Scala analysis: India_Rajah_Ram_Pal_Singh_04
Rajah Ram Pal Singh 4 (Sitar), India
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 111.000 cents 111.000000 2: 314.000 cents 314.000000 3: 534.000 cents 534.000000 4: 686.000 cents 686.000000 5: 828.000 cents 828.000000 6: 1017.000 cents 1017.000000 7: 1198.000 cents 1198.000000
SHOW/INTERVAL
0: 181.0000 cents 181.0000 1: 111.0000 cents 111.0000 2: 203.0000 cents 203.0000 3: 220.0000 cents 220.0000 4: 152.0000 cents 152.0000 5: 142.0000 cents 142.0000 6: 189.0000 cents 189.0000 7: 181.0000 cents 181.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 111.00000 cents 1: 1 142.00000 cents 1: 1 152.00000 cents 1: 1 181.00000 cents 1: 1 189.00000 cents 1: 1 203.00000 cents 1: 1 220.00000 cents 2: 1 292.00000 cents 2: 1 294.00000 cents 2: 1 314.00000 cents 2: 1 331.00000 cents 2: 1 370.00000 cents 2: 1 372.00000 cents 2: 1 423.00000 cents 3: 1 481.00000 cents 3: 1 483.00000 cents 3: 1 495.00000 cents 3: 1 512.00000 cents 3: 1 514.00000 cents 3: 1 534.00000 cents 3: 1 575.00000 cents 4: 1 623.00000 cents 4: 1 664.00000 cents 4: 1 684.00000 cents 4: 1 686.00000 cents 4: 1 703.00000 cents 4: 1 715.00000 cents 4: 1 717.00000 cents 5: 1 775.00000 cents 5: 1 826.00000 cents 5: 1 828.00000 cents 5: 1 867.00000 cents 5: 1 884.00000 cents 5: 1 904.00000 cents 5: 1 906.00000 cents 6: 1 978.00000 cents 6: 1 995.00000 cents 6: 1 1009.00000 cents 6: 1 1017.00000 cents 6: 1 1046.00000 cents 6: 1 1056.00000 cents 6: 1 1087.00000 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 : 111.0 314.0 534.0 686.0 828.0 1017.0 1198.0 111.0 : 203.0 423.0 575.0 717.0 906.0 1087.0 1198.0 314.0 : 220.0 372.0 514.0 703.0 884.0 995.0 1198.0 534.0 : 152.0 294.0 483.0 664.0 775.0 978.0 1198.0 686.0 : 142.0 331.0 512.0 623.0 826.0 1046.0 1198.0 828.0 : 189.0 370.0 481.0 684.0 904.0 1056.0 1198.0 1017.0: 181.0 292.0 495.0 715.0 867.0 1009.0 1198.0 1198.0
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: 292.0000 .. 423.0000 cents 131.00000 cents 72.00000 cents 3: 481.0000 .. 575.0000 cents 94.00000 cents 58.00000 cents 4: 623.0000 .. 717.0000 cents 94.00000 cents 48.00000 cents 5: 775.0000 .. 906.0000 cents 131.00000 cents 58.00000 cents 6: 978.0000 .. 1087.0000 cents 109.00000 cents 72.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 111.00000 cents, class 1 Average step (divided formal octave): 171.1429 cents Largest one step interval : 220.00000 cents Average / Smallest step : 1.541828 Largest / Average step : 1.285476 Largest / Smallest step : 1.981982 Median interval of one step : 181.00000 cents, amount: 1 Least squares average step : 169.37857 cents, oct.: 1185.65000 cents Scale is strictly proper Scale is a mode of a 1198-tone equal temperament with octave 1198.000 cents degrees: 111 314 534 686 828 1017 1198 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 861 of 861.000 cents and inv. generated superset size: 254 = 247 more = 3628.571% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : AFGCBED Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 48.00000 cents Scale diversity : 1.604888 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.442404 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 : 4, average 705.2500 cents Number of appreciable fifths : 1, average 703.0000 cents Number of recognisable fourths : 5, average 497.0000 cents Number of appreciable fourths : 1, average 495.0000 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: 28.5550 c. M:-60.1429 c. Lebeng 9: 1 1 2 1 1 2 1 P M ME S SD: 30.1089 c. M:-47.8889 c. 11: 1 2 2 1 2 1 2 P M ME S SD: 25.5367 c. M:-43.2727 c. Orgone-7 12: 1 2 2 2 1 2 2 P M ME S SD: 20.4307 c. M: 34.8333 c. G.Dorian, M.Phrygian, G.M.Hypoaeolian, Bhairavi That, Mela Hanumatodi, Raga Asavari (Asaveri), Bilashkhani Todi, Ghanta, Makam Kurd, Gregorian nr.3, In, Zokuso: Japan, Ousak: Greece, Major inverse 14: 1 3 2 2 2 2 2 P T3 SD: 19.7743 c. M:-28.2857 c. 16: 1 3 3 2 2 2 3 P T3 SD: 22.9349 c. M: 43.6250 c. 19: 2 3 3 3 2 3 3 SP M ME S SD: 13.6163 c. M: 29.5789 c. Nineteen-tone Phrygian 20: 2 3 4 2 3 3 3 SP D3 SD: 12.8850 c. M: 27.1000 c. 22: 2 4 4 3 2 4 3 P SD: 13.0584 c. M:-21.9091 c. Gandhaara Grama (Popley), Murchhana Matsarikrita 23: 2 4 4 3 3 3 4 SP T3 SD: 12.4029 c. M: 27.3478 c. 25: 2 4 5 3 3 4 4 SP SD: 14.6361 c. M: 26.4800 c. 26: 2 5 5 3 3 4 4 P SD: 10.8601 c. M:-18.9231 c. 29: 3 5 5 4 3 5 4 SP SD: 11.7385 c. M:-16.4828 c. 30: 3 5 5 4 4 4 5 SP T3 SD: 10.9547 c. M: 18.6667 c. 31: 3 5 6 4 3 5 5 SP SD: 9.3332 c. M: 16.4516 c. 32: 3 5 6 4 4 5 5 SP SD: 8.5685 c. M: 14.5000 c. 33: 3 6 6 4 4 5 5 SP SD: 6.9747 c. M:-12.7273 c. 40: 4 7 7 5 5 6 6 SP SD: 8.1445 c. M:-15.4500 c. 42: 4 7 8 5 5 7 6 SP SD: 4.9676 c. M:-9.8571 c. 45: 4 8 8 6 5 7 7 SP SD: 4.2569 c. M:-6.1778 c. 54: 5 9 10 7 6 9 8 SP SD: 3.3920 c. M: 7.1481 c. 65: 6 11 12 8 8 10 10 SP SD: 2.0780 c. M: 4.0615 c. 87: 8 15 16 11 10 14 13 SP SD: 2.0948 c. M:-3.0345 c. 107: 10 18 20 13 13 17 16 SP SD: 1.9192 c. M:-3.4206 c. 110: 10 19 20 14 13 17 17 SP SD: 1.8954 c. M: 4.1455 c. 119: 11 20 22 15 14 19 18 SP SD: 1.3203 c. M: 2.4874 c. 152: 14 26 28 19 18 24 23 SP SD: 0.9394 c. M:-1.9474 c. 171: 16 29 31 22 20 27 26 SP SD: 1.1073 c. M: 1.5556 c. 184: 17 31 34 23 22 29 28 SP SD: 1.2430 c. M: 2.3587 c. 191: 18 32 35 24 23 30 29 SP SD: 1.2369 c. M: 2.3246 c. 204: 19 34 38 26 24 32 31 SP SD: 1.2172 c. M: 2.7549 c. 206: 19 35 38 26 24 33 31 SP SD: 0.9784 c. M: 2.1942 c. 213: 20 36 39 27 25 34 32 SP SD: 0.9094 c. M:-1.4883 c. 260: 24 44 48 33 31 41 39 SP SD: 0.8262 c. M:-1.3846 c. 271: 25 46 50 34 32 43 41 SP SD: 0.7114 c. M: 1.3358 c. 272: 25 46 50 35 32 43 41 SP SD: 0.8405 c. M: 1.2868 c. 278: 26 47 51 35 33 44 42 SP SD: 0.6075 c. M:-1.0432 c. 337: 31 57 62 43 40 53 51 SP SD: 0.6295 c. M: 1.1691 c. 344: 32 58 63 44 41 54 52 SP SD: 0.6116 c. M: 1.1686 c. 370: 34 63 68 47 44 58 56 SP SD: 0.5297 c. M: 0.9135 c. 377: 35 64 69 48 45 59 57 SP SD: 0.5983 c. M:-1.3846 c. 379: 35 64 70 48 45 60 57 SP SD: 0.5381 c. M: 1.0660 c. 424: 39 72 78 54 50 67 64 SP SD: 0.4114 c. M: 0.8066 c. 431: 40 73 79 55 51 68 65 SP SD: 0.3074 c. M:-0.5568 c. 496: 46 84 91 63 59 78 75 SP SD: 0.2032 c. M:-0.4556 c. 550: 51 93 101 70 65 87 83 SP SD: 0.2358 c. M: 0.3455 c. 583: 54 99 107 74 69 92 88 SP SD: 0.2352 c. M:-0.3979 c. 615: 57 104 113 78 73 97 93 SP SD: 0.2229 c. M: 0.3772 c. 648: 60 110 119 82 77 102 98 SP SD: 0.2001 c. M:-0.2932 c. 702: 65 119 129 89 83 111 106 SP SD: 0.1435 c. M: 0.3219 c. 1027: 95 174 189 130 122 162 155 SP SD: 0.1844 c. M:-0.2590 c. 1046: 97 177 192 133 124 165 158 SP SD: 0.1365 c. M: 0.2830 c. 1079: 100 183 198 137 128 170 163 SP SD: 0.1456 c. M:-0.2743 c. 1111: 103 188 204 141 132 175 168 SP SD: 0.1640 c. M: 0.2376 c. 1133: 105 192 208 144 134 179 171 SP SD: 0.1192 c. M:-0.2330 c. 1198: 111 203 220 152 142 189 181 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 2.0000 cents 2 x x x 3 x x 4 S SD: 8.0399 cents 3 x x 4 x 5 x 6 S SD: 22.2937 cents 4 x 5 x 6 x 7:8 S SD: 22.0915 cents 5 x 6:7 x 8:9:10 S SD: 10.1299 cents 6 x 7:8:9:10:11:12 S SD: 14.9035 cents 7 x 8 x 10:11:13:14 SD: 25.7847 cents 8:9:10:11:12:13:14:16 S SD: 18.5702 cents 9:10:11:12:13:15:16:18 SD: 16.6375 cents 10:11:12:14:15:16:18:20 S SD: 10.8198 cents 11:12:13:15:16:18:20:22 SD: 9.6040 cents 14:15:17:19:21:23:25:28 SD: 6.4063 cents 16:17:19:22:24:26:29:32 SD: 4.9114 cents 25:27:30:34:37:40:45:50 SD: 3.9442 cents 29:31:35:39:43:47:52:58 SD: 3.8293 cents 30:32:36:41:45:48:54:60 SD: 3.2362 cents 31:33:37:42:46:50:56:62 SD: 1.9838 cents 45:48:54:61:67:73:81:90 SD: 1.8208 cents 59:63:71:80:88:95:106:118 SD: 1.7858 cents 60:64:72:82:89:97:108:120 SD: 1.2647 cents 75:80:90:102:111:121:135:150 SD: 1.1378 cents 80:85:96:109:119:129:144:160 SD: 0.9971 cents 91:97:109:124:135:147:164:182 SD: 0.8066 cents 105:112:126:143:156:169:189:210 SD: 0.7120 cents 121:129:145:165:180:195:218:242 SD: 0.6994 cents 136:145:163:185:202:219:245:272 SD: 0.6622 cents 150:160:180:204:223:242:270:300 SD: 0.4658 cents 210:224:252:286:312:339:378:420 SD: 0.4444 cents 241:257:289:328:358:389:434:481 SD: 0.3642 cents 271:289:325:369:403:437:488:541 SD: 0.3298 cents 302:322:362:411:449:487:543:603 SD: 0.2758 cents 346:369:415:471:514:558:623:691 SD: 0.2645 cents 362:386:434:493:538:584:651:723 SD: 0.1857 cents 393:419:471:535:584:634:707:785 SD: 0.1099 cents 543:579:651:739:807:876:977:1085 SD: 0.0911 cents