Scala analysis: levy-10-abhogi
Ex. 10: Z.M. Dagar, Ābhogī
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 197.000 cents 197.000000 2: 295.000 cents 295.000000 3: 497.000 cents 497.000000 4: 894.000 cents 894.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 306.0000 cents 306.0000 1: 197.0000 cents 197.0000 2: 98.0000 cents 98.0000 3: 202.0000 cents 202.0000 4: 397.0000 cents 397.0000 5: 306.0000 cents 306.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 98.00000 cents 1: 1 197.00000 cents 1: 1 202.00000 cents 1: 1 306.00000 cents 1: 1 397.00000 cents 2: 1 295.00000 cents 2: 1 300.00000 cents 2: 1 503.00000 cents 2: 1 599.00000 cents 2: 1 703.00000 cents 3: 1 497.00000 cents 3: 1 601.00000 cents 3: 1 697.00000 cents 3: 1 900.00000 cents 3: 1 905.00000 cents 4: 1 803.00000 cents 4: 1 894.00000 cents 4: 1 998.00000 cents 4: 1 1003.00000 cents 4: 1 1102.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 197.0 295.0 497.0 894.0 1200.0 197.0 : 98.0 300.0 697.0 1003.0 1200.0 295.0 : 202.0 599.0 905.0 1102.0 1200.0 497.0 : 397.0 703.0 900.0 998.0 1200.0 894.0 : 306.0 503.0 601.0 803.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 98.0000 .. 397.0000 cents 299.00000 cents 98.00000 cents 2: 295.0000 .. 703.0000 cents 408.00000 cents -102.00000 cents 3: 497.0000 .. 905.0000 cents 408.00000 cents -206.00000 cents 4: 803.0000 .. 1102.0000 cents 299.00000 cents -102.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 98.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 397.00000 cents Average / Smallest step : 2.448980 Largest / Average step : 1.654167 Largest / Smallest step : 4.051020 Median interval of one step : 202.00000 cents, amount: 1 Least squares average step : 215.52727 cents, oct.: 1077.63636 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 197 295 497 894 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 661 of 661.000 cents and inv. generated superset size: 301 = 296 more = 6020.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BACED Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.00000 cents Scale diversity : 1.590443 Lumma stability : 0.163333 Lumma impropriety factor : 0.341667 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 2, average 700.0000 cents Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 0 1 2 1 N T3 SD: 43.6326 c. M:-66.0000 c. 7: 1 1 1 2 2 N D3 S SD: 30.3363 c. M:-47.8571 c. 8: 1 1 1 3 2 N SD: 29.9299 c. M: 47.0000 c. 11: 2 1 2 3 3 N G T3 S SD: 29.2936 c. M:-48.4545 c. 12: 2 1 2 4 3 N SD: 3.9749 c. M:-6.0000 c. Raga Abhogi 66: 11 5 11 22 17 N SD: 3.8050 c. M: 6.0909 c. 73: 12 6 12 24 19 N SD: 3.3386 c. M: 6.3288 c. 74: 12 6 13 24 19 N SD: 3.2376 c. M:-5.7027 c. 77: 13 6 13 25 20 N SD: 3.6824 c. M: 5.6883 c. 78: 13 6 13 26 20 N SD: 2.8681 c. M: 4.6923 c. 85: 14 7 14 28 22 N SD: 2.5275 c. M: 4.5882 c. 90: 15 7 15 30 23 N SD: 2.2657 c. M: 3.6667 c. 97: 16 8 16 32 25 N SD: 1.9954 c. M: 3.2784 c. 102: 17 8 17 34 26 N SD: 1.9026 c. M:-3.0000 c. 109: 18 9 18 36 28 N SD: 1.6747 c. M: 2.2569 c. 121: 20 10 20 40 31 N SD: 1.5178 c. M:-2.5207 c. 133: 22 11 22 44 34 N SD: 1.4789 c. M:-2.7444 c. 154: 25 13 26 51 39 N SD: 1.6344 c. M: 2.1948 c. 157: 26 13 26 52 40 N SD: 1.5892 c. M:-3.0892 c. 160: 26 13 27 53 41 N SD: 1.8166 c. M: 2.5000 c. 162: 27 13 27 54 41 N SD: 1.8138 c. M:-3.0000 c. 164: 27 13 28 54 42 N SD: 1.2436 c. M: 2.3171 c. 172: 28 14 29 57 44 N SD: 1.4363 c. M: 1.9767 c. 176: 29 14 30 58 45 N SD: 1.0033 c. M: 1.8182 c. 184: 30 15 31 61 47 N SD: 1.1155 c. M: 1.5217 c. 188: 31 15 32 62 48 N SD: 0.8463 c. M: 1.3830 c. 196: 32 16 33 65 50 N SD: 0.8503 c. M: 1.1224 c. 200: 33 16 34 66 51 N SD: 0.7746 c. M:-1.0000 c. 208: 34 17 35 69 53 N SD: 0.6445 c. M: 0.8462 c. 220: 36 18 37 73 56 N SD: 0.5126 c. M: 0.6364 c. 232: 38 19 39 77 59 N SD: 0.4726 c. M:-0.8276 c. 341: 56 28 57 113 87 N SD: 0.4585 c. M: 0.8123 c. 391: 64 32 66 129 100 N SD: 0.5156 c. M: 0.9054 c. 396: 65 32 67 131 101 N SD: 0.4755 c. M: 1.0606 c. 403: 66 33 68 133 103 N SD: 0.4079 c. M: 0.6998 c. 408: 67 33 69 135 104 N SD: 0.3998 c. M: 0.8824 c. 415: 68 34 70 137 106 N SD: 0.3229 c. M: 0.5060 c. 427: 70 35 72 141 109 N SD: 0.2715 c. M:-0.4239 c. 439: 72 36 74 145 112 N SD: 0.2644 c. M:-0.4943 c. 451: 74 37 76 149 115 N SD: 0.2979 c. M:-0.5610 c. 517: 85 42 87 171 132 N SD: 0.2700 c. M: 0.3830 c. 529: 87 43 89 175 135 N SD: 0.2182 c. M:-0.3535 c. 541: 89 44 91 179 138 N SD: 0.2001 c. M:-0.4122 c. 553: 91 45 93 183 141 N SD: 0.2190 c. M:-0.4684 c. 635: 104 52 107 210 162 N SD: 0.2344 c. M: 0.4646 c. 647: 106 53 109 214 165 N SD: 0.1872 c. M: 0.4003 c. 659: 108 54 111 218 168 N SD: 0.1643 c. M: 0.3384 c. 671: 110 55 113 222 171 N SD: 0.1721 c. M: 0.2787 c. 749: 123 61 126 248 191 N SD: 0.1794 c. M: 0.3378 c. 761: 125 62 128 252 194 N SD: 0.1525 c. M: 0.2852 c. 773: 127 63 130 256 197 N SD: 0.1500 c. M: 0.2342 c. 956: 157 78 161 316 244 N SD: 0.1318 c. M: 0.2762 c. 968: 159 79 163 320 247 N SD: 0.1133 c. M: 0.1983 c. 980: 161 80 165 324 250 N SD: 0.1151 c. M:-0.1429 c. 992: 163 81 167 328 253 N SD: 0.1351 c. M:-0.1774 c. 1164: 191 95 196 385 297 N SD: 0.1229 c. M: 0.1856 c. 1176: 193 96 198 389 300 N SD: 0.0811 c. M: 0.1224 c. 1188: 195 97 200 393 303 N SD: 0.0402 c. M: 0.0606 c. 1200: 197 98 202 397 306 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x x 3:4 S SD: 96.0225 cents 3 x x 4:5:6 S SD: 3.2326 cents 4 x 5 x 7:8 SD: 39.3518 cents 5 x 6:7:8:10 S SD: 29.7791 cents 6 x 7:8:10:12 S SD: 7.4385 cents 7:8 x 9:12:14 S SD: 20.2060 cents 8:9 x 11:13:16 SD: 19.1335 cents 9:10:11:12:15:18 S SD: 11.0520 cents 13 x 15:17:22:26 SD: 14.9505 cents 14:16:17:19:23:28 SD: 14.2231 cents 15:17:18:20:25:30 SD: 6.0255 cents 16:18:19:21:27:32 SD: 5.9406 cents 25:28:30:33:42:50 SD: 5.3345 cents 27:30:32:36:45:54 S SD: 3.5091 cents 33:37:39:44:55:66 SD: 2.2691 cents 43:48:51:57:72:86 SD: 2.2601 cents 49:55:58:65:82:98 SD: 1.8552 cents 59:66:70:79:99:118 SD: 1.8281 cents 65:73:77:87:109:130 SD: 1.7729 cents 66:74:78:88:111:132 SD: 1.6980 cents 75:84:89:100:126:150 SD: 0.9093 cents 108:121:128:144:181:216 SD: 0.2753 cents 232:260:275:309:389:464 SD: 0.2641 cents 274:307:325:365:459:548 SD: 0.2226 cents 340:381:403:453:570:680 SD: 0.1816 cents 349:391:414:465:585:698 SD: 0.1604 cents 382:428:453:509:640:764 SD: 0.1278 cents 457:512:542:609:766:914 SD: 0.0919 cents 565:633:670:753:947:1130 SD: 0.0824 cents