Scala analysis: India_Rajah_Ram_Pal_Singh_03
Rajah Ram Pal Singh 3 (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: 271.000 cents 271.000000 3: 534.000 cents 534.000000 4: 686.000 cents 686.000000 5: 872.000 cents 872.000000 6: 983.000 cents 983.000000 7: 1232.000 cents 1232.000000
SHOW/INTERVAL
0: 249.0000 cents 249.0000 1: 183.0000 cents 183.0000 2: 88.0000 cents 88.0000 3: 263.0000 cents 263.0000 4: 152.0000 cents 152.0000 5: 186.0000 cents 186.0000 6: 111.0000 cents 111.0000 7: 249.0000 cents 249.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 88.00000 cents 1: 1 111.00000 cents 1: 1 152.00000 cents 1: 1 183.00000 cents 1: 1 186.00000 cents 1: 1 249.00000 cents 1: 1 263.00000 cents 2: 1 271.00000 cents 2: 1 297.00000 cents 2: 1 338.00000 cents 2: 1 351.00000 cents 2: 1 360.00000 cents 2: 1 415.00000 cents 2: 1 432.00000 cents 3: 1 449.00000 cents 3: 1 503.00000 cents 3: 1 520.00000 cents 3: 1 534.00000 cents 3: 1 543.00000 cents 3: 1 546.00000 cents 3: 1 601.00000 cents 4: 1 631.00000 cents 4: 1 686.00000 cents 4: 1 689.00000 cents 4: 1 698.00000 cents 4: 1 712.00000 cents 4: 1 729.00000 cents 4: 1 783.00000 cents 5: 1 800.00000 cents 5: 1 817.00000 cents 5: 1 872.00000 cents 5: 1 881.00000 cents 5: 1 894.00000 cents 5: 1 935.00000 cents 5: 1 961.00000 cents 6: 1 969.00000 cents 6: 1 983.00000 cents 6: 1 1046.00000 cents 6: 1 1049.00000 cents 6: 1 1080.00000 cents 6: 1 1121.00000 cents 6: 1 1144.00000 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 : 183.0 271.0 534.0 686.0 872.0 983.0 1232.0 183.0 : 88.0 351.0 503.0 689.0 800.0 1049.0 1232.0 271.0 : 263.0 415.0 601.0 712.0 961.0 1144.0 1232.0 534.0 : 152.0 338.0 449.0 698.0 881.0 969.0 1232.0 686.0 : 186.0 297.0 546.0 729.0 817.0 1080.0 1232.0 872.0 : 111.0 360.0 543.0 631.0 894.0 1046.0 1232.0 983.0 : 249.0 432.0 520.0 783.0 935.0 1121.0 1232.0 1232.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 88.0000 .. 263.0000 cents 175.00000 cents 88.00000 cents 2: 271.0000 .. 432.0000 cents 161.00000 cents 8.00000 cents 3: 449.0000 .. 601.0000 cents 152.00000 cents 17.00000 cents 4: 631.0000 .. 783.0000 cents 152.00000 cents 30.00000 cents 5: 800.0000 .. 961.0000 cents 161.00000 cents 17.00000 cents 6: 969.0000 .. 1144.0000 cents 175.00000 cents 8.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 88.00000 cents, class 1 Average step (divided formal octave): 176.0000 cents Largest one step interval : 263.00000 cents Average / Smallest step : 2.000000 Largest / Average step : 1.494318 Largest / Smallest step : 2.988636 Median interval of one step : 183.00000 cents, amount: 1 Least squares average step : 171.09286 cents, oct.: 1197.65000 cents Scale is strictly proper Scale is a mode of a 1232-tone equal temperament with octave 1232.000 cents degrees: 183 271 534 686 872 983 1232 Least number of segments generator : 617 of 617.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 929 of 929.000 cents and inv. generated superset size: 312 = 305 more = 4457.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : DAGCEBF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 8.00000 cents Scale diversity : 1.630952 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.207792 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 : 3.00000 cents Number of recognisable fifths : 4, average 696.2500 cents Number of appreciable fifths : 3, average 699.6667 cents Number of recognisable fourths : 1, average 503.0000 cents Best fifths form a closed circle Best major 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: 42.0255 c. M:-81.0000 c. Lebeng 8: 1 1 1 1 2 0 2 P D3 S SD: 51.3795 c. M: 72.0000 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 28.0336 c. M: 50.6667 c. Pseudo Pelog, Pelogic-7, Antiionian 11: 2 0 3 1 2 1 2 N SD: 29.1866 c. M: 47.0000 c. 13: 2 1 3 1 2 1 3 N T3 SD: 22.4884 c. M: 35.3077 c. 14: 2 1 3 2 2 1 3 P T3 SD: 10.3303 c. M:-18.0000 c. 27: 4 2 6 3 4 3 5 P SD: 9.6680 c. M:-20.8519 c. 31: 5 2 6 4 5 3 6 SP SD: 10.8515 c. M: 17.3548 c. 32: 5 2 7 4 5 3 6 P SD: 9.8034 c. M:-18.0000 c. 33: 5 2 7 4 5 3 7 P SD: 10.4281 c. M: 14.0000 c. 34: 5 2 8 4 5 3 7 N SD: 7.8239 c. M: 17.3529 c. 39: 6 3 8 5 6 3 8 P SD: 8.2802 c. M:-13.3077 c. 40: 6 3 8 5 6 4 8 SP SD: 6.7540 c. M: 10.4000 c. 41: 6 3 9 5 6 4 8 P SD: 4.7156 c. M:-8.6098 c. 49: 7 4 10 6 8 4 10 SP SD: 5.8182 c. M:-8.0000 c. 54: 8 4 11 7 8 5 11 SP SD: 4.2313 c. M: 9.2593 c. 55: 8 4 12 7 8 5 11 P SD: 4.0021 c. M:-8.4000 c. 59: 9 4 13 7 9 5 12 P SD: 4.4911 c. M:-8.9153 c. 65: 10 4 14 8 10 6 13 P SD: 3.8850 c. M:-6.5385 c. 69: 10 5 15 8 11 6 14 P SD: 3.7474 c. M: 7.5072 c. 73: 11 5 16 9 11 6 15 P SD: 4.2830 c. M:-6.0548 c. 74: 11 5 16 9 11 7 15 P SD: 3.2595 c. M: 6.2703 c. 76: 11 6 16 9 12 7 15 SP SD: 4.0688 c. M:-5.8421 c. 79: 12 5 17 10 12 7 16 P SD: 3.1177 c. M: 5.8861 c. 81: 12 6 17 10 12 8 16 SP SD: 3.1692 c. M:-5.6420 c. 83: 12 6 18 10 13 7 17 P SD: 3.2528 c. M: 4.8795 c. 86: 13 6 18 11 13 8 17 SP SD: 3.0111 c. M:-5.4651 c. 88: 13 6 19 11 13 8 18 P SD: 2.8031 c. M: 5.0000 c. 95: 14 7 20 12 14 9 19 SP SD: 1.9770 c. M: 3.1158 c. 99: 15 7 21 12 15 9 20 SP SD: 1.9130 c. M:-3.6667 c. 113: 17 8 24 14 17 10 23 SP SD: 1.3041 c. M:-2.3451 c. 154: 23 11 33 19 23 14 31 SP SD: 1.2536 c. M:-2.0000 c. 182: 27 13 39 22 28 16 37 SP SD: 1.1756 c. M: 2.3077 c. 203: 30 15 43 25 31 18 41 SP SD: 1.1400 c. M:-2.1034 c. 208: 31 15 44 26 31 19 42 SP SD: 0.9479 c. M:-1.4615 c. 223: 33 16 48 27 34 20 45 SP SD: 0.9243 c. M:-1.8924 c. 237: 35 17 51 29 36 21 48 SP SD: 0.8994 c. M:-1.4262 c. 267: 40 19 57 33 40 24 54 SP SD: 1.0632 c. M:-1.5693 c. 268: 40 19 57 33 41 24 54 SP SD: 0.8541 c. M:-1.4328 c. 277: 41 20 59 34 42 25 56 SP SD: 0.5057 c. M: 1.0614 c. 291: 43 21 62 36 44 26 59 SP SD: 0.5178 c. M: 0.9519 c. 390: 58 28 83 48 59 35 79 SP SD: 0.3960 c. M:-0.6718 c. 431: 64 31 92 53 65 39 87 SP SD: 0.3213 c. M:-0.5545 c. 445: 66 32 95 55 67 40 90 SP SD: 0.3113 c. M:-0.5978 c. 510: 76 36 109 63 77 46 103 SP SD: 0.2942 c. M:-0.5922 c. 627: 93 45 134 77 95 56 127 SP SD: 0.3455 c. M: 0.5439 c. 632: 94 45 135 78 95 57 128 SP SD: 0.3331 c. M: 0.6329 c. 674: 100 48 144 83 102 61 136 SP SD: 0.3377 c. M: 0.5401 c. 688: 102 49 147 85 104 62 139 SP SD: 0.3084 c. M: 0.6047 c. 699: 104 50 149 86 106 63 141 SP SD: 0.3495 c. M:-0.4850 c. 708: 105 51 151 87 107 64 143 SP SD: 0.2836 c. M:-0.4576 c. 713: 106 51 152 88 108 64 144 SP SD: 0.2665 c. M:-0.5947 c. 722: 107 52 154 89 109 65 146 SP SD: 0.2078 c. M: 0.4183 c. 787: 117 56 168 97 119 71 159 SP SD: 0.1760 c. M: 0.3380 c. 801: 119 57 171 99 121 72 162 SP SD: 0.1729 c. M: 0.2984 c. 941: 140 67 201 116 142 85 190 SP SD: 0.1601 c. M:-0.2944 c. 955: 142 68 204 118 144 86 193 SP SD: 0.1467 c. M:-0.3079 c. 1078: 160 77 230 133 163 97 218 SP SD: 0.1791 c. M: 0.2857 c. 1119: 166 80 239 138 169 101 226 SP SD: 0.1317 c. M: 0.2368 c. 1218: 181 87 260 150 184 110 246 SP SD: 0.1187 c. M: 0.2069 c. 1232: 183 88 263 152 186 111 249 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 32.0000 cents 2 x x x 3 x x 4 S SD: 17.8785 cents 3 x x 4 x 5 x 6 S SD: 16.5647 cents 4 x 5 x 6 x 7:8 S SD: 30.3899 cents 5 x 6:7 x 8:9:10 S SD: 19.9676 cents 6 x 7:8:9:10:11:12 S SD: 14.0882 cents 7 x 8 x 10 x 12:14 S SD: 24.7375 cents 8:9 x 11:12:13:14:16 SD: 9.4386 cents 14 x 16:19:21:23:25:29 SD: 9.5536 cents 16:18:19:22:24:26:28:33 SD: 8.2544 cents 17:19:20:23:25:28:30:35 SD: 4.6192 cents 25:28:29:34:37:41:44:51 SD: 3.7621 cents 29:32:34:39:43:48:51:59 SD: 3.7166 cents 35:39:41:48:52:58:62:71 SD: 2.4781 cents 47:52:55:64:70:78:83:96 SD: 1.5991 cents 64:71:75:87:95:106:113:130 SD: 1.1510 cents 72:80:84:98:107:119:127:147 SD: 0.8563 cents 107:119:125:146:159:177:189:218 SD: 0.7115 cents 136:151:159:185:202:225:240:277 SD: 0.3814 cents 224:249:262:305:333:371:395:456 SD: 0.3348 cents 241:268:282:328:358:399:425:491 SD: 0.2897 cents 296:329:346:403:440:490:522:603 SD: 0.1965 cents 432:480:505:588:642:715:762:880 SD: 0.1636 cents 484:538:566:659:719:801:854:986 SD: 0.1303 cents