Scala analysis: CD07_17_Egypt
Tu es purifiant, ô Brin de Girofle - Annûsa Al-Misriyya (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 134.328 cents 134.328358 2: 359.388 cents 359.388145 3: 487.437 cents 487.437186 4: 663.290 cents 663.289606 5: 782.562 cents 782.561629 6: 963.077 cents 963.076923 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 236.9231 cents 236.9231 1: 134.3284 cents 134.3284 2: 225.0598 cents 225.0598 3: 128.0490 cents 128.0490 4: 175.8524 cents 175.8524 5: 119.2720 cents 119.2720 6: 180.5153 cents 180.5153 7: 236.9231 cents 236.9231
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 119.27202 cents 1: 1 128.04904 cents 1: 1 134.32836 cents 1: 1 175.85242 cents 1: 1 180.51529 cents 1: 1 225.05979 cents 1: 1 236.92308 cents 2: 1 295.12444 cents 2: 1 299.78732 cents 2: 1 303.90146 cents 2: 1 353.10883 cents 2: 1 359.38815 cents 2: 1 371.25143 cents 2: 1 417.43837 cents 3: 1 423.17348 cents 3: 1 475.63974 cents 3: 1 487.43719 cents 3: 1 528.96125 cents 3: 1 536.71039 cents 3: 1 551.76673 cents 3: 1 596.31122 cents 4: 1 603.68878 cents 4: 1 648.23327 cents 4: 1 663.28961 cents 4: 1 671.03875 cents 4: 1 712.56281 cents 4: 1 724.36026 cents 4: 1 776.82652 cents 5: 1 782.56163 cents 5: 1 828.74856 cents 5: 1 840.61186 cents 5: 1 846.89117 cents 5: 1 896.09854 cents 5: 1 900.21268 cents 5: 1 904.87556 cents 6: 1 963.07692 cents 6: 1 974.94021 cents 6: 1 1019.48471 cents 6: 1 1024.14758 cents 6: 1 1065.67164 cents 6: 1 1071.95096 cents 6: 1 1080.72798 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 : 134.3 359.4 487.4 663.3 782.6 963.1 1200.0 134.3 : 225.1 353.1 529.0 648.2 828.7 1065.7 1200.0 359.4 : 128.0 303.9 423.2 603.7 840.6 974.9 1200.0 487.4 : 175.9 295.1 475.6 712.6 846.9 1072.0 1200.0 663.3 : 119.3 299.8 536.7 671.0 896.1 1024.1 1200.0 782.6 : 180.5 417.4 551.8 776.8 904.9 1080.7 1200.0 963.1 : 236.9 371.3 596.3 724.4 900.2 1019.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 119.2720 .. 236.9231 cents 117.65105 cents 119.27202 cents 2: 295.1244 .. 417.4384 cents 122.31393 cents 58.20137 cents 3: 423.1735 .. 596.3112 cents 173.13774 cents 5.73511 cents 4: 603.6888 .. 776.8265 cents 173.13774 cents 7.37756 cents 5: 782.5616 .. 904.8756 cents 122.31393 cents 5.73511 cents 6: 963.0769 .. 1080.7280 cents 117.65105 cents 58.20137 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 119.27202 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 236.92308 cents Average / Smallest step : 1.437291 Largest / Average step : 1.382051 Largest / Smallest step : 1.986409 Median interval of one step : 175.85242 cents, amount: 1 Least squares average step : 164.71317 cents, oct.: 1152.99222 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CFBDAEG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 5.73511 cents Scale diversity : 1.579238 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.311495 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 : 4.11414 cents Number of recognisable fifths : 1, average 712.5628 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: 42.6368 c. M:-74.5812 c. Lebeng 8: 1 1 1 1 1 1 2 P M ME S SD: 45.0692 c. M: 63.2896 c. 9: 1 2 1 1 1 1 2 N D3 S SD: 26.6108 c. M:-45.8961 c. 11: 1 2 1 2 1 2 2 P M ME S SD: 26.8932 c. M: 51.0735 c. 13: 1 3 1 2 1 2 3 N SD: 30.1705 c. M: 44.1001 c. 14: 2 2 2 2 1 2 3 P T3 SD: 22.0590 c. M:-37.1002 c. 15: 2 2 2 2 2 2 3 SP M ME S SD: 21.1178 c. M: 39.3881 c. 16: 2 3 2 2 2 2 3 P D3 S SD: 23.8465 c. M:-42.4384 c. 17: 2 3 2 2 2 3 3 P D3 SD: 15.0565 c. M: 27.9955 c. Safi al-Din's maqam Rahawi 20: 2 4 2 3 2 3 4 P SD: 6.4125 c. M: 14.3284 c. 29: 3 6 3 4 3 4 6 N SD: 8.4537 c. M:-13.0256 c. 34: 4 6 4 5 3 5 7 P SD: 6.8263 c. M: 10.1357 c. 44: 5 8 5 6 5 6 9 P SD: 6.0778 c. M: 8.7442 c. 46: 5 9 5 6 5 7 9 P SD: 5.9133 c. M: 11.1157 c. 47: 5 9 5 7 5 7 9 SP SD: 5.1352 c. M:-8.9277 c. 51: 6 9 6 7 5 8 10 P SD: 5.2480 c. M:-6.8481 c. 52: 6 10 5 8 5 8 10 P SD: 5.3360 c. M:-9.8426 c. 54: 6 10 6 8 5 8 11 P SD: 3.9397 c. M: 7.5214 c. 61: 7 11 7 9 6 9 12 SP SD: 3.9428 c. M:-5.5629 c. 69: 8 13 7 10 7 10 14 N SD: 3.8932 c. M: 6.5552 c. 71: 8 13 8 10 7 11 14 P SD: 3.1878 c. M: 5.0968 c. 74: 8 14 8 11 7 11 15 P SD: 3.5637 c. M: 6.3202 c. 80: 9 15 8 12 8 12 16 P SD: 3.4432 c. M: 7.4372 c. 81: 9 15 9 12 8 12 16 SP SD: 2.2705 c. M: 3.8326 c. 101: 11 19 11 15 10 15 20 SP SD: 2.0459 c. M: 3.6353 c. 110: 12 21 12 16 11 16 22 P SD: 2.5813 c. M:-3.4719 c. 111: 12 21 12 16 11 17 22 P SD: 2.9757 c. M: 4.5986 c. 114: 13 21 12 17 11 17 23 P SD: 2.9006 c. M: 5.1822 c. 116: 13 22 12 17 12 17 23 P SD: 1.8715 c. M:-3.6453 c. 118: 13 22 13 17 12 18 23 SP SD: 2.1213 c. M: 3.4559 c. 123: 14 23 13 18 12 19 24 P SD: 1.6808 c. M:-2.7767 c. 136: 15 26 14 20 14 20 27 P SD: 1.9145 c. M:-2.7325 c. 141: 16 26 15 21 14 21 28 SP SD: 1.4614 c. M: 2.3308 c. 143: 16 27 15 21 14 22 28 P SD: 1.2638 c. M: 2.1420 c. 161: 18 30 17 24 16 24 32 SP SD: 1.4132 c. M: 2.9651 c. 167: 19 31 18 24 17 25 33 SP SD: 1.2893 c. M: 2.2118 c. 170: 19 32 18 25 17 25 34 P SD: 1.2549 c. M: 3.0769 c. 187: 21 35 20 27 19 28 37 SP SD: 0.9287 c. M: 2.3270 c. 204: 23 38 22 30 20 31 40 SP SD: 0.9704 c. M:-1.6290 c. 224: 25 42 24 33 22 34 44 SP SD: 0.6551 c. M:-1.2088 c. 268: 30 50 29 39 27 40 53 SP SD: 0.6903 c. M: 1.1792 c. 288: 32 54 31 42 29 43 57 SP SD: 0.7229 c. M: 1.0548 c. 293: 33 55 31 43 29 44 58 SP SD: 0.5663 c. M:-1.0214 c. 313: 35 59 33 46 31 47 62 SP SD: 0.5487 c. M:-0.9952 c. 320: 36 60 34 47 32 48 63 SP SD: 0.6444 c. M:-1.1884 c. 333: 37 63 35 49 33 50 66 SP SD: 0.7619 c. M: 0.9950 c. 340: 38 64 36 50 34 51 67 SP SD: 0.5015 c. M:-0.9678 c. 374: 42 70 40 55 37 56 74 SP SD: 0.4471 c. M:-0.8815 c. 391: 44 73 42 57 39 59 77 SP SD: 0.4477 c. M:-0.7100 c. 394: 44 74 42 58 39 59 78 SP SD: 0.3796 c. M:-0.6698 c. 411: 46 77 44 60 41 62 81 SP SD: 0.2799 c. M: 0.5159 c. 517: 58 97 55 76 51 78 102 SP SD: 0.3116 c. M:-0.5402 c. 537: 60 101 57 79 53 81 106 SP SD: 0.3044 c. M: 0.4387 c. 581: 65 109 62 85 58 87 115 SP SD: 0.2679 c. M: 0.5984 c. 704: 79 132 75 103 70 106 139 SP SD: 0.1951 c. M:-0.3307 c. 724: 81 136 77 106 72 109 143 SP SD: 0.1948 c. M: 0.3062 c. 785: 88 147 84 115 78 118 155 SP SD: 0.1410 c. M:-0.2061 c. 805: 90 151 86 118 80 121 159 SP SD: 0.0937 c. M: 0.1669 c. 1509: 169 283 161 221 150 227 298 SP SD: 0.0531 c. M: 0.0689 c. 2314: 259 434 247 339 230 348 457 SP SD: 0.0316 c. M: 0.0691 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: 19.3327 cents 3 x x 4 x x 5:6 S SD: 26.4766 cents 4 x 5 x 6 x 7:8 S SD: 11.8666 cents 5 x 6 x 7:8:9:10 S SD: 22.2530 cents 6 x 7:8:9 x 10:12 S SD: 25.5840 cents 7:8 x 9:10:11:12:14 S SD: 20.4903 cents 8:9:10:11:12:13:14:16 S SD: 17.2233 cents 9:10:11:12:13:14:16:18 S SD: 9.7728 cents 12:13:15:16:18:19:21:24 SD: 7.2175 cents 21:23:26:28:31:33:37:42 SD: 4.9124 cents 24:26:30:32:35:38:42:48 SD: 4.8647 cents 25:27:31:33:37:39:44:50 SD: 4.1896 cents 26:28:32:34:38:41:45:52 SD: 4.0915 cents 30:32:37:40:44:47:52:60 SD: 3.9953 cents 34:37:42:45:50:53:59:68 SD: 3.1482 cents 35:38:43:46:51:55:61:70 SD: 2.9025 cents 39:42:48:52:57:61:68:78 SD: 2.2838 cents 47:51:58:62:69:74:82:94 SD: 1.7352 cents 62:67:76:82:91:97:108:124 SD: 1.5960 cents 65:70:80:86:95:102:113:130 SD: 1.5810 cents 73:79:90:97:107:115:127:146 SD: 1.2485 cents 74:80:91:98:109:116:129:148 SD: 1.2362 cents 77:83:95:102:113:121:134:154 SD: 1.0537 cents 86:93:106:114:126:135:150:172 SD: 0.5755 cents 126:136:155:167:185:198:220:252 SD: 0.4759 cents 173:187:213:229:254:272:302:346 SD: 0.4463 cents 187:202:230:248:274:294:326:374 SD: 0.4174 cents 199:215:245:264:292:313:347:398 SD: 0.3770 cents 212:229:261:281:311:333:370:424 SD: 0.2452 cents 308:333:379:408:452:484:537:616 SD: 0.2128 cents 347:375:427:460:509:545:605:694 SD: 0.1931 cents 360:389:443:477:528:566:628:720 SD: 0.1365 cents 446:482:549:591:654:701:778:892 SD: 0.1098 cents 520:562:640:689:763:817:907:1040 SD: 0.1004 cents