Scala analysis: CD08_12_Egypt
Pièce instrumentale finale, Bashraf - Mustafa Fahreddin Dede (udhdhal, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 157.431 cents 157.431159 2: 294.802 cents 294.801827 3: 489.676 cents 489.675744 4: 661.889 cents 661.889418 5: 787.382 cents 787.382006 6: 893.381 cents 893.380953 7: 992.611 cents 992.611455 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 207.3885 cents 207.3885 1: 157.4312 cents 157.4312 2: 137.3707 cents 137.3707 3: 194.8739 cents 194.8739 4: 172.2137 cents 172.2137 5: 125.4926 cents 125.4926 6: 105.9989 cents 105.9989 7: 99.2305 cents 99.2305 8: 207.3885 cents 207.3885
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 99.23050 cents 1: 1 105.99895 cents 1: 1 125.49259 cents 1: 1 137.37067 cents 1: 1 157.43116 cents 1: 1 172.21367 cents 1: 1 194.87392 cents 1: 1 207.38855 cents 2: 1 205.22945 cents 2: 1 231.49153 cents 2: 1 294.80183 cents 2: 1 297.70626 cents 2: 1 306.61905 cents 2: 1 332.24458 cents 2: 1 364.81970 cents 2: 1 367.08759 cents 3: 1 330.72204 cents 3: 1 403.70521 cents 3: 1 412.61799 cents 3: 1 464.05021 cents 3: 1 489.67574 cents 3: 1 492.58018 cents 3: 1 502.19037 cents 3: 1 504.45826 cents 4: 1 502.93571 cents 4: 1 538.11058 cents 4: 1 570.04915 cents 4: 1 598.57913 cents 4: 1 601.42087 cents 4: 1 629.95085 cents 4: 1 661.88942 cents 4: 1 697.06429 cents 5: 1 695.54174 cents 5: 1 697.80963 cents 5: 1 707.41982 cents 5: 1 710.32426 cents 5: 1 735.94979 cents 5: 1 787.38201 cents 5: 1 796.29479 cents 5: 1 869.27796 cents 6: 1 832.91241 cents 6: 1 835.18030 cents 6: 1 867.75541 cents 6: 1 893.38095 cents 6: 1 902.29374 cents 6: 1 905.19817 cents 6: 1 968.50847 cents 6: 1 994.77055 cents 7: 1 992.61145 cents 7: 1 1005.12608 cents 7: 1 1027.78633 cents 7: 1 1042.56884 cents 7: 1 1062.62933 cents 7: 1 1074.50741 cents 7: 1 1094.00105 cents 7: 1 1100.76950 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 157.4 294.8 489.7 661.9 787.4 893.4 992.6 1200.0 157.4 : 137.4 332.2 504.5 630.0 735.9 835.2 1042.6 1200.0 294.8 : 194.9 367.1 492.6 598.6 697.8 905.2 1062.6 1200.0 489.7 : 172.2 297.7 403.7 502.9 710.3 867.8 1005.1 1200.0 661.9 : 125.5 231.5 330.7 538.1 695.5 832.9 1027.8 1200.0 787.4 : 106.0 205.2 412.6 570.0 707.4 902.3 1074.5 1200.0 893.4 : 99.2 306.6 464.1 601.4 796.3 968.5 1094.0 1200.0 992.6 : 207.4 364.8 502.2 697.1 869.3 994.8 1100.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 99.2305 .. 207.3885 cents 108.15804 cents 99.23050 cents 2: 205.2294 .. 367.0876 cents 161.85814 cents -2.15910 cents 3: 330.7220 .. 504.4583 cents 173.73622 cents -36.36555 cents 4: 502.9357 .. 697.0643 cents 194.12858 cents -1.52255 cents 5: 695.5417 .. 869.2780 cents 173.73622 cents -1.52255 cents 6: 832.9124 .. 994.7706 cents 161.85814 cents -36.36555 cents 7: 992.6115 .. 1100.7695 cents 108.15804 cents -2.15910 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 99.23050 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 207.38855 cents Average / Smallest step : 1.511632 Largest / Average step : 1.382590 Largest / Smallest step : 2.089968 Median interval of one step : 147.40091 cents, amount: 0 Least squares average step : 150.53478 cents, oct.: 1204.27826 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : EDGFCBAH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.74534 cents Scale diversity : 1.601169 Lumma stability : 0.165384 Lumma impropriety factor : 0.066745 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 0.74534 cents Number of recognisable fifths : 5, average 701.6319 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 0 2 N T3 SD: 44.0239 c. M: 92.6115 c. 9: 1 1 2 1 1 1 0 2 N SD: 32.7307 c. M: 59.2781 c. 12: 2 1 2 2 1 1 1 2 N D3 SD: 21.3768 c. M:-42.5688 c. Raga Mukhari, Anandabhairavi, Deshi (Desi), Khat, Manji, Gregorian nr.1, Dorian/Aeolian mixed 15: 2 2 2 2 2 1 1 3 N SD: 18.0834 c. M: 32.6115 c. 17: 2 2 3 2 2 2 1 3 P SD: 15.3023 c. M: 26.5953 c. 20: 3 2 3 3 2 2 2 3 P D3 SD: 13.6107 c. M:-27.3885 c. 22: 3 2 4 3 2 2 2 4 N SD: 14.5266 c. M: 23.7456 c. 23: 3 3 3 4 2 2 2 4 N SD: 11.5748 c. M: 20.1105 c. 24: 3 3 4 3 3 2 2 4 P SD: 8.5718 c. M:-12.6180 c. 29: 4 3 5 4 3 3 2 5 N SD: 7.3193 c. M:-16.9639 c. 36: 5 4 6 5 4 3 3 6 N SD: 7.9005 c. M:-12.6180 c. 40: 5 5 6 6 4 4 3 7 N SD: 5.9640 c. M: 9.6757 c. 46: 6 5 8 6 5 4 4 8 N SD: 5.6817 c. M: 9.7155 c. 47: 6 6 7 7 5 4 4 8 N SD: 5.0434 c. M:-11.5812 c. 52: 7 6 8 8 5 5 4 9 N SD: 4.6764 c. M:-7.3414 c. 58: 8 6 10 8 6 5 5 10 N SD: 4.3973 c. M:-8.0861 c. 69: 9 8 11 10 7 6 6 12 N SD: 3.0771 c. M: 6.4244 c. 81: 11 9 13 12 8 7 7 14 N SD: 3.1875 c. M:-5.5318 c. 85: 11 10 14 12 9 7 7 15 N SD: 3.0610 c. M:-4.4419 c. 86: 11 10 14 12 9 8 7 15 N SD: 3.4812 c. M: 6.0755 c. 90: 12 10 15 13 9 8 7 16 N SD: 3.1782 c. M: 5.9448 c. 91: 12 10 15 13 10 8 7 16 N SD: 2.9775 c. M: 4.6919 c. 93: 12 11 15 13 10 8 8 16 N SD: 2.1205 c. M: 3.8249 c. 98: 13 11 16 14 10 9 8 17 N SD: 1.5404 c. M: 3.7085 c. 105: 14 12 17 15 11 9 9 18 N SD: 1.7363 c. M:-2.5688 c. 122: 16 14 20 17 13 11 10 21 N SD: 1.4445 c. M: 2.8730 c. 145: 19 17 23 21 15 13 12 25 N SD: 1.3044 c. M:-3.1292 c. 183: 24 21 30 26 19 16 15 32 N SD: 1.2990 c. M: 2.4475 c. 191: 25 22 31 27 20 17 16 33 N SD: 1.1759 c. M: 2.2036 c. 192: 25 22 31 28 20 17 16 33 N SD: 1.0639 c. M: 2.1757 c. 203: 27 23 33 29 21 18 17 35 N SD: 1.0304 c. M:-2.1748 c. 216: 28 25 35 31 23 19 18 37 N SD: 1.2058 c. M: 1.8756 c. 220: 29 25 36 31 23 20 18 38 N SD: 1.1622 c. M: 1.9275 c. 227: 30 26 37 32 24 20 19 39 N SD: 1.0873 c. M:-1.9542 c. 228: 30 26 37 33 24 20 19 39 N SD: 1.2550 c. M:-2.1254 c. 230: 30 27 37 33 24 20 19 40 N SD: 1.2242 c. M:-2.5895 c. 232: 30 27 38 33 24 21 19 40 N SD: 1.2121 c. M: 2.2587 c. 235: 31 27 38 34 24 21 19 41 N SD: 1.2054 c. M: 1.9732 c. 236: 31 27 38 34 25 21 19 41 N SD: 0.9543 c. M: 1.5402 c. 250: 33 28 41 36 26 22 21 43 N SD: 0.9056 c. M: 2.0018 c. 265: 35 30 43 38 28 23 22 46 N SD: 0.8004 c. M: 1.3055 c. 290: 38 33 47 42 30 26 24 50 N SD: 0.7777 c. M: 1.3999 c. 297: 39 34 48 43 31 26 25 51 N SD: 0.6537 c. M:-1.3279 c. 306: 40 35 50 44 32 27 25 53 N SD: 0.6395 c. M:-0.8557 c. 326: 43 37 53 47 34 29 27 56 N SD: 0.7254 c. M:-1.2536 c. 341: 45 39 55 49 36 30 28 59 N SD: 0.6046 c. M:-0.9266 c. 375: 49 43 61 54 39 33 31 65 N SD: 0.4431 c. M: 0.6312 c. 451: 59 52 73 65 47 40 37 78 N SD: 0.4143 c. M:-0.6383 c. 473: 62 54 77 68 49 42 39 82 N SD: 0.4649 c. M: 0.9127 c. 480: 63 55 78 69 50 42 40 83 N SD: 0.4069 c. M: 0.8810 c. 497: 65 57 81 71 52 44 41 86 N SD: 0.3056 c. M: 0.4895 c. 602: 79 69 98 86 63 53 50 104 N SD: 0.2888 c. M:-0.6897 c. 654: 86 75 106 94 68 58 54 113 N SD: 0.3355 c. M:-0.6110 c. 678: 89 78 110 97 71 60 56 117 N SD: 0.4008 c. M:-0.7734 c. 684: 90 78 111 98 72 60 57 118 N SD: 0.3366 c. M: 0.4859 c. 689: 90 79 112 99 72 61 57 119 N SD: 0.3172 c. M: 0.6822 c. 701: 92 80 114 101 73 62 58 121 N SD: 0.2752 c. M:-0.5928 c. 716: 94 82 116 103 75 63 59 124 N SD: 0.2351 c. M: 0.4327 c. 794: 104 91 129 114 83 70 66 137 N SD: 0.1673 c. M:-0.3356 c. 838: 110 96 136 120 88 74 69 145 N SD: 0.1872 c. M: 0.3142 c. 892: 117 102 145 128 93 79 74 154 N SD: 0.1736 c. M: 0.3865 c. 1088: 143 124 177 156 114 96 90 188 N SD: 0.1642 c. M: 0.3165 c. 1128: 148 129 183 162 118 100 93 195 N SD: 0.1694 c. M: 0.3140 c. 1135: 149 130 184 163 119 100 94 196 N SD: 0.1483 c. M:-0.2832 c. 1213: 159 139 197 174 127 107 100 210 N SD: 0.1429 c. M: 0.3608 c. 1233: 162 141 200 177 129 109 102 213 N SD: 0.1122 c. M:-0.2331 c. 1318: 173 151 214 189 138 116 109 228 N SD: 0.1508 c. M: 0.2095 c. 1343: 176 154 218 193 140 119 111 232 N SD: 0.1332 c. M:-0.2104 c. 1503: 197 172 244 216 157 133 124 260 N SD: 0.1528 c. M: 0.2546 c. 1510: 198 173 245 217 158 133 125 261 N SD: 0.1023 c. M:-0.1677 c. 1539: 202 176 250 221 161 136 127 266 N SD: 0.0967 c. M:-0.1863 c. 1608: 211 184 261 231 168 142 133 278 N SD: 0.0700 c. M: 0.1235 c. 1730: 227 198 281 248 181 153 143 299 N SD: 0.0678 c. M: 0.1553 c. 2105: 276 241 342 302 220 186 174 364 N SD: 0.0779 c. M: 0.1174 c. 2181: 286 250 354 313 228 193 180 377 N SD: 0.0740 c. M:-0.1541 c. 2333: 306 267 379 335 244 206 193 403 N SD: 0.0704 c. M:-0.1019 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x 4 S SD: 20.0328 cents 3 x x 4 x x 5 x 6 S SD: 4.1021 cents 4 x 5 x 6 x x 7:8 S SD: 25.6727 cents 5 x 6 x 7:8 x 9:10 S SD: 17.9457 cents 6 x 7:8:9 x 10:11:12 S SD: 12.6464 cents 7 x 8:9:10:11:12 x 14 S SD: 17.1627 cents 8:9 x 11:12 x 13:14:16 SD: 17.4201 cents 9:10:11:12:13:14:15:16:18 S SD: 8.5677 cents 12:13:14:16:18:19:20:21:24 S SD: 7.4215 cents 18:20:21:24:26:28:30:32:36 S SD: 6.5080 cents 19:21:23:25:28:30:32:34:38 SD: 5.8081 cents 21:23:25:28:31:33:35:37:42 SD: 2.8588 cents 31:34:37:41:45:49:52:55:62 SD: 2.7423 cents 40:44:47:53:59:63:67:71:80 SD: 2.5895 cents 43:47:51:57:63:68:72:76:86 SD: 1.2314 cents 64:70:76:85:94:101:107:114:128 SD: 1.2149 cents 71:78:84:94:104:112:119:126:142 SD: 0.9866 cents 92:101:109:122:135:145:154:163:184 SD: 0.7086 cents 125:137:148:166:183:197:209:222:250 SD: 0.6688 cents 129:141:153:171:189:203:216:229:258 SD: 0.6064 cents 146:160:173:194:214:230:245:259:292 SD: 0.5061 cents 178:195:211:236:261:281:298:316:356 SD: 0.4805 cents 189:207:224:251:277:298:317:335:378 SD: 0.3972 cents 200:219:237:265:293:315:335:355:400 SD: 0.3847 cents 221:242:262:293:324:348:370:392:442 SD: 0.3021 cents 253:277:300:336:371:399:424:449:506 SD: 0.2954 cents 275:301:326:365:403:433:461:488:550 SD: 0.2718 cents 318:348:377:422:466:501:533:564:636 SD: 0.2214 cents 346:379:410:459:507:545:580:614:692 SD: 0.2190 cents 367:402:435:487:538:578:615:651:734 SD: 0.1672 cents 410:449:486:544:601:646:687:727:820 SD: 0.1477 cents 453:496:537:601:664:714:759:804:906 SD: 0.1151 cents 474:519:562:629:695:747:794:841:948 SD: 0.1056 cents