Scala analysis: India_Rajah_Ram_Pal_Singh_01
Rajah Ram Pal Singh 1 (Sitar), India
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 183.000 cents 183.000000 2: 342.000 cents 342.000000 3: 553.000 cents 553.000000 4: 685.000 cents 685.000000 5: 871.000 cents 871.000000 6: 1074.000 cents 1074.000000 7: 1230.000 cents 1230.000000
SHOW/INTERVAL
0: 156.0000 cents 156.0000 1: 183.0000 cents 183.0000 2: 159.0000 cents 159.0000 3: 211.0000 cents 211.0000 4: 132.0000 cents 132.0000 5: 186.0000 cents 186.0000 6: 203.0000 cents 203.0000 7: 156.0000 cents 156.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 132.00000 cents 1: 1 156.00000 cents 1: 1 159.00000 cents 1: 1 183.00000 cents 1: 1 186.00000 cents 1: 1 203.00000 cents 1: 1 211.00000 cents 2: 1 318.00000 cents 2: 1 339.00000 cents 2: 1 342.00000 cents 2: 1 343.00000 cents 2: 1 359.00000 cents 2: 1 370.00000 cents 2: 1 389.00000 cents 3: 1 498.00000 cents 3: 1 502.00000 cents 3: 1 521.00000 cents 3: 1 529.00000 cents 3: 1 542.00000 cents 3: 1 545.00000 cents 3: 1 553.00000 cents 4: 1 677.00000 cents 4: 1 685.00000 cents 4: 1 688.00000 cents 4: 1 701.00000 cents 4: 1 709.00000 cents 4: 1 728.00000 cents 4: 1 732.00000 cents 5: 1 841.00000 cents 5: 1 860.00000 cents 5: 1 871.00000 cents 5: 1 887.00000 cents 5: 1 888.00000 cents 5: 1 891.00000 cents 5: 1 912.00000 cents 6: 1 1019.00000 cents 6: 1 1027.00000 cents 6: 1 1044.00000 cents 6: 1 1047.00000 cents 6: 1 1071.00000 cents 6: 1 1074.00000 cents 6: 1 1098.00000 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 : 183.0 342.0 553.0 685.0 871.0 1074.0 1230.0 183.0 : 159.0 370.0 502.0 688.0 891.0 1047.0 1230.0 342.0 : 211.0 343.0 529.0 732.0 888.0 1071.0 1230.0 553.0 : 132.0 318.0 521.0 677.0 860.0 1019.0 1230.0 685.0 : 186.0 389.0 545.0 728.0 887.0 1098.0 1230.0 871.0 : 203.0 359.0 542.0 701.0 912.0 1044.0 1230.0 1074.0: 156.0 339.0 498.0 709.0 841.0 1027.0 1230.0 1230.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 132.0000 .. 211.0000 cents 79.00000 cents 132.00000 cents 2: 318.0000 .. 389.0000 cents 71.00000 cents 107.00000 cents 3: 498.0000 .. 553.0000 cents 55.00000 cents 109.00000 cents 4: 677.0000 .. 732.0000 cents 55.00000 cents 124.00000 cents 5: 841.0000 .. 912.0000 cents 71.00000 cents 109.00000 cents 6: 1019.0000 .. 1098.0000 cents 79.00000 cents 107.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 132.00000 cents, class 1 Average step (divided formal octave): 175.7143 cents Largest one step interval : 211.00000 cents Average / Smallest step : 1.331169 Largest / Average step : 1.200813 Largest / Smallest step : 1.598485 Median interval of one step : 183.00000 cents, amount: 1 Least squares average step : 176.25000 cents, oct.: 1233.75000 cents Scale is strictly proper Scale is a mode of a 1230-tone equal temperament with octave 1230.000 cents degrees: 183 342 553 685 871 1074 1230 Least number of segments generator : 617 of 617.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 703 of 703.000 cents and inv. generated superset size: 307 = 300 more = 4385.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : DCGAEFB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 107.00000 cents Scale diversity : 1.334451 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.666667 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 : 3, average 699.3333 cents Number of appreciable fifths : 2, average 705.0000 cents Number of recognisable fourths : 2, average 500.0000 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% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 15.0020 c. M: 25.8571 c. Lebeng 18: 3 2 3 2 3 3 2 SP M ME S SD: 13.0997 c. M:-22.0000 c. 25: 4 3 4 3 4 4 3 SP M ME S SD: 9.5139 c. M:-14.6000 c. 31: 5 4 5 3 5 5 4 SP T3 SD: 9.1941 c. M:-15.3871 c. 32: 5 4 5 4 5 5 4 SP M ME S SD: 8.8167 c. M: 14.8750 c. 33: 5 4 6 3 5 6 4 SP SD: 8.6684 c. M: 14.0909 c. 34: 5 4 6 4 5 6 4 SP T3 SD: 8.6334 c. M: 16.4118 c. 36: 5 5 6 4 5 6 5 SP D3 SD: 9.9600 c. M: 16.8333 c. 38: 6 5 6 4 6 6 5 SP T3 SD: 7.5702 c. M:-14.0526 c. 39: 6 5 7 4 6 6 5 SP SD: 8.5012 c. M:-14.6923 c. 40: 6 5 7 4 6 7 5 SP SD: 5.2627 c. M: 10.0000 c. 47: 7 6 8 5 7 8 6 SP SD: 3.6143 c. M: 7.3830 c. 54: 8 7 9 6 8 9 7 SP SD: 3.4869 c. M: 6.3333 c. 65: 10 8 11 7 10 11 8 SP SD: 3.6730 c. M:-6.2308 c. 72: 11 9 12 8 11 12 9 SP SD: 3.2138 c. M: 6.3333 c. 73: 11 9 13 8 11 12 9 SP SD: 4.1288 c. M:-5.8219 c. 75: 11 10 13 8 11 12 10 SP SD: 4.0596 c. M: 8.0000 c. 76: 11 10 13 8 12 12 10 SP SD: 3.9150 c. M: 5.8421 c. 79: 12 10 14 8 12 13 10 SP SD: 3.2125 c. M:-7.5063 c. 85: 13 11 14 9 13 14 11 SP SD: 3.8824 c. M:-5.2941 c. 86: 13 11 15 9 13 14 11 SP SD: 2.3675 c. M:-4.7907 c. 93: 14 12 16 10 14 15 12 SP SD: 2.1654 c. M:-2.7419 c. 120: 18 15 21 13 18 20 15 SP SD: 1.8803 c. M: 3.7500 c. 127: 19 16 22 14 19 21 16 SP SD: 1.6711 c. M: 3.0236 c. 133: 20 17 23 14 20 22 17 SP SD: 1.3174 c. M:-1.9624 c. 140: 21 18 24 15 21 23 18 SP SD: 1.1377 c. M: 2.1429 c. 205: 30 27 35 22 31 34 26 SP SD: 1.3093 c. M: 3.0000 c. 215: 32 28 37 23 32 36 27 SP SD: 1.3072 c. M:-1.9302 c. 216: 32 28 37 23 33 36 27 SP SD: 1.1356 c. M:-2.2500 c. 223: 33 29 38 24 34 37 28 SP SD: 0.9847 c. M:-1.5605 c. 244: 36 32 42 26 37 40 31 SP SD: 0.9863 c. M: 1.5246 c. 260: 39 33 45 28 39 43 33 SP SD: 0.8980 c. M:-1.5000 c. 262: 39 34 45 28 40 43 33 SP SD: 1.0457 c. M:-2.2061 c. 267: 40 34 46 29 40 44 34 SP SD: 0.8731 c. M:-1.4045 c. 284: 42 37 49 30 43 47 36 SP SD: 0.7388 c. M:-1.3662 c. 291: 43 38 50 31 44 48 37 SP SD: 0.5973 c. M: 1.2474 c. 294: 44 38 50 32 44 49 37 SP SD: 0.9418 c. M:-1.2041 c. 298: 44 39 51 32 45 49 38 SP SD: 0.6580 c. M: 1.3893 c. 309: 46 40 53 33 47 51 39 SP SD: 0.4565 c. M:-0.7573 c. 316: 47 41 54 34 48 52 40 SP SD: 0.4255 c. M:-0.8987 c. 356: 53 46 61 38 54 59 45 SP SD: 0.4209 c. M: 0.8989 c. 363: 54 47 62 39 55 60 46 SP SD: 0.3507 c. M: 0.6860 c. 418: 62 54 72 45 63 69 53 SP SD: 0.4107 c. M: 0.6603 c. 449: 67 58 77 48 68 74 57 SP SD: 0.3090 c. M:-0.5412 c. 503: 75 65 86 54 76 83 64 SP SD: 0.3716 c. M: 0.5010 c. 551: 82 71 95 59 83 91 70 SP SD: 0.3617 c. M:-0.6116 c. 558: 83 72 96 60 84 92 71 SP SD: 0.3436 c. M:-0.5376 c. 607: 90 79 104 65 92 100 77 SP SD: 0.3295 c. M: 0.6277 c. 623: 93 80 107 67 94 103 79 SP SD: 0.3211 c. M:-0.6116 c. 654: 97 85 112 70 99 108 83 SP SD: 0.3031 c. M: 0.5688 c. 672: 100 87 115 72 102 111 85 SP SD: 0.2853 c. M: 0.4464 c. 727: 108 94 125 78 110 120 92 SP SD: 0.2571 c. M:-0.3466 c. 734: 109 95 126 79 111 121 93 SP SD: 0.2566 c. M:-0.3896 c. 758: 113 98 130 81 115 125 96 SP SD: 0.3035 c. M:-0.3879 c. 765: 114 99 131 82 116 126 97 SP SD: 0.2741 c. M:-0.4706 c. 774: 115 100 133 83 117 128 98 SP SD: 0.1965 c. M: 0.3333 c. 781: 116 101 134 84 118 129 99 SP SD: 0.1777 c. M: 0.3111 c. 867: 129 112 149 93 131 143 110 SP SD: 0.1468 c. M:-0.2872 c. 914: 136 118 157 98 138 151 116 SP SD: 0.1471 c. M: 0.3107 c. 921: 137 119 158 99 139 152 117 SP SD: 0.1532 c. M: 0.2541 c. 1090: 162 141 187 117 165 180 138 SP SD: 0.1461 c. M:-0.2752 c. 1097: 163 142 188 118 166 181 139 SP SD: 0.1597 c. M: 0.2379 c. 1137: 169 147 195 122 172 188 144 SP SD: 0.1771 c. M: 0.2243 c. 1176: 175 152 202 126 178 194 149 SP SD: 0.1601 c. M:-0.2908 c. 1183: 176 153 203 127 179 195 150 SP SD: 0.1436 c. M:-0.2933 c. 1223: 182 158 210 131 185 202 155 SP SD: 0.0859 c. M:-0.1480 c. 1230: 183 159 211 132 186 203 156 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 30.0000 cents 2 x x x 3 x x 4 S SD: 17.2299 cents 3 x x 4 x 5 x 6 S SD: 21.3399 cents 4 x 5 x 6:7 x 8 S SD: 28.1969 cents 5 x 6:7 x 8:9:10 S SD: 18.9018 cents 6 x 7:8:9:10:11:12 S SD: 17.1896 cents 7:8:9:10 x 12:13:14 S SD: 23.5168 cents 8:9:10:11:12:13:15:16 SD: 9.8181 cents 14:16:17:19:21:23:26:28 SD: 9.3378 cents 15:17:18:21:22:25:28:31 SD: 9.1699 cents 17:19:21:23:25:28:32:35 SD: 7.4797 cents 18:20:22:25:27:30:33:37 SD: 5.8090 cents 19:21:23:26:28:31:35:39 SD: 5.6269 cents 23:26:28:32:34:38:43:47 SD: 5.3805 cents 24:27:29:33:36:40:45:49 SD: 5.2465 cents 26:29:32:36:39:43:48:53 SD: 4.2954 cents 27:30:33:37:40:45:50:55 SD: 2.6374 cents 35:39:43:48:52:58:65:71 SD: 2.5182 cents 37:41:45:51:55:61:69:75 SD: 1.7218 cents 55:61:67:76:82:91:102:112 SD: 1.6105 cents 64:71:78:88:95:106:119:130 SD: 0.8037 cents 109:121:133:150:162:180:203:222 SD: 0.7528 cents 115:128:140:158:171:190:214:234 SD: 0.7156 cents 136:151:166:187:202:225:253:277 SD: 0.6226 cents 151:168:184:208:224:250:281:307 SD: 0.5978 cents 170:189:207:234:253:281:316:346 SD: 0.5338 cents 173:192:211:238:257:286:322:352 SD: 0.5240 cents 179:199:218:246:266:296:333:364 SD: 0.4486 cents 197:219:240:271:293:326:366:401 SD: 0.4480 cents 223:248:272:307:331:369:415:454 SD: 0.4342 cents 225:250:274:310:334:372:418:458 SD: 0.4311 cents 233:259:284:321:346:385:433:474 SD: 0.3945 cents 234:260:285:322:348:387:435:476 SD: 0.3519 cents 260:289:317:358:386:430:483:529 SD: 0.3494 cents 284:316:346:391:422:470:528:578 SD: 0.3371 cents 297:330:362:409:441:491:552:604 SD: 0.3084 cents 321:357:391:442:477:531:597:653 SD: 0.2421 cents 367:408:447:505:545:607:682:747 SD: 0.2240 cents 375:417:457:516:557:620:697:763 SD: 0.2055 cents 385:428:469:530:572:637:716:783 SD: 0.2043 cents 393:437:479:541:584:650:731:800 SD: 0.2023 cents 404:449:492:556:600:668:751:822 SD: 0.1735 cents 422:469:514:581:627:698:785:859 SD: 0.1724 cents 449:499:547:618:667:743:835:914 SD: 0.1696 cents 457:508:557:629:679:756:850:930 SD: 0.1330 cents 540:600:658:743:802:893:1004:1099 SD: 0.1330 cents