Scala analysis: CD07_03_Egypt
Hymne des paysans - Les Bédouins du Fayyûm (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 149.813 cents 149.812946 2: 251.366 cents 251.365843 3: 461.638 cents 461.638278 4: 597.284 cents 597.284211 5: 716.903 cents 716.903258 6: 759.916 cents 759.915789 7: 852.877 cents 852.877431 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 347.1226 cents 347.1226 1: 149.8129 cents 149.8129 2: 101.5529 cents 101.5529 3: 210.2724 cents 210.2724 4: 135.6459 cents 135.6459 5: 119.6190 cents 119.6190 6: 43.0125 cents 43.0125 7: 92.9616 cents 92.9616 8: 347.1226 cents 347.1226
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 43.01253 cents 1: 1 92.96164 cents 1: 1 101.55290 cents 1: 1 119.61905 cents 1: 1 135.64593 cents 1: 1 149.81295 cents 1: 1 210.27244 cents 1: 1 347.12257 cents 2: 1 135.97417 cents 2: 1 162.63158 cents 2: 1 251.36584 cents 2: 1 255.26498 cents 2: 1 311.82533 cents 2: 1 345.91837 cents 2: 1 440.08421 cents 2: 1 496.93551 cents 3: 1 255.59322 cents 3: 1 298.27751 cents 3: 1 447.47127 cents 3: 1 461.63828 cents 3: 1 465.53742 cents 3: 1 483.09674 cents 3: 1 589.89716 cents 3: 1 598.48841 cents 4: 1 391.23915 cents 4: 1 508.54995 cents 4: 1 567.09031 cents 4: 1 597.28421 cents 4: 1 602.71579 cents 4: 1 632.90969 cents 4: 1 691.45005 cents 4: 1 808.76085 cents 5: 1 601.51159 cents 5: 1 610.10284 cents 5: 1 716.90326 cents 5: 1 734.46258 cents 5: 1 738.36172 cents 5: 1 752.52873 cents 5: 1 901.72249 cents 5: 1 944.40678 cents 6: 1 703.06449 cents 6: 1 759.91579 cents 6: 1 854.08163 cents 6: 1 888.17467 cents 6: 1 944.73502 cents 6: 1 948.63416 cents 6: 1 1037.36842 cents 6: 1 1064.02583 cents 7: 1 852.87743 cents 7: 1 989.72757 cents 7: 1 1050.18705 cents 7: 1 1064.35407 cents 7: 1 1080.38095 cents 7: 1 1098.44710 cents 7: 1 1107.03836 cents 7: 1 1156.98747 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 : 149.8 251.4 461.6 597.3 716.9 759.9 852.9 1200.0 149.8 : 101.6 311.8 447.5 567.1 610.1 703.1 1050.2 1200.0 251.4 : 210.3 345.9 465.5 508.5 601.5 948.6 1098.4 1200.0 461.6 : 135.6 255.3 298.3 391.2 738.4 888.2 989.7 1200.0 597.3 : 119.6 162.6 255.6 602.7 752.5 854.1 1064.4 1200.0 716.9 : 43.0 136.0 483.1 632.9 734.5 944.7 1080.4 1200.0 759.9 : 93.0 440.1 589.9 691.5 901.7 1037.4 1157.0 1200.0 852.9 : 347.1 496.9 598.5 808.8 944.4 1064.0 1107.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 43.0125 .. 347.1226 cents 304.11004 cents 43.01253 cents 2: 135.9742 .. 496.9355 cents 360.96134 cents -211.14840 cents 3: 255.5932 .. 598.4884 cents 342.89519 cents -241.34229 cents 4: 391.2392 .. 808.7608 cents 417.52169 cents -207.24926 cents 5: 601.5116 .. 944.4068 cents 342.89519 cents -207.24926 cents 6: 703.0645 .. 1064.0258 cents 360.96134 cents -241.34229 cents 7: 852.8774 .. 1156.9875 cents 304.11004 cents -211.14840 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 43.01253 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 347.12257 cents Average / Smallest step : 3.487356 Largest / Average step : 2.314150 Largest / Smallest step : 8.070266 Median interval of one step : 127.63249 cents, amount: 0 Least squares average step : 137.94485 cents, oct.: 1103.55880 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : FCGEDABH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.32824 cents Scale diversity : 1.683060 Lumma stability : 0.071688 Lumma impropriety factor : 0.770857 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 : 0.32824 cents Number of recognisable fifths : 3, average 703.8059 cents Number of appreciable fifths : 2, average 697.2573 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 0 1 2 N T3 SD: 27.2084 c. M:-48.6342 c. 10: 1 1 2 1 1 0 1 3 N SD: 19.7839 c. M: 39.9158 c. 14: 2 1 2 2 1 1 1 4 N SD: 18.4557 c. M: 33.0668 c. 16: 2 1 3 2 1 1 1 5 N SD: 20.8248 c. M: 41.9033 c. 18: 2 2 3 2 2 0 2 5 N SD: 14.5991 c. M: 26.5825 c. 22: 3 2 4 2 2 1 2 6 N SD: 15.7339 c. M:-29.2708 c. 23: 3 2 4 2 3 1 1 7 N SD: 14.8739 c. M: 23.3712 c. 24: 3 2 4 3 2 1 2 7 N SD: 8.1934 c. M: 16.9033 c. 32: 4 3 5 4 3 1 3 9 N SD: 7.7228 c. M: 11.6383 c. 34: 4 3 6 4 3 1 3 10 N SD: 8.7672 c. M: 18.7393 c. 38: 5 3 7 4 4 1 3 11 N SD: 6.2464 c. M:-12.0459 c. 42: 5 4 7 5 4 2 3 12 N SD: 5.7764 c. M:-11.5128 c. 47: 6 4 8 5 5 2 3 14 N SD: 5.9101 c. M: 10.3242 c. 49: 6 4 9 5 5 2 4 14 N SD: 5.2197 c. M: 9.5291 c. 52: 6 5 9 6 5 2 4 15 N SD: 4.3051 c. M: 11.3514 c. 54: 7 4 10 6 5 2 4 16 N SD: 5.4454 c. M: 8.4330 c. 55: 7 5 9 6 6 2 4 16 N SD: 5.2930 c. M:-10.4523 c. 57: 7 5 10 6 6 2 4 17 N SD: 4.9022 c. M: 10.7722 c. 58: 7 5 10 7 6 2 4 17 N SD: 4.8538 c. M:-7.2347 c. 60: 8 5 10 7 6 2 5 17 N SD: 5.5758 c. M:-10.1871 c. 62: 8 5 11 7 6 2 5 18 N SD: 2.9358 c. M: 5.0771 c. 80: 10 7 14 9 8 3 6 23 N SD: 2.9971 c. M:-5.0842 c. 90: 11 8 16 10 9 3 7 26 N SD: 2.6513 c. M:-5.0284 c. 96: 12 8 17 11 9 4 7 28 N SD: 2.3549 c. M: 4.4033 c. 99: 12 9 17 11 10 4 7 29 N SD: 3.1138 c. M: 4.3926 c. 101: 13 8 18 11 10 4 8 29 N SD: 2.7723 c. M:-4.6425 c. 104: 13 9 18 12 10 4 8 30 N SD: 1.5593 c. M:-2.7158 c. 153: 19 13 27 17 15 6 12 44 N SD: 1.5169 c. M: 3.1778 c. 159: 20 13 28 18 16 6 12 46 N SD: 1.3621 c. M:-2.3484 c. 167: 21 14 29 19 17 6 13 48 N SD: 1.4055 c. M:-2.2124 c. 169: 21 14 30 19 17 6 13 49 N SD: 1.1198 c. M: 2.8451 c. 177: 22 15 31 20 18 6 14 51 N SD: 0.9204 c. M:-1.7408 c. 239: 30 20 42 27 24 8 19 69 N SD: 0.8383 c. M: 1.7568 c. 249: 31 21 44 28 25 9 19 72 N SD: 0.8366 c. M:-1.5300 c. 273: 34 23 48 31 27 10 21 79 N SD: 0.4393 c. M: 0.8164 c. 450: 56 38 79 51 45 16 35 130 N SD: 0.3896 c. M: 0.6992 c. 502: 63 42 88 57 50 18 39 145 N SD: 0.4046 c. M:-0.7847 c. 512: 64 43 90 58 51 18 40 148 N SD: 0.3457 c. M: 0.5846 c. 554: 69 47 97 63 55 20 43 160 N SD: 0.3460 c. M:-0.5522 c. 559: 70 47 98 63 56 20 43 162 N SD: 0.3414 c. M: 0.6413 c. 611: 76 52 107 69 61 22 47 177 N SD: 0.2838 c. M: 0.5494 c. 663: 83 56 116 75 66 24 51 192 N SD: 0.2438 c. M:-0.4133 c. 673: 84 57 118 76 67 24 52 195 N SD: 0.2470 c. M: 0.5743 c. 777: 97 66 136 88 77 28 60 225 N SD: 0.2615 c. M:-0.3992 c. 832: 104 70 146 94 83 30 64 241 N SD: 0.2499 c. M: 0.4736 c. 840: 105 71 147 95 84 30 65 243 N SD: 0.1448 c. M:-0.2396 c. 954: 119 81 167 108 95 34 74 276 N SD: 0.1300 c. M:-0.2065 c. 1113: 139 94 195 126 111 40 86 322 N SD: 0.1146 c. M:-0.1920 c. 1456: 182 123 255 165 145 52 113 421 N SD: 0.1335 c. M:-0.2433 c. 1513: 189 128 265 171 151 54 117 438 N SD: 0.1141 c. M: 0.2667 c. 1666: 208 141 292 188 166 60 129 482 N SD: 0.1014 c. M: 0.2166 c. 1786: 223 151 313 202 178 64 138 517 N SD: 0.0936 c. M: 0.2459 c. 1794: 224 152 314 203 179 64 139 519 N SD: 0.0856 c. M:-0.1536 c. 1843: 230 156 323 208 184 66 143 533 N SD: 0.0882 c. M: 0.2142 c. 1947: 243 165 341 220 194 70 151 563 N SD: 0.0736 c. M:-0.1272 c. 2067: 258 175 362 234 206 74 160 598 N SD: 0.0620 c. M:-0.1033 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: 7.4741 cents 3 x x 4 x x x 5:6 S SD: 16.0434 cents 4 x x 5 x 6 x 7:8 S SD: 34.7682 cents 5 x 6 x 7 x x 8:10 S SD: 19.1792 cents 6 x 7:8 x 9 x 10:12 S SD: 10.5459 cents 7 x 8:9:10 x 11 x 14 SD: 9.0127 cents 8 x 9:10:11:12 x 13:16 SD: 17.0087 cents 9:10 x 12:13 x 14:15:18 S SD: 11.7270 cents 10:11:12:13:14:15 x 16:20 S SD: 11.4240 cents 11:12:13:14:16 x 17:18:22 SD: 11.1223 cents 12:13:14:16:17:18:19:20:24 S SD: 8.1103 cents 13:14:15:17:18 x 20:21:26 SD: 6.9174 cents 15:16:17:20:21 x 23:25:30 SD: 10.6752 cents 16:17:19:21:23:24:25:26:32 SD: 9.4566 cents 17:19:20:22:24:26 x 28:34 SD: 8.3659 cents 18:20:21:24:25:27:28:29:36 SD: 8.3225 cents 19:21:22:25:27:29 x 31:38 SD: 4.7782 cents 20:22:23:26:28:30:31:33:40 SD: 3.9838 cents 31:34:36:40:44:47:48:51:62 SD: 3.4385 cents 32:35:37:42:45:48:50:52:64 SD: 3.3057 cents 33:36:38:43:47:50:51:54:66 SD: 2.2775 cents 45:49:52:59:64:68:70:74:90 SD: 2.2149 cents 46:50:53:60:65:70:71:75:92 SD: 2.1152 cents 53:58:61:69:75:80:82:87:106 SD: 1.7843 cents 56:61:65:73:79:85:87:92:112 SD: 1.4715 cents 58:63:67:76:82:88:90:95:116 SD: 1.3537 cents 76:83:88:99:107:115:118:124:152 SD: 1.1583 cents 78:85:90:102:110:118:121:128:156 SD: 0.8675 cents 102:111:118:133:144:154:158:167:204 SD: 0.7566 cents 109:119:126:142:154:165:169:178:218 SD: 0.7483 cents 121:132:140:158:171:183:188:198:242 SD: 0.4610 cents 167:182:193:218:236:253:259:273:334 SD: 0.4479 cents 187:204:216:244:264:283:290:306:374 SD: 0.2879 cents 308:336:356:402:435:466:478:504:616 SD: 0.2002 cents 396:432:458:517:559:599:614:648:792 SD: 0.1663 cents 454:495:525:593:641:687:704:743:908 SD: 0.1205 cents 575:627:665:751:812:870:892:941:1150 SD: 0.1064 cents