Scala analysis: CD07_15_Egypt
Danse lente, rythme Zar'î - 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: 193.485 cents 193.485472 2: 498.747 cents 498.747482 3: 713.194 cents 713.194118 4: 847.486 cents 847.486204 5: 1007.433 cents 1007.432513 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 192.5675 cents 192.5675 1: 193.4855 cents 193.4855 2: 305.2620 cents 305.2620 3: 214.4466 cents 214.4466 4: 134.2921 cents 134.2921 5: 159.9463 cents 159.9463 6: 192.5675 cents 192.5675
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 134.29209 cents 1: 1 159.94631 cents 1: 1 192.56749 cents 1: 1 193.48547 cents 1: 1 214.44664 cents 1: 1 305.26201 cents 2: 1 294.23839 cents 2: 1 348.73872 cents 2: 1 352.51380 cents 2: 1 386.05296 cents 2: 1 498.74748 cents 2: 1 519.70865 cents 3: 1 486.80588 cents 3: 1 508.68503 cents 3: 1 545.99927 cents 3: 1 654.00073 cents 3: 1 691.31497 cents 3: 1 713.19412 cents 4: 1 680.29135 cents 4: 1 701.25252 cents 4: 1 813.94704 cents 4: 1 847.48620 cents 4: 1 851.26128 cents 4: 1 905.76161 cents 5: 1 894.73799 cents 5: 1 985.55336 cents 5: 1 1006.51453 cents 5: 1 1007.43251 cents 5: 1 1040.05369 cents 5: 1 1065.70791 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 193.5 498.7 713.2 847.5 1007.4 1200.0 193.5 : 305.3 519.7 654.0 813.9 1006.5 1200.0 498.7 : 214.4 348.7 508.7 701.3 894.7 1200.0 713.2 : 134.3 294.2 486.8 680.3 985.6 1200.0 847.5 : 159.9 352.5 546.0 851.3 1065.7 1200.0 1007.4: 192.6 386.1 691.3 905.8 1040.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 134.2921 .. 305.2620 cents 170.96992 cents 134.29209 cents 2: 294.2384 .. 519.7086 cents 225.47025 cents -11.02361 cents 3: 486.8059 .. 713.1941 cents 226.38824 cents -32.90276 cents 4: 680.2914 .. 905.7616 cents 225.47025 cents -32.90276 cents 5: 894.7380 .. 1065.7079 cents 170.96992 cents -11.02362 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 134.29209 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 305.26201 cents Average / Smallest step : 1.489291 Largest / Average step : 1.526310 Largest / Smallest step : 2.273120 Median interval of one step : 193.02648 cents, amount: 0 Least squares average step : 208.32605 cents, oct.: 1249.95628 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : DFEABC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 9.93755 cents Scale diversity : 1.526096 Lumma stability : 0.223820 Lumma impropriety factor : 0.073211 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 0.91799 cents Number of recognisable fifths : 3, average 701.9205 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 64.4420 c. M: 113.1941 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 2 1 1 1 1 P M ME SD: 18.3630 c. M: 27.4798 c. 12: 2 3 2 1 2 2 P T3 SD: 20.5275 c. M: 47.4862 c. Raga Navamanohari, Shobhavari 13: 2 3 3 1 2 2 N SD: 20.1838 c. M: 37.2090 c. 17: 3 4 3 2 2 3 P SD: 11.3853 c. M: 19.1972 c. 20: 3 5 4 2 3 3 N SD: 11.5009 c. M: 18.7475 c. 24: 4 6 4 3 3 4 P SD: 6.8271 c. M: 13.1941 c. 37: 6 9 7 4 5 6 N SD: 5.3817 c. M: 12.2610 c. 44: 7 11 8 5 6 7 N SD: 3.9114 c. M: 7.8384 c. 50: 8 13 9 5 7 8 N SD: 4.6990 c. M: 7.4862 c. 51: 8 13 9 6 7 8 N SD: 4.4984 c. M: 7.3118 c. 55: 9 14 10 6 7 9 N SD: 3.8764 c. M:-6.8059 c. 57: 9 15 10 6 8 9 N SD: 4.1595 c. M:-6.5157 c. 61: 10 15 11 7 8 10 N SD: 4.1519 c. M: 6.9442 c. 62: 10 16 11 7 8 10 N SD: 2.7888 c. M:-4.4783 c. 74: 12 19 13 8 10 12 N SD: 2.5524 c. M: 4.2430 c. 81: 13 21 14 9 11 13 N SD: 2.5480 c. M:-4.9562 c. 82: 13 21 15 9 11 13 N SD: 2.3818 c. M:-3.8791 c. 86: 14 22 15 10 11 14 N SD: 2.5814 c. M:-3.6766 c. 94: 15 24 17 10 13 15 N SD: 2.3500 c. M: 4.9330 c. 98: 16 25 17 11 13 16 N SD: 2.6967 c. M: 3.3509 c. 99: 16 25 18 11 13 16 N SD: 1.2960 c. M:-1.9574 c. 106: 17 27 19 12 14 17 N SD: 0.8112 c. M:-1.5704 c. 180: 29 46 32 20 24 29 N SD: 0.6916 c. M:-1.2525 c. 217: 35 55 39 24 29 35 N SD: 0.8236 c. M: 1.4033 c. 224: 36 57 40 25 30 36 N SD: 0.6276 c. M: 1.0576 c. 279: 45 71 50 31 37 45 N SD: 0.5233 c. M: 0.9809 c. 286: 46 73 51 32 38 46 N SD: 0.3515 c. M:-0.5532 c. 510: 82 130 91 57 68 82 N SD: 0.3387 c. M: 0.5443 c. 609: 98 155 109 68 81 98 N SD: 0.2982 c. M: 0.5360 c. 616: 99 157 110 69 82 99 N SD: 0.2974 c. M: 0.6283 c. 681: 110 173 122 76 91 109 N SD: 0.3147 c. M:-0.4970 c. 688: 111 175 123 77 92 110 N SD: 0.3134 c. M:-0.7070 c. 705: 114 179 126 79 94 113 N SD: 0.2558 c. M:-0.5571 c. 712: 115 181 127 80 95 114 N SD: 0.2773 c. M:-0.4327 c. 799: 129 203 143 89 107 128 N SD: 0.2614 c. M: 0.4274 c. 806: 130 205 144 90 108 129 N SD: 0.2515 c. M:-0.5079 c. 811: 131 206 145 91 108 130 N SD: 0.2253 c. M:-0.3560 c. 861: 139 219 154 96 115 138 N SD: 0.2316 c. M:-0.3947 c. 868: 140 221 155 97 116 139 N SD: 0.2251 c. M:-0.4016 c. 885: 143 225 158 99 118 142 N SD: 0.1950 c. M:-0.4128 c. 892: 144 227 159 100 119 143 N SD: 0.2070 c. M:-0.3557 c. 905: 146 230 162 101 121 145 N SD: 0.1847 c. M:-0.3023 c. 929: 150 236 166 104 124 149 N SD: 0.1579 c. M:-0.2713 c. 967: 156 246 173 108 129 155 N SD: 0.1843 c. M:-0.3529 c. 991: 160 252 177 111 132 159 N SD: 0.1348 c. M:-0.2582 c. 998: 161 254 178 112 133 160 N SD: 0.1725 c. M:-0.2505 c. 1011: 163 257 181 113 135 162 N SD: 0.1627 c. M:-0.2826 c. 1035: 167 263 185 116 138 166 N SD: 0.1249 c. M: 0.1968 c. 1191: 192 303 213 133 159 191 N SD: 0.0985 c. M:-0.1560 c. 1215: 196 309 217 136 162 195 N SD: 0.0680 c. M: 0.1077 c. 1321: 213 336 236 148 176 212 N SD: 0.0481 c. M: 0.0980 c. 1607: 259 409 287 180 214 258 N SD: 0.0669 c. M: 0.0896 c. 2182: 352 555 390 244 291 350 N SD: 0.0704 c. M:-0.0984 c. 2226: 359 566 398 249 297 357 N SD: 0.0667 c. M:-0.1147 c. 2288: 369 582 409 256 305 367 N SD: 0.0621 c. M:-0.0926 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 5.6196 cents 3 x 4 x 5 x 6 S SD: 12.2931 cents 4 x 5:6 x 7:8 S SD: 29.8519 cents 5:6:7 x 8:9:10 S SD: 30.4528 cents 6:7:8:9:10:11:12 H SD: 15.4829 cents 7:8:9 x 11:13:14 SD: 23.5187 cents 8:9:11:12:13:14:16 SD: 11.2269 cents 9:10:12:14:15:16:18 S SD: 10.9121 cents 10:11:13:15:16:18:20 SD: 10.7580 cents 14:16:19:21:23:25:28 SD: 8.4974 cents 15:17:20:23:24:27:30 SD: 8.3390 cents 16:18:21:24:26:29:32 SD: 6.5742 cents 18:20:24:27:29:32:36 SD: 4.8715 cents 24:27:32:36:39:43:48 SD: 2.8306 cents 33:37:44:50:54:59:66 SD: 1.5625 cents 51:57:68:77:83:91:102 SD: 1.1201 cents 84:94:112:127:137:150:168 SD: 0.7745 cents 108:121:144:163:176:193:216 SD: 0.7689 cents 120:134:160:181:196:215:240 SD: 0.6939 cents 128:143:171:193:209:229:256 SD: 0.6841 cents 135:151:180:204:220:242:270 SD: 0.6733 cents 143:160:191:216:233:256:286 SD: 0.5983 cents 153:171:204:231:250:274:306 SD: 0.5233 cents 161:180:215:243:263:288:322 SD: 0.5056 cents 171:191:228:258:279:306:342 SD: 0.4007 cents 204:228:272:308:333:365:408 SD: 0.2443 cents 228:255:304:344:372:408:456 SD: 0.2284 cents 261:292:348:394:426:467:522 SD: 0.2175 cents 347:388:463:524:566:621:694 SD: 0.1366 cents 524:586:699:791:855:938:1048 SD: 0.1141 cents 551:616:735:832:899:986:1102 SD: 0.0840 cents 575:643:767:868:938:1029:1150 SD: 0.0607 cents