Scala analysis: CD09_09_Egypt
Mon amour pour toi m'a fait citer en exemple / Un amour ayant enduré de la peine / Consacre-toi à Dieu - La Confrérie Laythiyya (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 196.840 cents 196.839518 2: 427.619 cents 427.619103 3: 563.630 cents 563.629522 4: 690.015 cents 690.015063 5: 922.165 cents 922.164702 6: 1050.814 cents 1050.813611 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 149.1864 cents 149.1864 1: 196.8395 cents 196.8395 2: 230.7796 cents 230.7796 3: 136.0104 cents 136.0104 4: 126.3855 cents 126.3855 5: 232.1496 cents 232.1496 6: 128.6489 cents 128.6489 7: 149.1864 cents 149.1864
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 126.38554 cents 1: 1 128.64891 cents 1: 1 136.01042 cents 1: 1 149.18639 cents 1: 1 196.83952 cents 1: 1 230.77959 cents 1: 1 232.14964 cents 2: 1 262.39596 cents 2: 1 277.83530 cents 2: 1 346.02591 cents 2: 1 358.53518 cents 2: 1 360.79855 cents 2: 1 366.79000 cents 2: 1 427.61910 cents 3: 1 474.67482 cents 3: 1 487.18409 cents 3: 1 493.17554 cents 3: 1 494.54560 cents 3: 1 509.98494 cents 3: 1 563.62952 cents 3: 1 576.80549 cents 4: 1 623.19451 cents 4: 1 636.37048 cents 4: 1 690.01506 cents 4: 1 705.45440 cents 4: 1 706.82446 cents 4: 1 712.81591 cents 4: 1 725.32518 cents 5: 1 772.38090 cents 5: 1 833.21000 cents 5: 1 839.20145 cents 5: 1 841.46482 cents 5: 1 853.97409 cents 5: 1 922.16470 cents 5: 1 937.60404 cents 6: 1 967.85036 cents 6: 1 969.22042 cents 6: 1 1003.16048 cents 6: 1 1050.81361 cents 6: 1 1063.98958 cents 6: 1 1071.35109 cents 6: 1 1073.61446 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 : 196.8 427.6 563.6 690.0 922.2 1050.8 1200.0 196.8 : 230.8 366.8 493.2 725.3 854.0 1003.2 1200.0 427.6 : 136.0 262.4 494.5 623.2 772.4 969.2 1200.0 563.6 : 126.4 358.5 487.2 636.4 833.2 1064.0 1200.0 690.0 : 232.1 360.8 510.0 706.8 937.6 1073.6 1200.0 922.2 : 128.6 277.8 474.7 705.5 841.5 967.9 1200.0 1050.8: 149.2 346.0 576.8 712.8 839.2 1071.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 126.3855 .. 232.1496 cents 105.76410 cents 126.38554 cents 2: 262.3960 .. 427.6191 cents 165.22314 cents 30.24632 cents 3: 474.6748 .. 576.8055 cents 102.13068 cents 47.05571 cents 4: 623.1945 .. 725.3252 cents 102.13068 cents 46.38902 cents 5: 772.3809 .. 937.6040 cents 165.22314 cents 47.05571 cents 6: 967.8504 .. 1073.6145 cents 105.76410 cents 30.24632 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 126.38554 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 232.14964 cents Average / Smallest step : 1.356394 Largest / Average step : 1.354206 Largest / Smallest step : 1.836837 Median interval of one step : 149.18639 cents, amount: 1 Least squares average step : 177.27666 cents, oct.: 1240.93659 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : EFCAGBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 30.24632 cents Scale diversity : 1.537992 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.378137 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 : 1.37005 cents Number of recognisable fifths : 4, average 703.7775 cents 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: 46.3005 c. M: 84.7620 c. Lebeng 8: 1 2 1 1 1 1 1 P M ME S SD: 34.0331 c. M:-59.9849 c. 9: 1 2 1 1 2 1 1 P M ME S SD: 30.7871 c. M: 63.5062 c. Pelog Saptanada: Sunda 11: 2 2 1 1 2 2 1 P D3 S SD: 29.6939 c. M: 49.4374 c. 12: 2 2 2 1 2 2 1 P M ME S SD: 27.0076 c. M:-49.1864 c. G.Hypolydian, M.Lydian, G.M.Hypolocrian, Rut biscale ascending, Kalyan That (Yaman), Mela Mecakalyani, Raga Chandrakant, Malarani, Shuddh Kalyan, Ping, Kung, Gu: China 13: 2 2 2 1 3 1 2 P D3 S SD: 31.2460 c. M: 58.3883 c. 14: 2 3 2 1 3 1 2 P T3 SD: 20.3920 c. M:-36.3705 c. 17: 3 3 2 2 3 2 2 SP D3 S SD: 9.0789 c. M:-15.8673 c. 26: 4 5 3 3 5 3 3 SP SD: 8.5852 c. M: 12.2345 c. 30: 5 6 3 3 6 3 4 P SD: 7.5439 c. M:-12.3809 c. 31: 5 6 4 3 6 3 4 SP SD: 7.8235 c. M:-17.0156 c. 36: 6 7 4 4 7 4 4 SP SD: 8.6819 c. M:-15.8531 c. 37: 6 7 4 4 7 4 5 SP SD: 9.5434 c. M: 14.0566 c. 38: 6 8 4 4 7 4 5 P SD: 7.7996 c. M:-14.4862 c. 40: 7 7 5 4 8 4 5 SP S SD: 6.9064 c. M:-13.1605 c. 42: 7 8 5 4 8 5 5 SP SD: 5.2421 c. M: 7.8790 c. 47: 8 9 5 5 9 5 6 SP SD: 4.2348 c. M:-7.4158 c. 56: 9 11 6 6 11 6 7 SP SD: 3.3497 c. M: 6.4867 c. 73: 12 14 8 8 14 8 9 SP SD: 1.9591 c. M: 4.7254 c. 87: 14 17 10 9 17 9 11 SP SD: 1.9995 c. M: 3.7361 c. 90: 15 17 10 10 17 10 11 SP SD: 2.5667 c. M: 3.6295 c. 96: 16 18 11 10 19 10 12 SP SD: 2.1762 c. M:-3.1605 c. 104: 17 20 12 11 20 11 13 SP SD: 1.2413 c. M:-2.2926 c. 151: 25 29 17 16 29 16 19 SP SD: 1.2709 c. M:-1.8360 c. 160: 26 31 18 17 31 17 20 SP SD: 0.8822 c. M: 1.8395 c. 177: 29 34 20 19 34 19 22 SP SD: 0.7015 c. M:-1.5104 c. 202: 33 39 23 21 39 22 25 SP SD: 0.7870 c. M: 1.3726 c. 256: 42 49 29 27 50 27 32 SP SD: 0.8931 c. M:-1.2728 c. 264: 43 51 30 28 51 28 33 SP SD: 0.7383 c. M: 1.3850 c. 273: 45 52 31 29 53 29 34 SP SD: 0.7904 c. M: 1.2455 c. 275: 45 53 31 29 53 30 34 SP SD: 0.7371 c. M: 1.4374 c. 298: 49 57 34 31 58 32 37 SP SD: 0.6445 c. M: 1.4245 c. 306: 50 59 35 32 59 33 38 SP SD: 0.5583 c. M:-1.0764 c. 336: 55 65 38 35 65 36 42 SP SD: 0.6806 c. M:-0.9523 c. 337: 55 65 38 36 65 36 42 SP SD: 0.6424 c. M: 1.0182 c. 353: 58 68 40 37 68 38 44 SP SD: 0.5435 c. M: 0.9182 c. 362: 59 70 41 38 70 39 45 SP SD: 0.5656 c. M: 1.2594 c. 379: 62 73 43 40 73 41 47 SP SD: 0.4028 c. M: 0.7927 c. 402: 66 77 46 42 78 43 50 SP SD: 0.4087 c. M: 0.7534 c. 458: 75 88 52 48 89 49 57 SP SD: 0.4487 c. M: 0.9321 c. 475: 78 91 54 50 92 51 59 SP SD: 0.3153 c. M: 0.6717 c. 483: 79 93 55 51 93 52 60 SP SD: 0.4081 c. M:-0.6682 c. 513: 84 99 58 54 99 55 64 SP SD: 0.3564 c. M: 0.5273 c. 562: 92 108 64 59 109 60 70 SP SD: 0.3268 c. M: 0.5728 c. 579: 95 111 66 61 112 62 72 SP SD: 0.2684 c. M: 0.6761 c. 609: 100 117 69 64 118 65 76 SP SD: 0.2676 c. M: 0.5673 c. 635: 104 122 72 67 123 68 79 SP SD: 0.3122 c. M: 0.5325 c. 645: 106 124 73 68 125 69 80 SP SD: 0.3357 c. M:-0.6260 c. 652: 107 125 74 69 126 70 81 SP SD: 0.3021 c. M: 0.6252 c. 677: 111 130 77 71 131 73 84 SP SD: 0.3264 c. M: 0.5025 c. 682: 112 131 77 72 132 73 85 SP SD: 0.3018 c. M: 0.5797 c. 690: 113 133 78 73 133 74 86 SP SD: 0.3088 c. M: 0.4256 c. 701: 115 135 79 74 136 75 87 SP SD: 0.3068 c. M:-0.5172 c. 713: 117 137 81 75 138 76 89 SP SD: 0.2506 c. M: 0.6032 c. 730: 120 140 83 77 141 78 91 SP SD: 0.2899 c. M:-0.4208 c. 739: 121 142 84 78 143 79 92 SP SD: 0.2787 c. M: 0.5555 c. 781: 128 150 89 82 151 84 97 SP SD: 0.2490 c. M: 0.4744 c. 786: 129 151 89 83 152 84 98 SP SD: 0.2053 c. M: 0.4319 c. 830: 136 160 94 87 161 89 103 SP SD: 0.2624 c. M: 0.3765 c. 847: 139 163 96 89 164 91 105 SP SD: 0.2182 c. M:-0.4261 c. 903: 148 174 102 95 175 97 112 SP SD: 0.2296 c. M:-0.3492 c. 915: 150 176 104 96 177 98 114 SP SD: 0.2027 c. M: 0.3218 c. 932: 153 179 106 98 180 100 116 SP SD: 0.1954 c. M:-0.3190 c. 951: 156 183 108 100 184 102 118 SP SD: 0.2292 c. M:-0.4083 c. 988: 162 190 112 104 191 106 123 SP SD: 0.1563 c. M: 0.3024 c. 1007: 165 194 114 106 195 108 125 SP SD: 0.1551 c. M:-0.2291 c. 1092: 179 210 124 115 211 117 136 SP SD: 0.1536 c. M: 0.2642 c. 1184: 194 228 134 125 229 127 147 SP SD: 0.1515 c. M: 0.2179 c. 1409: 231 271 160 148 273 151 175 SP SD: 0.1376 c. M:-0.1916 c. 1456: 239 280 165 153 282 156 181 SP SD: 0.1116 c. M: 0.1799 c. 1482: 243 285 168 156 287 159 184 SP SD: 0.1115 c. M:-0.1985 c. 1529: 251 294 173 161 296 164 190 SP SD: 0.1062 c. M: 0.1524 c. 1560: 256 300 177 164 302 167 194 SP SD: 0.1082 c. M:-0.2166 c. 1586: 260 305 180 167 307 170 197 SP SD: 0.1038 c. M:-0.1556 c. 1616: 265 311 183 170 313 173 201 SP SD: 0.0916 c. M: 0.1636 c. 1633: 268 314 185 172 316 175 203 SP SD: 0.0502 c. M:-0.0986 c. 1835: 301 353 208 193 355 197 228 SP SD: 0.0712 c. M: 0.0968 c. 1939: 318 373 220 204 375 208 241 SP SD: 0.0692 c. M:-0.1662 c. 2012: 330 387 228 212 389 216 250 SP SD: 0.0518 c. M: 0.0971 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: 5.9700 cents 3 x x 4 x 5 x 6 S SD: 25.2336 cents 4 x 5 x 6:7 x 8 S SD: 15.8626 cents 5 x 6:7 x x 9:10 SD: 29.5793 cents 6:7 x 8:9:10:11:12 S SD: 17.3042 cents 7:8:9:10 x 12:13:14 S SD: 11.4162 cents 8:9:10:11:12:14:15:16 S SD: 10.7194 cents 9:10 x 12:13:15:17:18 SD: 17.7275 cents 10:11:13:14:15:17:18:20 SD: 8.2508 cents 14:16:18:19:21:24:26:28 SD: 8.0238 cents 16:18:20:22:24:27:29:32 SD: 7.5145 cents 17:19:22:24:25:29:31:34 SD: 6.5523 cents 18:20:23:25:27:31:33:36 SD: 3.9098 cents 24:27:31:33:36:41:44:48 SD: 3.5275 cents 31:35:40:43:46:53:57:62 SD: 3.0951 cents 39:44:50:54:58:66:72:78 SD: 2.8603 cents 41:46:52:57:61:70:75:82 SD: 2.7129 cents 42:47:54:58:63:72:77:84 SD: 2.6666 cents 43:48:55:60:64:73:79:86 SD: 2.2918 cents 47:53:60:65:70:80:86:94 SD: 1.9082 cents 49:55:63:68:73:83:90:98 SD: 1.9040 cents 57:64:73:79:85:97:105:114 SD: 1.1851 cents 67:75:86:93:100:114:123:134 SD: 1.0663 cents 107:120:137:148:159:182:196:214 SD: 0.9127 cents 108:121:138:150:161:184:198:216 SD: 0.9051 cents 114:128:146:158:170:194:209:228 SD: 0.7073 cents 125:140:160:173:186:213:229:250 SD: 0.5153 cents 175:196:224:242:261:298:321:350 SD: 0.4785 cents 182:204:233:252:271:310:334:364 SD: 0.1634 cents 382:428:489:529:569:651:701:764 SD: 0.1132 cents 564:632:722:781:840:961:1035:1128 SD: 0.0967 cents