Scala analysis: levy-02-marva
Ex. 2: Amir Khan, Mārvā
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 96.000 cents 96.000000 2: 410.000 cents 410.000000 3: 605.000 cents 605.000000 4: 901.000 cents 901.000000 5: 1111.000 cents 1111.000000 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 89.0000 cents 89.0000 1: 96.0000 cents 96.0000 2: 314.0000 cents 314.0000 3: 195.0000 cents 195.0000 4: 296.0000 cents 296.0000 5: 210.0000 cents 210.0000 6: 89.0000 cents 89.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 89.00000 cents 1: 1 96.00000 cents 1: 1 195.00000 cents 1: 1 210.00000 cents 1: 1 296.00000 cents 1: 1 314.00000 cents 2: 1 185.00000 cents 2: 1 299.00000 cents 2: 1 410.00000 cents 2: 1 491.00000 cents 2: 1 506.00000 cents 2: 1 509.00000 cents 3: 1 395.00000 cents 3: 1 499.00000 cents 3: 1 595.00000 cents 3: 1 605.00000 cents 3: 1 701.00000 cents 3: 1 805.00000 cents 4: 1 691.00000 cents 4: 1 694.00000 cents 4: 1 709.00000 cents 4: 1 790.00000 cents 4: 1 901.00000 cents 4: 1 1015.00000 cents 5: 1 886.00000 cents 5: 1 904.00000 cents 5: 1 990.00000 cents 5: 1 1005.00000 cents 5: 1 1104.00000 cents 5: 1 1111.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 96.0 410.0 605.0 901.0 1111.0 1200.0 96.0 : 314.0 509.0 805.0 1015.0 1104.0 1200.0 410.0 : 195.0 491.0 701.0 790.0 886.0 1200.0 605.0 : 296.0 506.0 595.0 691.0 1005.0 1200.0 901.0 : 210.0 299.0 395.0 709.0 904.0 1200.0 1111.0: 89.0 185.0 499.0 694.0 990.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 89.0000 .. 314.0000 cents 225.00000 cents 89.00000 cents 2: 185.0000 .. 509.0000 cents 324.00000 cents -129.00000 cents 3: 395.0000 .. 805.0000 cents 410.00000 cents -114.00000 cents 4: 691.0000 .. 1015.0000 cents 324.00000 cents -114.00000 cents 5: 886.0000 .. 1111.0000 cents 225.00000 cents -129.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 89.00000 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 314.00000 cents Average / Smallest step : 2.247191 Largest / Average step : 1.570000 Largest / Smallest step : 3.528090 Median interval of one step : 202.50000 cents, amount: 0 Least squares average step : 209.78022 cents, oct.: 1258.68132 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 96 410 605 901 1111 1200 Least number of segments generator : 607 of 607.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 673 of 673.000 cents and inv. generated superset size: 286 = 280 more = 4766.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : BFCEDA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.00000 cents Scale diversity : 1.550383 Lumma stability : 0.148333 Lumma impropriety factor : 0.405000 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 3.00000 cents Number of recognisable fifths : 4, average 698.7500 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 0 2 1 1 1 1 N T3 SD: 72.8732 c. M: 111.0000 c. 7: 0 2 1 2 1 1 N SD: 71.4973 c. M: 96.0000 c. 8: 1 2 1 2 1 1 P D3 SD: 37.1102 c. M: 61.0000 c. 10: 1 2 2 2 2 1 P D3 I SD: 36.0162 c. M: 61.0000 c. 11: 1 3 2 2 2 1 N SD: 27.4595 c. M:-49.5455 c. 12: 1 3 2 3 2 1 N SD: 6.6207 c. M: 11.0000 c. Raga Hamsanandi, Marva, Pancama, Puriya, Sohni (Sohoni) 40: 3 11 6 10 7 3 N SD: 5.2122 c. M:-10.0000 c. 41: 3 11 7 10 7 3 N SD: 5.7932 c. M:-9.6341 c. 49: 4 13 8 12 8 4 N SD: 5.8146 c. M: 8.9592 c. 50: 4 13 8 12 9 4 N SD: 6.4161 c. M: 13.0000 c. 51: 4 13 9 12 9 4 N SD: 6.0946 c. M: 10.0000 c. 52: 4 14 8 13 9 4 N SD: 3.6416 c. M:-5.3846 c. 64: 5 17 10 16 11 5 N SD: 3.1590 c. M: 5.0000 c. 65: 5 17 11 16 11 5 N SD: 3.4239 c. M:-4.2308 c. 73: 6 19 12 18 13 5 N SD: 3.5171 c. M:-6.8082 c. 76: 6 20 12 19 13 6 N SD: 3.1829 c. M: 5.7368 c. 79: 6 21 13 19 14 6 N SD: 3.1083 c. M: 4.8608 c. 85: 7 22 14 21 15 6 N SD: 2.4965 c. M:-4.2941 c. 97: 8 25 16 24 17 7 N SD: 1.9766 c. M:-2.9691 c. 109: 9 28 18 27 19 8 N SD: 1.8603 c. M:-3.0826 c. 123: 10 32 20 30 22 9 N SD: 1.6210 c. M: 3.4390 c. 125: 10 33 20 31 22 9 N SD: 1.6633 c. M:-2.8000 c. 135: 11 35 22 33 24 10 N SD: 1.5863 c. M: 3.2222 c. 137: 11 36 22 34 24 10 N SD: 1.0588 c. M:-1.6788 c. 149: 12 39 24 37 26 11 N SD: 0.7190 c. M:-1.0134 c. 228: 18 60 37 56 40 17 N SD: 0.7264 c. M: 1.2632 c. 240: 19 63 39 59 42 18 N SD: 0.7071 c. M: 1.0000 c. 252: 20 66 41 62 44 19 N SD: 0.8209 c. M: 1.4762 c. 272: 22 71 44 67 48 20 N SD: 0.7232 c. M:-1.0588 c. 284: 23 74 46 70 50 21 N SD: 0.7178 c. M:-1.1831 c. 310: 25 81 50 77 54 23 N SD: 0.6897 c. M: 1.1290 c. 313: 25 82 51 77 55 23 N SD: 0.4678 c. M:-0.8211 c. 325: 26 85 53 80 57 24 N SD: 0.2791 c. M:-0.5385 c. 337: 27 88 55 83 59 25 N SD: 0.2594 c. M: 0.5045 c. 389: 31 102 63 96 68 29 N SD: 0.3215 c. M: 0.4602 c. 462: 37 121 75 114 81 34 N SD: 0.3567 c. M:-0.6883 c. 474: 38 124 77 117 83 35 N SD: 0.2182 c. M:-0.3924 c. 486: 39 127 79 120 85 36 N SD: 0.1704 c. M:-0.2963 c. 702: 56 184 114 173 123 52 N SD: 0.1782 c. M: 0.2735 c. 714: 57 187 116 176 125 53 N SD: 0.1160 c. M: 0.2017 c. 863: 69 226 140 213 151 64 N SD: 0.1013 c. M:-0.1970 c. 1051: 84 275 171 259 184 78 N SD: 0.1019 c. M: 0.1437 c. 1188: 95 311 193 293 208 88 N SD: 0.0669 c. M:-0.1111 c. 1200: 96 314 195 296 210 89 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 48.4775 cents 3 x 4 x 5 x 6 S SD: 29.8680 cents 4 x 5:6:7 x 8 S SD: 30.1679 cents 5 x 6:7:8 x 10 S SD: 32.6276 cents 6 x 8:9:10:11:12 S SD: 29.1398 cents 7:8:9:10:12:13:14 S SD: 24.5141 cents 8:9:10:11:13:15:16 SD: 23.1307 cents 9:10:11:13:15:17:18 SD: 18.8260 cents 10:11:13:14:17:19:20 SD: 14.4659 cents 11:12:14:16:19:21:22 SD: 14.0079 cents 12:13:15:17:20:23:24 SD: 8.9584 cents 15:16:19:21:25:29:30 SD: 7.3584 cents 16:17:20:23:27:30:32 SD: 6.9188 cents 18:19:23:26:30:34:36 SD: 6.6412 cents 19:20:24:27:32:36:38 SD: 1.8055 cents 53:56:67:75:89:101:106 SD: 1.4454 cents 67:71:85:95:113:127:134 SD: 1.2215 cents 72:76:91:102:121:137:144 SD: 1.0944 cents 86:91:109:122:145:163:172 SD: 0.9329 cents 89:94:113:126:150:169:178 SD: 0.9261 cents 101:107:128:143:170:192:202 SD: 0.8452 cents 108:114:137:153:182:205:216 SD: 0.7692 cents 120:127:152:170:202:228:240 SD: 0.5160 cents 139:147:176:197:234:264:278 SD: 0.3756 cents 210:222:266:298:353:399:420 SD: 0.3710 cents 246:260:312:349:414:467:492 SD: 0.3368 cents 261:276:331:370:439:496:522 SD: 0.3317 cents 277:293:351:393:466:526:554 SD: 0.2717 cents 280:296:355:397:471:532:560 SD: 0.2072 cents 299:316:379:424:503:568:598 SD: 0.1332 cents 438:463:555:621:737:832:876 SD: 0.1123 cents