Scala analysis: CD02_14_Egypt
Hé ! une beauté qui apparaît ! / Toi qui a une taille fine - Darwîsh Muhammad al-Harîrî (awj, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 147.444 cents 147.443930 2: 335.515 cents 335.514680 3: 474.928 cents 474.927815 4: 632.743 cents 632.743356 5: 830.159 cents 830.159433 6: 1044.406 cents 1044.406336 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 155.5937 cents 155.5937 1: 147.4439 cents 147.4439 2: 188.0708 cents 188.0708 3: 139.4131 cents 139.4131 4: 157.8155 cents 157.8155 5: 197.4161 cents 197.4161 6: 214.2469 cents 214.2469 7: 155.5937 cents 155.5937
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 139.41313 cents 1: 1 147.44393 cents 1: 1 155.59366 cents 1: 1 157.81554 cents 1: 1 188.07075 cents 1: 1 197.41608 cents 1: 1 214.24690 cents 2: 1 297.22868 cents 2: 1 303.03759 cents 2: 1 327.48389 cents 2: 1 335.51468 cents 2: 1 355.23162 cents 2: 1 369.84057 cents 2: 1 411.66298 cents 3: 1 474.92781 cents 3: 1 485.29943 cents 3: 1 491.10834 cents 3: 1 494.64475 cents 3: 1 517.28450 cents 3: 1 567.25664 cents 3: 1 569.47852 cents 4: 1 630.52148 cents 4: 1 632.74336 cents 4: 1 682.71550 cents 4: 1 705.35525 cents 4: 1 708.89166 cents 4: 1 714.70057 cents 4: 1 725.07219 cents 5: 1 788.33702 cents 5: 1 830.15943 cents 5: 1 844.76838 cents 5: 1 864.48532 cents 5: 1 872.51612 cents 5: 1 896.96241 cents 5: 1 902.77132 cents 6: 1 985.75310 cents 6: 1 1002.58392 cents 6: 1 1011.92925 cents 6: 1 1042.18446 cents 6: 1 1044.40634 cents 6: 1 1052.55607 cents 6: 1 1060.58687 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 : 147.4 335.5 474.9 632.7 830.2 1044.4 1200.0 147.4 : 188.1 327.5 485.3 682.7 897.0 1052.6 1200.0 335.5 : 139.4 297.2 494.6 708.9 864.5 1011.9 1200.0 474.9 : 157.8 355.2 569.5 725.1 872.5 1060.6 1200.0 632.7 : 197.4 411.7 567.3 714.7 902.8 1042.2 1200.0 830.2 : 214.2 369.8 517.3 705.4 844.8 1002.6 1200.0 1044.4: 155.6 303.0 491.1 630.5 788.3 985.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 139.4131 .. 214.2469 cents 74.83377 cents 139.41313 cents 2: 297.2287 .. 411.6630 cents 114.43430 cents 82.98177 cents 3: 474.9278 .. 569.4785 cents 94.55071 cents 63.26483 cents 4: 630.5215 .. 725.0722 cents 94.55071 cents 61.04296 cents 5: 788.3370 .. 902.7713 cents 114.43430 cents 63.26483 cents 6: 985.7531 .. 1060.5869 cents 74.83377 cents 82.98177 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 139.41313 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 214.24690 cents Average / Smallest step : 1.229644 Largest / Average step : 1.249774 Largest / Smallest step : 1.536777 Median interval of one step : 157.81554 cents, amount: 1 Least squares average step : 168.51047 cents, oct.: 1179.57327 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : BEADFGC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 61.04296 cents Scale diversity : 1.487609 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.526969 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 : 2.22188 cents Number of recognisable fifths : 3, average 709.6492 cents Number of appreciable fifths : 2, average 707.1235 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% Limited inverse transpositions with margin 94.5507 cents: 3 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 29.1866 c. M:-52.9709 c. Lebeng 10: 1 2 1 1 2 2 1 P D3 S SD: 23.3431 c. M:-35.5937 c. 13: 2 2 1 2 2 2 2 SP M ME S SD: 23.0535 c. M:-37.1715 c. Oukranian 15: 2 2 2 2 2 3 2 SP M ME S SD: 14.1712 c. M: 30.1594 c. 17: 2 3 2 2 3 3 2 SP D3 S SD: 13.1538 c. M:-19.1898 c. Dastgah-e Sehgah 23: 3 3 3 3 4 4 3 SP D3 S SD: 9.8754 c. M: 22.4712 c. 25: 3 4 3 3 4 5 3 SP SD: 8.0105 c. M: 14.1594 c. 32: 4 5 4 4 5 6 4 SP SD: 5.9650 c. M:-12.5722 c. 38: 5 6 4 5 6 7 5 SP SD: 6.9781 c. M:-11.8537 c. 40: 5 6 5 5 7 7 5 SP S SD: 5.3228 c. M:-9.8406 c. 46: 6 7 5 6 8 8 6 SP SD: 5.2206 c. M:-9.0778 c. 51: 6 8 6 7 8 9 7 SP SD: 5.7178 c. M: 9.1122 c. 53: 7 8 6 7 9 9 7 SP SD: 5.4311 c. M:-11.0466 c. 55: 7 8 7 7 9 10 7 SP SD: 4.3248 c. M: 8.2420 c. 61: 7 10 7 8 10 11 8 SP SD: 4.3580 c. M: 9.7390 c. 63: 8 10 7 8 11 11 8 SP SD: 4.9365 c. M:-7.9358 c. 64: 8 10 7 9 10 12 8 SP SD: 4.2958 c. M: 6.1778 c. 65: 8 10 8 8 11 12 8 SP SD: 4.2154 c. M:-7.9014 c. 68: 8 11 8 9 11 12 9 SP SD: 2.9083 c. M: 6.2675 c. 78: 10 12 9 10 13 14 10 SP SD: 2.9514 c. M:-6.4022 c. 79: 10 12 9 11 13 14 10 SP SD: 3.9080 c. M:-5.2836 c. 81: 10 13 9 11 13 15 10 SP SD: 3.8301 c. M:-7.4455 c. 83: 10 13 10 11 13 15 11 SP SD: 3.4237 c. M: 6.0630 c. 84: 10 13 10 11 14 15 11 SP SD: 3.8511 c. M: 6.9433 c. 87: 11 13 10 12 14 16 11 SP SD: 3.7524 c. M: 5.9623 c. 89: 11 14 10 12 15 15 12 SP SD: 3.4912 c. M: 6.2041 c. 91: 11 14 11 12 15 16 12 SP SD: 2.6005 c. M: 5.8444 c. 97: 12 15 11 13 16 17 13 SP SD: 2.8998 c. M: 5.2311 c. 98: 12 15 12 13 16 17 13 SP SD: 3.0754 c. M: 4.9024 c. 100: 12 16 12 13 16 18 13 SP SD: 2.7583 c. M:-5.0722 c. 101: 12 16 12 13 17 18 13 SP SD: 2.5284 c. M: 4.8697 c. 103: 13 16 12 13 17 19 13 SP SD: 3.1211 c. M:-4.1374 c. 104: 13 16 12 14 17 19 13 SP SD: 2.5616 c. M:-5.5937 c. 106: 13 17 12 14 17 19 14 SP SD: 2.4244 c. M:-4.1080 c. 107: 13 17 12 14 18 19 14 SP SD: 2.4789 c. M: 4.7060 c. 108: 13 17 13 14 18 19 14 SP SD: 2.1481 c. M:-3.1739 c. 114: 14 18 13 15 19 20 15 SP SD: 1.3082 c. M: 2.3011 c. 129: 16 20 15 17 21 23 17 SP SD: 1.4237 c. M: 2.5459 c. 139: 17 22 16 18 23 25 18 SP SD: 1.2070 c. M: 2.5275 c. 146: 18 23 17 19 24 26 19 SP SD: 0.9216 c. M:-1.7845 c. 210: 26 33 24 28 34 38 27 SP SD: 1.2505 c. M:-1.6282 c. 214: 26 34 25 28 35 38 28 SP SD: 1.1582 c. M:-1.7077 c. 218: 27 34 25 29 36 39 28 SP SD: 1.0077 c. M: 1.5333 c. 230: 28 36 27 30 38 41 30 SP SD: 1.0497 c. M: 1.6016 c. 237: 29 37 28 31 39 42 31 SP SD: 0.8579 c. M: 1.3684 c. 260: 32 41 30 34 43 46 34 SP SD: 0.8091 c. M:-1.4084 c. 283: 35 44 33 37 47 50 37 SP SD: 0.8159 c. M: 1.2968 c. 285: 35 45 33 37 47 51 37 SP SD: 0.7905 c. M:-1.3274 c. 286: 35 45 33 38 47 51 37 SP SD: 0.5588 c. M:-0.8231 c. 318: 39 50 37 42 52 57 41 SP SD: 0.6254 c. M:-1.2189 c. 364: 45 57 42 48 60 65 47 SP SD: 0.5693 c. M:-0.9077 c. 400: 49 63 46 53 66 71 52 SP SD: 0.5645 c. M: 0.9278 c. 415: 51 65 48 55 68 74 54 SP SD: 0.4064 c. M: 0.7109 c. 425: 52 67 49 56 70 76 55 SP SD: 0.3994 c. M: 0.6204 c. 432: 53 68 50 57 71 77 56 SP SD: 0.3618 c. M:-0.5964 c. 455: 56 71 53 60 75 81 59 SP SD: 0.3483 c. M:-0.6098 c. 480: 59 75 56 63 79 86 62 SP SD: 0.3186 c. M:-0.5937 c. 554: 68 87 64 73 91 99 72 SP SD: 0.3570 c. M: 0.5596 c. 561: 69 88 65 74 92 100 73 SP SD: 0.3045 c. M: 0.5561 c. 594: 73 93 69 78 98 106 77 SP SD: 0.1920 c. M: 0.4201 c. 740: 91 116 86 97 122 132 96 SP SD: 0.1690 c. M: 0.3109 c. 912: 112 143 106 120 150 163 118 SP SD: 0.1483 c. M:-0.3305 c. 1026: 126 161 119 135 169 183 133 SP SD: 0.1195 c. M:-0.2499 c. 1041: 128 163 121 137 171 186 135 SP SD: 0.0957 c. M: 0.1883 c. 1466: 180 230 170 193 241 262 190 SP SD: 0.1022 c. M: 0.1666 c. 1473: 181 231 171 194 242 263 191 SP SD: 0.1067 c. M:-0.2505 c. 1506: 185 236 175 198 248 269 195 SP SD: 0.1008 c. M:-0.2152 c. 1612: 198 253 187 212 265 288 209 SP SD: 0.0987 c. M:-0.2173 c. 1635: 201 256 190 215 269 292 212 SP SD: 0.0680 c. M: 0.1018 c. 1781: 219 279 207 234 293 318 231 SP SD: 0.0674 c. M:-0.1136 c. 2067: 254 324 240 272 340 369 268 SP SD: 0.0333 c. M:-0.0578 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: 34.6058 cents 3 x x 4 x 5 x 6 S SD: 19.6411 cents 4 x 5 x 6 x 7:8 S SD: 28.5954 cents 5 x 6 x 7:8:9:10 S SD: 12.5032 cents 6 x 7:8:9:10:11:12 S SD: 19.0020 cents 7:8 x 9:10:11:13:14 SD: 18.1416 cents 9:10:11:12:13:15:16:18 SD: 12.1093 cents 10:11:12:13:14:16:18:20 S SD: 9.7370 cents 13:14:16:17:19:21:24:26 SD: 6.2730 cents 19:21:23:25:27:31:35:38 SD: 5.9944 cents 22:24:27:29:32:36:40:44 SD: 5.0089 cents 23:25:28:30:33:37:42:46 SD: 2.7545 cents 34:37:41:45:49:55:62:68 SD: 2.3178 cents 47:51:57:62:68:76:86:94 SD: 1.5052 cents 57:62:69:75:82:92:104:114 SD: 1.0010 cents 70:76:85:92:101:113:128:140 SD: 0.8399 cents 104:113:126:137:150:168:190:208 SD: 0.8177 cents 111:121:135:146:160:179:203:222 SD: 0.6991 cents 127:138:154:167:183:205:232:254 SD: 0.6448 cents 136:148:165:179:196:220:249:272 SD: 0.5658 cents 145:158:176:191:209:234:265:290 SD: 0.4217 cents 168:183:204:221:242:271:307:336 SD: 0.3945 cents 215:234:261:283:310:347:393:430 SD: 0.2899 cents 281:306:341:370:405:454:514:562 SD: 0.2660 cents 304:331:369:400:438:491:556:608 SD: 0.1432 cents 551:600:669:725:794:890:1007:1102 SD: 0.1022 cents