Scala analysis: CD02_02_Egypt
Celui à la taille gracile est apparu / Détourne ton chemin vers la gazelle / Quelle sera ma ruse ? - Darwîsh Muhammad al-Harîrî (hicazkar, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 193.792 cents 193.792100 2: 328.807 cents 328.806894 3: 584.954 cents 584.953697 4: 688.728 cents 688.727567 5: 913.130 cents 913.129909 6: 1045.617 cents 1045.616611 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 154.3834 cents 154.3834 1: 193.7921 cents 193.7921 2: 135.0148 cents 135.0148 3: 256.1468 cents 256.1468 4: 103.7739 cents 103.7739 5: 224.4023 cents 224.4023 6: 132.4867 cents 132.4867 7: 154.3834 cents 154.3834
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 103.77387 cents 1: 1 132.48670 cents 1: 1 135.01479 cents 1: 1 154.38339 cents 1: 1 193.79210 cents 1: 1 224.40234 cents 1: 1 256.14680 cents 2: 1 286.87009 cents 2: 1 328.17621 cents 2: 1 328.80689 cents 2: 1 348.17549 cents 2: 1 356.88904 cents 2: 1 359.92067 cents 2: 1 391.16160 cents 3: 1 460.66291 cents 3: 1 480.66219 cents 3: 1 483.19028 cents 3: 1 494.93547 cents 3: 1 511.27243 cents 3: 1 584.32302 cents 3: 1 584.95370 cents 4: 1 615.04630 cents 4: 1 615.67698 cents 4: 1 688.72757 cents 4: 1 705.06453 cents 4: 1 716.80972 cents 4: 1 719.33781 cents 4: 1 739.33709 cents 5: 1 808.83840 cents 5: 1 840.07933 cents 5: 1 843.11096 cents 5: 1 851.82451 cents 5: 1 871.19311 cents 5: 1 871.82379 cents 5: 1 913.12991 cents 6: 1 943.85320 cents 6: 1 975.59766 cents 6: 1 1006.20790 cents 6: 1 1045.61661 cents 6: 1 1064.98521 cents 6: 1 1067.51330 cents 6: 1 1096.22613 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 : 193.8 328.8 585.0 688.7 913.1 1045.6 1200.0 193.8 : 135.0 391.2 494.9 719.3 851.8 1006.2 1200.0 328.8 : 256.1 359.9 584.3 716.8 871.2 1065.0 1200.0 585.0 : 103.8 328.2 460.7 615.0 808.8 943.9 1200.0 688.7 : 224.4 356.9 511.3 705.1 840.1 1096.2 1200.0 913.1 : 132.5 286.9 480.7 615.7 871.8 975.6 1200.0 1045.6: 154.4 348.2 483.2 739.3 843.1 1067.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 103.7739 .. 256.1468 cents 152.37293 cents 103.77387 cents 2: 286.8701 .. 391.1616 cents 104.29151 cents 30.72329 cents 3: 460.6629 .. 584.9537 cents 124.29078 cents 69.50132 cents 4: 615.0463 .. 739.3371 cents 124.29078 cents 30.09261 cents 5: 808.8384 .. 913.1299 cents 104.29151 cents 69.50132 cents 6: 943.8532 .. 1096.2261 cents 152.37293 cents 30.72329 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 103.77387 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 256.14680 cents Average / Smallest step : 1.651944 Largest / Average step : 1.494190 Largest / Smallest step : 2.468317 Median interval of one step : 154.38339 cents, amount: 1 Least squares average step : 175.71805 cents, oct.: 1230.02632 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : ECGAFBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 30.09261 cents Scale diversity : 1.616500 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.365075 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 : 0.63068 cents Number of recognisable fifths : 4, average 707.4849 cents Number of appreciable fifths : 1, average 705.0645 cents Best fifths 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: 36.1063 c. M: 70.6680 c. Lebeng 8: 1 1 2 1 1 1 1 P M ME S SD: 31.4413 c. M:-61.2724 c. 11: 2 1 2 1 2 1 2 P M ME I SD: 35.9134 c. M: 63.7984 c. Superkleismic-7 12: 2 1 3 1 2 1 2 P D3 SD: 22.2810 c. M: 45.6166 c. Mela Hemavati, Raga Desisimharavam, Maqam Nakriz, Tunisian, Dorian sharp 4, Misheberekh: Jewish, Nigriz, Pimenikos, Souzinak (Peiraiotikos Minor): Greece, Ukrainian Dorian, Ukrainian Minor, Kaffa, Gnossiennes 14: 2 2 3 1 3 1 2 P T3 SD: 17.3504 c. M:-29.7272 c. 17: 3 2 3 2 3 2 2 SP M ME S SD: 16.0560 c. M:-24.1343 c. Neutral Hypolydian, Mohajira-7 18: 3 2 4 1 4 2 2 P SD: 15.2287 c. M: 22.0609 c. 21: 3 3 4 2 4 2 3 SP T3 SD: 12.9913 c. M: 22.3635 c. 24: 4 3 5 2 4 3 3 P SD: 12.1464 c. M:-21.1931 c. 25: 4 3 5 2 5 3 3 SP SD: 8.6522 c. M: 16.7276 c. 26: 4 3 6 2 5 3 3 P SD: 10.0620 c. M:-15.9219 c. 29: 5 3 6 3 5 3 4 SP SD: 8.9199 c. M:-14.7207 c. 30: 5 3 7 2 6 3 4 P SD: 8.4296 c. M:-15.0463 c. 33: 5 4 7 3 6 4 4 SP SD: 6.0516 c. M: 11.9739 c. 37: 6 4 8 3 7 4 5 SP SD: 4.8742 c. M: 7.7788 c. 47: 8 5 10 4 9 5 6 SP SD: 4.8165 c. M:-10.4632 c. 54: 9 6 11 5 10 6 7 SP SD: 4.0707 c. M: 7.1759 c. 55: 9 6 12 5 10 6 7 SP SD: 4.2873 c. M:-9.4543 c. 62: 10 7 13 6 11 7 8 SP SD: 3.6946 c. M:-8.0466 c. 63: 10 7 14 5 12 7 8 SP SD: 3.3994 c. M:-5.5225 c. 70: 11 8 15 6 13 8 9 SP SD: 3.1867 c. M: 5.2207 c. 80: 13 9 17 7 15 9 10 SP SD: 1.9718 c. M:-4.3834 c. 92: 15 10 20 8 17 10 12 SP SD: 1.9305 c. M: 2.7199 c. 117: 19 13 25 10 22 13 15 SP SD: 0.7949 c. M: 1.5481 c. 193: 31 22 41 17 36 21 25 SP SD: 0.9075 c. M:-1.4279 c. 209: 34 23 45 18 39 23 27 SP SD: 0.8771 c. M: 1.5342 c. 230: 37 26 49 20 43 25 30 SP SD: 0.8881 c. M: 2.1384 c. 242: 39 27 52 21 45 27 31 SP SD: 0.7372 c. M: 1.5342 c. 273: 44 31 58 24 51 30 35 SP SD: 0.8057 c. M:-1.3823 c. 289: 47 32 62 25 54 32 37 SP SD: 0.7294 c. M:-1.3636 c. 293: 47 33 63 25 55 32 38 SP SD: 0.8937 c. M: 1.3006 c. 296: 48 33 63 26 55 33 38 SP SD: 0.7025 c. M: 1.1699 c. 310: 50 35 66 27 58 34 40 SP SD: 0.3332 c. M: 0.4553 c. 427: 69 48 91 37 80 47 55 SP SD: 0.2089 c. M: 0.4104 c. 800: 129 90 171 69 150 88 103 SP SD: 0.2342 c. M:-0.3701 c. 824: 133 93 176 71 154 91 106 SP SD: 0.2262 c. M:-0.4832 c. 862: 139 97 184 75 161 95 111 SP SD: 0.2363 c. M:-0.3676 c. 917: 148 103 196 79 172 101 118 SP SD: 0.2301 c. M: 0.3961 c. 941: 152 106 201 81 176 104 121 SP SD: 0.1726 c. M:-0.3811 c. 979: 158 110 209 85 183 108 126 SP SD: 0.1739 c. M: 0.3084 c. 1058: 171 119 226 91 198 117 136 SP SD: 0.1776 c. M:-0.3015 c. 1059: 171 119 226 92 198 117 136 SP SD: 0.1935 c. M:-0.2757 c. 1096: 177 123 234 95 205 121 141 SP SD: 0.1677 c. M: 0.3397 c. 1120: 181 126 239 97 209 124 144 SP SD: 0.1511 c. M: 0.2728 c. 1237: 200 139 264 107 231 137 159 SP SD: 0.1468 c. M: 0.2762 c. 1251: 202 141 267 108 234 138 161 SP SD: 0.1088 c. M:-0.2099 c. 1368: 221 154 292 118 256 151 176 SP SD: 0.0928 c. M:-0.1405 c. 1547: 250 174 330 134 289 171 199 SP SD: 0.0915 c. M: 0.1370 c. 1610: 260 181 344 139 301 178 207 SP SD: 0.0844 c. M:-0.1395 c. 1678: 271 189 358 145 314 185 216 SP SD: 0.0805 c. M:-0.1562 c. 1803: 291 203 385 156 337 199 232 SP SD: 0.0708 c. M:-0.1243 c. 1920: 310 216 410 166 359 212 247 SP SD: 0.0333 c. M: 0.0569 c. 2347: 379 264 501 203 439 259 302 SP SD: 0.0294 c. M: 0.0468 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: 6.6137 cents 3 x x 4 x 5 x 6 S SD: 30.5158 cents 4 x 5 x 6:7 x 8 S SD: 20.2855 cents 5 x 6:7 x 8:9:10 S SD: 20.8360 cents 6 x 7:8:9:10:11:12 S SD: 18.5637 cents 7:8 x 10 x 12:13:14 S SD: 11.8933 cents 9:10:11:13 x 15:16:18 SD: 13.3599 cents 10:11:12:14:15:17:18:20 SD: 6.3864 cents 18:20:22:25:27:31:33:36 SD: 5.9110 cents 19:21:23:27:28:32:35:38 SD: 5.5940 cents 23:26:28:32:34:39:42:46 SD: 4.0650 cents 25:28:30:35:37:42:46:50 SD: 3.5289 cents 33:37:40:46:49:56:60:66 SD: 2.3598 cents 43:48:52:60:64:73:79:86 SD: 1.7102 cents 52:58:63:73:77:88:95:104 SD: 1.6491 cents 59:66:71:83:88:100:108:118 SD: 1.5433 cents 67:75:81:94:100:114:123:134 SD: 1.5085 cents 75:84:91:105:112:127:137:150 SD: 1.3246 cents 76:85:92:107:113:129:139:152 SD: 1.1892 cents 82:92:99:115:122:139:150:164 SD: 0.8783 cents 92:103:111:129:137:156:168:184 SD: 0.7642 cents 119:133:144:167:177:202:218:238 SD: 0.6797 cents 134:150:162:188:199:227:245:268 SD: 0.6667 cents 135:151:163:189:201:229:247:270 SD: 0.5621 cents 176:197:213:247:262:298:322:352 SD: 0.4382 cents 186:208:225:261:277:315:340:372 SD: 0.3650 cents 219:245:265:307:326:371:401:438 SD: 0.3079 cents 229:256:277:321:341:388:419:458 SD: 0.1862 cents 311:348:376:436:463:527:569:622 SD: 0.1277 cents 540:604:653:757:804:915:988:1080 SD: 0.0739 cents