Scala analysis: CD15_05_rast_Algeria
Pourquoi le nuage pleure-t-il ? - L'ensemble d'Al-'Arabî Ben Sârî (rast, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 206.697 cents 206.696821 2: 309.386 cents 309.386406 3: 502.928 cents 502.927652 4: 705.552 cents 705.551575 5: 906.353 cents 906.353459 6: 1009.150 cents 1009.150480 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 190.8495 cents 190.8495 1: 206.6968 cents 206.6968 2: 102.6896 cents 102.6896 3: 193.5412 cents 193.5412 4: 202.6239 cents 202.6239 5: 200.8019 cents 200.8019 6: 102.7970 cents 102.7970 7: 190.8495 cents 190.8495
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 102.68958 cents 1: 1 102.79702 cents 1: 1 190.84952 cents 1: 1 193.54125 cents 1: 1 200.80188 cents 1: 1 202.62392 cents 1: 1 206.69682 cents 2: 1 293.64654 cents 2: 1 296.23083 cents 2: 1 303.59891 cents 2: 1 309.38641 cents 2: 1 396.16517 cents 2: 1 397.54634 cents 2: 1 403.42581 cents 3: 1 494.44842 cents 3: 1 498.85475 cents 3: 1 500.23593 cents 3: 1 500.34336 cents 3: 1 502.92765 cents 3: 1 506.22283 cents 3: 1 596.96705 cents 4: 1 603.03295 cents 4: 1 693.77717 cents 4: 1 697.07235 cents 4: 1 699.65664 cents 4: 1 699.76407 cents 4: 1 701.14525 cents 4: 1 705.55157 cents 5: 1 796.57419 cents 5: 1 802.45366 cents 5: 1 803.83483 cents 5: 1 890.61359 cents 5: 1 896.40110 cents 5: 1 903.76917 cents 5: 1 906.35346 cents 6: 1 993.30318 cents 6: 1 997.37608 cents 6: 1 999.19812 cents 6: 1 1006.45875 cents 6: 1 1009.15048 cents 6: 1 1097.20298 cents 6: 1 1097.31041 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 : 206.7 309.4 502.9 705.6 906.4 1009.2 1200.0 206.7 : 102.7 296.2 498.9 699.7 802.5 993.3 1200.0 309.4 : 193.5 396.2 597.0 699.8 890.6 1097.3 1200.0 502.9 : 202.6 403.4 506.2 697.1 903.8 1006.5 1200.0 705.6 : 200.8 303.6 494.4 701.1 803.8 997.4 1200.0 906.4 : 102.8 293.6 500.3 603.0 796.6 999.2 1200.0 1009.2: 190.8 397.5 500.2 693.8 896.4 1097.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 102.6896 .. 206.6968 cents 104.00724 cents 102.68958 cents 2: 293.6465 .. 403.4258 cents 109.77927 cents 86.94972 cents 3: 494.4484 .. 596.9671 cents 102.51863 cents 91.02262 cents 4: 603.0329 .. 705.5516 cents 102.51863 cents 6.06589 cents 5: 796.5742 .. 906.3535 cents 109.77927 cents 91.02262 cents 6: 993.3032 .. 1097.3104 cents 104.00724 cents 86.94972 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 102.68958 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 206.69682 cents Average / Smallest step : 1.669386 Largest / Average step : 1.205731 Largest / Smallest step : 2.012831 Median interval of one step : 193.54125 cents, amount: 1 Least squares average step : 172.45092 cents, oct.: 1207.15645 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : GADFEBC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.06589 cents Scale diversity : 1.368869 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.472825 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 : 0.10744 cents Number of recognisable fifths : 6, average 699.4945 cents 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: 28.4994 c. M: 49.2106 c. Lebeng 12: 2 1 2 2 2 1 2 P M ME I SD: 6.5076 c. M: 9.3864 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 46: 8 4 7 8 8 4 7 P SD: 5.1328 c. M:-8.2408 c. 57: 10 5 9 10 9 5 9 SP T3 SD: 4.9138 c. M:-10.2379 c. 58: 10 5 9 10 10 5 9 P SD: 3.4542 c. M: 6.3759 c. 65: 11 6 10 11 11 6 10 SP SD: 3.9808 c. M:-6.2341 c. 69: 12 6 11 12 11 6 11 SP T3 SD: 3.3752 c. M:-7.4919 c. 70: 12 6 11 12 12 6 11 P SD: 2.7376 c. M: 5.7848 c. 77: 13 7 12 13 13 7 12 SP SD: 3.3554 c. M: 4.2529 c. 81: 14 7 13 14 13 7 13 SP T3 SD: 2.5369 c. M:-5.5595 c. 82: 14 7 13 14 14 7 13 P SD: 2.6015 c. M: 5.3667 c. 93: 16 8 15 16 15 8 15 SP T3 SD: 2.2143 c. M:-4.1258 c. 105: 18 9 17 18 17 9 17 SP T3 SD: 2.2292 c. M: 3.4963 c. 124: 21 11 20 21 21 10 20 P SD: 2.1167 c. M: 3.4710 c. 127: 22 11 20 22 21 11 20 SP SD: 1.9110 c. M:-3.1098 c. 131: 23 11 21 22 22 11 21 SP SD: 1.8355 c. M:-3.9902 c. 139: 24 12 22 24 23 12 22 SP SD: 1.3908 c. M:-2.3621 c. 151: 26 13 24 26 25 13 24 SP SD: 1.1091 c. M: 2.2654 c. 163: 28 14 26 28 27 14 26 SP SD: 1.0787 c. M: 2.3142 c. 175: 30 15 28 30 29 15 28 SP SD: 1.2253 c. M: 2.3562 c. 187: 32 16 30 32 31 16 30 SP SD: 1.4472 c. M: 2.3929 c. 196: 34 17 31 33 33 17 31 SP SD: 1.4359 c. M:-2.8585 c. 197: 34 17 32 33 33 17 31 SP SD: 1.4928 c. M:-2.6561 c. 201: 35 17 32 34 34 17 32 SP SD: 1.2368 c. M:-2.2584 c. 203: 35 17 33 34 34 18 32 SP SD: 1.4736 c. M: 2.1033 c. 208: 36 18 33 35 35 18 33 SP SD: 1.2010 c. M:-2.1521 c. 209: 36 18 34 35 35 18 33 SP SD: 1.1282 c. M:-2.3355 c. 213: 37 18 34 36 36 18 34 SP SD: 1.0909 c. M:-1.7539 c. 221: 38 19 36 37 37 19 35 SP SD: 0.8693 c. M:-2.0497 c. 225: 39 19 36 38 38 19 36 SP SD: 1.0738 c. M: 1.5943 c. 226: 39 19 37 38 38 19 36 P SD: 1.0357 c. M:-1.6111 c. 233: 40 20 38 39 39 20 37 SP SD: 0.7486 c. M:-1.7934 c. 245: 42 21 40 41 41 21 39 SP SD: 0.7758 c. M:-1.5621 c. 257: 44 22 42 43 43 22 41 SP SD: 0.9044 c. M:-1.3525 c. 279: 48 24 45 47 47 24 44 SP SD: 0.7754 c. M:-1.6022 c. 291: 50 25 47 49 49 25 46 SP SD: 0.6030 c. M:-1.1588 c. 303: 52 26 49 51 51 26 48 SP SD: 0.5422 c. M: 0.7562 c. 315: 54 27 51 53 53 27 50 SP SD: 0.5971 c. M: 0.9825 c. 360: 62 31 58 61 60 31 57 SP SD: 0.6101 c. M:-1.1151 c. 372: 64 32 60 63 62 32 59 SP SD: 0.4361 c. M:-0.9000 c. 384: 66 33 62 65 64 33 61 SP SD: 0.3354 c. M:-0.6984 c. 396: 68 34 64 67 66 34 63 SP SD: 0.3487 c. M: 0.6362 c. 446: 77 38 72 75 75 38 71 SP SD: 0.3442 c. M: 0.6188 c. 515: 89 44 83 87 86 44 82 SP SD: 0.4037 c. M:-0.6818 c. 527: 91 45 85 89 88 45 84 SP SD: 0.3237 c. M:-0.5138 c. 539: 93 46 87 91 90 46 86 SP SD: 0.3058 c. M: 0.6162 c. 585: 101 50 94 99 98 50 93 SP SD: 0.2941 c. M:-0.4827 c. 597: 103 51 96 101 100 51 95 SP SD: 0.2257 c. M: 0.4151 c. 609: 105 52 98 103 102 52 97 SP SD: 0.2258 c. M: 0.4646 c. 806: 139 69 130 136 135 69 128 SP SD: 0.2559 c. M:-0.3463 c. 818: 141 70 132 138 137 70 130 SP SD: 0.1664 c. M:-0.2508 c. 830: 143 71 134 140 139 71 132 SP SD: 0.0986 c. M:-0.2049 c. 842: 145 72 136 142 141 72 134 SP SD: 0.0998 c. M:-0.1602 c. 1427: 246 122 230 241 239 122 227 SP SD: 0.0973 c. M:-0.1707 c. 1439: 248 123 232 243 241 123 229 SP SD: 0.0831 c. M: 0.1164 c. 1811: 312 155 292 306 303 155 288 SP SD: 0.0706 c. M:-0.1359 c. 1823: 314 156 294 308 305 156 290 SP SD: 0.0483 c. M:-0.0985 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: 1.7983 cents 3 x x 4 x 5 x 6 S SD: 7.5101 cents 4 x 5 x 6 x 7:8 S SD: 21.7325 cents 5 x 6:7 x 8:9:10 S SD: 24.5205 cents 6 x 7:8:9:10:11:12 S SD: 10.4684 cents 7:8 x 9:11:12:13:14 SD: 20.9174 cents 8:9:10:11:12 x 14:16 S SD: 16.5883 cents 9:10:11:12:14:15:16:18 S SD: 11.2831 cents 10:11:12:13:15:17:18:20 SD: 9.4606 cents 12 x 14:16:18:20:22:24 S SD: 10.4684 cents 14:16:17:19:21:24:25:28 SD: 7.4729 cents 15:17:18:20:23:25:27:30 SD: 6.2351 cents 16:18:19:21:24:27:29:32 SD: 5.7367 cents 22:25:26:29:33:37:39:44 SD: 5.7243 cents 24:27:29:32:36:41:43:48 SD: 4.0607 cents 26:29:31:35:39:44:47:52 SD: 3.9251 cents 30:34:36:40:45:51:54:60 SD: 2.8501 cents 32:36:38:43:48:54:57:64 SD: 2.5930 cents 42:47:50:56:63:71:75:84 SD: 2.3565 cents 47:53:56:63:71:79:84:94 SD: 2.0217 cents 48:54:57:64:72:81:86:96 SD: 1.9479 cents 56:63:67:75:84:95:100:112 SD: 1.6493 cents 62:70:74:83:93:105:111:124 SD: 1.2097 cents 71:80:85:95:107:120:127:142 SD: 0.8736 cents 86:97:103:115:129:145:154:172 SD: 0.7609 cents 119:134:142:159:179:201:213:238 SD: 0.6299 cents 143:161:171:191:215:241:256:286 SD: 0.5386 cents 157:177:188:210:236:265:281:314 SD: 0.4456 cents 173:195:207:231:260:292:310:346 SD: 0.4046 cents 205:231:245:274:308:346:367:410 SD: 0.2326 cents 276:311:330:369:415:466:494:552 SD: 0.2194 cents 362:408:433:484:544:611:648:724 SD: 0.2077 cents 388:437:464:519:583:655:695:776 SD: 0.1821 cents 394:444:471:527:592:665:706:788 SD: 0.1665 cents 465:524:556:622:699:785:833:930 SD: 0.1080 cents