Scala analysis: levy-07-bagesri
Ex. 7: Niaz & Faiyaz Ahmed Khan, Bāgeśrī
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 194.000 cents 194.000000 2: 327.000 cents 327.000000 3: 492.000 cents 492.000000 4: 889.000 cents 889.000000 5: 993.000 cents 993.000000 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 207.0000 cents 207.0000 1: 194.0000 cents 194.0000 2: 133.0000 cents 133.0000 3: 165.0000 cents 165.0000 4: 397.0000 cents 397.0000 5: 104.0000 cents 104.0000 6: 207.0000 cents 207.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 104.00000 cents 1: 1 133.00000 cents 1: 1 165.00000 cents 1: 1 194.00000 cents 1: 1 207.00000 cents 1: 1 397.00000 cents 2: 1 298.00000 cents 2: 1 311.00000 cents 2: 1 327.00000 cents 2: 1 401.00000 cents 2: 1 501.00000 cents 2: 1 562.00000 cents 3: 1 492.00000 cents 3: 1 505.00000 cents 3: 1 534.00000 cents 3: 1 666.00000 cents 3: 1 695.00000 cents 3: 1 708.00000 cents 4: 1 638.00000 cents 4: 1 699.00000 cents 4: 1 799.00000 cents 4: 1 873.00000 cents 4: 1 889.00000 cents 4: 1 902.00000 cents 5: 1 803.00000 cents 5: 1 993.00000 cents 5: 1 1006.00000 cents 5: 1 1035.00000 cents 5: 1 1067.00000 cents 5: 1 1096.00000 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 : 194.0 327.0 492.0 889.0 993.0 1200.0 194.0 : 133.0 298.0 695.0 799.0 1006.0 1200.0 327.0 : 165.0 562.0 666.0 873.0 1067.0 1200.0 492.0 : 397.0 501.0 708.0 902.0 1035.0 1200.0 889.0 : 104.0 311.0 505.0 638.0 803.0 1200.0 993.0 : 207.0 401.0 534.0 699.0 1096.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 104.0000 .. 397.0000 cents 293.00000 cents 104.00000 cents 2: 298.0000 .. 562.0000 cents 264.00000 cents -99.00000 cents 3: 492.0000 .. 708.0000 cents 216.00000 cents -70.00000 cents 4: 638.0000 .. 902.0000 cents 264.00000 cents -70.00000 cents 5: 803.0000 .. 1096.0000 cents 293.00000 cents -99.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 104.00000 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 397.00000 cents Average / Smallest step : 1.923077 Largest / Average step : 1.985000 Largest / Smallest step : 3.817308 Median interval of one step : 179.50000 cents, amount: 0 Least squares average step : 198.29670 cents, oct.: 1189.78022 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 194 327 492 889 993 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 763 of 763.000 cents and inv. generated superset size: 282 = 276 more = 4700.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : DBCFAE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.00000 cents Scale diversity : 1.610308 Lumma stability : 0.173333 Lumma impropriety factor : 0.281667 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 : 4.00000 cents Number of recognisable fifths : 3, average 700.6667 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 2 1 1 N T3 SD: 73.7100 c. M: 127.0000 c. 7: 1 1 1 2 1 1 P M ME SD: 24.2823 c. M:-35.5714 c. 11: 2 1 2 3 1 2 P D3 SD: 25.2720 c. M:-53.4545 c. 12: 2 1 2 4 1 2 N SD: 12.9035 c. M: 27.0000 c. Raga Bagesri, Sriranjani, Kapijingla, Jayamanohari 18: 3 2 2 6 2 3 N SD: 14.5239 c. M: 25.3333 c. 19: 3 2 3 6 2 3 N SD: 10.4258 c. M:-17.5263 c. 24: 4 3 3 8 2 4 N SD: 11.5398 c. M:-23.0000 c. 27: 4 3 4 9 2 5 N SD: 11.2326 c. M: 16.2222 c. 29: 5 3 4 9 3 5 N SD: 10.0392 c. M: 20.0345 c. 30: 5 3 4 10 3 5 N SD: 7.7352 c. M: 12.0000 c. 34: 5 4 5 11 3 6 N SD: 8.8141 c. M: 17.5294 c. 36: 6 4 5 12 3 6 N SD: 7.1892 c. M:-11.0000 c. 39: 6 5 5 13 3 7 N SD: 7.0802 c. M:-11.4615 c. 41: 7 4 6 13 4 7 N SD: 7.0614 c. M: 10.9512 c. 42: 7 4 6 14 4 7 N SD: 7.0351 c. M: 12.7143 c. 44: 7 5 6 15 3 8 N SD: 6.5428 c. M: 11.1818 c. 47: 8 5 6 16 4 8 N SD: 5.8552 c. M:-10.2553 c. 51: 8 6 7 17 4 9 N SD: 3.9248 c. M: 5.7647 c. 63: 10 7 9 21 5 11 N SD: 3.6140 c. M:-6.2381 c. 66: 11 7 9 22 6 11 N SD: 3.8710 c. M:-7.0000 c. 69: 11 8 9 23 6 12 N SD: 2.9312 c. M: 5.0435 c. 76: 12 9 10 25 7 13 N SD: 3.5070 c. M: 4.7895 c. 80: 13 9 11 26 7 14 N SD: 2.7080 c. M: 4.0000 c. 81: 13 9 11 27 7 14 N SD: 1.4715 c. M: 3.1111 c. 88: 14 10 12 29 8 15 N SD: 1.9914 c. M: 3.0909 c. 100: 16 11 14 33 9 17 N SD: 1.9579 c. M: 3.0000 c. 117: 19 13 16 39 10 20 N SD: 1.6709 c. M:-3.3077 c. 144: 23 16 20 48 12 25 N SD: 1.7533 c. M:-2.6667 c. 147: 24 16 20 49 13 25 N SD: 1.7277 c. M:-2.9184 c. 151: 24 17 21 50 13 26 N SD: 1.5203 c. M: 3.2715 c. 161: 26 18 22 53 14 28 N SD: 1.1550 c. M: 2.0435 c. 173: 28 19 24 57 15 30 N SD: 0.7907 c. M: 1.1387 c. 254: 41 28 35 84 22 44 N SD: 0.7048 c. M: 1.0157 c. 278: 45 31 38 92 24 48 N SD: 0.4595 c. M:-1.0576 c. 290: 47 32 40 96 25 50 N SD: 0.3775 c. M:-0.6552 c. 359: 58 40 49 119 31 62 N SD: 0.3718 c. M: 0.6351 c. 371: 60 41 51 123 32 64 N SD: 0.2796 c. M:-0.4879 c. 463: 75 51 64 153 40 80 N SD: 0.3288 c. M:-0.4406 c. 532: 86 59 73 176 46 92 N SD: 0.2660 c. M: 0.5188 c. 551: 89 61 76 182 48 95 N SD: 0.2482 c. M: 0.4338 c. 632: 102 70 87 209 55 109 N SD: 0.2858 c. M: 0.4177 c. 649: 105 72 89 215 56 112 N SD: 0.2107 c. M:-0.3683 c. 668: 108 74 92 221 58 115 N SD: 0.2119 c. M:-0.4132 c. 737: 119 82 101 244 64 127 N SD: 0.2065 c. M: 0.2768 c. 749: 121 83 103 248 65 129 N SD: 0.1860 c. M:-0.3244 c. 822: 133 91 113 272 71 142 N SD: 0.1408 c. M: 0.2993 c. 829: 134 92 114 274 72 143 N SD: 0.1251 c. M: 0.2183 c. 910: 147 101 125 301 79 157 N SD: 0.1203 c. M: 0.2088 c. 1027: 166 114 141 340 89 177 N SD: 0.1332 c. M:-0.1918 c. 1119: 181 124 154 370 97 193 N SD: 0.1065 c. M:-0.2252 c. 1200: 194 133 165 397 104 207 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: 93.5225 cents 3 x x 4:5 x 6 S SD: 2.5404 cents 4 x 5 x x 7:8 SD: 21.3503 cents 5 x 6:7:8:9:10 S SD: 24.1649 cents 6 x 7:8:10:11:12 S SD: 16.5534 cents 7:8 x 9:12 x 14 S SD: 20.2619 cents 8:9:10:11:13:14:16 SD: 16.7240 cents 9:10:11:12:15:16:18 S SD: 4.1452 cents 24:27:29:32:40:43:48 SD: 3.4601 cents 33:37:40:44:55:59:66 SD: 2.7765 cents 34:38:41:45:57:60:68 SD: 2.2360 cents 43:48:52:57:72:76:86 SD: 1.6134 cents 49:55:59:65:82:87:98 SD: 1.4933 cents 58:65:70:77:97:103:116 SD: 0.7073 cents 67:75:81:89:112:119:134 SD: 0.4262 cents 177:198:214:235:296:314:354 SD: 0.4152 cents 222:248:268:295:371:394:444 SD: 0.4140 cents 235:263:284:312:393:417:470 SD: 0.3688 cents 261:292:315:347:436:463:522 SD: 0.3394 cents 270:302:326:359:451:479:540 SD: 0.2851 cents 280:313:338:372:468:497:560 SD: 0.2729 cents 289:323:349:384:483:513:578 SD: 0.2630 cents 328:367:396:436:548:582:656 SD: 0.2203 cents 337:377:407:448:563:598:674 SD: 0.1837 cents 380:425:459:505:635:674:760 SD: 0.1663 cents 395:442:477:525:660:701:790 SD: 0.1647 cents 404:452:488:537:675:717:808 SD: 0.1438 cents 438:490:529:582:732:777:876 SD: 0.1168 cents 447:500:540:594:747:793:894 SD: 0.1050 cents 505:565:610:671:844:896:1010 SD: 0.0869 cents