Scala analysis: levy-08-bagesri
Ex. 8: Kishori Amonkar, Bāgeśrī
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 191.000 cents 191.000000 2: 296.000 cents 296.000000 3: 499.000 cents 499.000000 4: 893.000 cents 893.000000 5: 995.000 cents 995.000000 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 205.0000 cents 205.0000 1: 191.0000 cents 191.0000 2: 105.0000 cents 105.0000 3: 203.0000 cents 203.0000 4: 394.0000 cents 394.0000 5: 102.0000 cents 102.0000 6: 205.0000 cents 205.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 102.00000 cents 1: 1 105.00000 cents 1: 1 191.00000 cents 1: 1 203.00000 cents 1: 1 205.00000 cents 1: 1 394.00000 cents 2: 1 296.00000 cents 2: 1 307.00000 cents 2: 1 308.00000 cents 2: 1 396.00000 cents 2: 1 496.00000 cents 2: 1 597.00000 cents 3: 1 498.00000 cents 3: 1 499.00000 cents 3: 1 501.00000 cents 3: 1 699.00000 cents 3: 1 701.00000 cents 3: 1 702.00000 cents 4: 1 603.00000 cents 4: 1 704.00000 cents 4: 1 804.00000 cents 4: 1 892.00000 cents 4: 1 893.00000 cents 4: 1 904.00000 cents 5: 1 806.00000 cents 5: 1 995.00000 cents 5: 1 997.00000 cents 5: 1 1009.00000 cents 5: 1 1095.00000 cents 5: 1 1098.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 191.0 296.0 499.0 893.0 995.0 1200.0 191.0 : 105.0 308.0 702.0 804.0 1009.0 1200.0 296.0 : 203.0 597.0 699.0 904.0 1095.0 1200.0 499.0 : 394.0 496.0 701.0 892.0 997.0 1200.0 893.0 : 102.0 307.0 498.0 603.0 806.0 1200.0 995.0 : 205.0 396.0 501.0 704.0 1098.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 102.0000 .. 394.0000 cents 292.00000 cents 102.00000 cents 2: 296.0000 .. 597.0000 cents 301.00000 cents -98.00000 cents 3: 498.0000 .. 702.0000 cents 204.00000 cents -99.00000 cents 4: 603.0000 .. 904.0000 cents 301.00000 cents -99.00000 cents 5: 806.0000 .. 1098.0000 cents 292.00000 cents -98.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 102.00000 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 394.00000 cents Average / Smallest step : 1.960784 Largest / Average step : 1.970000 Largest / Smallest step : 3.862745 Median interval of one step : 197.00000 cents, amount: 0 Least squares average step : 198.09890 cents, oct.: 1188.59341 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 191 296 499 893 995 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 863 of 863.000 cents and inv. generated superset size: 355 = 349 more = 5916.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : CBDFAE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.00000 cents Scale diversity : 1.456056 Lumma stability : 0.170000 Lumma impropriety factor : 0.328333 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 4, average 701.5000 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 2 1 1 N T3 SD: 68.0343 c. M: 99.0000 c. 7: 1 1 1 2 1 1 P M ME SD: 29.5101 c. M:-46.8571 c. 11: 2 1 2 3 1 2 P D3 SD: 27.2629 c. M:-46.4545 c. 12: 2 1 2 4 1 2 N SD: 5.3541 c. M:-9.0000 c. Raga Bagesri, Sriranjani, Kapijingla, Jayamanohari 46: 7 4 8 15 4 8 N SD: 5.9664 c. M: 9.0435 c. 52: 8 5 9 17 4 9 N SD: 5.6061 c. M:-8.6923 c. 57: 9 5 10 18 5 10 N SD: 5.0158 c. M: 8.7895 c. 58: 9 5 10 19 5 10 N SD: 3.7419 c. M: 6.3448 c. 69: 11 6 12 22 6 12 N SD: 3.6285 c. M: 6.0435 c. 70: 11 6 12 23 6 12 N SD: 2.3532 c. M: 4.5714 c. 82: 13 7 14 27 7 14 N SD: 1.5144 c. M: 3.3171 c. 89: 14 8 15 29 8 15 N SD: 1.9440 c. M: 3.1124 c. 94: 15 8 16 31 8 16 N SD: 1.1637 c. M: 2.3830 c. 106: 17 9 18 35 9 18 N SD: 1.2215 c. M: 1.6604 c. 171: 27 15 29 56 15 29 N SD: 1.2818 c. M: 1.7719 c. 175: 28 15 30 57 15 30 N SD: 1.1369 c. M:-1.5714 c. 183: 29 16 31 60 16 31 N SD: 1.0284 c. M:-1.7213 c. 187: 30 16 32 61 16 32 N SD: 1.0385 c. M:-1.5348 c. 195: 31 17 33 64 17 33 N SD: 0.9036 c. M:-1.9231 c. 207: 33 18 35 68 18 35 N SD: 0.9030 c. M:-2.1014 c. 227: 36 20 38 75 19 39 N SD: 1.0278 c. M: 2.0837 c. 238: 38 21 40 78 20 41 N SD: 0.9877 c. M: 1.7227 c. 239: 38 21 40 79 20 41 N SD: 0.9199 c. M: 1.9289 c. 247: 39 22 42 81 21 42 N SD: 1.0161 c. M: 1.5263 c. 250: 40 22 42 82 21 43 N SD: 0.9661 c. M:-1.6000 c. 251: 40 22 42 83 21 43 N SD: 0.8953 c. M: 1.7888 c. 258: 41 23 43 85 22 44 N SD: 0.8920 c. M:-1.6744 c. 259: 41 23 44 85 22 44 N SD: 1.0028 c. M:-1.3861 c. 263: 42 23 44 87 22 45 N SD: 0.9384 c. M: 1.6616 c. 269: 43 23 46 88 23 46 N SD: 0.8413 c. M: 1.5762 c. 281: 45 24 48 92 24 48 N SD: 0.7959 c. M: 1.3381 c. 288: 46 25 49 94 25 49 N SD: 0.8108 c. M: 1.3333 c. 296: 47 26 50 97 25 51 N SD: 0.8805 c. M: 1.7568 c. 300: 48 26 51 98 26 51 N SD: 0.8165 c. M:-1.0000 c. 308: 49 27 52 101 26 53 N SD: 0.7031 c. M: 1.4935 c. 320: 51 28 54 105 27 55 N SD: 0.5774 c. M: 1.2500 c. 332: 53 29 56 109 28 57 N SD: 0.5184 c. M: 1.0241 c. 341: 54 30 58 112 29 58 N SD: 0.7199 c. M: 0.9707 c. 344: 55 30 58 113 29 59 N SD: 0.5310 c. M:-0.8605 c. 382: 61 33 65 125 33 65 N SD: 0.6467 c. M: 0.8534 c. 390: 62 34 66 128 33 67 N SD: 0.6497 c. M: 1.1538 c. 397: 63 35 67 130 34 68 N SD: 0.6402 c. M: 1.3123 c. 402: 64 35 68 132 34 69 N SD: 0.5209 c. M: 0.9701 c. 409: 65 36 69 134 35 70 N SD: 0.5050 c. M: 1.0685 c. 414: 66 36 70 136 35 71 N SD: 0.4304 c. M: 0.7971 c. 421: 67 37 71 138 36 72 N SD: 0.4043 c. M: 0.8385 c. 426: 68 37 72 140 36 73 N SD: 0.3922 c. M: 0.6338 c. 433: 69 38 73 142 37 74 N SD: 0.3544 c. M: 0.6212 c. 503: 80 44 85 165 43 86 N SD: 0.3655 c. M: 0.7535 c. 515: 82 45 87 169 44 88 N SD: 0.2799 c. M: 0.5728 c. 527: 84 46 89 173 45 90 N SD: 0.2403 c. M: 0.4004 c. 661: 105 58 112 217 56 113 N SD: 0.2115 c. M: 0.3797 c. 673: 107 59 114 221 57 115 N SD: 0.1881 c. M:-0.3135 c. 685: 109 60 116 225 58 117 N SD: 0.2105 c. M:-0.4307 c. 767: 122 67 130 252 65 131 N SD: 0.2001 c. M:-0.3507 c. 868: 138 76 147 285 74 148 N SD: 0.1983 c. M:-0.3917 c. 993: 158 87 168 326 84 170 N SD: 0.1882 c. M: 0.4381 c. 1005: 160 88 170 330 85 172 N SD: 0.1753 c. M: 0.3731 c. 1013: 161 89 171 333 86 173 N SD: 0.1917 c. M: 0.2833 c. 1017: 162 89 172 334 86 174 N SD: 0.1851 c. M: 0.3097 c. 1025: 163 90 173 337 87 175 N SD: 0.1941 c. M: 0.2683 c. 1063: 169 93 180 349 90 182 N SD: 0.2291 c. M: 0.4563 c. 1067: 170 93 181 350 91 182 N SD: 0.2241 c. M:-0.3440 c. 1070: 170 94 181 351 91 183 N SD: 0.2113 c. M: 0.3458 c. 1075: 171 94 182 353 91 184 N SD: 0.1851 c. M: 0.3953 c. 1082: 172 95 183 355 92 185 N SD: 0.1596 c. M: 0.2421 c. 1087: 173 95 184 357 92 186 N SD: 0.1542 c. M: 0.3358 c. 1094: 174 96 185 359 93 187 N SD: 0.1184 c. M:-0.1609 c. 1106: 176 97 187 363 94 189 N SD: 0.0989 c. M:-0.2025 c. 1118: 178 98 189 367 95 191 N SD: 0.1111 c. M:-0.2433 c. 1176: 187 103 199 386 100 201 N SD: 0.1093 c. M: 0.1837 c. 1188: 189 104 201 390 101 203 N SD: 0.0541 c. M: 0.0909 c. 1200: 191 105 203 394 102 205 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 95.5225 cents 3 x x 4:5 x 6 S SD: 2.8980 cents 4 x 5 x x 7:8 SD: 31.3433 cents 5 x 6:7:8:9:10 S SD: 23.8003 cents 6 x 7:8:10:11:12 S SD: 12.4570 cents 7:8 x 9:12 x 14 S SD: 21.3740 cents 8:9:10:11:13:14:16 SD: 20.0685 cents 9:10:11:12:15:16:18 S SD: 8.8088 cents 13 x 15:17:22:23:26 SD: 12.4792 cents 14:16:17:19:23:25:28 SD: 12.1436 cents 15:17:18:20:25:27:30 SD: 6.7325 cents 18:20:21:24:30:32:36 S SD: 5.2683 cents 26:29:31:35:44:46:52 SD: 4.3749 cents 27:30:32:36:45:48:54 S SD: 2.0693 cents 53:59:63:71:89:94:106 SD: 1.8161 cents 59:66:70:79:99:105:118 SD: 1.3746 cents 75:84:89:100:126:133:150 SD: 1.3448 cents 86:96:102:115:144:153:172 SD: 0.8016 cents 102:114:121:136:171:181:204 SD: 0.5295 cents 129:144:153:172:216:229:258 SD: 0.3336 cents 188:210:223:251:315:334:376 SD: 0.2707 cents 215:240:255:287:360:382:430 SD: 0.2460 cents 317:354:376:423:531:563:634 SD: 0.1509 cents 461:515:547:615:772:819:922 SD: 0.1464 cents 515:575:611:687:863:915:1030 SD: 0.1315 cents 542:605:643:723:908:963:1084 SD: 0.1220 cents