Scala analysis: levy-05-darbari
Ex. 5: Amir Khan, Darbārī
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 205.000 cents 205.000000 2: 321.000 cents 321.000000 3: 510.000 cents 510.000000 4: 701.000 cents 701.000000 5: 822.000 cents 822.000000 6: 1015.000 cents 1015.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 185.0000 cents 185.0000 1: 205.0000 cents 205.0000 2: 116.0000 cents 116.0000 3: 189.0000 cents 189.0000 4: 191.0000 cents 191.0000 5: 121.0000 cents 121.0000 6: 193.0000 cents 193.0000 7: 185.0000 cents 185.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 116.00000 cents 1: 1 121.00000 cents 1: 1 185.00000 cents 1: 1 189.00000 cents 1: 1 191.00000 cents 1: 1 193.00000 cents 1: 1 205.00000 cents 2: 1 305.00000 cents 2: 1 312.00000 cents 2: 1 314.00000 cents 2: 1 321.00000 cents 2: 1 378.00000 cents 2: 1 380.00000 cents 2: 1 390.00000 cents 3: 1 496.00000 cents 3: 1 499.00000 cents 3: 1 501.00000 cents 3: 1 505.00000 cents 3: 1 506.00000 cents 3: 1 510.00000 cents 3: 1 583.00000 cents 4: 1 617.00000 cents 4: 1 690.00000 cents 4: 1 694.00000 cents 4: 1 695.00000 cents 4: 1 699.00000 cents 4: 1 701.00000 cents 4: 1 704.00000 cents 5: 1 810.00000 cents 5: 1 820.00000 cents 5: 1 822.00000 cents 5: 1 879.00000 cents 5: 1 886.00000 cents 5: 1 888.00000 cents 5: 1 895.00000 cents 6: 1 995.00000 cents 6: 1 1007.00000 cents 6: 1 1009.00000 cents 6: 1 1011.00000 cents 6: 1 1015.00000 cents 6: 1 1079.00000 cents 6: 1 1084.00000 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 : 205.0 321.0 510.0 701.0 822.0 1015.0 1200.0 205.0 : 116.0 305.0 496.0 617.0 810.0 995.0 1200.0 321.0 : 189.0 380.0 501.0 694.0 879.0 1084.0 1200.0 510.0 : 191.0 312.0 505.0 690.0 895.0 1011.0 1200.0 701.0 : 121.0 314.0 499.0 704.0 820.0 1009.0 1200.0 822.0 : 193.0 378.0 583.0 699.0 888.0 1079.0 1200.0 1015.0: 185.0 390.0 506.0 695.0 886.0 1007.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 116.0000 .. 205.0000 cents 89.00000 cents 116.00000 cents 2: 305.0000 .. 390.0000 cents 85.00000 cents 100.00000 cents 3: 496.0000 .. 583.0000 cents 87.00000 cents 106.00000 cents 4: 617.0000 .. 704.0000 cents 87.00000 cents 34.00000 cents 5: 810.0000 .. 895.0000 cents 85.00000 cents 106.00000 cents 6: 995.0000 .. 1084.0000 cents 89.00000 cents 100.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 116.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 205.00000 cents Average / Smallest step : 1.477833 Largest / Average step : 1.195833 Largest / Smallest step : 1.767241 Median interval of one step : 189.00000 cents, amount: 1 Least squares average step : 169.86429 cents, oct.: 1189.05000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 205 321 510 701 822 1015 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 821 of 821.000 cents and inv. generated superset size: 296 = 289 more = 4228.571% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : GADEBFC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 34.00000 cents Scale diversity : 1.387515 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.565000 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 : 1.00000 cents Number of recognisable fifths : 6, average 697.1667 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 89.0000 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 21.6333 c. M:-35.1429 c. Lebeng 12: 2 1 2 2 1 2 2 P M ME S SD: 13.5013 c. M: 22.0000 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 19: 3 2 3 3 2 3 3 SP M ME S SD: 7.0791 c. M: 15.5263 c. Nineteen-tone Natural Minor, Aeolian 31: 5 3 5 5 3 5 5 SP M DE S SD: 8.2714 c. M: 11.4516 c. Thirty-one tone Natural Minor, Intense Diatonic Hypodorian, Aeolian 40: 7 4 6 6 4 7 6 P S SD: 7.5214 c. M: 12.0000 c. 41: 7 4 6 7 4 7 6 SP T3 SD: 6.0010 c. M: 12.4390 c. Forty-one tone "Just" Minor 45: 8 4 7 7 5 7 7 SP SD: 4.8534 c. M:-8.3333 c. 57: 10 5 9 9 6 9 9 SP SD: 4.4764 c. M: 6.2632 c. 63: 11 6 10 10 6 10 10 SP SD: 3.7718 c. M: 5.4762 c. 64: 11 6 10 10 7 10 10 SP SD: 3.5557 c. M: 7.2500 c. 70: 12 7 11 11 7 11 11 SP SD: 2.8795 c. M:-4.7143 c. 82: 14 8 13 13 8 13 13 SP SD: 2.4348 c. M: 5.2439 c. 89: 15 9 14 14 9 14 14 SP SD: 2.2132 c. M: 3.7640 c. 101: 17 10 16 16 10 16 16 SP SD: 2.4139 c. M: 5.0990 c. 104: 18 10 16 17 10 17 16 SP SD: 2.1648 c. M:-2.8462 c. 111: 19 11 17 18 11 18 17 SP SD: 1.6612 c. M:-3.3243 c. 123: 21 12 19 20 12 20 19 SP SD: 1.5358 c. M: 2.6829 c. 130: 22 13 20 21 13 21 20 SP SD: 1.4136 c. M: 2.3077 c. 142: 24 14 22 23 14 23 22 SP SD: 1.6793 c. M: 2.9577 c. 156: 27 15 24 25 16 25 24 SP SD: 1.6560 c. M:-2.6923 c. 157: 27 15 25 25 16 25 24 SP SD: 1.9122 c. M:-3.4777 c. 162: 28 15 26 26 16 26 25 SP SD: 1.7147 c. M:-2.7037 c. 164: 28 16 26 26 16 27 25 SP SD: 1.6167 c. M: 2.4878 c. 168: 29 16 26 27 17 27 26 SP SD: 1.4529 c. M: 2.8571 c. 169: 29 16 27 27 17 27 26 SP SD: 1.2719 c. M:-1.9586 c. 187: 32 18 29 30 19 30 29 SP SD: 1.3816 c. M: 3.0481 c. 188: 32 18 30 30 19 30 29 SP SD: 1.0449 c. M: 1.8511 c. 209: 36 20 33 33 21 34 32 SP SD: 0.9967 c. M:-1.6986 c. 216: 37 21 34 34 22 35 33 SP SD: 0.9903 c. M:-1.6667 c. 228: 39 22 36 36 23 37 35 SP SD: 0.6403 c. M: 1.0000 c. 247: 42 24 39 39 25 40 38 SP SD: 0.7619 c. M: 1.4049 c. 280: 48 27 44 45 28 45 43 SP SD: 0.8773 c. M:-1.8571 c. 292: 50 28 46 47 29 47 45 SP SD: 0.7212 c. M:-1.7397 c. 299: 51 29 47 48 30 48 46 SP SD: 0.6204 c. M:-1.3411 c. 356: 61 34 56 57 36 57 55 SP SD: 0.5853 c. M: 1.0112 c. 358: 61 35 56 57 36 58 55 SP SD: 0.5803 c. M:-0.7877 c. 363: 62 35 57 58 37 58 56 SP SD: 0.5719 c. M:-1.1405 c. 375: 64 36 59 60 38 60 58 SP SD: 0.6590 c. M: 1.2000 c. 381: 65 37 60 61 38 61 59 SP SD: 0.6257 c. M:-1.3622 c. 385: 66 37 61 61 39 62 59 SP SD: 0.7484 c. M:-1.1688 c. 388: 66 38 61 62 39 62 60 SP SD: 0.6758 c. M:-1.0619 c. 397: 68 38 63 63 40 64 61 SP SD: 0.5094 c. M:-0.8312 c. 416: 71 40 66 66 42 67 64 SP SD: 0.4114 c. M: 0.8077 c. 423: 72 41 67 67 43 68 65 SP SD: 0.5451 c. M: 0.7447 c. 426: 73 41 67 68 43 68 66 SP SD: 0.4970 c. M: 0.9155 c. 445: 76 43 70 71 45 71 69 SP SD: 0.4636 c. M: 1.0674 c. 486: 83 47 77 77 49 78 75 SP SD: 0.4436 c. M:-1.1111 c. 508: 87 49 80 81 51 82 78 SP SD: 0.4272 c. M:-0.7480 c. 520: 89 50 82 83 52 84 80 SP SD: 0.3489 c. M:-0.5385 c. 527: 90 51 83 84 53 85 81 SP SD: 0.2487 c. M:-0.5598 c. 539: 92 52 85 86 54 87 83 SP SD: 0.2898 c. M: 0.4787 c. 546: 93 53 86 87 55 88 84 SP SD: 0.2804 c. M: 0.6044 c. 609: 104 59 96 97 61 98 94 SP SD: 0.2779 c. M:-0.4778 c. 616: 105 60 97 98 62 99 95 SP SD: 0.3027 c. M: 0.4545 c. 654: 112 63 103 104 66 105 101 SP SD: 0.2341 c. M:-0.5046 c. 661: 113 64 104 105 67 106 102 SP SD: 0.2363 c. M:-0.3903 c. 673: 115 65 106 107 68 108 104 SP SD: 0.1947 c. M: 0.4383 c. 842: 144 81 133 134 85 135 130 SP SD: 0.2467 c. M: 0.3349 c. 882: 151 85 139 140 89 142 136 SP SD: 0.2396 c. M:-0.4422 c. 883: 151 85 139 141 89 142 136 SP SD: 0.2358 c. M: 0.3737 c. 889: 152 86 140 141 90 143 137 SP SD: 0.2245 c. M: 0.4376 c. 901: 154 87 142 143 91 145 139 SP SD: 0.2059 c. M: 0.4451 c. 953: 163 92 150 152 96 153 147 SP SD: 0.1975 c. M:-0.3641 c. 972: 166 94 153 155 98 156 150 SP SD: 0.1502 c. M:-0.2346 c. 1181: 202 114 186 188 119 190 182 SP SD: 0.1139 c. M:-0.2498 c. 1188: 203 115 187 189 120 191 183 SP SD: 0.1364 c. M:-0.2222 c. 1193: 204 115 188 190 120 192 184 SP SD: 0.1269 c. M: 0.2062 c. 1200: 205 116 189 191 121 193 185 SP SD: 0.0000 c. M:-0.0000 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: 0.4775 cents 3 x x 4 x 5 x 6 S SD: 21.1648 cents 4 x 5 x 6 x 7:8 S SD: 19.9982 cents 5 x 6:7 x 8:9:10 S SD: 14.6459 cents 6 x 7:8:9:10:11:12 S SD: 15.0400 cents 7:8 x 9 x 11:13:14 SD: 21.0461 cents 8:9:10:11:12:13:14:16 S SD: 13.1324 cents 9:10:11:12 x 14:16:18 S SD: 11.7462 cents 10:11:12:13:15:16:18:20 SD: 9.9152 cents 12 x 14:16:18:19:22:24 SD: 11.7305 cents 14:16:17:19:21:23:25:28 SD: 7.5483 cents 15:17:18:20:22:24:27:30 SD: 6.1018 cents 18:20:22:24:27:29:32:36 SD: 5.9296 cents 20:23:24:27:30:32:36:40 SD: 5.6475 cents 23:26:28:31:34:37:41:46 SD: 5.1013 cents 24:27:29:32:36:39:43:48 SD: 3.3858 cents 30:34:36:40:45:48:54:60 SD: 2.8030 cents 38:43:46:51:57:61:68:76 SD: 2.2208 cents 40:45:48:54:60:64:72:80 S SD: 2.0097 cents 50:56:60:67:75:80:90:100 SD: 1.9897 cents 54:61:65:73:81:87:97:108 SD: 1.9884 cents 56:63:67:75:84:90:101:112 SD: 1.8486 cents 58:65:70:78:87:93:104:116 SD: 1.6128 cents 64:72:77:86:96:103:115:128 SD: 0.4177 cents 158:178:190:212:237:254:284:316 SD: 0.3710 cents 207:233:249:278:310:333:372:414 SD: 0.3577 cents 216:243:260:290:324:347:388:432 SD: 0.3120 cents 222:250:267:298:333:357:399:444 SD: 0.2765 cents 280:315:337:376:420:450:503:560 SD: 0.2616 cents 286:322:344:384:429:460:514:572 SD: 0.2600 cents 295:332:355:396:442:474:530:590 SD: 0.2441 cents 359:404:432:482:538:577:645:718 SD: 0.1843 cents 423:476:509:568:634:680:760:846 SD: 0.1671 cents 461:519:555:619:691:741:829:922 SD: 0.1571 cents 517:582:622:694:775:831:929:1034 SD: 0.1566 cents 525:591:632:705:787:844:944:1050 SD: 0.1248 cents 589:663:709:791:883:947:1059:1178 SD: 0.1172 cents