Scala analysis: levy-01-marva
Ex. 1: Amir Khan, Mārvā
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 100.000 cents 100.000000 2: 605.000 cents 605.000000 3: 900.000 cents 900.000000 4: 1104.000 cents 1104.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 96.0000 cents 96.0000 1: 100.0000 cents 100.0000 2: 505.0000 cents 505.0000 3: 295.0000 cents 295.0000 4: 204.0000 cents 204.0000 5: 96.0000 cents 96.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 96.00000 cents 1: 1 100.00000 cents 1: 1 204.00000 cents 1: 1 295.00000 cents 1: 1 505.00000 cents 2: 1 196.00000 cents 2: 1 300.00000 cents 2: 1 499.00000 cents 2: 1 605.00000 cents 2: 1 800.00000 cents 3: 1 400.00000 cents 3: 1 595.00000 cents 3: 1 701.00000 cents 3: 1 900.00000 cents 3: 1 1004.00000 cents 4: 1 695.00000 cents 4: 1 905.00000 cents 4: 1 996.00000 cents 4: 1 1100.00000 cents 4: 1 1104.00000 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 : 100.0 605.0 900.0 1104.0 1200.0 100.0 : 505.0 800.0 1004.0 1100.0 1200.0 605.0 : 295.0 499.0 595.0 695.0 1200.0 900.0 : 204.0 300.0 400.0 905.0 1200.0 1104.0: 96.0 196.0 701.0 996.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 96.0000 .. 505.0000 cents 409.00000 cents 96.00000 cents 2: 196.0000 .. 800.0000 cents 604.00000 cents -309.00000 cents 3: 400.0000 .. 1004.0000 cents 604.00000 cents -400.00000 cents 4: 695.0000 .. 1104.0000 cents 409.00000 cents -309.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 96.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 505.00000 cents Average / Smallest step : 2.500000 Largest / Average step : 2.104167 Largest / Smallest step : 5.260417 Median interval of one step : 204.00000 cents, amount: 1 Least squares average step : 262.29091 cents, oct.: 1311.45455 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 100 605 900 1104 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 601 of 601.000 cents and inv. generated superset size: 401 = 396 more = 8020.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BEDCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 5.00000 cents Scale diversity : 1.600229 Lumma stability : 0.160000 Lumma impropriety factor : 0.673333 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 : 4.00000 cents Number of recognisable fifths : 2, average 698.0000 cents Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 0 2 1 1 1 N T3 SD: 125.5078 c. M: 180.0000 c. 6: 0 3 1 1 1 N SD: 78.5379 c. M: 104.0000 c. 7: 0 3 2 1 1 N SD: 71.7709 c. M: 100.0000 c. 8: 1 3 2 1 1 N SD: 32.9879 c. M: 54.0000 c. 10: 1 4 2 2 1 N SD: 30.3348 c. M: 60.0000 c. 11: 1 5 2 2 1 N SD: 26.2776 c. M:-49.5455 c. 12: 1 5 3 2 1 N SD: 2.8636 c. M: 5.0000 c. 61: 5 26 15 10 5 N SD: 3.3417 c. M:-4.9180 c. 63: 5 27 15 11 5 N SD: 3.6441 c. M: 4.7619 c. 71: 6 30 17 12 6 N SD: 3.4927 c. M: 5.4085 c. 73: 6 31 18 12 6 N SD: 2.6850 c. M:-4.1096 c. 75: 6 32 18 13 6 N SD: 2.8636 c. M: 4.0000 c. 85: 7 36 21 14 7 N SD: 2.2826 c. M:-3.5294 c. 87: 7 37 21 15 7 N SD: 2.3530 c. M: 3.4483 c. 97: 8 41 24 16 8 N SD: 2.0420 c. M:-3.0928 c. 99: 8 42 24 17 8 N SD: 2.0214 c. M: 3.0303 c. 109: 9 46 27 18 9 N SD: 1.9065 c. M: 3.0826 c. 111: 9 47 27 19 9 N SD: 1.8142 c. M: 2.7027 c. 123: 10 52 30 21 10 N SD: 1.6941 c. M: 2.4390 c. 135: 11 57 33 23 11 N SD: 1.6337 c. M: 2.2222 c. 147: 12 62 36 25 12 N SD: 1.6132 c. M: 2.0408 c. 153: 13 64 38 26 12 N SD: 1.5745 c. M:-1.9608 c. 159: 13 67 39 27 13 N SD: 1.6180 c. M: 2.1132 c. 164: 14 69 40 28 13 N SD: 1.5549 c. M:-2.4390 c. 165: 14 69 41 28 13 N SD: 1.4551 c. M:-1.8182 c. 171: 14 72 42 29 14 N SD: 1.6384 c. M: 2.2456 c. 172: 14 73 42 29 14 N SD: 1.5569 c. M: 2.3256 c. 176: 15 74 43 30 14 N SD: 1.3243 c. M:-2.2727 c. 177: 15 74 44 30 14 N SD: 1.3795 c. M:-1.6949 c. 188: 16 79 46 32 15 N SD: 1.1406 c. M:-2.1277 c. 200: 17 84 49 34 16 N SD: 1.0000 c. M:-2.0000 c. 204: 17 86 50 35 16 N SD: 0.9297 c. M:-1.8824 c. 212: 18 89 52 36 17 N SD: 0.8997 c. M:-1.8868 c. 216: 18 91 53 37 17 N SD: 0.7387 c. M:-1.5556 c. 228: 19 96 56 39 18 N SD: 0.5770 c. M:-1.2632 c. 240: 20 101 59 41 19 N SD: 0.4472 c. M:-1.0000 c. 252: 21 106 62 43 20 N SD: 0.3570 c. M:-0.7619 c. 264: 22 111 65 45 21 N SD: 0.3175 c. M:-0.5455 c. 551: 46 232 135 94 44 N SD: 0.3339 c. M: 0.5445 c. 553: 46 233 136 94 44 N SD: 0.3947 c. M:-0.5425 c. 561: 47 236 138 95 45 N SD: 0.3895 c. M:-0.5348 c. 563: 47 237 138 96 45 N SD: 0.2935 c. M: 0.5329 c. 565: 47 238 139 96 45 N SD: 0.3434 c. M:-0.5310 c. 573: 48 241 141 97 46 N SD: 0.3784 c. M:-0.5236 c. 575: 48 242 141 98 46 N SD: 0.2645 c. M: 0.5217 c. 577: 48 243 142 98 46 N SD: 0.3003 c. M:-0.5199 c. 585: 49 246 144 99 47 N SD: 0.3770 c. M:-0.5128 c. 587: 49 247 144 100 47 N SD: 0.2487 c. M: 0.5111 c. 589: 49 248 145 100 47 N SD: 0.2671 c. M:-0.5093 c. 597: 50 251 147 101 48 N SD: 0.3843 c. M:-0.5025 c. 599: 50 252 147 102 48 N SD: 0.2468 c. M: 0.5008 c. 601: 50 253 148 102 48 N SD: 0.2459 c. M:-0.4992 c. 603: 50 254 148 103 48 N SD: 0.3805 c. M: 0.4975 c. 611: 51 257 150 104 49 N SD: 0.2575 c. M: 0.4910 c. 613: 51 258 151 104 49 N SD: 0.2381 c. M:-0.4894 c. 615: 51 259 151 105 49 N SD: 0.3586 c. M: 0.4878 c. 623: 52 262 153 106 50 N SD: 0.2781 c. M: 0.4815 c. 625: 52 263 154 106 50 N SD: 0.2433 c. M:-0.4800 c. 627: 52 264 154 107 50 N SD: 0.3458 c. M: 0.4785 c. 635: 53 267 156 108 51 N SD: 0.3055 c. M: 0.4724 c. 637: 53 268 157 108 51 N SD: 0.2594 c. M:-0.4710 c. 639: 53 269 157 109 51 N SD: 0.3420 c. M: 0.4695 c. 647: 54 272 159 110 52 N SD: 0.3373 c. M: 0.4637 c. 648: 54 273 159 110 52 N SD: 0.2816 c. M:-0.5556 c. 649: 54 273 160 110 52 N SD: 0.2835 c. M:-0.4622 c. 651: 54 274 160 111 52 N SD: 0.3464 c. M: 0.4608 c. 660: 55 278 162 112 53 N SD: 0.2603 c. M:-0.4545 c. 672: 56 283 165 114 54 N SD: 0.2495 c. M: 0.4286 c. 684: 57 288 168 116 55 N SD: 0.2492 c. M: 0.4912 c. 724: 60 305 178 123 58 N SD: 0.2544 c. M: 0.5525 c. 736: 61 310 181 125 59 N SD: 0.2629 c. M: 0.5435 c. 748: 62 315 184 127 60 N SD: 0.2782 c. M: 0.5348 c. 777: 65 327 191 132 62 N SD: 0.3236 c. M:-0.4054 c. 788: 66 331 194 134 63 N SD: 0.2992 c. M:-0.5076 c. 789: 66 332 194 134 63 N SD: 0.2922 c. M:-0.3802 c. 801: 67 337 197 136 64 N SD: 0.2661 c. M:-0.3745 c. 803: 67 338 197 137 64 N SD: 0.2595 c. M: 0.3736 c. 813: 68 342 200 138 65 N SD: 0.2463 c. M:-0.3690 c. 815: 68 343 200 139 65 N SD: 0.2284 c. M: 0.3681 c. 825: 69 347 203 140 66 N SD: 0.2335 c. M:-0.3636 c. 827: 69 348 203 141 66 N SD: 0.2031 c. M: 0.3628 c. 837: 70 352 206 142 67 N SD: 0.2283 c. M:-0.3584 c. 839: 70 353 206 143 67 N SD: 0.1852 c. M: 0.3576 c. 849: 71 357 209 144 68 N SD: 0.2304 c. M:-0.3534 c. 851: 71 358 209 145 68 N SD: 0.1761 c. M: 0.3525 c. 853: 71 359 210 145 68 N SD: 0.2268 c. M:-0.3517 c. 861: 72 362 212 146 69 N SD: 0.2390 c. M:-0.3484 c. 863: 72 363 212 147 69 N SD: 0.1761 c. M: 0.3476 c. 865: 72 364 213 147 69 N SD: 0.2152 c. M:-0.3468 c. 873: 73 367 215 148 70 N SD: 0.2531 c. M:-0.3436 c. 875: 73 368 215 149 70 N SD: 0.1847 c. M: 0.3429 c. 877: 73 369 216 149 70 N SD: 0.2109 c. M:-0.3421 c. 885: 74 372 218 150 71 N SD: 0.2713 c. M:-0.3390 c. 887: 74 373 218 151 71 N SD: 0.2001 c. M: 0.3382 c. 888: 74 374 218 151 71 N SD: 0.1829 c. M:-0.4054 c. 889: 74 374 219 151 71 N SD: 0.2139 c. M:-0.3375 c. 897: 75 377 221 152 72 N SD: 0.2925 c. M:-0.3344 c. 899: 75 378 221 153 72 N SD: 0.2204 c. M: 0.3337 c. 900: 75 379 221 153 72 N SD: 0.1491 c. M:-0.3333 c. 912: 76 384 224 155 73 N SD: 0.1200 c. M:-0.2632 c. 924: 77 389 227 157 74 N SD: 0.0987 c. M:-0.1948 c. 936: 78 394 230 159 75 N SD: 0.0896 c. M: 0.1538 c. 1164: 97 490 286 198 93 N SD: 0.0886 c. M:-0.1546 c. 1176: 98 495 289 200 94 N SD: 0.0584 c. M:-0.1020 c. 1188: 99 500 292 202 95 N SD: 0.0289 c. M:-0.0505 c. 1200: 100 505 295 204 96 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x 3 x x 4 S SD: 48.4775 cents 3 x 4:5 x 6 S SD: 36.0309 cents 4 x 6:7 x 8 S SD: 39.6334 cents 7:8:10:12:13:14 S SD: 27.9308 cents 8:9:11:13:15:16 SD: 26.4299 cents 9:10:13:15:17:18 SD: 17.9370 cents 10:11:14:17:19:20 SD: 14.3256 cents 12:13:17:20:23:24 SD: 9.4544 cents 15:16:21:25:28:30 SD: 7.5830 cents 16:17:23:27:30:32 SD: 5.8245 cents 17:18:24:29:32:34 SD: 5.4828 cents 19:20:27:32:36:38 SD: 2.4380 cents 47:50:67:79:89:94 SD: 2.2889 cents 48:51:68:81:91:96 SD: 1.7263 cents 50:53:71:84:95:100 SD: 1.5529 cents 65:69:92:109:123:130 SD: 1.4062 cents 67:71:95:113:127:134 SD: 1.1691 cents 81:86:115:136:153:162 SD: 1.1616 cents 82:87:116:138:155:164 SD: 1.1048 cents 84:89:119:141:159:168 SD: 0.7871 cents 100:106:142:168:189:200 SD: 0.6989 cents 101:107:143:170:191:202 SD: 0.6912 cents 103:109:146:173:195:206 SD: 0.6627 cents 119:126:169:200:225:238 SD: 0.6047 cents 148:157:210:249:280:296 SD: 0.4851 cents 151:160:214:254:286:302 SD: 0.4480 cents 167:177:237:281:316:334 SD: 0.3046 cents 220:233:312:370:416:440 SD: 0.2539 cents 251:266:356:422:475:502 SD: 0.1556 cents 270:286:383:454:511:540 SD: 0.1376 cents 437:463:620:735:827:874 SD: 0.1311 cents 471:499:668:792:891:942 SD: 0.0913 cents 538:570:763:905:1018:1076 SD: 0.0793 cents