Scala analysis: CD03_01_Egypt
Lève-toi et suis - Darwîsh Muhammad al-Harîrî (ajam ushayran, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 195.217 cents 195.216528 2: 325.032 cents 325.032380 3: 500.909 cents 500.908605 4: 697.788 cents 697.788011 5: 920.473 cents 920.473459 6: 989.945 cents 989.944832 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 210.0552 cents 210.0552 1: 195.2165 cents 195.2165 2: 129.8159 cents 129.8159 3: 175.8762 cents 175.8762 4: 196.8794 cents 196.8794 5: 222.6854 cents 222.6854 6: 69.4714 cents 69.4714 7: 210.0552 cents 210.0552
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 69.47137 cents 1: 1 129.81585 cents 1: 1 175.87623 cents 1: 1 195.21653 cents 1: 1 196.87941 cents 1: 1 210.05517 cents 1: 1 222.68545 cents 2: 1 279.52654 cents 2: 1 292.15682 cents 2: 1 305.69208 cents 2: 1 325.03238 cents 2: 1 372.75563 cents 2: 1 405.27170 cents 2: 1 419.56485 cents 3: 1 474.74307 cents 3: 1 489.03623 cents 3: 1 500.90861 cents 3: 1 502.21199 cents 3: 1 502.57148 cents 3: 1 535.08755 cents 3: 1 595.44108 cents 4: 1 604.55892 cents 4: 1 664.91245 cents 4: 1 697.42852 cents 4: 1 697.78801 cents 4: 1 699.09140 cents 4: 1 710.96377 cents 4: 1 725.25693 cents 5: 1 780.43515 cents 5: 1 794.72830 cents 5: 1 827.24437 cents 5: 1 874.96762 cents 5: 1 894.30792 cents 5: 1 907.84318 cents 5: 1 920.47346 cents 6: 1 977.31455 cents 6: 1 989.94483 cents 6: 1 1003.12059 cents 6: 1 1004.78347 cents 6: 1 1024.12378 cents 6: 1 1070.18415 cents 6: 1 1130.52863 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 : 195.2 325.0 500.9 697.8 920.5 989.9 1200.0 195.2 : 129.8 305.7 502.6 725.3 794.7 1004.8 1200.0 325.0 : 175.9 372.8 595.4 664.9 875.0 1070.2 1200.0 500.9 : 196.9 419.6 489.0 699.1 894.3 1024.1 1200.0 697.8 : 222.7 292.2 502.2 697.4 827.2 1003.1 1200.0 920.5 : 69.5 279.5 474.7 604.6 780.4 977.3 1200.0 989.9 : 210.1 405.3 535.1 711.0 907.8 1130.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 69.4714 .. 222.6854 cents 153.21407 cents 69.47137 cents 2: 279.5265 .. 419.5649 cents 140.03831 cents 56.84109 cents 3: 474.7431 .. 595.4411 cents 120.69801 cents 55.17822 cents 4: 604.5589 .. 725.2569 cents 120.69801 cents 9.11784 cents 5: 780.4351 .. 920.4735 cents 140.03831 cents 55.17822 cents 6: 977.3146 .. 1130.5286 cents 153.21407 cents 56.84109 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 69.47137 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 222.68545 cents Average / Smallest step : 2.467615 Largest / Average step : 1.298998 Largest / Smallest step : 3.205427 Median interval of one step : 195.21653 cents, amount: 1 Least squares average step : 172.00854 cents, oct.: 1204.05977 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : DBCEGAF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 9.11784 cents Scale diversity : 1.688883 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.310083 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 : 0.35949 cents Number of recognisable fifths : 4, average 701.3179 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: 30.9633 c. M: 63.3306 c. Lebeng 8: 1 1 1 2 1 1 1 P M ME I SD: 41.4293 c. M:-60.0552 c. 10: 2 1 1 2 2 0 2 P D3 S SD: 30.7475 c. M:-44.7835 c. 12: 2 1 2 2 2 1 2 P M ME I SD: 12.9587 c. M: 25.0324 c. G.Phrygian, M.Dorian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Bhimpalasi, Huseni, Kanara, Kapi, Nayaki Kanada, Ritigaula, Sriraga, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo, Oshikicho, Banshikicho: Japan, Nam: Vietnam 17: 3 2 2 3 3 1 3 SP D3 S SD: 12.9576 c. M:-27.9088 c. 21: 3 3 3 3 4 1 4 SP T3 S SD: 15.0687 c. M: 23.7880 c. 22: 4 2 3 4 4 1 4 P SD: 11.1640 c. M:-22.9653 c. 23: 4 2 4 3 5 1 4 N SD: 14.5924 c. M:-20.8305 c. 24: 4 3 3 4 4 2 4 SP D3 S SD: 12.9408 c. M:-24.9676 c. Dance scale of Yi people: China 26: 4 3 4 4 5 1 5 P SD: 9.4726 c. M: 20.7141 c. 29: 5 3 4 5 5 2 5 SP SD: 6.9286 c. M:-11.6800 c. 36: 6 4 5 6 7 2 6 P SD: 7.2110 c. M:-12.8599 c. 38: 6 4 6 6 7 2 7 P SD: 6.4317 c. M: 10.9975 c. 43: 7 5 6 7 8 2 8 SP SD: 6.2513 c. M: 13.2006 c. 47: 8 5 7 7 9 3 8 SP SD: 6.8674 c. M:-9.7297 c. 48: 8 5 7 8 9 3 8 P SD: 4.6321 c. M:-10.0552 c. 51: 8 6 7 9 9 3 9 SP SD: 5.2162 c. M:-8.0943 c. 55: 9 6 8 9 10 3 10 SP SD: 3.5907 c. M: 8.1267 c. 64: 10 7 10 10 12 4 11 P SD: 4.8003 c. M: 7.7165 c. 67: 11 7 10 11 12 4 12 SP SD: 3.4718 c. M: 7.0406 c. 69: 11 8 10 11 13 4 12 SP SD: 3.0315 c. M:-5.4024 c. 74: 12 8 11 12 14 4 13 P SD: 1.6796 c. M:-3.8509 c. 81: 13 9 12 13 15 5 14 SP SD: 2.0197 c. M:-2.7951 c. 86: 14 9 13 14 16 5 15 P SD: 1.6751 c. M: 4.1021 c. 103: 17 11 15 17 19 6 18 SP SD: 1.2616 c. M:-2.8417 c. 141: 23 15 21 23 26 8 25 SP SD: 1.3901 c. M: 2.7108 c. 143: 23 16 21 23 27 8 25 SP SD: 1.8935 c. M:-2.6035 c. 153: 25 16 23 25 28 9 27 SP SD: 1.8831 c. M: 3.4638 c. 154: 25 17 22 26 28 9 27 SP SD: 1.8316 c. M:-3.5107 c. 155: 25 17 23 25 29 9 27 SP SD: 1.2484 c. M:-2.3172 c. 167: 27 18 25 27 31 10 29 SP SD: 1.3381 c. M:-2.0854 c. 172: 28 19 25 28 32 10 30 SP SD: 1.2579 c. M:-2.8746 c. 177: 29 19 26 29 33 10 31 SP SD: 0.8807 c. M:-1.5604 c. 184: 30 20 27 30 34 11 32 SP SD: 0.8926 c. M:-1.3595 c. 189: 31 20 28 31 35 11 33 SP SD: 0.8655 c. M:-1.6089 c. 258: 42 28 38 42 48 15 45 SP SD: 0.6671 c. M:-1.4170 c. 263: 43 28 39 43 49 15 46 SP SD: 0.8171 c. M:-1.1995 c. 270: 44 29 40 44 50 16 47 SP SD: 0.7339 c. M:-1.3136 c. 313: 51 34 46 51 58 18 55 SP SD: 0.6916 c. M:-1.3278 c. 314: 51 34 46 52 58 18 55 SP SD: 0.6552 c. M:-1.5750 c. 361: 59 39 53 59 67 21 63 SP SD: 0.6530 c. M:-1.0305 c. 373: 61 40 55 61 69 22 65 SP SD: 0.6696 c. M:-1.0301 c. 383: 62 42 56 63 71 22 67 SP SD: 0.6592 c. M: 0.9607 c. 395: 64 43 58 65 73 23 69 SP SD: 0.5116 c. M:-0.9462 c. 450: 73 49 66 74 83 26 79 SP SD: 0.5269 c. M:-0.8787 c. 468: 76 51 68 77 87 27 82 SP SD: 0.4600 c. M: 0.9086 c. 469: 76 51 69 77 87 27 82 SP SD: 0.5222 c. M: 0.7602 c. 473: 77 51 69 78 88 27 83 SP SD: 0.5137 c. M: 1.1200 c. 480: 78 52 70 79 89 28 84 SP SD: 0.4112 c. M: 0.9086 c. 481: 78 52 71 79 89 28 84 SP SD: 0.5363 c. M:-0.7567 c. 498: 81 54 73 82 92 29 87 SP SD: 0.4390 c. M:-1.0072 c. 524: 85 57 77 86 97 30 92 SP SD: 0.4794 c. M:-0.6853 c. 536: 87 58 79 88 99 31 94 SP SD: 0.4592 c. M:-0.7195 c. 542: 88 59 79 89 101 31 95 SP SD: 0.4052 c. M:-0.5598 c. 554: 90 60 81 91 103 32 97 SP SD: 0.2676 c. M: 0.5476 c. 628: 102 68 92 103 117 36 110 SP SD: 0.3016 c. M:-0.5456 c. 647: 105 70 95 106 120 38 113 SP SD: 0.4022 c. M: 0.5353 c. 652: 106 71 95 107 121 38 114 SP SD: 0.3401 c. M:-0.7345 c. 657: 107 71 96 108 122 38 115 SP SD: 0.1960 c. M: 0.4520 c. 738: 120 80 108 121 137 43 129 SP SD: 0.1733 c. M:-0.2991 c. 812: 132 88 119 133 151 47 142 SP SD: 0.1628 c. M: 0.2511 c. 879: 143 95 129 144 163 51 154 SP SD: 0.1715 c. M: 0.3369 c. 915: 149 99 134 150 170 53 160 SP SD: 0.1589 c. M:-0.2191 c. 1056: 172 114 155 173 196 61 185 SP SD: 0.1430 c. M:-0.2380 c. 1377: 224 149 202 226 255 80 241 SP SD: 0.1426 c. M:-0.2512 c. 1395: 227 151 204 229 259 81 244 SP SD: 0.1418 c. M: 0.2634 c. 1433: 233 155 210 235 266 83 251 SP SD: 0.1429 c. M: 0.2304 c. 1450: 236 157 212 238 269 84 254 SP SD: 0.1604 c. M: 0.2189 c. 1451: 236 157 213 238 269 84 254 SP SD: 0.1291 c. M:-0.2630 c. 1469: 239 159 215 241 273 85 257 SP SD: 0.1192 c. M: 0.1706 c. 1536: 250 166 225 252 285 89 269 SP SD: 0.1069 c. M: 0.1610 c. 1610: 262 174 236 264 299 93 282 SP SD: 0.0839 c. M: 0.1483 c. 1794: 292 194 263 294 333 104 314 SP SD: 0.0795 c. M: 0.1291 c. 1919: 312 208 281 315 356 111 336 SP SD: 0.0767 c. M:-0.1370 c. 1931: 314 209 283 317 358 112 338 SP SD: 0.0665 c. M: 0.1213 c. 2005: 326 217 294 329 372 116 351 SP SD: 0.0534 c. M: 0.1043 c. 2108: 343 228 309 346 391 122 369 SP SD: 0.0526 c. M:-0.1247 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: 2.0835 cents 3 x x 4 x 5 x 6 S SD: 12.0760 cents 4 x 5 x 6 x 7:8 S SD: 16.2380 cents 5 x 6:7 x x 9:10 SD: 21.6679 cents 6 x 7:8:9:10:11:12 S SD: 15.1319 cents 7:8 x 9:10:12 x 14 S SD: 22.1216 cents 8:9:10:11:12 x 14:16 S SD: 13.7795 cents 9:10:11:12:13:15:16:18 SD: 10.8392 cents 10:11:12:13:15:17:18:20 SD: 8.9974 cents 11:12:13:15:16:19 x 22 SD: 14.5704 cents 12:13:14:16:18:20:21:24 S SD: 13.0674 cents 13:15:16:17:19:22:23:26 SD: 11.9857 cents 14:16:17:19:21:24:25:28 SD: 7.2242 cents 16:18:19:21:24:27:28:32 SD: 7.0238 cents 18:20:22:24:27:31:32:36 SD: 4.8543 cents 24:27:29:32:36:41:43:48 SD: 3.3096 cents 33:37:40:44:49:56:58:66 SD: 3.0989 cents 34:38:41:45:51:58:60:68 SD: 2.5994 cents 43:48:52:57:64:73:76:86 SD: 2.5810 cents 44:49:53:59:66:75:78:88 SD: 1.8176 cents 48:54:58:64:72:82:85:96 SD: 1.7627 cents 57:64:69:76:85:97:101:114 SD: 1.4660 cents 68:76:82:91:102:116:120:136 SD: 1.4189 cents 74:83:89:99:111:126:131:148 SD: 1.2022 cents 77:86:93:103:115:131:136:154 SD: 1.1375 cents 83:93:100:111:124:141:147:166 SD: 0.8060 cents 101:113:122:135:151:172:179:202 SD: 0.4777 cents 175:196:211:234:262:298:310:350 SD: 0.4176 cents 184:206:222:246:275:313:326:368 SD: 0.4173 cents 185:207:223:247:277:315:328:370 SD: 0.3889 cents 218:244:263:291:326:371:386:436 SD: 0.2381 cents 310:347:374:414:464:528:549:620 SD: 0.2287 cents 319:357:385:426:477:543:565:638 SD: 0.2172 cents 369:413:445:493:552:628:654:738 SD: 0.2094 cents 393:440:474:525:588:669:696:786 SD: 0.1573 cents 459:514:554:613:687:781:813:918 SD: 0.1565 cents 494:553:596:660:739:841:875:988 SD: 0.1527 cents 503:563:607:672:753:856:891:1006 SD: 0.1421 cents 552:618:666:737:826:939:978:1104 SD: 0.1393 cents 596:667:719:796:892:1014:1056:1192 SD: 0.1097 cents