Scala analysis: CD03_02_Egypt
Ah, comme les êtres chers sont injustes ! / Toi qui a décroché une flèche au coeur / Qu'ont donc observé mes yeux ? - Darwîsh Muhammad al-Harîrî (ajam ushayran, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 182.544 cents 182.543634 2: 495.061 cents 495.060969 3: 689.427 cents 689.426734 4: 900.727 cents 900.726596 5: 985.736 cents 985.736409 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 214.2636 cents 214.2636 1: 182.5436 cents 182.5436 2: 312.5173 cents 312.5173 3: 194.3658 cents 194.3658 4: 211.2999 cents 211.2999 5: 85.0098 cents 85.0098 6: 214.2636 cents 214.2636
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 85.00981 cents 1: 1 182.54363 cents 1: 1 194.36577 cents 1: 1 211.29986 cents 1: 1 214.26359 cents 1: 1 312.51733 cents 2: 1 296.30968 cents 2: 1 299.27340 cents 2: 1 396.80723 cents 2: 1 405.66563 cents 2: 1 495.06097 cents 2: 1 506.88310 cents 3: 1 481.81704 cents 3: 1 490.67544 cents 3: 1 510.57327 cents 3: 1 689.42673 cents 3: 1 709.32456 cents 3: 1 718.18296 cents 4: 1 693.11690 cents 4: 1 704.93903 cents 4: 1 794.33437 cents 4: 1 803.19277 cents 4: 1 900.72660 cents 4: 1 903.69033 cents 5: 1 887.48267 cents 5: 1 985.73641 cents 5: 1 988.70014 cents 5: 1 1005.63423 cents 5: 1 1017.45637 cents 5: 1 1114.99019 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 182.5 495.1 689.4 900.7 985.7 1200.0 182.5 : 312.5 506.9 718.2 803.2 1017.5 1200.0 495.1 : 194.4 405.7 490.7 704.9 887.5 1200.0 689.4 : 211.3 296.3 510.6 693.1 1005.6 1200.0 900.7 : 85.0 299.3 481.8 794.3 988.7 1200.0 985.7 : 214.3 396.8 709.3 903.7 1115.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 85.0098 .. 312.5173 cents 227.50752 cents 85.00981 cents 2: 296.3097 .. 506.8831 cents 210.57343 cents -16.20766 cents 3: 481.8170 .. 718.1830 cents 236.36592 cents -25.06606 cents 4: 693.1169 .. 903.6903 cents 210.57343 cents -25.06606 cents 5: 887.4827 .. 1114.9902 cents 227.50752 cents -16.20766 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 85.00981 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 312.51733 cents Average / Smallest step : 2.352670 Largest / Average step : 1.562587 Largest / Smallest step : 3.676250 Median interval of one step : 202.83281 cents, amount: 0 Least squares average step : 208.48939 cents, oct.: 1250.93632 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BFCDAE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.69017 cents Scale diversity : 1.452747 Lumma stability : 0.141683 Lumma impropriety factor : 0.068790 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 2.96373 cents Number of recognisable fifths : 5, average 702.9980 cents Number of appreciable fifths : 4, average 699.2018 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 207.6097 cents: 3 -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 67.9310 c. M: 100.7266 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 2 1 1 1 1 P M ME SD: 26.5873 c. M: 43.5837 c. 12: 2 3 2 2 1 2 P G D3 SD: 10.3673 c. M:-17.4564 c. Mixolydian Hexatonic, P'yongjo: Korea, Yosen: Japan, Raga Darbar, Narayani, Suposhini, Andolika, Gorakh Kalyan, Rakta Hauns 28: 4 8 4 5 2 5 N SD: 9.1964 c. M:-19.2247 c. 29: 4 8 5 5 2 5 N SD: 10.2916 c. M: 17.0264 c. 32: 5 8 5 6 2 6 P SD: 8.2226 c. M: 14.4267 c. 33: 5 9 5 6 2 6 N SD: 6.8905 c. M:-14.0299 c. 39: 6 10 6 7 3 7 P SD: 6.3291 c. M: 12.5037 c. 44: 7 11 7 8 3 8 P SD: 5.1799 c. M:-8.3655 c. 45: 7 12 7 8 3 8 N SD: 5.8181 c. M:-11.6057 c. 51: 8 13 8 9 4 9 P SD: 4.7125 c. M: 7.0738 c. 61: 9 16 10 11 4 11 N SD: 3.2588 c. M: 5.4945 c. 68: 10 18 11 12 5 12 N SD: 2.7678 c. M: 6.0730 c. 71: 11 18 12 12 5 13 N SD: 4.1296 c. M: 5.4547 c. 72: 11 19 11 13 5 13 N SD: 3.3776 c. M: 6.0934 c. 73: 11 19 12 13 5 13 N SD: 1.7956 c. M:-3.3830 c. 85: 13 22 14 15 6 15 N SD: 1.8898 c. M:-2.8028 c. 112: 17 29 18 20 8 20 N SD: 1.7948 c. M: 3.7124 c. 117: 18 30 19 21 8 21 N SD: 1.8954 c. M: 2.7533 c. 124: 19 32 20 22 9 22 N SD: 1.4058 c. M: 2.3300 c. 145: 22 38 23 26 10 26 N SD: 1.3831 c. M: 2.5302 c. 157: 24 41 25 28 11 28 N SD: 1.1315 c. M:-1.7543 c. 172: 26 45 28 30 12 31 N SD: 1.1260 c. M: 2.0155 c. 184: 28 48 30 32 13 33 N SD: 0.9414 c. M:-1.8776 c. 197: 30 51 32 35 14 35 N SD: 0.9813 c. M: 1.6600 c. 225: 34 59 36 40 16 40 N SD: 0.9674 c. M: 1.4267 c. 230: 35 60 37 41 16 41 N SD: 0.8712 c. M:-1.8821 c. 242: 37 63 39 43 17 43 N SD: 0.9742 c. M:-1.7527 c. 245: 37 64 40 43 17 44 N SD: 0.9204 c. M: 1.3191 c. 252: 38 66 41 44 18 45 N SD: 0.8360 c. M: 1.5913 c. 257: 39 67 42 45 18 46 N SD: 0.7432 c. M:-1.6238 c. 284: 43 74 46 50 20 51 N SD: 0.7887 c. M: 1.2294 c. 296: 45 77 48 52 21 53 N SD: 0.4427 c. M: 0.7266 c. 308: 47 80 50 54 22 55 N SD: 0.3992 c. M: 0.7266 c. 369: 56 96 60 65 26 66 N SD: 0.3862 c. M: 0.7520 c. 381: 58 99 62 67 27 68 N SD: 0.2803 c. M: 0.5728 c. 494: 75 129 80 87 35 88 N SD: 0.4192 c. M:-0.4984 c. 521: 79 136 84 92 37 93 N SD: 0.3986 c. M: 0.7511 c. 526: 80 137 85 93 37 94 N SD: 0.2622 c. M: 0.4533 c. 538: 82 140 87 95 38 96 N SD: 0.2418 c. M:-0.3886 c. 710: 108 185 115 125 50 127 N SD: 0.1858 c. M: 0.3843 c. 717: 109 187 116 126 51 128 N SD: 0.1984 c. M:-0.3365 c. 722: 110 188 117 127 51 129 N SD: 0.2113 c. M:-0.3240 c. 790: 120 206 128 139 56 141 N SD: 0.1488 c. M: 0.2652 c. 834: 127 217 135 147 59 149 N SD: 0.1347 c. M: 0.2181 c. 914: 139 238 148 161 65 163 N SD: 0.1326 c. M:-0.2592 c. 1086: 165 283 176 191 77 194 N SD: 0.1273 c. M: 0.2232 c. 1098: 167 286 178 193 78 196 N SD: 0.1105 c. M:-0.1908 c. 1243: 189 324 201 219 88 222 N SD: 0.1025 c. M:-0.1925 c. 1255: 191 327 203 221 89 224 N SD: 0.1088 c. M:-0.2378 c. 1316: 200 343 213 232 93 235 N SD: 0.1115 c. M:-0.1853 c. 1328: 202 346 215 234 94 237 N SD: 0.0985 c. M:-0.1770 c. 1467: 223 382 238 258 104 262 N SD: 0.1178 c. M: 0.1734 c. 1500: 228 391 243 264 106 268 N SD: 0.1252 c. M:-0.1733 c. 1539: 234 401 249 271 109 275 N SD: 0.1155 c. M: 0.1614 c. 1544: 235 402 250 272 109 276 N SD: 0.1115 c. M: 0.2442 c. 1551: 236 404 251 273 110 277 N SD: 0.0828 c. M: 0.1463 c. 1612: 245 420 261 284 114 288 N SD: 0.0938 c. M: 0.1615 c. 1624: 247 423 263 286 115 290 N SD: 0.0187 c. M: 0.0313 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 6.2641 cents 3 x 4 x 5 x 6 S SD: 5.5459 cents 4 x 5:6 x 7:8 S SD: 27.6913 cents 5:6:7 x 8:9:10 S SD: 36.8531 cents 6:7:8:9:10:11:12 H SD: 17.9453 cents 7:8:9:10:12 x 14 S SD: 22.0792 cents 8:9:11:12:13:14:16 SD: 14.6137 cents 9:10:12:13:15:16:18 SD: 9.3880 cents 11:12:15:16 x 19:22 SD: 15.4873 cents 12:13:16:18:20:21:24 SD: 8.5848 cents 16:18:21:24:27:28:32 S SD: 6.4880 cents 18:20:24:27:30:32:36 S SD: 3.8765 cents 27:30:36:40:45:48:54 S SD: 3.5926 cents 34:38:45:51:57:60:68 SD: 3.3234 cents 35:39:47:52:59:62:70 SD: 2.8956 cents 37:41:49:55:62:65:74 SD: 2.7085 cents 43:48:57:64:72:76:86 SD: 2.2564 cents 45:50:60:67:76:80:90 SD: 2.1036 cents 51:57:68:76:86:90:102 SD: 1.9112 cents 55:61:73:82:93:97:110 SD: 1.8668 cents 57:63:76:85:96:101:114 SD: 1.8656 cents 61:68:81:91:103:108:122 SD: 1.7131 cents 63:70:84:94:106:111:126 SD: 1.1410 cents 72:80:96:107:121:127:144 SD: 1.0016 cents 82:91:109:122:138:145:164 SD: 0.6310 cents 133:148:177:198:224:235:266 SD: 0.5160 cents 145:161:193:216:244:256:290 SD: 0.3651 cents 215:239:286:320:362:380:430 SD: 0.3365 cents 227:252:302:338:382:401:454 SD: 0.3353 cents 233:259:310:347:392:412:466 SD: 0.2361 cents 296:329:394:441:498:523:592 SD: 0.1590 cents 378:420:503:563:636:668:756 SD: 0.0916 cents