Scala analysis: levy-06-darbari
Ex. 6: Nazakat & Salamat Ali Khan, Darbārī
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 202.000 cents 202.000000 2: 338.000 cents 338.000000 3: 505.000 cents 505.000000 4: 700.000 cents 700.000000 5: 818.000 cents 818.000000 6: 1011.000 cents 1011.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 189.0000 cents 189.0000 1: 202.0000 cents 202.0000 2: 136.0000 cents 136.0000 3: 167.0000 cents 167.0000 4: 195.0000 cents 195.0000 5: 118.0000 cents 118.0000 6: 193.0000 cents 193.0000 7: 189.0000 cents 189.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 118.00000 cents 1: 1 136.00000 cents 1: 1 167.00000 cents 1: 1 189.00000 cents 1: 1 193.00000 cents 1: 1 195.00000 cents 1: 1 202.00000 cents 2: 1 303.00000 cents 2: 1 311.00000 cents 2: 1 313.00000 cents 2: 1 338.00000 cents 2: 1 362.00000 cents 2: 1 382.00000 cents 2: 1 391.00000 cents 3: 1 480.00000 cents 3: 1 498.00000 cents 3: 1 500.00000 cents 3: 1 505.00000 cents 3: 1 506.00000 cents 3: 1 527.00000 cents 3: 1 584.00000 cents 4: 1 616.00000 cents 4: 1 673.00000 cents 4: 1 694.00000 cents 4: 1 695.00000 cents 4: 1 700.00000 cents 4: 1 702.00000 cents 4: 1 720.00000 cents 5: 1 809.00000 cents 5: 1 818.00000 cents 5: 1 838.00000 cents 5: 1 862.00000 cents 5: 1 887.00000 cents 5: 1 889.00000 cents 5: 1 897.00000 cents 6: 1 998.00000 cents 6: 1 1005.00000 cents 6: 1 1007.00000 cents 6: 1 1011.00000 cents 6: 1 1033.00000 cents 6: 1 1064.00000 cents 6: 1 1082.00000 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 : 202.0 338.0 505.0 700.0 818.0 1011.0 1200.0 202.0 : 136.0 303.0 498.0 616.0 809.0 998.0 1200.0 338.0 : 167.0 362.0 480.0 673.0 862.0 1064.0 1200.0 505.0 : 195.0 313.0 506.0 695.0 897.0 1033.0 1200.0 700.0 : 118.0 311.0 500.0 702.0 838.0 1005.0 1200.0 818.0 : 193.0 382.0 584.0 720.0 887.0 1082.0 1200.0 1011.0: 189.0 391.0 527.0 694.0 889.0 1007.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 118.0000 .. 202.0000 cents 84.00000 cents 118.00000 cents 2: 303.0000 .. 391.0000 cents 88.00000 cents 101.00000 cents 3: 480.0000 .. 584.0000 cents 104.00000 cents 89.00000 cents 4: 616.0000 .. 720.0000 cents 104.00000 cents 32.00000 cents 5: 809.0000 .. 897.0000 cents 88.00000 cents 89.00000 cents 6: 998.0000 .. 1082.0000 cents 84.00000 cents 101.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 118.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 202.00000 cents Average / Smallest step : 1.452785 Largest / Average step : 1.178333 Largest / Smallest step : 1.711864 Median interval of one step : 189.00000 cents, amount: 1 Least squares average step : 169.63571 cents, oct.: 1187.45000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 202 338 505 700 818 1011 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 893 of 893.000 cents and inv. generated superset size: 375 = 368 more = 5357.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : GBCFAED Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 32.00000 cents Scale diversity : 1.482922 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.540000 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 : 5, average 702.2000 cents Number of appreciable fifths : 4, average 697.7500 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 84.0000 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 21.0083 c. M:-39.1429 c. Lebeng 12: 2 1 2 2 1 2 2 P M ME S SD: 16.5529 c. M: 38.0000 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 17: 3 2 2 3 2 2 3 SP D3 I SD: 16.1876 c. M:-29.0588 c. Safi al-Din's maqam Rast 19: 3 2 3 3 2 3 3 SP M ME S SD: 9.9105 c. M: 22.2105 c. Nineteen-tone Natural Minor, Aeolian 24: 4 3 3 4 2 4 4 P SD: 9.3960 c. M: 18.0000 c. 26: 4 3 4 4 3 4 4 SP M ME S SD: 10.5127 c. M: 17.3846 c. Twenty-six tone Natural Minor 29: 5 3 4 5 3 4 5 SP SD: 9.0075 c. M: 17.8966 c. Twenty-nine tone "Just" Minor 31: 5 4 4 5 3 5 5 SP SD: 5.8498 c. M:-10.3871 c. 40: 7 4 6 6 4 7 6 P S SD: 7.5404 c. M: 10.0000 c. 43: 7 5 6 7 4 7 7 SP SD: 5.1056 c. M: 8.6977 c. 50: 8 6 7 8 5 8 8 SP SD: 4.3753 c. M: 10.0000 c. 53: 9 6 7 9 5 9 8 SP SD: 4.2613 c. M:-7.8679 c. 57: 10 6 8 9 6 9 9 SP SD: 3.9884 c. M:-8.5263 c. 64: 11 7 9 10 7 10 10 SP SD: 3.9675 c. M:-7.0000 c. 65: 11 7 9 11 6 11 10 SP SD: 4.3146 c. M: 6.5385 c. 71: 12 8 10 11 7 12 11 SP SD: 3.9510 c. M: 7.0423 c. 72: 12 8 10 12 7 12 11 SP SD: 3.4778 c. M:-5.6667 c. 81: 14 9 11 13 8 13 13 SP SD: 3.2777 c. M:-5.4074 c. 82: 14 9 12 13 8 13 13 SP SD: 3.2035 c. M:-7.1951 c. 84: 14 10 11 14 8 14 13 SP SD: 3.3206 c. M: 5.0000 c. 88: 15 10 12 14 9 14 14 SP SD: 2.3751 c. M: 4.5455 c. 100: 17 11 14 16 10 16 16 SP SD: 2.3299 c. M: 4.0000 c. 107: 18 12 15 17 11 17 17 SP SD: 1.9850 c. M: 4.6729 c. 125: 21 14 18 20 12 20 20 SP SD: 2.1461 c. M:-3.8000 c. 129: 22 14 18 21 13 21 20 SP SD: 2.3418 c. M: 3.1163 c. 131: 22 15 18 21 13 21 21 SP SD: 2.2634 c. M: 3.8168 c. 132: 22 15 18 22 13 21 21 SP SD: 2.2474 c. M: 5.0000 c. 135: 23 15 19 22 13 22 21 SP SD: 1.6576 c. M:-2.4444 c. 142: 24 16 20 23 14 23 22 SP SD: 1.6600 c. M:-3.0845 c. 154: 26 17 22 25 15 25 24 SP SD: 1.5524 c. M: 2.9351 c. 160: 27 18 22 26 16 26 25 SP SD: 1.4880 c. M: 2.5000 c. 166: 28 19 23 27 16 27 26 SP SD: 1.0786 c. M:-1.7590 c. 178: 30 20 25 29 17 29 28 SP SD: 1.0530 c. M: 2.2697 c. 185: 31 21 26 30 18 30 29 SP SD: 0.7382 c. M:-0.9459 c. 242: 41 27 34 39 24 39 38 SP SD: 0.7577 c. M:-1.3058 c. 273: 46 31 38 44 27 44 43 SP SD: 0.5181 c. M: 1.0989 c. 380: 64 43 53 62 37 61 60 SP SD: 0.4528 c. M:-1.0526 c. 387: 65 44 54 63 38 62 61 SP SD: 0.4428 c. M:-0.7752 c. 458: 77 52 64 74 45 74 72 SP SD: 0.4004 c. M:-0.6769 c. 468: 79 53 65 76 46 75 74 SP SD: 0.3970 c. M: 0.7436 c. 475: 80 54 66 77 47 76 75 SP SD: 0.3592 c. M:-0.5263 c. 487: 82 55 68 79 48 78 77 SP SD: 0.3347 c. M: 0.7331 c. 540: 91 61 75 88 53 87 85 SP SD: 0.2589 c. M: 0.5556 c. 547: 92 62 76 89 54 88 86 SP SD: 0.2573 c. M: 0.4296 c. 653: 110 74 91 106 64 105 103 SP SD: 0.2155 c. M:-0.3599 c. 660: 111 75 92 107 65 106 104 SP SD: 0.2118 c. M:-0.4545 c. 725: 122 82 101 118 71 117 114 SP SD: 0.2353 c. M: 0.3448 c. 813: 137 92 113 132 80 131 128 SP SD: 0.2108 c. M: 0.3690 c. 820: 138 93 114 133 81 132 129 SP SD: 0.2098 c. M: 0.4878 c. 915: 154 104 127 149 90 147 144 SP SD: 0.2382 c. M:-0.3607 c. 920: 155 104 128 150 90 148 145 SP SD: 0.2217 c. M:-0.4348 c. 927: 156 105 129 151 91 149 146 SP SD: 0.1526 c. M:-0.3236 c. 1015: 171 115 141 165 100 163 160 SP SD: 0.1345 c. M: 0.1724 c. 1193: 201 135 166 194 117 192 188 SP SD: 0.1233 c. M: 0.2297 c. 1200: 202 136 167 195 118 193 189 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: 0.9775 cents 3 x x 4 x 5 x 6 S SD: 22.2407 cents 4 x 5 x 6 x 7:8 S SD: 16.0404 cents 5 x 6:7 x 8:9:10 S SD: 16.2113 cents 6:7 x 8:9:10:11:12 S SD: 16.7793 cents 7:8 x 9 x 11:13:14 SD: 20.6735 cents 8:9:10:11:12:13:14:16 S SD: 11.7571 cents 10:11:12:13:15:16:18:20 SD: 9.5978 cents 14:16:17:19:21:22:25:28 SD: 7.4672 cents 15:17:18:20:22:24:27:30 SD: 6.6876 cents 18:20:22:24:27:29:32:36 SD: 4.0553 cents 24:27:29:32:36:38:43:48 SD: 3.6957 cents 32:36:39:43:48:51:57:64 SD: 2.5794 cents 38:43:46:51:57:61:68:76 SD: 2.1863 cents 48:54:58:64:72:77:86:96 SD: 1.8386 cents 50:56:61:67:75:80:90:100 SD: 1.6998 cents 56:63:68:75:84:90:100:112 SD: 1.2364 cents 74:83:90:99:111:119:133:148 SD: 1.0337 cents 88:99:107:118:132:141:158:176 SD: 0.7025 cents 106:119:129:142:159:170:190:212 SD: 0.5071 cents 121:136:147:162:181:194:217:242 SD: 0.4461 cents 177:199:215:237:265:284:317:354 SD: 0.4290 cents 195:219:237:261:292:313:350:390 SD: 0.3658 cents 209:235:254:280:313:335:375:418 SD: 0.3532 cents 227:255:276:304:340:364:407:454 SD: 0.1812 cents 339:381:412:454:508:544:608:678 SD: 0.1721 cents 381:428:463:510:571:611:683:762 SD: 0.1588 cents 460:517:559:616:689:738:825:920 SD: 0.1574 cents 478:537:581:640:716:767:857:956 SD: 0.1480 cents 502:564:610:672:752:805:900:1004 SD: 0.1426 cents 566:636:688:758:848:908:1015:1132 SD: 0.1082 cents