Scala analysis: CD07_14_Egypt
Suite - Taha Abû Mandûr (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 179.103 cents 179.102564 2: 337.829 cents 337.829272 3: 574.164 cents 574.164234 4: 718.781 cents 718.780644 5: 858.587 cents 858.586939 6: 990.942 cents 990.941942 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 209.0581 cents 209.0581 1: 179.1026 cents 179.1026 2: 158.7267 cents 158.7267 3: 236.3350 cents 236.3350 4: 144.6164 cents 144.6164 5: 139.8063 cents 139.8063 6: 132.3550 cents 132.3550 7: 209.0581 cents 209.0581
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 132.35500 cents 1: 1 139.80630 cents 1: 1 144.61641 cents 1: 1 158.72671 cents 1: 1 179.10256 cents 1: 1 209.05806 cents 1: 1 236.33496 cents 2: 1 272.16130 cents 2: 1 284.42271 cents 2: 1 337.82927 cents 2: 1 341.41306 cents 2: 1 380.95137 cents 2: 1 388.16062 cents 2: 1 395.06167 cents 3: 1 416.77771 cents 3: 1 481.21936 cents 3: 1 520.51563 cents 3: 1 520.75767 cents 3: 1 539.67808 cents 3: 1 546.88733 cents 3: 1 574.16423 cents 4: 1 625.83577 cents 4: 1 653.11267 cents 4: 1 660.32192 cents 4: 1 679.24233 cents 4: 1 679.48437 cents 4: 1 718.78064 cents 4: 1 783.22229 cents 5: 1 804.93833 cents 5: 1 811.83938 cents 5: 1 819.04863 cents 5: 1 858.58694 cents 5: 1 862.17073 cents 5: 1 915.57730 cents 5: 1 927.83870 cents 6: 1 963.66504 cents 6: 1 990.94194 cents 6: 1 1020.89744 cents 6: 1 1041.27329 cents 6: 1 1055.38359 cents 6: 1 1060.19371 cents 6: 1 1067.64500 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 : 179.1 337.8 574.2 718.8 858.6 990.9 1200.0 179.1 : 158.7 395.1 539.7 679.5 811.8 1020.9 1200.0 337.8 : 236.3 381.0 520.8 653.1 862.2 1041.3 1200.0 574.2 : 144.6 284.4 416.8 625.8 804.9 963.7 1200.0 718.8 : 139.8 272.2 481.2 660.3 819.0 1055.4 1200.0 858.6 : 132.4 341.4 520.5 679.2 915.6 1060.2 1200.0 990.9 : 209.1 388.2 546.9 783.2 927.8 1067.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 132.3550 .. 236.3350 cents 103.97996 cents 132.35500 cents 2: 272.1613 .. 395.0617 cents 122.90037 cents 35.82634 cents 3: 416.7777 .. 574.1642 cents 157.38653 cents 21.71604 cents 4: 625.8358 .. 783.2223 cents 157.38653 cents 51.67153 cents 5: 804.9383 .. 927.8387 cents 122.90037 cents 21.71604 cents 6: 963.6650 .. 1067.6450 cents 103.97996 cents 35.82634 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 132.35500 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 236.33496 cents Average / Smallest step : 1.295218 Largest / Average step : 1.378621 Largest / Smallest step : 1.785614 Median interval of one step : 158.72671 cents, amount: 1 Least squares average step : 172.07831 cents, oct.: 1204.54814 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : EDGCBAF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 21.71604 cents Scale diversity : 1.561798 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.359555 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 : 0.24204 cents Number of recognisable fifths : 1, average 718.7806 cents Number of appreciable fifths : 0 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: 29.7154 c. M: 59.8785 c. Lebeng 8: 1 1 2 1 1 1 1 P M ME S SD: 36.1011 c. M:-59.0581 c. 10: 1 2 2 1 1 1 2 N D3 SD: 29.1707 c. M: 59.1026 c. 11: 2 1 2 2 1 1 2 P D3 S SD: 26.0716 c. M:-44.8557 c. 12: 2 1 3 1 2 1 2 P D3 SD: 25.8707 c. M:-41.4131 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 13: 2 2 2 2 1 2 2 SP M ME S SD: 21.3404 c. M:-31.4015 c. Glacial-7, Lobonian 15: 2 2 3 2 2 1 3 P T3 SD: 18.1298 c. M: 30.9419 c. 17: 3 2 3 2 2 2 3 P D3 SD: 15.5436 c. M:-32.6621 c. Otonal 17 18: 3 2 4 2 2 2 3 P SD: 14.5578 c. M:-25.8358 c. 19: 3 2 4 2 3 2 3 SP D3 SD: 17.9066 c. M:-25.6236 c. 21: 3 3 4 3 2 2 4 P SD: 12.2719 c. M:-24.0765 c. 25: 4 3 5 3 3 3 4 SP SD: 8.4077 c. M:-17.0581 c. 28: 4 4 5 4 3 3 5 SP SD: 8.4445 c. M: 17.0214 c. 29: 4 4 6 3 4 3 5 P SD: 9.2942 c. M: 15.3324 c. 32: 5 4 6 4 4 3 6 P SD: 8.5822 c. M: 15.9419 c. 33: 5 4 7 4 4 3 6 P SD: 8.7236 c. M:-14.1403 c. 35: 5 5 7 4 4 4 6 P SD: 4.9927 c. M:-8.6929 c. 46: 7 6 9 6 5 5 8 SP SD: 4.7088 c. M:-11.6541 c. 52: 8 7 10 6 6 6 9 SP SD: 4.5226 c. M:-8.3246 c. 53: 8 7 10 7 6 6 9 SP SD: 4.4327 c. M: 8.1265 c. 59: 9 8 11 7 7 7 10 SP SD: 5.3351 c. M:-7.9334 c. 60: 9 8 12 7 7 7 10 SP SD: 4.2276 c. M:-9.0581 c. 63: 9 9 12 8 7 7 11 SP SD: 4.1274 c. M: 7.6740 c. 67: 10 9 13 8 8 7 12 SP SD: 2.6297 c. M: 5.8673 c. 75: 11 10 15 9 9 8 13 SP SD: 2.6254 c. M:-5.4131 c. 82: 12 11 16 10 10 9 14 SP SD: 3.1447 c. M:-4.8277 c. 85: 13 11 17 10 10 9 15 SP SD: 2.8738 c. M:-4.6593 c. 88: 13 12 17 11 10 10 15 SP SD: 2.7016 c. M:-4.5126 c. 92: 14 12 18 11 11 10 16 SP SD: 1.7452 c. M:-3.5061 c. 102: 15 14 20 12 12 11 18 SP SD: 2.1420 c. M:-3.3472 c. 113: 17 15 22 14 13 12 20 SP SD: 2.1155 c. M:-3.3432 c. 115: 17 15 23 14 13 13 20 SP SD: 2.0199 c. M: 3.9162 c. 120: 18 16 23 15 14 13 21 SP SD: 1.9723 c. M: 4.1642 c. 127: 19 17 25 15 15 14 22 SP SD: 1.4107 c. M:-2.3282 c. 155: 23 21 30 19 18 17 27 SP SD: 1.3456 c. M:-2.8159 c. 159: 24 21 31 19 19 17 28 SP SD: 1.6576 c. M: 2.2627 c. 161: 24 21 32 19 19 18 28 SP SD: 1.6385 c. M: 3.2527 c. 167: 25 22 33 20 19 19 29 SP SD: 1.3889 c. M: 3.4971 c. 173: 26 23 34 21 20 19 30 SP SD: 1.6153 c. M:-2.6066 c. 180: 27 24 35 22 21 20 31 SP SD: 1.4837 c. M:-2.3914 c. 182: 27 24 36 22 21 20 32 SP SD: 1.1791 c. M: 1.9310 c. 200: 30 26 40 24 23 22 35 SP SD: 1.2095 c. M:-1.8358 c. 207: 31 27 41 25 24 23 36 SP SD: 0.7069 c. M: 1.5974 c. 242: 36 32 48 29 28 27 42 SP SD: 0.6618 c. M:-1.0424 c. 274: 41 36 54 33 32 30 48 SP SD: 0.5902 c. M: 1.1609 c. 309: 46 41 61 37 36 34 54 SP SD: 0.4163 c. M: 0.6507 c. 334: 50 44 66 40 39 37 58 SP SD: 0.4282 c. M:-0.6861 c. 362: 54 48 71 44 42 40 63 SP SD: 0.3625 c. M: 0.6836 c. 401: 60 53 79 48 47 44 70 SP SD: 0.3862 c. M: 0.5762 c. 489: 73 65 96 59 57 54 85 SP SD: 0.3877 c. M:-0.8210 c. 516: 77 68 102 62 60 57 90 SP SD: 0.3253 c. M: 0.6200 c. 569: 85 75 112 69 66 63 99 SP SD: 0.3230 c. M: 0.5263 c. 604: 90 80 119 73 70 67 105 SP SD: 0.2855 c. M:-0.4488 c. 608: 91 80 120 73 71 67 106 SP SD: 0.2794 c. M:-0.5027 c. 636: 95 84 125 77 74 70 111 SP SD: 0.2733 c. M: 0.5793 c. 643: 96 85 127 77 75 71 112 SP SD: 0.2685 c. M:-0.6414 c. 671: 100 89 132 81 78 74 117 SP SD: 0.1655 c. M: 0.2650 c. 763: 114 101 150 92 89 84 133 SP SD: 0.1588 c. M:-0.3097 c. 878: 131 116 173 106 102 97 153 SP SD: 0.1574 c. M: 0.2726 c. 970: 145 128 191 117 113 107 169 SP SD: 0.1250 c. M:-0.2789 c. 1005: 150 133 198 121 117 111 175 SP SD: 0.0854 c. M:-0.1641 c. 1574: 235 208 310 190 183 174 274 SP SD: 0.1119 c. M:-0.1635 c. 1641: 245 217 323 198 191 181 286 SP SD: 0.0711 c. M: 0.1240 c. 1676: 250 222 330 202 195 185 292 SP SD: 0.0822 c. M:-0.1182 c. 1768: 264 234 348 213 206 195 308 SP SD: 0.0768 c. M:-0.1798 c. 1883: 281 249 371 227 219 208 328 SP SD: 0.0767 c. M: 0.1695 c. 1975: 295 261 389 238 230 218 344 SP SD: 0.0590 c. M:-0.1379 c. 2284: 341 302 450 275 266 252 398 SP SD: 0.0590 c. M: 0.0931 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: 8.4128 cents 3 x x 4 x 5 x 6 S SD: 26.7879 cents 4 x 5 x 6 x 7:8 S SD: 13.9709 cents 5 x 6:7 x 8:9:10 S SD: 11.4691 cents 6 x 7:8:9:10:11:12 S SD: 20.5410 cents 7:8:9:10:11 x 12:14 S SD: 24.4088 cents 8:9:10:11:12:13:14:16 S SD: 9.6748 cents 10:11:12:14:15:16:18:20 S SD: 8.7719 cents 17:19:21:24:26:28:30:34 SD: 6.1517 cents 18:20:22:25:27:30:32:36 SD: 4.7512 cents 25:28:30:35:38:41:44:50 SD: 4.6209 cents 27:30:33:38:41:44:48:54 SD: 3.5767 cents 28:31:34:39:42:46:50:56 SD: 3.0664 cents 36:40:44:50:55:59:64:72 SD: 2.8324 cents 43:48:52:60:65:71:76:86 SD: 2.6395 cents 45:50:55:63:68:74:80:90 SD: 2.1269 cents 54:60:66:75:82:89:96:108 SD: 2.1172 cents 56:62:68:78:85:92:99:112 SD: 0.9719 cents 84:93:102:117:127:138:149:168 SD: 0.6963 cents 120:133:146:167:182:197:213:240 SD: 0.6276 cents 140:155:170:195:212:230:248:280 SD: 0.5254 cents 148:164:180:206:224:243:262:296 SD: 0.5029 cents 167:185:203:233:253:274:296:334 SD: 0.4843 cents 173:192:210:241:262:284:307:346 SD: 0.4804 cents 181:201:220:252:274:297:321:362 SD: 0.4599 cents 185:205:225:258:280:304:328:370 SD: 0.4346 cents 204:226:248:284:309:335:362:408 SD: 0.4308 cents 229:254:278:319:347:376:406:458 SD: 0.3347 cents 237:263:288:330:359:389:420:474 SD: 0.2557 cents 321:356:390:447:486:527:569:642 SD: 0.2040 cents 330:366:401:460:500:542:585:660 SD: 0.1740 cents 338:375:411:471:512:555:599:676 SD: 0.1594 cents 422:468:513:588:639:693:748:844 SD: 0.0825 cents