Scala analysis: CD05_09_saba_Egypt
Tu es le prince des beaux jeunes gens - ‘Abduh al-Ḥāmūlī (saba, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 145.464 cents 145.463759 2: 302.605 cents 302.605487 3: 405.973 cents 405.973282 4: 719.641 cents 719.640675 5: 787.676 cents 787.676068 6: 997.273 cents 997.272554 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 202.7274 cents 202.7274 1: 145.4638 cents 145.4638 2: 157.1417 cents 157.1417 3: 103.3678 cents 103.3678 4: 313.6674 cents 313.6674 5: 68.0354 cents 68.0354 6: 209.5965 cents 209.5965 7: 202.7274 cents 202.7274
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 68.03539 cents 1: 1 103.36779 cents 1: 1 145.46376 cents 1: 1 157.14173 cents 1: 1 202.72745 cents 1: 1 209.59649 cents 1: 1 313.66739 cents 2: 1 260.50952 cents 2: 1 277.63188 cents 2: 1 302.60549 cents 2: 1 348.19120 cents 2: 1 381.70279 cents 2: 1 412.32393 cents 2: 1 417.03519 cents 3: 1 405.97328 cents 3: 1 480.35933 cents 3: 1 485.07058 cents 3: 1 505.33293 cents 3: 1 557.78769 cents 3: 1 574.17692 cents 3: 1 591.29927 cents 4: 1 608.70073 cents 4: 1 625.82308 cents 4: 1 642.21231 cents 4: 1 694.66707 cents 4: 1 714.92942 cents 4: 1 719.64067 cents 4: 1 794.02672 cents 5: 1 782.96481 cents 5: 1 787.67607 cents 5: 1 818.29721 cents 5: 1 851.80880 cents 5: 1 897.39451 cents 5: 1 922.36812 cents 5: 1 939.49048 cents 6: 1 886.33261 cents 6: 1 990.40351 cents 6: 1 997.27255 cents 6: 1 1042.85827 cents 6: 1 1054.53624 cents 6: 1 1096.63221 cents 6: 1 1131.96461 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 : 145.5 302.6 406.0 719.6 787.7 997.3 1200.0 145.5 : 157.1 260.5 574.2 642.2 851.8 1054.5 1200.0 302.6 : 103.4 417.0 485.1 694.7 897.4 1042.9 1200.0 406.0 : 313.7 381.7 591.3 794.0 939.5 1096.6 1200.0 719.6 : 68.0 277.6 480.4 625.8 783.0 886.3 1200.0 787.7 : 209.6 412.3 557.8 714.9 818.3 1132.0 1200.0 997.3 : 202.7 348.2 505.3 608.7 922.4 990.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 68.0354 .. 313.6674 cents 245.63200 cents 68.03539 cents 2: 260.5095 .. 417.0352 cents 156.52567 cents -53.15787 cents 3: 405.9733 .. 591.2993 cents 185.32599 cents -11.06191 cents 4: 608.7007 .. 794.0267 cents 185.32599 cents 17.40146 cents 5: 782.9648 .. 939.4905 cents 156.52567 cents -11.06191 cents 6: 886.3326 .. 1131.9646 cents 245.63200 cents -53.15787 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 68.03539 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 313.66739 cents Average / Smallest step : 2.519697 Largest / Average step : 1.829726 Largest / Smallest step : 4.610356 Median interval of one step : 157.14173 cents, amount: 1 Least squares average step : 165.49409 cents, oct.: 1158.45865 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : CDBGAFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.35065 cents Scale diversity : 1.739036 Lumma stability : 0.127894 Lumma impropriety factor : 0.107033 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 : 4.71126 cents Number of recognisable fifths : 3, average 709.7457 cents Number of appreciable fifths : 1, average 694.6671 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 0 2 1 1 1 N T3 SD: 43.4811 c. M:-69.4668 c. 8: 1 1 1 2 0 2 1 P D3 S SD: 31.8189 c. M:-52.7274 c. 9: 1 1 1 2 1 1 2 P M ME S SD: 34.8892 c. M: 63.9392 c. 11: 1 2 1 3 0 2 2 N SD: 28.3029 c. M:-43.9957 c. 12: 1 2 1 3 1 2 2 P D3 SD: 19.4734 c. M: 45.4638 c. Makam Huzzam, Maqam Saba Zamzam, Phrygian flat 4 15: 2 2 1 4 1 2 3 N SD: 17.2825 c. M: 37.2726 c. 17: 2 2 2 4 1 3 3 P SD: 12.7239 c. M: 20.2525 c. 23: 3 3 2 6 1 4 4 N SD: 8.7783 c. M:-11.4180 c. 32: 4 4 3 8 2 6 5 N SD: 7.0999 c. M:-15.2274 c. 35: 4 5 3 9 2 6 6 N SD: 4.5425 c. M: 8.3209 c. 47: 6 6 4 12 3 8 8 N SD: 4.1376 c. M:-7.7277 c. 59: 7 8 5 15 4 10 10 N SD: 3.9279 c. M: 7.7763 c. 60: 7 8 5 16 3 11 10 N SD: 4.4531 c. M: 7.6761 c. 63: 8 8 5 17 3 11 11 N SD: 5.3044 c. M:-6.9172 c. 64: 8 8 6 16 4 11 11 N SD: 4.3653 c. M: 7.1407 c. 65: 8 8 6 17 4 11 11 N SD: 3.6929 c. M: 7.2209 c. 67: 8 9 6 17 4 12 11 N SD: 3.5260 c. M:-5.9670 c. 75: 9 10 6 20 4 13 13 N SD: 3.4061 c. M: 5.9733 c. 82: 10 11 7 21 5 14 14 N SD: 2.8054 c. M:-4.7116 c. 88: 11 11 8 23 5 15 15 N SD: 2.9367 c. M:-4.5362 c. 92: 11 12 8 24 5 16 16 N SD: 3.3749 c. M: 5.9682 c. 95: 12 12 8 25 5 17 16 N SD: 2.9698 c. M:-6.1152 c. 100: 12 13 9 26 6 17 17 N SD: 2.1871 c. M:-4.3239 c. 107: 13 14 9 28 6 19 18 N SD: 1.5279 c. M: 2.6293 c. 142: 17 19 12 37 8 25 24 N SD: 1.2458 c. M: 1.8018 c. 183: 22 24 16 48 10 32 31 N SD: 0.9591 c. M:-1.6708 c. 195: 24 25 17 51 11 34 33 N SD: 0.9554 c. M:-2.2285 c. 207: 25 27 18 54 12 36 35 N SD: 0.6389 c. M: 1.1562 c. 230: 28 30 20 60 13 40 39 N SD: 0.5439 c. M:-0.9832 c. 314: 38 41 27 82 18 55 53 N SD: 0.6417 c. M: 1.1693 c. 337: 41 44 29 88 19 59 57 N SD: 0.3790 c. M: 0.7324 c. 372: 45 49 32 97 21 65 63 N SD: 0.4425 c. M:-0.6203 c. 420: 51 55 36 110 24 73 71 N SD: 0.4037 c. M:-0.8954 c. 437: 53 57 38 114 25 76 74 N SD: 0.3655 c. M: 0.5460 c. 527: 64 69 45 138 30 92 89 N SD: 0.2956 c. M: 0.6602 c. 544: 66 71 47 142 31 95 92 N SD: 0.2761 c. M: 0.5230 c. 579: 70 76 50 151 33 101 98 N SD: 0.2897 c. M: 0.4697 c. 710: 86 93 61 186 40 124 120 N SD: 0.1981 c. M:-0.3593 c. 757: 92 99 65 198 43 132 128 N SD: 0.1919 c. M:-0.3751 c. 824: 100 108 71 215 47 144 139 N SD: 0.2425 c. M:-0.3374 c. 899: 109 118 77 235 51 157 152 N SD: 0.1966 c. M:-0.3979 c. 917: 111 120 79 240 52 160 155 N SD: 0.1955 c. M: 0.3154 c. 940: 114 123 81 246 53 164 159 N SD: 0.1691 c. M:-0.3593 c. 964: 117 126 83 252 55 168 163 N SD: 0.1722 c. M:-0.2907 c. 972: 118 127 84 254 55 170 164 N SD: 0.1624 c. M:-0.2583 c. 1082: 131 142 93 283 61 189 183 N SD: 0.1668 c. M: 0.2454 c. 1106: 134 145 95 289 63 193 187 N SD: 0.1536 c. M: 0.2917 c. 1114: 135 146 96 291 63 195 188 N SD: 0.1397 c. M: 0.2434 c. 1254: 152 164 108 328 71 219 212 N SD: 0.1383 c. M: 0.2317 c. 1289: 156 169 111 337 73 225 218 N SD: 0.1309 c. M: 0.2349 c. 1321: 160 173 114 345 75 231 223 N SD: 0.1189 c. M: 0.1857 c. 1534: 186 201 132 401 87 268 259 N SD: 0.0763 c. M:-0.1325 c. 1741: 211 228 150 455 99 304 294 N SD: 0.0688 c. M:-0.1470 c. 1871: 227 245 161 489 106 327 316 N SD: 0.0758 c. M:-0.1268 c. 1971: 239 258 170 515 112 344 333 N SD: 0.0733 c. M:-0.1474 c. 2031: 246 266 175 531 115 355 343 N SD: 0.0741 c. M: 0.1166 c. 2078: 252 272 179 543 118 363 351 N SD: 0.0469 c. M: 0.1027 c. 2113: 256 277 182 552 120 369 357 N SD: 0.0670 c. M: 0.0950 c. 2261: 274 296 195 591 128 395 382 N SD: 0.0479 c. M: 0.0845 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: 8.8428 cents 3 x x 4 x 5 x 6 S SD: 44.5031 cents 4 x x 5:6 x 7:8 S SD: 9.7098 cents 5 x 6 x x 8:9:10 S SD: 8.8724 cents 6 x 7:8:9 x 11:12 SD: 22.6100 cents 7 x 8:9 x 11:12:14 SD: 20.0909 cents 8:9 x 10:12:13:14:16 S SD: 14.6418 cents 9:10:11 x x 14:16:18 SD: 12.4760 cents 10:11:12:13:15:16:18:20 SD: 9.3474 cents 11:12:13:14:17 x 20:22 SD: 9.0032 cents 12:13:14:15:18:19:21:24 SD: 7.6865 cents 13:14:15:16:20 x 23:26 SD: 13.1671 cents 14:15:17:18:21:22:25:28 SD: 7.8645 cents 15:16:18:19:23:24:27:30 SD: 7.5900 cents 19:21:23:24:29:30:34:38 SD: 6.1203 cents 21:23:25:27:32:33:37:42 SD: 5.3272 cents 22:24:26:28:33:35:39:44 SD: 4.4032 cents 23:25:27:29:35:36:41:46 SD: 4.1853 cents 26:28:31:33:39:41:46:52 SD: 3.9081 cents 31:34:37:39:47:49:55:62 SD: 2.6432 cents 37:40:44:47:56:58:66:74 SD: 2.4728 cents 45:49:54:57:68:71:80:90 SD: 2.0860 cents 54:59:64:68:82:85:96:108 SD: 2.0195 cents 56:61:67:71:85:88:100:112 SD: 1.8632 cents 57:62:68:72:86:90:101:114 SD: 1.5984 cents 68:74:81:86:103:107:121:136 SD: 0.4587 cents 163:177:194:206:247:257:290:326 SD: 0.4541 cents 182:198:217:230:276:287:324:364 SD: 0.4046 cents 194:211:231:245:294:306:345:388 SD: 0.3457 cents 231:251:275:292:350:364:411:462 SD: 0.2818 cents 262:285:312:331:397:413:466:524 SD: 0.1954 cents 330:359:393:417:500:520:587:660 SD: 0.1572 cents 481:523:573:608:729:758:856:962 SD: 0.1469 cents 503:547:599:636:762:793:895:1006 SD: 0.1255 cents 571:621:680:722:865:900:1016:1142 SD: 0.1068 cents