Scala analysis: India_Rajah_Ram_Pal_Singh_05
Rajah Ram Pal Singh 5 (Sitar), India
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 90.000 cents 90.000000 2: 366.000 cents 366.000000 3: 493.000 cents 493.000000 4: 707.000 cents 707.000000 5: 781.000 cents 781.000000 6: 1080.000 cents 1080.000000 7: 1087.000 cents 1087.000000
SHOW/INTERVAL
0: 7.0000 cents 7.0000 1: 90.0000 cents 90.0000 2: 276.0000 cents 276.0000 3: 127.0000 cents 127.0000 4: 214.0000 cents 214.0000 5: 74.0000 cents 74.0000 6: 299.0000 cents 299.0000 7: 7.0000 cents 7.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 7.00000 cents 1: 1 74.00000 cents 1: 1 90.00000 cents 1: 1 127.00000 cents 1: 1 214.00000 cents 1: 1 276.00000 cents 1: 1 299.00000 cents 2: 1 97.00000 cents 2: 1 288.00000 cents 2: 1 306.00000 cents 2: 1 341.00000 cents 2: 1 366.00000 cents 2: 1 373.00000 cents 2: 1 403.00000 cents 3: 1 373.00000 cents 3: 1 380.00000 cents 3: 1 396.00000 cents 3: 1 415.00000 cents 3: 1 493.00000 cents 3: 1 587.00000 cents 3: 1 617.00000 cents 4: 1 470.00000 cents 4: 1 500.00000 cents 4: 1 594.00000 cents 4: 1 672.00000 cents 4: 1 691.00000 cents 4: 1 707.00000 cents 4: 1 714.00000 cents 5: 1 684.00000 cents 5: 1 714.00000 cents 5: 1 721.00000 cents 5: 1 746.00000 cents 5: 1 781.00000 cents 5: 1 799.00000 cents 5: 1 990.00000 cents 6: 1 788.00000 cents 6: 1 811.00000 cents 6: 1 873.00000 cents 6: 1 960.00000 cents 6: 1 997.00000 cents 6: 1 1013.00000 cents 6: 1 1080.00000 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 : 90.0 366.0 493.0 707.0 781.0 1080.0 1087.0 90.0 : 276.0 403.0 617.0 691.0 990.0 997.0 1087.0 366.0 : 127.0 341.0 415.0 714.0 721.0 811.0 1087.0 493.0 : 214.0 288.0 587.0 594.0 684.0 960.0 1087.0 707.0 : 74.0 373.0 380.0 470.0 746.0 873.0 1087.0 781.0 : 299.0 306.0 396.0 672.0 799.0 1013.0 1087.0 1080.0: 7.0 97.0 373.0 500.0 714.0 788.0 1087.0 1087.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 7.0000 .. 299.0000 cents 292.00000 cents 7.00000 cents 2: 97.0000 .. 403.0000 cents 306.00000 cents -202.00000 cents 3: 373.0000 .. 617.0000 cents 244.00000 cents -30.00000 cents 4: 470.0000 .. 714.0000 cents 244.00000 cents -147.00000 cents 5: 684.0000 .. 990.0000 cents 306.00000 cents -30.00000 cents 6: 788.0000 .. 1080.0000 cents 292.00000 cents -202.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 7.00000 cents, class 1 Average step (divided formal octave): 155.2857 cents Largest one step interval : 299.00000 cents Average / Smallest step : 22.183673 Largest / Average step : 1.925483 Largest / Smallest step : 42.714286 Median interval of one step : 127.00000 cents, amount: 1 Least squares average step : 165.16429 cents, oct.: 1156.15000 cents Scale is not proper Scale is a mode of a 1087-tone equal temperament with octave 1087.000 cents degrees: 90 366 493 707 781 1080 1087 Least number of segments generator : 544 of 544.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1011 of 1011.000 cents and inv. generated superset size: 221 = 214 more = 3157.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : CFDEBGA Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 1.501980 Lumma stability : 0.012879 Lumma impropriety factor : 0.562098 Rothenberg efficiency : 0.299320 redundancy: 0.700680 Efficiency x scale size : 2.095238 Number of different interval sizes : 40 = 6.66667 / 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 : 7.00000 cents Most common intervals : 373.00000 cents & inv., amount: 2 Most common triad is 0.0 373.000 714.000 cents, amount: 1 Number of recognisable fifths : 4, average 706.5000 cents Number of recognisable fourths : 2, average 496.5000 cents Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 2 = 28.5714% -- Rational properties --
FIT/MODE
7: 1 1 1 2 0 2 0 N T3 SD: 43.0307 c. M:-69.4286 c. 8: 1 2 1 1 1 2 0 N D3 SD: 34.5845 c. M:-50.5000 c. 9: 1 2 1 2 0 3 0 N SD: 25.6155 c. M: 56.3333 c. 11: 1 3 1 2 1 3 0 N SD: 13.6759 c. M:-29.2727 c. 14: 1 4 1 3 1 4 0 N SD: 14.7371 c. M: 27.1429 c. 15: 1 4 2 3 1 4 0 N SD: 12.7939 c. M:-17.6667 c. 20: 2 5 2 4 1 6 0 N SD: 12.1098 c. M: 20.1000 c. 21: 2 5 3 4 1 6 0 N SD: 13.0079 c. M:-24.6190 c. 22: 2 5 3 4 2 6 0 N SD: 11.0699 c. M: 20.1364 c. 24: 2 6 3 5 1 7 0 N SD: 8.6515 c. M:-17.6667 c. 26: 2 7 3 5 2 7 0 N SD: 8.1312 c. M:-13.3462 c. 29: 2 8 3 6 2 8 0 N SD: 8.0192 c. M: 15.0345 c. 32: 3 8 4 6 2 9 0 N SD: 8.9680 c. M:-16.5313 c. 33: 3 8 4 6 3 9 0 N SD: 8.1571 c. M: 15.2727 c. 35: 3 9 4 7 2 10 0 N SD: 5.2573 c. M:-7.3143 c. 51: 4 13 6 10 4 14 0 N SD: 4.8387 c. M:-7.6078 c. 57: 5 14 7 11 4 16 0 N SD: 3.8134 c. M:-7.0000 c. 60: 5 15 7 12 4 17 0 N SD: 3.4173 c. M:-7.0000 c. 71: 6 18 8 14 5 20 0 N SD: 3.1986 c. M:-7.0000 c. 83: 7 21 10 16 6 23 0 N SD: 3.7216 c. M:-7.0000 c. 85: 7 22 10 16 6 23 1 N SD: 3.8628 c. M: 5.7882 c. 86: 7 22 10 17 6 23 1 N SD: 2.4529 c. M: 5.6395 c. 89: 7 23 10 18 6 24 1 N SD: 3.1598 c. M: 5.2135 c. 92: 8 23 11 18 6 25 1 N SD: 2.9103 c. M: 4.8152 c. 95: 8 24 11 19 6 26 1 N SD: 2.3155 c. M: 4.4421 c. 97: 8 25 11 19 7 26 1 N SD: 2.5382 c. M: 4.2062 c. 99: 8 25 12 19 7 27 1 N SD: 2.8191 c. M: 4.2929 c. 100: 8 26 11 20 7 27 1 N SD: 2.7967 c. M: 3.8700 c. 104: 9 26 12 21 7 28 1 N SD: 2.7745 c. M:-4.0673 c. 106: 9 27 12 21 7 29 1 N SD: 2.0536 c. M: 3.2547 c. 117: 10 29 14 23 8 32 1 N SD: 2.0241 c. M: 3.6667 c. 121: 10 31 14 24 8 33 1 N SD: 1.6089 c. M:-2.6942 c. 131: 11 33 15 26 9 36 1 N SD: 1.6828 c. M: 3.4351 c. 132: 11 33 16 26 9 36 1 N SD: 1.6755 c. M: 3.6667 c. 134: 11 34 16 26 9 37 1 N SD: 1.3505 c. M: 2.2537 c. 143: 12 36 17 28 10 39 1 N SD: 1.0757 c. M:-1.9441 c. 146: 12 37 17 29 10 40 1 N SD: 0.8695 c. M: 1.6164 c. 157: 13 40 18 31 11 43 1 N SD: 0.8811 c. M: 1.4268 c. 181: 15 46 21 36 12 50 1 N SD: 0.7762 c. M:-1.6519 c. 264: 22 67 31 52 18 72 2 N SD: 0.9568 c. M:-1.3106 c. 267: 22 68 31 53 18 73 2 N SD: 0.7708 c. M:-1.3820 c. 274: 23 69 32 54 19 75 2 N SD: 0.8956 c. M:-1.2445 c. 277: 23 70 33 54 19 76 2 N SD: 0.7937 c. M:-1.4477 c. 280: 23 71 33 55 19 77 2 N SD: 0.6471 c. M: 1.0786 c. 291: 24 74 34 57 20 80 2 N SD: 0.4577 c. M: 1.0103 c. 317: 26 81 37 62 22 87 2 N SD: 0.6778 c. M:-0.9054 c. 324: 27 82 38 64 22 89 2 N SD: 0.5126 c. M:-0.8920 c. 326: 27 83 38 64 22 90 2 N SD: 0.4698 c. M:-0.7791 c. 434: 36 110 51 85 30 119 3 N SD: 0.4221 c. M: 0.7005 c. 437: 36 111 51 86 30 120 3 N SD: 0.3993 c. M: 0.5744 c. 458: 38 116 54 90 31 126 3 N SD: 0.3448 c. M:-0.6594 c. 461: 38 117 54 91 31 127 3 N SD: 0.3580 c. M: 0.5293 c. 469: 39 119 55 92 32 129 3 N SD: 0.3061 c. M:-0.6695 c. 472: 39 120 55 93 32 130 3 N SD: 0.1630 c. M: 0.2945 c. 615: 51 156 72 121 42 169 4 N SD: 0.1251 c. M:-0.2260 c. 1087: 90 276 127 214 74 299 7 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 113.0000 cents 2 x x x 3 x x 4 S SD: 56.5563 cents 3 x x 4 x 5 x 6 S SD: 51.0745 cents 4 x 5 x 6 x 7 x S SD: 37.7091 cents 5 x 6:7 x 8:9 x S SD: 31.1358 cents 6 x 7:8:9 x 11 x SD: 26.0001 cents 7 x x 9 x 11:13 x SD: 19.5088 cents 8:9:10:11:12:13 x 15 SD: 23.7812 cents 9:10:11:12 x 14 x 17 SD: 19.3551 cents 10:11:12:13:15:16 x 19 SD: 17.7525 cents 11:12:14:15 x 17 x 21 SD: 20.0640 cents 12:13:15:16:18:19:22 x SD: 10.5058 cents 13:14:16:17 x 20:24 x SD: 12.5071 cents 14:15:17:19:21:22:26 x SD: 9.3233 cents 15:16:19:20:23:24:28 x SD: 11.2124 cents 16:17:20:21:24:25 x 30 SD: 5.8385 cents 17:18:21:23:26:27 x 32 SD: 7.9529 cents 18:19:22:24:27:28 x 34 SD: 4.9033 cents 20:21:25:27:30:31:37 x SD: 7.2535 cents 21:22:26:28:32:33:39 x SD: 4.3901 cents 22:23:27:29:33:35:41 x SD: 5.4517 cents 23:24:28:31:35:36:43 x SD: 7.2886 cents 24:25:30:32:36:38 x 45 SD: 5.4023 cents 25:26:31:33:38:39 x 47 SD: 5.6783 cents 26:27:32:35:39:41 x 49 SD: 6.0154 cents 28:29:35:37:42:44:52 x SD: 6.4000 cents 29:31:36:39:44:46:54 x SD: 6.7865 cents 30:32:37:40:45:47:56 x SD: 3.8950 cents 31:33:38:41:47:49 x 58 SD: 5.0509 cents 32:34:40:43:48:50 x 60 SD: 5.4680 cents 33:35:41:44:50:52 x 62 SD: 3.6383 cents 34:36:42:45:51:53:63:64 SD: 3.3028 cents 36:38:44:48:54:57:67 x SD: 4.2252 cents 37:39:46:49:56:58:69 x SD: 2.8103 cents 38:40:47:51:57:60:71 x SD: 3.3320 cents 39:41:48:52:59:61 x 73 SD: 2.4723 cents 40:42:49:53:60:63 x 75 SD: 3.0541 cents 41:43:51:55:62:64 x 77 SD: 4.2102 cents 42:44:52:56:63:66:78:79 SD: 2.3527 cents 44:46:54:58:66:69:82 x SD: 3.9211 cents 45:47:56:60:68:71:84 x SD: 3.8469 cents 46:48:57:61:69:72:86 x SD: 3.2374 cents 47:50:58:62:71:74 x 88 SD: 3.9258 cents 48:51:59:64:72:75 x 90 SD: 3.4295 cents 49:52:61:65:74:77:91:92 SD: 3.1442 cents 51:54:63:68:77:80:95:96 SD: 2.1252 cents 52:55:64:69:78:82:97 x SD: 2.2766 cents 53:56:65:70:80:83:99 x SD: 3.2250 cents 54:57:67:72:81:85 x 101 SD: 2.0258 cents 55:58:68:73:83:86 x 103 SD: 1.6180 cents 56:59:69:74:84:88 x 105 SD: 2.1109 cents 58:61:72:77:87:91:108:109 SD: 1.7545 cents 60:63:74:80:90:94:112 x SD: 1.7040 cents 61:64:75:81:92:96:114 x SD: 2.1285 cents 62:65:77:82:93:97 x 116 SD: 2.8859 cents 63:66:78:84:95:99 x 118 SD: 2.0298 cents 67:71:83:89:101:105:125:126 SD: 2.0041 cents 68:72:84:90:102:107:127 x SD: 2.2489 cents 69:73:85:92:104:108:129 x SD: 2.0909 cents 70:74:86:93:105:110 x 131 SD: 2.1357 cents 71:75:88:94:107:111:132:133 SD: 2.0833 cents 72:76:89:96:108:113:134:135 SD: 1.3409 cents 73:77:90:97:110:115:136:137 SD: 1.2528 cents 76:80:94:101:114:119:142 x SD: 1.2743 cents 77:81:95:102:116:121 x 144 SD: 1.3767 cents 78:82:96:104:117:122 x 146 SD: 2.0522 cents 79:83:98:105:119:124:147:148 SD: 1.4329 cents 81:85:100:108:122:127:151:152 SD: 1.3557 cents 84:88:104:112:126:132:157 x SD: 2.1367 cents 85:90:105:113:128:133 x 159 SD: 1.8729 cents 86:91:106:114:129:135:160:161 SD: 1.7938 cents 88:93:109:117:132:138:164:165 SD: 1.3476 cents 89:94:110:118:134:140:166:167 SD: 1.1435 cents 92:97:114:122:138:144:172 x SD: 1.7765 cents 93:98:115:124:140:146 x 174 SD: 0.9979 cents 97:102:120:129:146:152:181:182 SD: 0.8227 cents 99:104:122:132:149:155:185 x SD: 1.6390 cents 100:105:124:133:150:157 x 187 SD: 1.7392 cents 101:106:125:134:152:159:188:189 SD: 1.4822 cents 103:108:127:137:155:162:192:193 SD: 1.3397 cents 105:111:130:140:158:165:196:197 SD: 1.3273 cents 107:113:132:142:161:168:200 x SD: 1.1024 cents 108:114:133:144:162:170 x 202 SD: 1.8476 cents 109:115:135:145:164:171:203:204 SD: 0.9598 cents 111:117:137:148:167:174:207:208 SD: 0.8861 cents 115:121:142:153:173:181:215 x SD: 0.9807 cents 119:125:147:158:179:187:222:223 SD: 0.7965 cents 123:130:152:164:185:193 x 230 SD: 1.4206 cents 124:131:153:165:187:195:231:232 SD: 1.2213 cents 125:132:154:166:188:196:233:234 SD: 1.0760 cents 127:134:157:169:191:199:237:238 SD: 0.7100 cents 133:140:164:177:200:209:248:249 SD: 0.6637 cents 149:157:184:198:224:234:278:279 SD: 0.2924 cents 246:259:304:327:370:386:459:461 SD: 0.2232 cents 319:336:394:424:480:501:595:598 SD: 0.2124 cents 395:416:488:525:594:620:737:740 SD: 0.1489 cents 561:591:693:746:844:881:1047:1051 SD: 0.0969 cents