Scala analysis: CD08_10_Egypt
Le bas monde a été illuminé - Mustafa Fahreddin Dede (hijaz, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 136.159 cents 136.158635 2: 280.687 cents 280.686923 3: 471.587 cents 471.587077 4: 637.564 cents 637.563995 5: 783.554 cents 783.554421 6: 886.655 cents 886.654971 7: 983.769 cents 983.768672 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 216.2313 cents 216.2313 1: 136.1586 cents 136.1586 2: 144.5283 cents 144.5283 3: 190.9002 cents 190.9002 4: 165.9769 cents 165.9769 5: 145.9904 cents 145.9904 6: 103.1006 cents 103.1006 7: 97.1137 cents 97.1137 8: 216.2313 cents 216.2313
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 97.11370 cents 1: 1 103.10055 cents 1: 1 136.15864 cents 1: 1 144.52829 cents 1: 1 145.99043 cents 1: 1 165.97692 cents 1: 1 190.90015 cents 1: 1 216.23133 cents 2: 1 200.21425 cents 2: 1 249.09098 cents 2: 1 280.68692 cents 2: 1 311.96734 cents 2: 1 313.34503 cents 2: 1 335.42844 cents 2: 1 352.38996 cents 2: 1 356.87707 cents 3: 1 346.20468 cents 3: 1 415.06789 cents 3: 1 416.44558 cents 3: 1 449.50366 cents 3: 1 471.58708 cents 3: 1 496.91825 cents 3: 1 501.40536 cents 3: 1 502.86750 cents 4: 1 512.18160 cents 4: 1 552.60421 cents 4: 1 562.43601 cents 4: 1 594.03195 cents 4: 1 605.96805 cents 4: 1 637.56399 cents 4: 1 647.39579 cents 4: 1 687.81840 cents 5: 1 697.13250 cents 5: 1 698.59464 cents 5: 1 703.08175 cents 5: 1 728.41292 cents 5: 1 750.49634 cents 5: 1 783.55442 cents 5: 1 784.93211 cents 5: 1 853.79532 cents 6: 1 843.12293 cents 6: 1 847.61004 cents 6: 1 864.57156 cents 6: 1 886.65497 cents 6: 1 888.03266 cents 6: 1 919.31308 cents 6: 1 950.90902 cents 6: 1 999.78575 cents 7: 1 983.76867 cents 7: 1 1009.09985 cents 7: 1 1034.02308 cents 7: 1 1054.00957 cents 7: 1 1055.47171 cents 7: 1 1063.84136 cents 7: 1 1096.89945 cents 7: 1 1102.88630 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 : 136.2 280.7 471.6 637.6 783.6 886.7 983.8 1200.0 136.2 : 144.5 335.4 501.4 647.4 750.5 847.6 1063.8 1200.0 280.7 : 190.9 356.9 502.9 606.0 703.1 919.3 1055.5 1200.0 471.6 : 166.0 312.0 415.1 512.2 728.4 864.6 1009.1 1200.0 637.6 : 146.0 249.1 346.2 562.4 698.6 843.1 1034.0 1200.0 783.6 : 103.1 200.2 416.4 552.6 697.1 888.0 1054.0 1200.0 886.7 : 97.1 313.3 449.5 594.0 784.9 950.9 1096.9 1200.0 983.8 : 216.2 352.4 496.9 687.8 853.8 999.8 1102.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 97.1137 .. 216.2313 cents 119.11763 cents 97.11370 cents 2: 200.2143 .. 356.8771 cents 156.66282 cents -16.01708 cents 3: 346.2047 .. 502.8675 cents 156.66282 cents -10.67239 cents 4: 512.1816 .. 687.8184 cents 175.63681 cents 9.31410 cents 5: 697.1325 .. 853.7953 cents 156.66282 cents 9.31410 cents 6: 843.1229 .. 999.7857 cents 156.66282 cents -10.67239 cents 7: 983.7687 .. 1102.8863 cents 119.11763 cents -16.01708 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 97.11370 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 216.23133 cents Average / Smallest step : 1.544581 Largest / Average step : 1.441542 Largest / Smallest step : 2.226579 Median interval of one step : 145.25936 cents, amount: 0 Least squares average step : 148.95408 cents, oct.: 1191.63264 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : CDGFEBAH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.18529 cents Scale diversity : 1.630925 Lumma stability : 0.177380 Lumma impropriety factor : 0.044482 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 : 1.37768 cents Number of recognisable fifths : 4, average 696.6568 cents Number of appreciable fifths : 3, average 699.6030 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 31.8830 c. M:-66.2313 c. 9: 1 1 2 1 1 1 0 2 N SD: 35.1019 c. M:-61.7463 c. 10: 1 1 2 1 1 1 1 2 P D3 S SD: 35.6706 c. M: 63.5544 c. 11: 1 1 2 2 1 1 1 2 N D3 SD: 29.0756 c. M: 62.5051 c. 12: 1 2 2 1 2 1 1 2 P D3 S SD: 24.0073 c. M: 37.5640 c. 15: 2 2 2 2 2 1 1 3 N SD: 19.5906 c. M:-39.3131 c. 16: 2 2 2 3 1 2 1 3 N T3 SD: 21.8315 c. M:-37.4360 c. 17: 2 2 3 2 2 2 1 3 P SD: 14.0151 c. M:-30.9921 c. 18: 2 2 3 3 2 1 2 3 N SD: 15.8476 c. M:-29.1027 c. 20: 2 3 3 3 2 2 1 4 N SD: 15.6681 c. M: 23.7687 c. 23: 3 2 4 3 3 2 2 4 P SD: 11.1857 c. M:-20.3631 c. 26: 3 3 4 4 3 2 2 5 N SD: 7.9169 c. M: 14.5379 c. 34: 4 4 5 5 4 3 3 6 P SD: 5.9650 c. M: 12.7635 c. 38: 4 5 6 5 5 3 3 7 N SD: 5.1693 c. M: 9.8428 c. 43: 5 5 7 6 5 4 3 8 N SD: 4.1087 c. M: 7.0245 c. 61: 7 7 10 8 8 5 5 11 N SD: 3.6834 c. M: 8.0558 c. 69: 8 8 11 10 8 6 6 12 N SD: 3.7342 c. M:-7.5357 c. 72: 8 9 11 10 9 6 6 13 N SD: 2.9233 c. M: 4.9204 c. 77: 9 9 12 11 9 7 6 14 N SD: 2.7516 c. M: 4.3336 c. 81: 9 10 13 11 10 7 6 15 N SD: 2.7069 c. M: 5.9909 c. 89: 10 11 14 12 11 8 7 16 N SD: 2.1163 c. M: 3.8561 c. 104: 12 12 17 14 13 9 8 19 N SD: 2.3391 c. M: 3.7638 c. 107: 12 13 17 15 13 9 9 19 N SD: 1.5141 c. M:-3.1472 c. 115: 13 14 18 16 14 10 9 21 N SD: 1.4110 c. M: 2.8991 c. 150: 17 18 24 21 18 13 12 27 N SD: 1.0406 c. M:-2.4360 c. 168: 19 20 27 23 21 14 14 30 N SD: 1.4771 c. M:-2.1599 c. 184: 21 22 29 26 22 16 15 33 N SD: 1.0756 c. M: 2.0219 c. 188: 21 23 30 26 23 16 15 34 N SD: 1.0594 c. M: 2.1161 c. 196: 22 24 31 27 24 17 16 35 N SD: 1.0466 c. M:-1.9456 c. 211: 24 25 34 29 26 18 17 38 N SD: 0.9138 c. M: 2.0139 c. 218: 25 26 35 30 26 19 18 39 N SD: 1.2516 c. M: 1.9030 c. 222: 25 27 35 31 27 19 18 40 N SD: 0.6218 c. M: 1.3168 c. 265: 30 32 42 37 32 23 21 48 N SD: 0.6581 c. M: 1.1272 c. 311: 35 38 49 43 38 27 25 56 N SD: 0.7494 c. M: 1.1104 c. 326: 37 39 52 45 40 28 26 59 N SD: 0.6094 c. M: 0.9466 c. 371: 42 45 59 51 45 32 30 67 N SD: 0.5249 c. M: 0.8051 c. 433: 49 52 69 60 53 37 35 78 N SD: 0.4408 c. M: 0.7793 c. 478: 54 58 76 66 58 41 39 86 N SD: 0.3789 c. M: 0.5938 c. 521: 59 63 83 72 63 45 42 94 N SD: 0.3507 c. M:-0.5818 c. 582: 66 70 93 80 71 50 47 105 N SD: 0.2944 c. M:-0.5779 c. 616: 70 74 98 85 75 53 50 111 N SD: 0.2905 c. M: 0.5510 c. 659: 75 79 105 91 80 57 53 119 N SD: 0.3221 c. M: 0.5499 c. 662: 75 80 105 92 80 57 54 119 N SD: 0.3561 c. M:-0.5214 c. 677: 77 81 108 94 82 58 55 122 N SD: 0.3483 c. M: 0.6278 c. 689: 78 83 110 95 84 59 56 124 N SD: 0.2449 c. M:-0.4013 c. 723: 82 87 115 100 88 62 59 130 N SD: 0.2485 c. M:-0.4637 c. 766: 87 92 122 106 93 66 62 138 N SD: 0.1442 c. M: 0.2692 c. 804: 91 97 128 111 98 69 65 145 N SD: 0.1700 c. M: 0.3377 c. 954: 108 115 152 132 116 82 77 172 N SD: 0.1634 c. M: 0.3096 c. 988: 112 119 157 137 120 85 80 178 N SD: 0.1473 c. M: 0.3320 c. 1031: 117 124 164 143 125 89 83 186 N SD: 0.2027 c. M:-0.2634 c. 1069: 121 129 170 148 130 92 86 193 N SD: 0.2026 c. M: 0.4197 c. 1099: 125 132 175 152 134 94 89 198 N SD: 0.2017 c. M:-0.4310 c. 1137: 129 137 181 157 138 98 92 205 N SD: 0.1830 c. M: 0.4410 c. 1188: 135 143 189 164 145 102 96 214 N SD: 0.1736 c. M:-0.2840 c. 1214: 138 146 193 168 148 104 98 219 N SD: 0.1663 c. M:-0.3006 c. 1244: 141 150 198 172 151 107 101 224 N SD: 0.1429 c. M: 0.2747 c. 1410: 160 170 224 195 172 121 114 254 N SD: 0.1385 c. M:-0.2754 c. 1455: 165 175 232 201 177 125 118 262 N SD: 0.1313 c. M: 0.2746 c. 1470: 167 177 234 203 179 126 119 265 N SD: 0.1352 c. M:-0.2497 c. 1489: 169 179 237 206 181 128 121 268 N SD: 0.1614 c. M:-0.2474 c. 1498: 170 180 239 207 182 129 121 270 N SD: 0.1566 c. M: 0.3131 c. 1504: 171 181 239 208 183 129 122 271 N SD: 0.1414 c. M:-0.2775 c. 1509: 171 182 240 209 183 130 122 272 N SD: 0.1349 c. M: 0.2542 c. 1525: 173 184 242 211 186 131 123 275 N SD: 0.1714 c. M: 0.2428 c. 1527: 173 184 243 211 186 131 124 275 N SD: 0.1520 c. M: 0.2359 c. 1570: 178 189 250 217 191 135 127 283 N SD: 0.0970 c. M: 0.1774 c. 1692: 192 204 269 234 206 145 137 305 N SD: 0.0942 c. M:-0.1641 c. 1937: 220 233 308 268 236 166 157 349 N SD: 0.1002 c. M: 0.1364 c. 1954: 222 235 311 270 238 168 158 352 N SD: 0.0967 c. M:-0.1771 c. 2087: 237 251 332 289 254 179 169 376 N SD: 0.0909 c. M:-0.1543 c. 2176: 247 262 346 301 265 187 176 392 N SD: 0.0670 c. M:-0.1097 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: 32.1955 cents 3 x x 4 x x 5 x 6 S SD: 8.8525 cents 4 x x 5:6 x x 7:8 S SD: 26.9734 cents 5 x 6 x 7:8 x 9:10 S SD: 15.8805 cents 6 x 7:8:9 x 10:11:12 S SD: 16.1116 cents 7 x 8:9:10:11:12 x 14 S SD: 13.2791 cents 8:9 x 11:12 x 13:14:16 SD: 22.0129 cents 9:10:11:12:13:14:15:16:18 S SD: 11.0367 cents 11:12:13:14:16:17:18:19:22 SD: 10.3059 cents 12:13:14:16:17:19:20:21:24 SD: 6.2049 cents 16:17:19:21:23:25:27:28:32 SD: 5.6671 cents 21:23:25:28:30:33:35:37:42 SD: 5.6217 cents 22:24:26:29:32:35:37:39:44 SD: 4.1357 cents 23:25:27:30:33:36:38:41:46 SD: 4.0014 cents 29:31:34:38:42:46:48:51:58 SD: 3.8686 cents 33:36:39:43:48:52:55:58:66 SD: 3.2078 cents 34:37:40:45:49:53:57:60:68 SD: 3.0697 cents 35:38:41:46:51:55:58:62:70 SD: 2.7287 cents 38:41:45:50:55:60:63:67:76 SD: 2.4084 cents 39:42:46:51:56:61:65:69:78 SD: 2.4040 cents 45:49:53:59:65:71:75:79:90 SD: 2.0589 cents 47:51:55:62:68:74:78:83:94 SD: 2.0423 cents 51:55:60:67:74:80:85:90:102 SD: 1.2536 cents 61:66:72:80:88:96:102:108:122 SD: 1.2216 cents 63:68:74:83:91:99:105:111:126 SD: 1.0472 cents 85:92:100:112:123:134:142:150:170 SD: 1.0080 cents 96:104:113:126:139:151:160:169:192 SD: 0.8538 cents 108:117:127:142:156:170:180:191:216 SD: 0.6986 cents 112:121:132:147:162:176:187:198:224 SD: 0.6964 cents 124:134:146:163:179:195:207:219:248 SD: 0.5080 cents 159:172:187:209:230:250:265:281:318 SD: 0.4886 cents 182:197:214:239:263:286:304:321:364 SD: 0.3164 cents 256:277:301:336:370:403:427:452:512 SD: 0.3065 cents 272:294:320:357:393:428:454:480:544 SD: 0.2908 cents 278:301:327:365:402:437:464:491:556 SD: 0.2655 cents 290:314:341:381:419:456:484:512:580 SD: 0.2324 cents 341:369:401:448:493:536:569:602:682 SD: 0.1706 cents 393:425:462:516:568:618:656:694:786 SD: 0.1542 cents 438:474:515:575:633:689:731:773:876 SD: 0.1415 cents 489:529:575:642:707:769:816:863:978 SD: 0.1121 cents 562:608:661:738:812:884:938:992:1124 SD: 0.1034 cents