Scala analysis: CD06_01_rast_Egypt
Les tambours de guerre ont résonné - Muhammad al-Bahr (rast, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 211.985 cents 211.984639 2: 351.399 cents 351.398508 3: 490.610 cents 490.610315 4: 700.280 cents 700.279787 5: 892.050 cents 892.050126 6: 1086.996 cents 1086.995888 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 113.0041 cents 113.0041 1: 211.9846 cents 211.9846 2: 139.4139 cents 139.4139 3: 139.2118 cents 139.2118 4: 209.6695 cents 209.6695 5: 191.7703 cents 191.7703 6: 194.9458 cents 194.9458 7: 113.0041 cents 113.0041
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 113.00411 cents 1: 1 139.21181 cents 1: 1 139.41387 cents 1: 1 191.77034 cents 1: 1 194.94576 cents 1: 1 209.66947 cents 1: 1 211.98464 cents 2: 1 278.62568 cents 2: 1 307.94987 cents 2: 1 324.98875 cents 2: 1 348.88128 cents 2: 1 351.39851 cents 2: 1 386.71610 cents 2: 1 401.43981 cents 3: 1 464.40262 cents 3: 1 488.29515 cents 3: 1 490.61031 cents 3: 1 499.72021 cents 3: 1 519.93451 cents 3: 1 540.65162 cents 3: 1 596.38557 cents 4: 1 603.61443 cents 4: 1 659.34838 cents 4: 1 680.06549 cents 4: 1 700.27979 cents 4: 1 709.38969 cents 4: 1 711.70485 cents 4: 1 735.59738 cents 5: 1 798.56019 cents 5: 1 813.28390 cents 5: 1 848.60149 cents 5: 1 851.11872 cents 5: 1 875.01125 cents 5: 1 892.05013 cents 5: 1 921.37432 cents 6: 1 988.01536 cents 6: 1 990.33053 cents 6: 1 1005.05424 cents 6: 1 1008.22966 cents 6: 1 1060.58613 cents 6: 1 1060.78819 cents 6: 1 1086.99589 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 : 212.0 351.4 490.6 700.3 892.1 1087.0 1200.0 212.0 : 139.4 278.6 488.3 680.1 875.0 988.0 1200.0 351.4 : 139.2 348.9 540.7 735.6 848.6 1060.6 1200.0 490.6 : 209.7 401.4 596.4 709.4 921.4 1060.8 1200.0 700.3 : 191.8 386.7 499.7 711.7 851.1 990.3 1200.0 892.1 : 194.9 307.9 519.9 659.3 798.6 1008.2 1200.0 1087.0: 113.0 325.0 464.4 603.6 813.3 1005.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 113.0041 .. 211.9846 cents 98.98053 cents 113.00411 cents 2: 278.6257 .. 401.4398 cents 122.81414 cents 66.64104 cents 3: 464.4026 .. 596.3856 cents 131.98295 cents 62.96281 cents 4: 603.6144 .. 735.5974 cents 131.98295 cents 7.22885 cents 5: 798.5602 .. 921.3743 cents 122.81414 cents 62.96281 cents 6: 988.0154 .. 1086.9959 cents 98.98053 cents 66.64104 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 113.00411 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 211.98464 cents Average / Smallest step : 1.517012 Largest / Average step : 1.236577 Largest / Smallest step : 1.875902 Median interval of one step : 191.77034 cents, amount: 1 Least squares average step : 175.49970 cents, oct.: 1228.49789 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : GCBFDEA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 7.22885 cents Scale diversity : 1.589593 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.410371 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 : 0.20206 cents Number of recognisable fifths : 3, average 707.1248 cents 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: 31.8980 c. M: 58.4245 c. Lebeng 10: 2 1 1 2 1 2 1 P M ME S SD: 24.2560 c. M: 52.0501 c. Sethares Neutral, Beatles-7, Dichotic-7 12: 2 2 1 2 2 2 1 P M ME S SD: 20.0937 c. M:-48.6015 c. G.Lydian, M.Ionian, M.Hypolydian, Major, Bilaval That, Mela Shankarabharanam, Raga Atana, Ghana Heptatonic, Peruvian Major, Matzore, Rast ascending: Greece, 4th plagal Byzantine, Ararai: Ethiopia, Makam Cargah, Ajam Ashiran, Dastgah-e Mahur, Dastgah-e Rast Panjgah, Xin: China, DS2, Heptatonia prima 14: 2 2 2 2 2 3 1 P T3 SD: 25.2238 c. M: 40.5561 c. 17: 3 2 2 3 3 2 2 SP D3 S SD: 14.6141 c. M: 28.1724 c. Pseudo Rast 19: 3 3 2 3 3 3 2 SP M ME S SD: 15.8104 c. M:-27.5489 c. Nineteen-tone Major, Ionian 20: 4 2 2 4 3 3 2 P SD: 14.5035 c. M:-28.0154 c. 21: 4 2 3 3 4 3 2 SP T3 SD: 15.1978 c. M:-23.6754 c. 22: 4 2 3 4 3 4 2 P SD: 12.4606 c. M: 24.1258 c. Twenty-two tone Melodic Minor 23: 4 3 2 4 4 4 2 N SD: 13.2578 c. M: 22.0189 c. 24: 4 3 3 4 4 4 2 P SD: 8.1604 c. M:-13.0041 c. Maqam Mahur 34: 6 4 4 6 5 6 3 P SD: 5.2218 c. M: 9.6972 c. 44: 8 5 5 8 7 7 4 P SD: 5.4056 c. M:-8.8111 c. 51: 9 6 6 9 8 8 5 SP SD: 3.2060 c. M:-5.6026 c. 62: 11 7 7 11 10 10 6 P SD: 3.3884 c. M: 6.7393 c. 74: 13 9 8 13 12 12 7 P SD: 2.8353 c. M:-5.3582 c. 85: 15 10 10 15 13 14 8 SP SD: 2.7538 c. M:-5.6026 c. 86: 15 10 10 15 14 14 8 P SD: 2.0140 c. M: 2.6823 c. 113: 20 13 13 20 18 18 11 SP SD: 1.7085 c. M: 3.8100 c. 120: 21 14 14 21 19 20 11 P SD: 1.6722 c. M:-3.0041 c. 129: 23 15 15 22 21 21 12 SP SD: 1.8398 c. M: 2.6054 c. 130: 23 15 15 23 21 21 12 P SD: 1.6946 c. M:-3.3345 c. 137: 24 16 16 24 22 22 13 SP SD: 1.0037 c. M: 1.7657 c. 171: 30 20 20 30 27 28 16 SP SD: 0.9376 c. M:-1.4746 c. 233: 41 27 27 41 37 38 22 SP SD: 0.8554 c. M: 1.3399 c. 242: 43 28 28 42 39 39 23 SP SD: 0.8148 c. M:-1.2385 c. 245: 43 29 28 43 39 40 23 SP SD: 0.8147 c. M: 1.3724 c. 266: 47 31 31 46 43 43 25 SP SD: 0.7558 c. M:-1.1830 c. 276: 49 32 32 48 44 45 26 SP SD: 0.6370 c. M:-1.0588 c. 338: 60 39 39 59 54 55 32 SP SD: 0.7076 c. M:-1.0331 c. 362: 64 42 42 63 58 59 34 SP SD: 0.3633 c. M: 0.8323 c. 406: 72 47 47 71 65 66 38 SP SD: 0.4809 c. M:-0.8232 c. 413: 73 48 48 72 66 67 39 SP SD: 0.2179 c. M:-0.4308 c. 499: 88 58 58 87 80 81 47 SP SD: 0.2587 c. M: 0.4802 c. 639: 113 74 74 112 102 104 60 SP SD: 0.2577 c. M: 0.4695 c. 646: 114 75 75 113 103 105 61 SP SD: 0.2548 c. M: 0.4093 c. 690: 122 80 80 121 110 112 65 SP SD: 0.2508 c. M:-0.5898 c. 775: 137 90 90 135 124 126 73 SP SD: 0.2001 c. M: 0.4088 c. 776: 137 90 90 136 124 126 73 SP SD: 0.2484 c. M: 0.4041 c. 788: 139 92 91 138 126 128 74 SP SD: 0.2846 c. M:-0.3781 c. 819: 145 95 95 143 131 133 77 SP SD: 0.2520 c. M:-0.4696 c. 881: 156 102 102 154 141 143 83 SP SD: 0.2275 c. M:-0.5012 c. 905: 160 105 105 158 145 147 85 SP SD: 0.1898 c. M:-0.3256 c. 912: 161 106 106 159 146 148 86 SP SD: 0.1532 c. M: 0.2798 c. 1052: 186 122 122 184 168 171 99 SP SD: 0.0990 c. M:-0.1827 c. 1189: 210 138 138 208 190 193 112 SP SD: 0.1096 c. M: 0.1790 c. 1465: 259 170 170 256 234 238 138 SP SD: 0.0708 c. M:-0.1655 c. 1551: 274 180 180 271 248 252 146 SP SD: 0.0733 c. M: 0.1413 c. 1602: 283 186 186 280 256 260 151 SP SD: 0.0712 c. M: 0.1045 c. 1964: 347 228 228 343 314 319 185 SP SD: 0.0444 c. M: 0.0761 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: 0.8376 cents 3 x x 4 x 5 x 6 S SD: 3.5658 cents 4 x 5 x 6:7 x 8 S SD: 21.0897 cents 5 x 6:7 x 8:9:10 S SD: 28.7623 cents 6:7 x 8:9:10:11:12 S SD: 11.2373 cents 7:8 x 9:11:12:13:14 SD: 18.3573 cents 8:9:10:11:12:13:15:16 SD: 12.4775 cents 9:10:11:12:13:15:17:18 SD: 10.3565 cents 13:15:16:17:19:22:24:26 SD: 10.0088 cents 14:16:17:19:21:23:26:28 SD: 8.2695 cents 15:17:18:20:22:25:28:30 SD: 7.6167 cents 16:18:20:21:24:27:30:32 S SD: 6.1822 cents 18:20:22:24:27:30:34:36 SD: 4.9602 cents 22:25:27:29:33:37:41:44 SD: 2.8622 cents 30:34:37:40:45:50:56:60 SD: 2.5441 cents 40:45:49:53:60:67:75:80 SD: 1.2953 cents 62:70:76:82:93:104:116:124 SD: 1.1842 cents 70:79:86:93:105:117:131:140 SD: 0.9848 cents 76:86:93:101:114:127:142:152 SD: 0.9752 cents 92:104:113:122:138:154:172:184 SD: 0.9216 cents 98:111:120:130:147:164:184:196 SD: 0.8133 cents 116:131:142:154:174:194:217:232 SD: 0.5875 cents 138:156:169:183:207:231:259:276 SD: 0.5698 cents 168:190:206:223:252:281:315:336 SD: 0.4648 cents 199:225:244:264:298:333:373:398 SD: 0.3759 cents 214:242:262:284:321:358:401:428 SD: 0.3702 cents 223:252:273:296:334:373:418:446 SD: 0.3267 cents 245:277:300:325:367:410:459:490 SD: 0.2790 cents 307:347:376:408:460:514:575:614 SD: 0.2786 cents 315:356:386:418:472:527:590:630 SD: 0.2272 cents 369:417:452:490:553:618:691:738 SD: 0.1828 cents 445:503:545:591:667:745:834:890 SD: 0.1423 cents 467:528:572:620:700:782:875:934 SD: 0.1263 cents 507:573:621:673:760:849:950:1014 SD: 0.1195 cents 537:607:658:713:805:899:1006:1074 SD: 0.1128 cents 546:617:669:725:818:914:1023:1092 SD: 0.1019 cents