Scala analysis: CD03_14_Egypt
Suite - Aziz 'Uthmân (sikah, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 142.753 cents 142.753227 2: 290.894 cents 290.894398 3: 482.652 cents 482.652393 4: 637.918 cents 637.918490 5: 799.777 cents 799.776922 6: 991.717 cents 991.717169 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 208.2828 cents 208.2828 1: 142.7532 cents 142.7532 2: 148.1412 cents 148.1412 3: 191.7580 cents 191.7580 4: 155.2661 cents 155.2661 5: 161.8584 cents 161.8584 6: 191.9402 cents 191.9402 7: 208.2828 cents 208.2828
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 142.75323 cents 1: 1 148.14117 cents 1: 1 155.26610 cents 1: 1 161.85843 cents 1: 1 191.75799 cents 1: 1 191.94025 cents 1: 1 208.28283 cents 2: 1 290.89440 cents 2: 1 317.12453 cents 2: 1 339.89917 cents 2: 1 347.02409 cents 2: 1 351.03606 cents 2: 1 353.79868 cents 2: 1 400.22308 cents 3: 1 482.65239 cents 3: 1 495.16526 cents 3: 1 499.17723 cents 3: 1 508.88252 cents 3: 1 509.06478 cents 3: 1 542.97631 cents 3: 1 562.08151 cents 4: 1 637.91849 cents 4: 1 657.02369 cents 4: 1 690.93522 cents 4: 1 691.11748 cents 4: 1 700.82277 cents 4: 1 704.83474 cents 4: 1 717.34761 cents 5: 1 799.77692 cents 5: 1 846.20132 cents 5: 1 848.96394 cents 5: 1 852.97591 cents 5: 1 860.10083 cents 5: 1 882.87547 cents 5: 1 909.10560 cents 6: 1 991.71717 cents 6: 1 1008.05975 cents 6: 1 1008.24201 cents 6: 1 1038.14157 cents 6: 1 1044.73390 cents 6: 1 1051.85883 cents 6: 1 1057.24677 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 : 142.8 290.9 482.7 637.9 799.8 991.7 1200.0 142.8 : 148.1 339.9 495.2 657.0 849.0 1057.2 1200.0 290.9 : 191.8 347.0 508.9 700.8 909.1 1051.9 1200.0 482.7 : 155.3 317.1 509.1 717.3 860.1 1008.2 1200.0 637.9 : 161.9 353.8 562.1 704.8 853.0 1044.7 1200.0 799.8 : 191.9 400.2 543.0 691.1 882.9 1038.1 1200.0 991.7 : 208.3 351.0 499.2 690.9 846.2 1008.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 142.7532 .. 208.2828 cents 65.52960 cents 142.75323 cents 2: 290.8944 .. 400.2231 cents 109.32868 cents 82.61157 cents 3: 482.6524 .. 562.0815 cents 79.42912 cents 82.42932 cents 4: 637.9185 .. 717.3476 cents 79.42912 cents 75.83698 cents 5: 799.7769 .. 909.1056 cents 109.32868 cents 82.42931 cents 6: 991.7172 .. 1057.2468 cents 65.52960 cents 82.61157 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 142.75323 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 208.28283 cents Average / Smallest step : 1.200874 Largest / Average step : 1.214983 Largest / Smallest step : 1.459041 Median interval of one step : 161.85843 cents, amount: 1 Least squares average step : 164.80972 cents, oct.: 1153.66804 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : ABECDFG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 75.83698 cents Scale diversity : 1.443717 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.576188 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 : 0.18225 cents Number of recognisable fifths : 5, average 701.0116 cents Number of appreciable fifths : 4, average 696.9276 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 83.0985 cents: 5 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 40.4556 c. M:-57.3659 c. Lebeng 8: 1 1 1 1 1 2 1 P M ME S SD: 34.8754 c. M:-58.2828 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 32.6878 c. M: 58.3838 c. Pseudo Pelog, Pelogic-7, Antiionian 12: 1 2 2 1 2 2 2 P M ME S SD: 23.0470 c. M: 42.7532 c. G.Mixolydian, G.Hyperdorian, M.Hypophrygian, M.Locrian, G.M.Hyperaeolian, Rut biscale descending, Pien chih: China, Makam Lami, Yishtabach: Jewish 13: 2 1 2 2 2 2 2 SP M ME S SD: 23.8505 c. M:-41.8622 c. Tamashian 15: 2 2 2 2 2 2 3 SP M ME S SD: 17.5743 c. M: 31.7172 c. 17: 2 2 3 2 2 3 3 SP D3 S SD: 10.4819 c. M: 23.3063 c. Safi al-Din's maqam Husaini 22: 3 2 4 3 3 3 4 SP D3 SD: 14.8685 c. M:-20.8831 c. Gandhaara Grama (Sarngadeva der. sa-grama) 23: 3 3 3 3 3 4 4 SP D3 S SD: 13.5559 c. M:-22.1491 c. 24: 3 3 4 3 3 4 4 SP D3 S SD: 9.6435 c. M:-17.3476 c. Maqam Ouchairan-Hussaini, Bayatan, Neutral Diatonic Mixolydian 25: 3 3 4 3 4 4 4 SP D3 SD: 10.2749 c. M:-16.2828 c. 28: 3 4 4 4 4 4 5 SP T3 SD: 9.8629 c. M:-14.5088 c. 30: 4 3 5 4 4 5 5 SP SD: 8.4190 c. M:-17.2468 c. 34: 4 4 6 4 5 5 6 SP SD: 7.2665 c. M:-11.9878 c. 40: 5 5 6 5 6 6 7 SP SD: 6.6829 c. M:-10.2231 c. 42: 5 5 7 5 6 7 7 SP SD: 5.2405 c. M: 9.3471 c. 45: 5 6 7 6 6 7 8 SP SD: 4.3360 c. M: 9.4199 c. 52: 6 7 8 7 7 8 9 SP SD: 5.8065 c. M:-9.1056 c. 53: 6 7 8 7 7 9 9 SP SD: 5.3549 c. M: 7.3241 c. 57: 7 7 9 7 8 9 10 SP SD: 3.4593 c. M: 6.3395 c. 62: 7 8 10 8 8 10 11 SP SD: 4.0607 c. M: 7.2694 c. 68: 8 8 11 9 9 11 12 SP SD: 4.8506 c. M: 8.5415 c. 69: 8 9 11 9 9 11 12 SP SD: 3.4932 c. M:-5.5598 c. 74: 9 9 12 9 10 12 13 SP SD: 3.5704 c. M: 5.4861 c. 75: 9 9 12 10 10 12 13 SP SD: 1.7497 c. M: 2.8944 c. 120: 14 15 19 16 16 19 21 SP SD: 1.8026 c. M: 2.7532 c. 132: 16 16 21 17 18 21 23 SP SD: 1.2600 c. M:-2.7013 c. 137: 16 17 22 18 18 22 24 SP SD: 1.8620 c. M: 2.6966 c. 144: 17 18 23 19 19 23 25 SP SD: 1.5279 c. M:-3.7482 c. 149: 18 18 24 19 20 24 26 SP SD: 1.5239 c. M: 2.4615 c. 156: 19 19 25 20 21 25 27 SP SD: 1.6084 c. M:-3.4006 c. 162: 19 20 26 21 22 26 28 SP SD: 1.2556 c. M: 2.0125 c. 177: 21 22 28 23 24 28 31 SP SD: 0.9434 c. M: 1.8867 c. 186: 22 23 30 24 25 30 32 SP SD: 0.9643 c. M:-1.8312 c. 194: 23 24 31 25 26 31 34 SP SD: 1.0976 c. M: 2.0264 c. 201: 24 25 32 26 27 32 35 SP SD: 0.8564 c. M:-1.6429 c. 243: 29 30 39 31 33 39 42 SP SD: 0.7272 c. M:-1.2982 c. 269: 32 33 43 35 36 43 47 SP SD: 0.8561 c. M: 1.3826 c. 276: 33 34 44 36 37 44 48 SP SD: 0.5837 c. M:-1.2119 c. 288: 34 36 46 37 39 46 50 SP SD: 0.5938 c. M: 1.0866 c. 318: 38 39 51 41 43 51 55 SP SD: 0.4276 c. M:-0.7357 c. 363: 43 45 58 47 49 58 63 SP SD: 0.2465 c. M: 0.6045 c. 438: 52 54 70 57 59 70 76 SP SD: 0.3325 c. M: 0.4834 c. 495: 59 61 79 64 67 79 86 SP SD: 0.2194 c. M: 0.3427 c. 681: 81 84 109 88 92 109 118 SP SD: 0.1794 c. M:-0.3533 c. 858: 102 106 137 111 116 137 149 SP SD: 0.1274 c. M:-0.2231 c. 1151: 137 142 184 149 155 184 200 SP SD: 0.1179 c. M: 0.2315 c. 1193: 142 147 191 154 161 191 207 SP SD: 0.1360 c. M: 0.1987 c. 1238: 147 153 198 160 167 198 215 SP SD: 0.1320 c. M: 0.2653 c. 1313: 156 162 210 170 177 210 228 SP SD: 0.1338 c. M: 0.2623 c. 1337: 159 165 214 173 180 214 232 SP SD: 0.1306 c. M:-0.2266 c. 1370: 163 169 219 177 185 219 238 SP SD: 0.1269 c. M: 0.2543 c. 1394: 166 172 223 180 188 223 242 SP SD: 0.1243 c. M:-0.2744 c. 1439: 171 178 230 186 194 230 250 SP SD: 0.1303 c. M: 0.1953 c. 1452: 173 179 232 188 196 232 252 SP SD: 0.1249 c. M:-0.2231 c. 1469: 175 181 235 190 198 235 255 SP SD: 0.1004 c. M:-0.2012 c. 1514: 180 187 242 196 204 242 263 SP SD: 0.0896 c. M: 0.1716 c. 1556: 185 192 249 201 210 249 270 SP SD: 0.0963 c. M: 0.1489 c. 1733: 206 214 277 224 234 277 301 SP SD: 0.1001 c. M: 0.1805 c. 1757: 209 217 281 227 237 281 305 SP SD: 0.0852 c. M:-0.2161 c. 1832: 218 226 293 237 247 293 318 SP SD: 0.0550 c. M:-0.0987 c. 2195: 261 271 351 284 296 351 381 SP SD: 0.0550 c. M:-0.0811 c. 2327: 277 287 372 301 314 372 404 SP SD: 0.0497 c. M:-0.0916 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: 32.0183 cents 3 x x 4 x 5 x 6 S SD: 28.6570 cents 4 x 5 x 6 x 7:8 S SD: 29.2933 cents 5 x 6 x 7:8:9:10 S SD: 13.4840 cents 6 x 7:8:9:10:11:12 S SD: 20.6773 cents 7 x 8:9:10:11:12:14 S SD: 16.6483 cents 8:9 x 11:12:13:14:16 SD: 20.2350 cents 9:10:11:12:13:14:16:18 S SD: 11.2839 cents 10:11:12:13:14:16:18:20 S SD: 10.9258 cents 12:13:14:16:17:19:21:24 SD: 7.2740 cents 21:23:25:28:30:33:37:42 SD: 5.3733 cents 22:24:26:29:32:35:39:44 SD: 2.1035 cents 34:37:40:45:49:54:60:68 SD: 2.0711 cents 49:53:58:65:71:78:87:98 SD: 1.6822 cents 56:61:66:74:81:89:99:112 SD: 1.4592 cents 71:77:84:94:103:113:126:142 SD: 1.2602 cents 72:78:85:95:104:114:128:144 SD: 1.2460 cents 81:88:96:107:117:129:144:162 SD: 1.1685 cents 83:90:98:110:120:132:147:166 SD: 1.0920 cents 92:100:109:122:133:146:163:184 SD: 0.9844 cents 94:102:111:124:136:149:167:188 SD: 0.8935 cents 114:124:135:151:165:181:202:228 SD: 0.8315 cents 115:125:136:152:166:183:204:230 SD: 0.7739 cents 119:129:141:157:172:189:211:238 SD: 0.7400 cents 137:149:162:181:198:217:243:274 SD: 0.6462 cents 153:166:181:202:221:243:271:306 SD: 0.4996 cents 164:178:194:217:237:260:291:328 SD: 0.4709 cents 175:190:207:231:253:278:310:350 SD: 0.4475 cents 186:202:220:246:269:295:330:372 SD: 0.3225 cents 267:290:316:353:386:424:473:534 SD: 0.3218 cents 279:303:330:369:403:443:495:558 SD: 0.3157 cents 290:315:343:383:419:460:514:580 SD: 0.2888 cents 301:327:356:398:435:478:534:602 SD: 0.2522 cents 305:331:361:403:441:484:541:610 SD: 0.2371 cents 327:355:387:432:473:519:580:654 SD: 0.2313 cents 339:368:401:448:490:538:601:678 SD: 0.1163 cents 361:392:427:477:522:573:640:722 SD: 0.1119 cents 557:605:659:736:805:884:988:1114 SD: 0.1103 cents