Scala analysis: India_Rajah_Ram_Pal_Singh_02
Rajah Ram Pal Singh 2 (Sitar), India
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 174.000 cents 174.000000 2: 350.000 cents 350.000000 3: 477.000 cents 477.000000 4: 697.000 cents 697.000000 5: 908.000 cents 908.000000 6: 1070.000 cents 1070.000000 7: 1181.000 cents 1181.000000
SHOW/INTERVAL
0: 111.0000 cents 111.0000 1: 174.0000 cents 174.0000 2: 176.0000 cents 176.0000 3: 127.0000 cents 127.0000 4: 220.0000 cents 220.0000 5: 211.0000 cents 211.0000 6: 162.0000 cents 162.0000 7: 111.0000 cents 111.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 111.00000 cents 1: 1 127.00000 cents 1: 1 162.00000 cents 1: 1 174.00000 cents 1: 1 176.00000 cents 1: 1 211.00000 cents 1: 1 220.00000 cents 2: 1 273.00000 cents 2: 1 285.00000 cents 2: 1 303.00000 cents 2: 1 347.00000 cents 2: 1 350.00000 cents 2: 1 373.00000 cents 2: 1 431.00000 cents 3: 1 447.00000 cents 3: 1 461.00000 cents 3: 1 477.00000 cents 3: 1 484.00000 cents 3: 1 523.00000 cents 3: 1 558.00000 cents 3: 1 593.00000 cents 4: 1 588.00000 cents 4: 1 623.00000 cents 4: 1 658.00000 cents 4: 1 697.00000 cents 4: 1 704.00000 cents 4: 1 720.00000 cents 4: 1 734.00000 cents 5: 1 750.00000 cents 5: 1 808.00000 cents 5: 1 831.00000 cents 5: 1 834.00000 cents 5: 1 878.00000 cents 5: 1 896.00000 cents 5: 1 908.00000 cents 6: 1 961.00000 cents 6: 1 970.00000 cents 6: 1 1005.00000 cents 6: 1 1007.00000 cents 6: 1 1019.00000 cents 6: 1 1054.00000 cents 6: 1 1070.00000 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 : 174.0 350.0 477.0 697.0 908.0 1070.0 1181.0 174.0 : 176.0 303.0 523.0 734.0 896.0 1007.0 1181.0 350.0 : 127.0 347.0 558.0 720.0 831.0 1005.0 1181.0 477.0 : 220.0 431.0 593.0 704.0 878.0 1054.0 1181.0 697.0 : 211.0 373.0 484.0 658.0 834.0 961.0 1181.0 908.0 : 162.0 273.0 447.0 623.0 750.0 970.0 1181.0 1070.0: 111.0 285.0 461.0 588.0 808.0 1019.0 1181.0 1181.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 111.0000 .. 220.0000 cents 109.00000 cents 111.00000 cents 2: 273.0000 .. 431.0000 cents 158.00000 cents 53.00000 cents 3: 447.0000 .. 593.0000 cents 146.00000 cents 16.00000 cents 4: 588.0000 .. 734.0000 cents 146.00000 cents -5.00000 cents 5: 750.0000 .. 908.0000 cents 158.00000 cents 16.00000 cents 6: 961.0000 .. 1070.0000 cents 109.00000 cents 53.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 111.00000 cents, class 1 Average step (divided formal octave): 168.7143 cents Largest one step interval : 220.00000 cents Average / Smallest step : 1.519949 Largest / Average step : 1.303980 Largest / Smallest step : 1.981982 Median interval of one step : 174.00000 cents, amount: 1 Least squares average step : 173.71429 cents, oct.: 1216.00000 cents Scale is not proper Scale is a mode of a 1181-tone equal temperament with octave 1181.000 cents degrees: 174 350 477 697 908 1070 1181 Least number of segments generator : 591 of 591.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1137 of 1137.000 cents and inv. generated superset size: 186 = 179 more = 2657.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : DEBGFCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 5.00000 cents Scale diversity : 1.673117 Lumma stability : 0.304826 Lumma impropriety factor : 0.004234 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 : 2.00000 cents Number of recognisable fifths : 3, average 707.0000 cents Number of appreciable fifths : 2, average 700.5000 cents Number of recognisable fourths : 1, average 484.0000 cents Number of appreciable fourths : 0 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: 35.8719 c. M: 64.4286 c. Lebeng 8: 1 1 1 2 1 1 1 P M ME I SD: 34.6110 c. M: 54.7500 c. 9: 1 2 1 1 2 1 1 P M ME S SD: 34.2727 c. M:-47.8889 c. Pelog Saptanada: Sunda 10: 1 2 1 2 2 1 1 N D3 SD: 25.9221 c. M: 55.9000 c. 12: 2 2 1 2 2 2 1 P M ME S SD: 21.9558 c. M:-43.6667 c. G.Lydian, M.Ionian, M.Hypolydian, Major, Bilaval That, Mela Shankarabharanam, Raga Atana, Ghana Heptatonic, Peruvian Major, Matzore, Rast ascending: Greece, 4th plagal Byzantine, Ararai: Ethiopia, Makam Cargah, Ajam Ashiran, Dastgah-e Mahur, Dastgah-e Rast Panjgah, Xin: China, DS2, Heptatonia prima 13: 2 2 1 3 2 2 1 N T3 SD: 17.1104 c. M:-29.7692 c. 14: 2 2 2 2 3 2 1 P T3 SD: 19.3929 c. M:-29.1429 c. 17: 3 2 2 3 3 2 2 SP D3 S SD: 17.2683 c. M:-34.4118 c. Pseudo Rast 18: 3 2 2 4 3 2 2 P SD: 18.7027 c. M:-24.7222 c. 19: 3 3 2 3 4 2 2 P SD: 17.0705 c. M:-24.3684 c. 20: 3 3 2 4 3 3 2 P T3 SD: 10.2093 c. M: 22.2500 c. 25: 4 3 3 5 4 4 2 N SD: 12.7318 c. M: 19.3200 c. 27: 4 4 3 5 5 3 3 P SD: 8.8369 c. M: 20.2222 c. 29: 4 5 3 5 5 4 3 SP SD: 10.8577 c. M:-16.5172 c. 30: 4 5 3 6 5 4 3 P SD: 8.4900 c. M: 16.5333 c. 32: 5 5 3 6 6 4 3 P SD: 10.1045 c. M:-19.0625 c. 33: 5 5 3 6 6 5 3 N SD: 10.0352 c. M: 17.0303 c. 34: 5 5 4 6 6 5 3 P SD: 4.9099 c. M:-9.2941 c. 47: 7 7 5 9 8 7 4 N SD: 4.9541 c. M:-10.4894 c. 53: 8 8 5 10 10 7 5 N SD: 5.5184 c. M: 9.0566 c. 54: 8 8 6 10 10 7 5 P SD: 4.4787 c. M:-10.5556 c. 56: 8 9 6 10 10 8 5 P SD: 5.3272 c. M:-8.5179 c. 57: 8 9 6 11 10 8 5 N SD: 5.3034 c. M: 8.2456 c. 60: 9 9 6 11 11 8 6 P SD: 4.9557 c. M: 8.0833 c. 61: 9 9 7 11 11 8 6 SP SD: 3.4234 c. M:-7.0164 c. 74: 11 11 8 14 13 10 7 P SD: 2.3115 c. M:-5.2162 c. 87: 13 13 9 16 16 12 8 N SD: 2.6282 c. M: 4.6897 c. 95: 14 14 10 18 17 13 9 N SD: 1.9475 c. M: 4.6000 c. 104: 15 16 11 19 19 14 10 P SD: 2.4718 c. M: 4.2981 c. 107: 16 16 11 20 19 15 10 N SD: 2.2168 c. M:-3.1963 c. 108: 16 16 12 20 19 15 10 P SD: 2.0401 c. M:-4.1481 c. 117: 17 18 12 22 21 16 11 N SD: 1.8414 c. M:-3.2906 c. 129: 19 19 14 24 23 18 12 N SD: 1.2441 c. M: 2.1085 c. 151: 22 23 16 28 27 21 14 N SD: 1.2655 c. M:-1.9536 c. 156: 23 23 17 29 28 21 15 P SD: 1.2024 c. M: 2.5577 c. 161: 24 24 17 30 29 22 15 N SD: 1.3166 c. M:-2.0994 c. 168: 25 25 18 31 30 23 16 P SD: 1.2502 c. M:-1.7440 c. 169: 25 25 18 32 30 23 16 N SD: 1.0871 c. M:-1.8166 c. 183: 27 27 20 34 33 25 17 N SD: 1.0771 c. M:-1.9508 c. 190: 28 28 21 35 34 26 18 P SD: 1.0691 c. M: 1.9158 c. 195: 29 29 21 36 35 27 18 N SD: 1.2438 c. M:-1.9846 c. 203: 30 30 22 38 36 28 19 N SD: 0.6366 c. M:-1.1281 c. 290: 43 43 31 54 52 40 27 N SD: 0.6617 c. M:-1.1138 c. 307: 45 46 33 57 55 42 29 N SD: 0.4827 c. M: 0.8893 c. 354: 52 53 38 66 63 49 33 N SD: 0.4737 c. M:-0.9068 c. 381: 56 57 41 71 68 52 36 N SD: 0.3717 c. M: 0.5906 c. 510: 75 76 55 95 91 70 48 N SD: 0.2078 c. M: 0.3314 c. 671: 99 100 72 125 120 92 63 N SD: 0.1580 c. M:-0.2519 c. 978: 144 146 105 182 175 134 92 N SD: 0.1321 c. M: 0.2342 c. 1181: 174 176 127 220 211 162 111 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 19.0000 cents 2 x x x 3 x x 4 S SD: 9.8177 cents 3 x x 4 x 5 x 6 S SD: 12.3054 cents 4 x 5 x 6:7 x 8 S SD: 18.3780 cents 5 x 6:7 x 8:9:10 S SD: 31.1869 cents 6 x 7:8:9:10:11:12 S SD: 15.5668 cents 7:8 x 9:10:12:13:14 S SD: 18.5168 cents 8:9:10:11:12:14:15:16 S SD: 15.7503 cents 9:10:11:12:13:15:17:18 SD: 11.1117 cents 10:11:12:13:15:17:19:20 SD: 9.0089 cents 16:18:20:21:24:27:30:32 S SD: 7.7930 cents 18:20:22:24:27:30:33:36 S SD: 6.2115 cents 19:21:23:25:28:32:35:38 SD: 5.6758 cents 22:24:27:29:33:37:41:44 SD: 4.6887 cents 26:29:32:34:39:44:48:51 SD: 4.0248 cents 28:31:34:37:42:47:52:55 SD: 3.2950 cents 35:39:43:46:52:59:65:69 SD: 2.9349 cents 36:40:44:47:54:61:67:71 SD: 2.9284 cents 40:44:49:53:60:68:74:79 SD: 2.6984 cents 41:45:50:54:61:69:76:81 SD: 2.6520 cents 44:49:54:58:66:74:82:87 SD: 2.5679 cents 45:50:55:59:67:76:83:89 SD: 2.5113 cents 48:53:59:63:72:81:89:95 SD: 1.6149 cents 57:63:70:75:85:96:106:113 SD: 1.5909 cents 67:74:82:88:100:113:124:133 SD: 1.4745 cents 75:83:92:99:112:127:139:148 SD: 1.2189 cents 85:94:104:112:127:144:158:168 SD: 0.8894 cents 103:114:126:136:154:174:191:204 SD: 0.7411 cents 133:147:163:175:199:225:247:263 SD: 0.5917 cents 139:154:170:183:208:235:258:275 SD: 0.5892 cents 151:167:185:199:226:255:280:299 SD: 0.4334 cents 228:252:279:300:341:385:423:451 SD: 0.3322 cents 236:261:289:311:353:399:438:467 SD: 0.2524 cents 303:335:371:399:453:512:562:599 SD: 0.2342 cents 312:345:382:411:467:527:579:617 SD: 0.2245 cents 331:366:405:436:495:559:614:655 SD: 0.1817 cents 406:449:497:535:607:686:753:803 SD: 0.1773 cents 416:460:509:548:622:703:772:823 SD: 0.1556 cents 464:513:568:611:694:784:861:918 SD: 0.0995 cents