Scala analysis: CD06_05_Egypt
Moi, l'égyptien / Ô vie de l'âme - Muhammad al-Bahr (ajam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 210.720 cents 210.719908 2: 402.426 cents 402.426049 3: 597.500 cents 597.500482 4: 707.746 cents 707.745669 5: 915.614 cents 915.613760 6: 1097.878 cents 1097.877666 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 102.1223 cents 102.1223 1: 210.7199 cents 210.7199 2: 191.7061 cents 191.7061 3: 195.0744 cents 195.0744 4: 110.2452 cents 110.2452 5: 207.8681 cents 207.8681 6: 182.2639 cents 182.2639 7: 102.1223 cents 102.1223
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 102.12233 cents 1: 1 110.24519 cents 1: 1 182.26391 cents 1: 1 191.70614 cents 1: 1 195.07443 cents 1: 1 207.86809 cents 1: 1 210.71991 cents 2: 1 284.38624 cents 2: 1 305.31962 cents 2: 1 312.84224 cents 2: 1 318.11328 cents 2: 1 386.78057 cents 2: 1 390.13200 cents 2: 1 402.42605 cents 3: 1 492.25433 cents 3: 1 495.10615 cents 3: 1 497.02576 cents 3: 1 500.37718 cents 3: 1 504.54838 cents 3: 1 513.18771 cents 3: 1 597.50048 cents 4: 1 602.49952 cents 4: 1 686.81229 cents 4: 1 695.45162 cents 4: 1 699.62282 cents 4: 1 702.97424 cents 4: 1 704.89385 cents 4: 1 707.74567 cents 5: 1 797.57395 cents 5: 1 809.86800 cents 5: 1 813.21943 cents 5: 1 881.88672 cents 5: 1 887.15776 cents 5: 1 894.68038 cents 5: 1 915.61376 cents 6: 1 989.28009 cents 6: 1 992.13191 cents 6: 1 1004.92557 cents 6: 1 1008.29386 cents 6: 1 1017.73609 cents 6: 1 1089.75481 cents 6: 1 1097.87767 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 : 210.7 402.4 597.5 707.7 915.6 1097.9 1200.0 210.7 : 191.7 386.8 497.0 704.9 887.2 989.3 1200.0 402.4 : 195.1 305.3 513.2 695.5 797.6 1008.3 1200.0 597.5 : 110.2 318.1 500.4 602.5 813.2 1004.9 1200.0 707.7 : 207.9 390.1 492.3 703.0 894.7 1089.8 1200.0 915.6 : 182.3 284.4 495.1 686.8 881.9 992.1 1200.0 1097.9: 102.1 312.8 504.5 699.6 809.9 1017.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 102.1223 .. 210.7199 cents 108.59757 cents 102.12233 cents 2: 284.3862 .. 402.4260 cents 118.03981 cents 73.66633 cents 3: 492.2543 .. 597.5005 cents 105.24615 cents 89.82828 cents 4: 602.4995 .. 707.7457 cents 105.24615 cents 4.99904 cents 5: 797.5740 .. 915.6138 cents 118.03981 cents 89.82828 cents 6: 989.2801 .. 1097.8777 cents 108.59757 cents 73.66633 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 102.12233 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 210.71991 cents Average / Smallest step : 1.678659 Largest / Average step : 1.229199 Largest / Smallest step : 2.063407 Median interval of one step : 191.70614 cents, amount: 1 Least squares average step : 180.03136 cents, oct.: 1260.21955 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : GDEBFCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.99904 cents Scale diversity : 1.459231 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.446861 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 : 1.91961 cents Number of recognisable fifths : 6, average 699.5834 cents Number of appreciable fifths : 5, average 702.1376 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% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 54.4118 c. M: 83.2148 c. Lebeng 8: 1 2 1 1 1 1 1 P M ME S SD: 38.3181 c. M: 60.7199 c. 10: 2 1 2 1 2 1 1 P M ME S SD: 27.0012 c. M:-44.3862 c. 12: 2 2 2 1 2 2 1 P M ME S SD: 7.8861 c. M: 15.6138 c. G.Hypolydian, M.Lydian, G.M.Hypolocrian, Rut biscale ascending, Kalyan That (Yaman), Mela Mecakalyani, Raga Chandrakant, Malarani, Shuddh Kalyan, Ping, Kung, Gu: China 34: 6 5 6 3 6 5 3 P T3 SD: 5.7379 c. M: 14.1908 c. 38: 7 6 6 3 7 6 3 P SD: 7.5822 c. M: 13.0088 c. 39: 7 6 6 4 7 6 3 SP SD: 7.0275 c. M: 12.8851 c. 42: 7 7 7 4 7 6 4 P SD: 6.7563 c. M: 12.1634 c. 44: 8 7 7 4 8 6 4 P SD: 6.4658 c. M:-11.6590 c. 46: 8 7 8 4 8 7 4 P T3 SD: 4.7380 c. M: 11.1217 c. 47: 8 8 7 5 8 7 4 SP SD: 5.9498 c. M: 10.2664 c. 51: 9 8 8 5 9 8 4 SP SD: 4.8477 c. M: 9.2652 c. 56: 10 9 9 5 10 8 5 P SD: 3.7908 c. M:-5.8148 c. 68: 12 11 11 6 12 10 6 P SD: 2.4210 c. M: 3.7600 c. 80: 14 13 13 7 14 12 7 P SD: 2.0559 c. M: 2.8777 c. 114: 20 18 19 10 20 17 10 P SD: 2.0082 c. M: 3.1408 c. 119: 21 19 19 11 21 18 10 SP SD: 1.5893 c. M: 2.5425 c. 131: 23 21 21 12 23 20 11 SP SD: 1.3371 c. M: 2.4022 c. 143: 25 23 23 13 25 22 12 SP SD: 1.4586 c. M: 2.8506 c. 161: 28 26 26 15 28 24 14 SP SD: 1.3096 c. M: 2.2255 c. 173: 30 28 28 16 30 26 15 SP SD: 1.2878 c. M: 2.6274 c. 187: 33 30 30 17 33 28 16 SP SD: 1.3593 c. M:-2.0333 c. 199: 35 32 32 18 35 30 17 SP SD: 1.1295 c. M: 2.2180 c. 211: 37 34 34 19 37 32 18 SP SD: 1.1048 c. M: 2.5324 c. 215: 38 34 35 20 37 33 18 SP SD: 0.9485 c. M:-1.6572 c. 227: 40 36 37 21 39 35 19 SP SD: 0.8764 c. M:-1.6818 c. 269: 47 43 44 25 46 41 23 SP SD: 0.9210 c. M:-1.5480 c. 271: 48 43 44 25 47 41 23 SP SD: 0.8704 c. M:-1.8262 c. 283: 50 45 46 26 49 43 24 SP SD: 0.5774 c. M:-1.2942 c. 295: 52 47 48 27 51 45 25 SP SD: 0.4246 c. M:-0.8055 c. 376: 66 60 61 35 65 57 32 SP SD: 0.4273 c. M:-0.7650 c. 388: 68 62 63 36 67 59 33 SP SD: 0.3647 c. M: 0.5933 c. 456: 80 73 74 42 79 69 39 SP SD: 0.2419 c. M: 0.5092 c. 468: 82 75 76 43 81 71 40 SP SD: 0.2642 c. M: 0.4635 c. 671: 118 107 109 62 116 102 57 SP SD: 0.2297 c. M:-0.4511 c. 683: 120 109 111 63 118 104 58 SP SD: 0.1846 c. M:-0.3070 c. 751: 132 120 122 69 130 114 64 SP SD: 0.1413 c. M:-0.2371 c. 1139: 200 182 185 105 197 173 97 SP SD: 0.1130 c. M:-0.2438 c. 1151: 202 184 187 106 199 175 98 SP SD: 0.1253 c. M: 0.2358 c. 1372: 241 219 223 126 238 208 117 SP SD: 0.1293 c. M: 0.2100 c. 1384: 243 221 225 127 240 210 118 SP SD: 0.1274 c. M: 0.2312 c. 1434: 252 229 233 132 248 218 122 SP SD: 0.1150 c. M:-0.2041 c. 1482: 260 237 241 136 257 225 126 SP SD: 0.1107 c. M: 0.1936 c. 1565: 275 250 254 144 271 238 133 SP SD: 0.1188 c. M: 0.1842 c. 1599: 281 255 260 147 277 243 136 SP SD: 0.1075 c. M: 0.1746 c. 1667: 293 266 271 153 289 253 142 SP SD: 0.0984 c. M:-0.1979 c. 1679: 295 268 273 154 291 255 143 SP SD: 0.0931 c. M: 0.1816 c. 1765: 310 282 287 162 306 268 150 SP SD: 0.1056 c. M:-0.1936 c. 1777: 312 284 289 163 308 270 151 SP SD: 0.0878 c. M:-0.1527 c. 2043: 359 326 332 188 354 310 174 SP SD: 0.0967 c. M:-0.1465 c. 2055: 361 328 334 189 356 312 175 SP SD: 0.0719 c. M: 0.1282 c. 2067: 363 330 336 190 358 314 176 SP SD: 0.0726 c. M: 0.1130 c. 2165: 380 346 352 199 375 329 184 SP SD: 0.0698 c. M:-0.1362 c. 2233: 392 357 363 205 387 339 190 SP SD: 0.0637 c. M:-0.1050 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: 2.8953 cents 3 x 4 x x 5 x 6 S SD: 33.5325 cents 4 x 5 x 6:7 x 8 S SD: 13.9747 cents 5 x 6:7 x 8:9:10 S SD: 31.3628 cents 6:7:8 x 9:10:11:12 S SD: 20.8567 cents 7:8:9:10:11:12:13:14 H SD: 13.1424 cents 8:9:10:11:12:14:15:16 S SD: 10.4941 cents 10:11:13:14:15:17:19:20 SD: 10.3181 cents 14:16:18:20:21:24:26:28 S SD: 7.7062 cents 15:17:19:21:23:25:28:30 SD: 7.3183 cents 16:18:20:23:24:27:30:32 SD: 5.4845 cents 22:25:28:31:33:37:41:44 SD: 4.5976 cents 24:27:30:34:36:41:45:48 SD: 3.4823 cents 30:34:38:42:45:51:57:60 SD: 3.2792 cents 34:38:43:48:51:58:64:68 SD: 3.0968 cents 37:42:47:52:56:63:70:74 SD: 3.0173 cents 38:43:48:54:57:64:72:76 SD: 2.8963 cents 39:44:49:55:59:66:74:78 SD: 2.4144 cents 46:52:58:65:69:78:87:92 SD: 1.1884 cents 53:60:67:75:80:90:100:106 SD: 1.1864 cents 77:87:97:109:116:131:145:154 SD: 1.0238 cents 85:96:107:120:128:144:160:170 SD: 0.8277 cents 99:112:125:140:149:168:187:198 SD: 0.7255 cents 123:139:155:174:185:209:232:246 SD: 0.6544 cents 131:148:165:185:197:222:247:262 SD: 0.5848 cents 138:156:174:195:208:234:260:276 SD: 0.5504 cents 148:167:187:209:223:251:279:296 SD: 0.5373 cents 168:190:212:237:253:285:317:336 SD: 0.4955 cents 172:194:217:243:259:292:324:344 SD: 0.4473 cents 184:208:232:260:277:312:347:368 SD: 0.3808 cents 192:217:242:271:289:326:362:384 SD: 0.3524 cents 194:219:245:274:292:329:366:388 SD: 0.3518 cents 202:228:255:285:304:343:381:404 SD: 0.3508 cents 218:246:275:308:328:370:411:436 SD: 0.2636 cents 271:306:342:383:408:460:511:542 SD: 0.2365 cents 287:324:362:405:432:487:541:574 SD: 0.2337 cents 333:376:420:470:501:565:628:666 SD: 0.2060 cents 340:384:429:480:512:577:641:680 SD: 0.1598 cents 386:436:487:545:581:655:728:772 SD: 0.0962 cents