c. M:-0.2534 c. 1273: 94 322 230 212 98 223 94 N SD: 0.1777 c. M:-0.3001 c. 1334: 98 338 241 222 103 233 99 N SD: 0.1590 c. M: 0.2654 c. 1346: 99 341 243 224 104 235 100 N SD: 0.1638 c. M: 0.3006 c. 1374: 101 348 248 229 106 240 102 N SD: 0.1738 c. M: 0.2436 c. 1415: 104 359 255 236 109 247 105 N SD: 0.1604 c. M:-0.2669 c. 1470: 108 373 265 245 113 257 109 N SD: 0.1517 c. M:-0.2697 c. 1510: 111 383 272 252 116 264 112 N SD: 0.1510 c. M: 0.2094 c. 1523: 112 386 275 254 117 266 113 N SD: 0.1403 c. M:-0.2737 c. 1535: 113 389 277 256 118 268 114 N SD: 0.1192 c. M: 0.2109 c. 1578: 116 400 285 263 121 276 117 N SD: 0.1519 c. M: 0.2083 c. 1584: 117 401 286 264 122 277 117 N SD: 0.1726 c. M:-0.2733 c. 1587: 117 402 286 265 122 277 118 N SD: 0.1641 c. M: 0.3153 c. 1590: 117 403 287 265 122 278 118 N SD: 0.1273 c. M: 0.2003 c. 1685: 124 427 304 281 130 294 125 N SD: 0.1255 c. M:-0.2700 c. 1700: 125 431 307 283 131 297 126 N SD: 0.1231 c. M:-0.2366 c. 1712: 126 434 309 285 132 299 127 N SD: 0.1058 c. M:-0.1723 c. 1728: 127 438 312 288 133 302 128 N SD: 0.1037 c. M: 0.2268 c. 1740: 128 441 314 290 134 304 129 N SD: 0.0657 c. M: 0.1454 c. 1752: 129 444 316 292 135 306 130 N SD: 0.0668 c. M: 0.1315 c. 1860: 137 471 336 310 143 325 138 N SD: 0.0887 c. M: 0.1252 c. 1872: 138 474 338 312 144 327 139 N SD: 0.0857 c. M: 0.1929 c. 1945: 143 493 351 324 150 340 144 N SD: 0.0857 c. M: 0.1951 c. 1957: 144 496 353 326 151 342 145 N SD: 0.0751 c. M: 0.1297 c. 2065: 152 523 373 344 159 361 153 N SD: 0.0665 c. M: 0.1315 c. 2077: 153 526 375 346 160 363 154 N SD: 0.0495 c. M: 0.0867 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x x 4 S SD: 46.5076 cents 3 x 4 x x 5 x 6 S SD: 35.6721 cents 4 x 5:6 x 7 x 8 S SD: 28.7707 cents 5 x 6:7:8 x x 10 S SD: 20.3262 cents 6 x 8:9 x 10:11:12 S SD: 30.9287 cents 7:8:9:10:11:12:13:14 H SD: 22.8284 cents 8:9:10:11:13 x 15:16 SD: 22.4937 cents 9:10:11:13:14:15:17:18 SD: 16.8709 cents 10:11:13:14:16:17:19:20 SD: 14.7833 cents 11:12:14:16:18:19:21:22 SD: 14.3368 cents 12:13:15:17:19:20:23:24 SD: 8.1889 cents 15:16:19:21:24:25:29:30 SD: 7.4915 cents 16:17:20:23:26:27:30:32 SD: 6.7379 cents 17:18:21:24:27:29:32:34 SD: 6.0993 cents 19:20:24:27:30:32:36:38 S SD: 3.1917 cents 35:37:44:50:56:59:66:70 SD: 2.6571 cents 38:40:48:54:61:64:72:76 SD: 2.3842 cents 40:42:50:57:64:67:76:80 SD: 1.8212 cents 54:57:68:77:86:91:103:108 SD: 1.8212 cents 59:62:74:84:94:99:112:118 SD: 1.0130 cents 79:83:99:112:126:133:150:158 SD: 0.8427 cents 111:117:139:158:177:187:211:222 SD: 0.7303 cents 114:120:143:162:182:192:217:228 SD: 0.5281 cents 133:140:167:189:212:224:253:266 SD: 0.5059 cents 173:182:217:246:276:291:329:346 SD: 0.3080 cents 228:240:286:324:364:384:433:456 SD: 0.2569 cents 287:302:360:408:458:483:545:574 SD: 0.1321 cents 401:422:503:570:640:675:762:802 SD: 0.0870 cents