Scala analysis: CD02_19_Egypt
Lorsque mon amour en colère est apparu - Darwîsh Muhammad al-Harîrî (nayriz, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 120.884 cents 120.884086 2: 310.502 cents 310.501672 3: 466.000 cents 466.000000 4: 629.309 cents 629.308642 5: 812.407 cents 812.406957 6: 1022.590 cents 1022.589577 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 177.4104 cents 177.4104 1: 120.8841 cents 120.8841 2: 189.6176 cents 189.6176 3: 155.4983 cents 155.4983 4: 163.3086 cents 163.3086 5: 183.0983 cents 183.0983 6: 210.1826 cents 210.1826 7: 177.4104 cents 177.4104
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 120.88409 cents 1: 1 155.49833 cents 1: 1 163.30864 cents 1: 1 177.41042 cents 1: 1 183.09832 cents 1: 1 189.61759 cents 1: 1 210.18262 cents 2: 1 298.29451 cents 2: 1 310.50167 cents 2: 1 318.80697 cents 2: 1 345.11591 cents 2: 1 346.40696 cents 2: 1 387.59304 cents 2: 1 393.28094 cents 3: 1 466.00000 cents 3: 1 487.91209 cents 3: 1 501.90529 cents 3: 1 508.42456 cents 3: 1 508.47713 cents 3: 1 556.58958 cents 3: 1 570.69136 cents 4: 1 629.30864 cents 4: 1 643.41042 cents 4: 1 691.52287 cents 4: 1 691.57544 cents 4: 1 698.09471 cents 4: 1 712.08791 cents 4: 1 734.00000 cents 5: 1 806.71906 cents 5: 1 812.40696 cents 5: 1 853.59304 cents 5: 1 854.88409 cents 5: 1 881.19303 cents 5: 1 889.49833 cents 5: 1 901.70549 cents 6: 1 989.81738 cents 6: 1 1010.38241 cents 6: 1 1016.90168 cents 6: 1 1022.58958 cents 6: 1 1036.69136 cents 6: 1 1044.50167 cents 6: 1 1079.11591 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 : 120.9 310.5 466.0 629.3 812.4 1022.6 1200.0 120.9 : 189.6 345.1 508.4 691.5 901.7 1079.1 1200.0 310.5 : 155.5 318.8 501.9 712.1 889.5 1010.4 1200.0 466.0 : 163.3 346.4 556.6 734.0 854.9 1044.5 1200.0 629.3 : 183.1 393.3 570.7 691.6 881.2 1036.7 1200.0 812.4 : 210.2 387.6 508.5 698.1 853.6 1016.9 1200.0 1022.6: 177.4 298.3 487.9 643.4 806.7 989.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 120.8841 .. 210.1826 cents 89.29853 cents 120.88409 cents 2: 298.2945 .. 393.2809 cents 94.98643 cents 88.11189 cents 3: 466.0000 .. 570.6914 cents 104.69136 cents 72.71906 cents 4: 629.3086 .. 734.0000 cents 104.69136 cents 58.61728 cents 5: 806.7191 .. 901.7055 cents 94.98643 cents 72.71906 cents 6: 989.8174 .. 1079.1159 cents 89.29853 cents 88.11189 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 120.88409 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 210.18262 cents Average / Smallest step : 1.418124 Largest / Average step : 1.226065 Largest / Smallest step : 1.738712 Median interval of one step : 177.41042 cents, amount: 1 Least squares average step : 166.10496 cents, oct.: 1162.73471 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : AFBCEGD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 58.61728 cents Scale diversity : 1.522498 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.518373 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 : 0.05257 cents Number of recognisable fifths : 4, average 698.3202 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 39.9139 c. M:-56.4056 c. Lebeng 8: 1 1 1 1 1 2 1 P M ME S SD: 30.9815 c. M: 62.4070 c. 11: 1 2 1 2 1 2 2 P M ME S SD: 29.2195 c. M: 48.7706 c. 12: 1 2 1 2 2 2 2 P D3 S SD: 30.2977 c. M: 66.0000 c. Superlocrian, Altered Dominant, Diminished Whole-tone, Locrian flat 4, Pomeroy, Ravel 13: 1 2 2 2 2 2 2 SP M ME S SD: 19.4087 c. M: 33.5786 c. Zo-Kalarian 15: 2 2 2 2 2 3 2 SP M ME S SD: 18.4686 c. M:-39.1159 c. 16: 2 2 2 2 3 3 2 P D3 S SD: 20.6430 c. M: 29.3086 c. 18: 2 3 2 2 3 3 3 P D3 SD: 17.7278 c. M: 29.3086 c. 19: 2 3 2 3 3 3 3 SP D3 S SD: 11.0444 c. M: 23.8947 c. 21: 2 3 3 3 3 4 3 SP T3 SD: 11.5057 c. M: 24.7874 c. 23: 2 4 3 3 4 4 3 SP SD: 13.3095 c. M:-22.3757 c. 26: 3 4 3 4 4 4 4 SP D3 S SD: 12.8722 c. M:-18.3623 c. 27: 3 4 3 4 4 5 4 SP SD: 10.8515 c. M: 21.5556 c. 28: 3 4 4 4 4 5 4 SP T3 SD: 7.7618 c. M:-13.5485 c. 31: 3 5 4 4 5 5 5 SP SD: 7.4186 c. M: 16.1380 c. 34: 3 6 4 5 5 6 5 SP SD: 7.2183 c. M: 15.0017 c. 36: 4 5 5 5 5 7 5 SP SD: 8.8743 c. M:-12.4492 c. 38: 4 6 5 5 6 6 6 SP SD: 6.9891 c. M: 12.0633 c. 39: 4 6 5 5 6 7 6 SP SD: 7.8588 c. M: 13.9240 c. 40: 4 6 5 6 6 7 6 SP SD: 7.3683 c. M: 16.0000 c. 42: 4 7 5 6 6 8 6 SP SD: 6.8302 c. M: 12.4070 c. 46: 5 7 6 6 7 8 7 SP SD: 4.8042 c. M:-9.5507 c. 47: 5 7 6 7 7 8 7 SP SD: 5.4508 c. M:-8.9892 c. 49: 5 8 6 7 7 9 7 SP SD: 4.9819 c. M:-7.8657 c. 59: 6 9 8 8 9 10 9 SP SD: 3.1276 c. M: 5.6404 c. 69: 7 11 9 9 11 12 10 SP SD: 3.1020 c. M:-4.9843 c. 80: 8 13 10 11 12 14 12 SP SD: 2.2359 c. M:-4.4983 c. 90: 9 14 12 12 14 16 13 SP SD: 2.4022 c. M:-4.0771 c. 101: 10 16 13 14 15 18 15 SP SD: 2.2263 c. M: 4.4862 c. 108: 11 17 14 15 16 19 16 SP SD: 1.7163 c. M:-4.0247 c. 109: 11 17 14 15 17 19 16 SP SD: 2.0035 c. M: 3.6147 c. 128: 13 20 17 17 20 22 19 SP SD: 1.7761 c. M:-3.2180 c. 136: 14 21 18 18 21 24 20 SP SD: 1.7678 c. M: 2.8381 c. 139: 14 22 18 19 21 24 21 SP SD: 1.5508 c. M: 3.8845 c. 149: 15 24 19 20 23 26 22 SP SD: 1.5349 c. M:-3.5923 c. 158: 16 25 20 22 24 28 23 SP SD: 1.5666 c. M:-2.7269 c. 160: 16 25 21 22 24 28 24 SP SD: 1.8427 c. M: 3.0017 c. 162: 16 26 21 22 25 28 24 SP SD: 1.3335 c. M:-2.4079 c. 170: 17 27 22 23 26 30 25 SP SD: 0.6815 c. M: 1.0733 c. 229: 23 36 30 31 35 40 34 SP SD: 0.6419 c. M: 1.3314 c. 278: 28 44 36 38 42 49 41 SP SD: 0.5254 c. M:-0.9072 c. 309: 31 49 40 42 47 54 46 SP SD: 0.5852 c. M: 1.2304 c. 337: 34 53 44 46 51 59 50 SP SD: 0.5810 c. M:-0.9584 c. 347: 35 55 45 47 53 61 51 SP SD: 0.5942 c. M:-1.0415 c. 366: 37 58 47 50 56 64 54 SP SD: 0.5324 c. M:-0.9737 c. 378: 38 60 49 51 58 66 56 SP SD: 0.4842 c. M: 0.7372 c. 387: 39 61 50 53 59 68 57 SP SD: 0.4518 c. M: 0.8837 c. 399: 40 63 52 54 61 70 59 SP SD: 0.4756 c. M: 0.7372 c. 406: 41 64 53 55 62 71 60 SP SD: 0.4360 c. M:-0.9951 c. 418: 42 66 54 57 64 73 62 SP SD: 0.5157 c. M: 0.9282 c. 425: 43 67 55 58 65 74 63 SP SD: 0.4190 c. M:-0.7695 c. 448: 45 71 58 61 68 79 66 SP SD: 0.4185 c. M: 0.7998 c. 479: 48 76 62 65 73 84 71 SP SD: 0.4466 c. M: 0.7159 c. 486: 49 77 63 66 74 85 72 SP SD: 0.3907 c. M:-0.6667 c. 507: 51 80 66 69 77 89 75 SP SD: 0.3198 c. M: 0.5726 c. 576: 58 91 75 78 88 101 85 SP SD: 0.2903 c. M:-0.6667 c. 595: 60 94 77 81 91 104 88 SP SD: 0.1603 c. M:-0.3662 c. 765: 77 121 99 104 117 134 113 SP SD: 0.1508 c. M: 0.2890 c. 873: 88 138 113 119 133 153 129 SP SD: 0.1188 c. M:-0.2446 c. 1043: 105 165 135 142 159 183 154 SP SD: 0.1189 c. M:-0.2292 c. 1102: 111 174 143 150 168 193 163 SP SD: 0.0834 c. M: 0.1568 c. 1272: 128 201 165 173 194 223 188 SP SD: 0.0931 c. M: 0.1428 c. 1468: 148 232 190 200 224 257 217 SP SD: 0.0923 c. M:-0.1271 c. 1638: 165 259 212 223 250 287 242 SP SD: 0.0716 c. M:-0.1210 c. 1697: 171 268 220 231 259 297 251 SP SD: 0.0552 c. M:-0.0857 c. 1867: 188 295 242 254 285 327 276 SP SD: 0.0385 c. M: 0.0639 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 36.3232 cents 3 x x 4 x 5 x 6 S SD: 26.2550 cents 4 x 5 x 6 x 7:8 S SD: 29.4910 cents 5 x 6 x 7:8:9:10 S SD: 9.4718 cents 6 x 7:8:9:10:11:12 S SD: 19.7919 cents 7 x 8:9:10:11:13:14 SD: 17.2363 cents 8:9:10 x 12:13:14:16 S SD: 24.4947 cents 9:10:11:12:13:14:16:18 S SD: 13.6910 cents 10:11:12:13:14:16:18:20 S SD: 9.3986 cents 14:15:17:18:20:22:25:28 SD: 7.8276 cents 15:16:18:20:22:24:27:30 S SD: 6.8543 cents 16:17:19:21:23:26:29:32 SD: 5.1229 cents 25:27:30:33:36:40:45:50 SD: 2.9415 cents 30:32:36:39:43:48:54:60 SD: 2.5249 cents 41:44:49:54:59:66:74:82 SD: 2.3136 cents 42:45:50:55:60:67:76:84 SD: 2.2573 cents 45:48:54:59:65:72:81:90 SD: 2.0146 cents 52:56:62:68:75:83:94:104 SD: 1.6284 cents 55:59:66:72:79:88:99:110 SD: 1.0998 cents 82:88:98:107:118:131:148:164 SD: 0.8600 cents 107:115:128:140:154:171:193:214 SD: 0.6337 cents 123:132:147:161:177:197:222:246 SD: 0.5626 cents 139:149:166:182:200:222:251:278 SD: 0.5515 cents 153:164:183:200:220:245:276:306 SD: 0.5497 cents 169:181:202:221:243:270:305:338 SD: 0.4965 cents 178:191:213:233:256:285:321:356 SD: 0.4685 cents 194:208:232:254:279:310:350:388 SD: 0.2496 cents 317:340:379:415:456:507:572:634 SD: 0.2372 cents 356:382:426:466:512:569:643:712 SD: 0.2318 cents 372:399:445:487:535:595:672:744 SD: 0.2195 cents 376:403:450:492:541:601:679:752 SD: 0.2078 cents 386:414:462:505:555:617:697:772 SD: 0.2001 cents 401:430:480:525:577:641:724:802 SD: 0.1748 cents 427:458:511:559:614:683:771:854 SD: 0.1745 cents 443:475:530:580:637:708:800:886 SD: 0.1700 cents 483:518:578:632:695:772:872:966 SD: 0.1567 cents 499:535:597:653:718:798:901:998 SD: 0.1373 cents 554:594:663:725:797:886:1000:1108 SD: 0.1186 cents 596:639:713:780:857:953:1076:1192 SD: 0.1011 cents