Scala analysis: CD01_19_rast_Egypt
Pour l'amour / Celle dont tu étais amoureux - Darwîsh Muhammad al-Harîrî (rast, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 205.152 cents 205.151844 2: 347.409 cents 347.409409 3: 498.820 cents 498.819749 4: 702.712 cents 702.711525 5: 905.816 cents 905.816005 6: 1048.585 cents 1048.585406 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 151.4146 cents 151.4146 1: 205.1518 cents 205.1518 2: 142.2576 cents 142.2576 3: 151.4103 cents 151.4103 4: 203.8918 cents 203.8918 5: 203.1045 cents 203.1045 6: 142.7694 cents 142.7694 7: 151.4146 cents 151.4146
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 142.25756 cents 1: 1 142.76940 cents 1: 1 151.41034 cents 1: 1 151.41459 cents 1: 1 203.10448 cents 1: 1 203.89178 cents 1: 1 205.15184 cents 2: 1 293.66791 cents 2: 1 294.18399 cents 2: 1 345.87388 cents 2: 1 347.40941 cents 2: 1 355.30212 cents 2: 1 356.56644 cents 2: 1 406.99626 cents 3: 1 497.28847 cents 3: 1 497.55968 cents 3: 1 498.81975 cents 3: 1 498.82400 cents 3: 1 499.33584 cents 3: 1 549.76566 cents 3: 1 558.40660 cents 4: 1 641.59340 cents 4: 1 650.23434 cents 4: 1 700.66416 cents 4: 1 701.17600 cents 4: 1 701.18025 cents 4: 1 702.44032 cents 4: 1 702.71153 cents 5: 1 793.00374 cents 5: 1 843.43356 cents 5: 1 844.69788 cents 5: 1 852.59059 cents 5: 1 854.12612 cents 5: 1 905.81601 cents 5: 1 906.33209 cents 6: 1 994.84816 cents 6: 1 996.10822 cents 6: 1 996.89552 cents 6: 1 1048.58541 cents 6: 1 1048.58966 cents 6: 1 1057.23060 cents 6: 1 1057.74244 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 : 205.2 347.4 498.8 702.7 905.8 1048.6 1200.0 205.2 : 142.3 293.7 497.6 700.7 843.4 994.8 1200.0 347.4 : 151.4 355.3 558.4 701.2 852.6 1057.7 1200.0 498.8 : 203.9 407.0 549.8 701.2 906.3 1048.6 1200.0 702.7 : 203.1 345.9 497.3 702.4 844.7 996.1 1200.0 905.8 : 142.8 294.2 499.3 641.6 793.0 996.9 1200.0 1048.6: 151.4 356.6 498.8 650.2 854.1 1057.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 142.2576 .. 205.1518 cents 62.89428 cents 142.25756 cents 2: 293.6679 .. 406.9963 cents 113.32835 cents 88.51606 cents 3: 497.2885 .. 558.4066 cents 61.11812 cents 90.29222 cents 4: 641.5934 .. 702.7115 cents 61.11812 cents 83.18681 cents 5: 793.0037 .. 906.3321 cents 113.32835 cents 90.29222 cents 6: 994.8482 .. 1057.7424 cents 62.89428 cents 88.51606 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 142.25756 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 205.15184 cents Average / Smallest step : 1.205058 Largest / Average step : 1.196719 Largest / Smallest step : 1.442116 Median interval of one step : 151.41459 cents, amount: 1 Least squares average step : 174.48477 cents, oct.: 1221.39342 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : GACFEBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 83.18681 cents Scale diversity : 1.367250 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.604432 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 : 0.00425 cents Number of recognisable fifths : 5, average 701.6345 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% Limited inverse transpositions with margin 112.8123 cents: 1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 25.2296 c. M: 48.6731 c. Lebeng 12: 2 1 2 2 2 1 2 P M ME I SD: 25.8493 c. M: 48.5854 c. G.Phrygian, M.Dorian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Bhimpalasi, Huseni, Kanara, Kapi, Nayaki Kanada, Ritigaula, Sriraga, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo, Oshikicho, Banshikicho: Japan, Nam: Vietnam 13: 2 2 1 3 2 1 2 P D3 SD: 26.6354 c. M: 37.2813 c. 15: 2 2 2 3 2 2 2 SP M ME I SD: 24.4459 c. M: 45.1518 c. Miller's Porcupine-7 16: 3 2 2 2 3 2 2 SP M ME S SD: 19.4362 c. M: 27.7115 c. Antiphrygian 17: 3 2 2 3 3 2 2 SP D3 S SD: 7.0841 c. M:-11.8311 c. Pseudo Rast 24: 4 3 3 4 4 3 3 SP D3 S SD: 3.3343 c. M: 5.8160 c. Arabic Diatonic, Maqam Rast, Quasi-equal Heptatonic, Neutral Diatonic Phrygian 41: 7 5 5 7 7 5 5 SP D3 S SD: 2.5140 c. M:-5.0731 c. 65: 11 8 8 11 11 8 8 SP D3 S SD: 2.1512 c. M:-3.7223 c. 89: 15 11 11 15 15 11 11 SP D3 S SD: 2.2831 c. M:-3.1524 c. 94: 16 11 12 16 16 11 12 SP SD: 1.3610 c. M: 2.7286 c. 111: 19 13 14 19 19 13 14 SP SD: 1.1821 c. M:-2.2921 c. 118: 20 14 15 20 20 14 15 SP SD: 1.1289 c. M: 1.7620 c. 135: 23 16 17 23 23 16 17 SP SD: 0.6754 c. M: 1.0420 c. 159: 27 19 20 27 27 19 20 SP SD: 0.6952 c. M: 1.3783 c. 253: 43 30 32 43 43 30 32 SP SD: 0.7666 c. M: 1.1993 c. 277: 47 33 35 47 47 33 35 SP SD: 0.8016 c. M: 1.5417 c. 294: 50 35 37 50 50 35 37 SP SD: 0.6332 c. M: 1.0702 c. 335: 57 40 42 57 57 40 42 SP SD: 0.6869 c. M: 0.9727 c. 363: 62 43 46 62 61 43 46 SP SD: 0.6208 c. M:-1.4207 c. 380: 65 45 48 65 64 45 48 SP SD: 0.6041 c. M:-1.4990 c. 387: 66 46 49 66 65 46 49 SP SD: 0.5621 c. M:-1.1644 c. 404: 69 48 51 69 68 48 51 SP SD: 0.4885 c. M:-1.2489 c. 411: 70 49 52 70 69 49 52 SP SD: 0.5792 c. M:-0.9381 c. 428: 73 51 54 73 72 51 54 SP SD: 0.4555 c. M:-1.0268 c. 445: 76 53 56 76 75 53 56 SP SD: 0.4942 c. M:-1.1087 c. 452: 77 54 57 77 76 54 57 SP SD: 0.4941 c. M:-0.8283 c. 469: 80 56 59 80 79 56 59 SP SD: 0.4765 c. M:-0.9132 c. 481: 82 57 61 82 81 57 61 SP SD: 0.5427 c. M:-0.8228 c. 490: 84 58 62 83 83 58 62 SP SD: 0.4351 c. M:-0.7721 c. 493: 84 59 62 84 83 59 62 SP SD: 0.5145 c. M:-0.7368 c. 497: 85 59 63 84 84 59 63 SP SD: 0.4906 c. M:-0.9790 c. 498: 85 59 63 85 84 59 63 SP SD: 0.4312 c. M:-0.9029 c. 507: 87 60 64 86 86 60 64 SP SD: 0.4996 c. M:-0.7653 c. 514: 88 61 65 87 87 61 65 SP SD: 0.3836 c. M:-0.7911 c. 531: 91 63 67 90 90 63 67 SP SD: 0.4096 c. M:-0.6153 c. 538: 92 64 68 91 91 64 68 SP SD: 0.3947 c. M:-0.8085 c. 539: 92 64 68 92 91 64 68 SP SD: 0.3561 c. M:-0.8135 c. 563: 96 67 71 96 95 67 71 SP SD: 0.3247 c. M:-0.6633 c. 604: 103 72 76 103 102 72 76 SP SD: 0.3624 c. M:-0.5997 c. 608: 104 72 77 103 103 72 77 SP SD: 0.2969 c. M: 0.5591 c. 625: 107 74 79 106 106 74 79 SP SD: 0.2646 c. M:-0.4240 c. 649: 111 77 82 110 110 77 82 SP SD: 0.2083 c. M:-0.4098 c. 690: 118 82 87 117 117 82 87 SP SD: 0.2301 c. M:-0.4167 c. 743: 127 88 94 126 126 88 94 SP SD: 0.2171 c. M: 0.4024 c. 760: 130 90 96 129 129 90 96 SP SD: 0.2116 c. M:-0.4998 c. 767: 131 91 97 130 130 91 97 SP SD: 0.2050 c. M: 0.3455 c. 784: 134 93 99 133 133 93 99 SP SD: 0.1525 c. M:-0.3064 c. 808: 138 96 102 137 137 96 102 SP SD: 0.1541 c. M: 0.2363 c. 1347: 230 160 170 229 228 160 170 SP SD: 0.1428 c. M: 0.2521 c. 1419: 243 168 179 241 240 169 179 SP SD: 0.1577 c. M:-0.3450 c. 1427: 244 169 180 243 241 170 180 SP SD: 0.1456 c. M:-0.3018 c. 1451: 248 172 183 247 245 173 183 SP SD: 0.1446 c. M:-0.2519 c. 1489: 255 176 188 253 252 177 188 SP SD: 0.1431 c. M:-0.3552 c. 1496: 256 177 189 254 253 178 189 SP SD: 0.1390 c. M: 0.2010 c. 1513: 259 179 191 257 256 180 191 SP SD: 0.1102 c. M:-0.2679 c. 1537: 263 182 194 261 260 183 194 SP SD: 0.0986 c. M:-0.1832 c. 1554: 266 184 196 264 263 185 196 SP SD: 0.1042 c. M:-0.2536 c. 1578: 270 187 199 268 267 188 199 SP SD: 0.0981 c. M:-0.1713 c. 1631: 279 193 206 277 276 194 206 SP SD: 0.1033 c. M: 0.1489 c. 1648: 282 195 208 280 279 196 208 SP SD: 0.0813 c. M:-0.1880 c. 1672: 286 198 211 284 283 199 211 SP SD: 0.0617 c. M:-0.1113 c. 1713: 293 203 216 291 290 204 216 SP SD: 0.0695 c. M:-0.1021 c. 1807: 309 214 228 307 306 215 228 SP SD: 0.0677 c. M: 0.1105 c. 1831: 313 217 231 311 310 218 231 SP SD: 0.0732 c. M: 0.1446 c. 2076: 355 246 262 353 351 247 262 SP SD: 0.0731 c. M:-0.1786 c. 2100: 359 249 265 357 355 250 265 SP SD: 0.0693 c. M:-0.1456 c. 2211: 378 262 279 376 374 263 279 SP SD: 0.0588 c. M:-0.1379 c. 2235: 382 265 282 380 378 266 282 SP SD: 0.0501 c. M:-0.1073 c. 2276: 389 270 287 387 385 271 287 SP SD: 0.0621 c. M:-0.1004 c. 2362: 404 280 298 401 400 281 298 SP SD: 0.0687 c. M:-0.0979 c. 2370: 405 281 299 403 401 282 299 SP SD: 0.0605 c. M: 0.0886 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: 0.3783 cents 3 x x 4 x 5 x 6 S SD: 7.1571 cents 4 x 5 x 6:7 x 8 S SD: 18.5141 cents 5 x 6:7 x 8:9:10 S SD: 26.4287 cents 6:7 x 8:9:10:11:12 S SD: 10.8927 cents 7:8 x 9:11:12:13:14 SD: 18.5478 cents 8:9:10:11:12:14:15:16 S SD: 14.1542 cents 9:10:11:12:14:15:17:18 SD: 12.4539 cents 10:11:12:13:15:17:18:20 SD: 10.8196 cents 13:15:16:17:20:22:24:26 SD: 10.2889 cents 14:16:17:19:21:24:26:28 SD: 7.7951 cents 16:18:20:21:24:27:29:32 SD: 7.3722 cents 17:19:21:23:26:29:31:34 SD: 7.2896 cents 18:20:22:24:27:30:33:36 S SD: 4.4714 cents 22:25:27:29:33:37:40:44 SD: 4.4113 cents 24:27:29:32:36:41:44:48 SD: 4.1605 cents 26:29:32:35:39:44:48:52 SD: 4.1513 cents 30:34:37:40:45:51:55:60 SD: 3.3343 cents 32:36:39:43:48:54:59:64 SD: 2.4731 cents 42:47:51:56:63:71:77:84 SD: 2.2467 cents 48:54:59:64:72:81:88:96 SD: 1.4250 cents 54:61:66:72:81:91:99:108 SD: 0.9217 cents 90:101:110:120:135:152:165:180 SD: 0.8383 cents 96:108:117:128:144:162:176:192 SD: 0.7504 cents 126:142:154:168:189:213:231:252 SD: 0.5469 cents 144:162:176:192:216:243:264:288 SD: 0.2604 cents 198:223:242:264:297:334:363:396 SD: 0.2315 cents 333:375:407:444:500:562:610:666 SD: 0.2148 cents 342:385:418:456:513:577:627:684 SD: 0.1968 cents 365:411:446:487:548:616:669:730 SD: 0.1641 cents 413:465:505:551:620:697:757:826 SD: 0.1620 cents 477:537:583:636:716:805:874:954 SD: 0.1344 cents 509:573:622:679:764:859:933:1018 SD: 0.1016 cents