Scala analysis: addendaopt
Lesfip version of addenda, 10 cent error bars
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 177.336 cents 177.335670 2: 441.166 cents 441.165750 3: 616.474 cents 616.474200 4: 704.996 cents 704.995830 5: 882.331 cents 882.331500 6: 1091.310 cents 1091.309540 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 108.6905 cents 108.6905 1: 177.3357 cents 177.3357 2: 263.8301 cents 263.8301 3: 175.3085 cents 175.3085 4: 88.5216 cents 88.5216 5: 177.3357 cents 177.3357 6: 208.9780 cents 208.9780 7: 108.6905 cents 108.6905
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 88.52163 cents 1: 1 108.69046 cents 1: 1 175.30845 cents 1: 2 177.33567 cents 1: 1 208.97804 cents 1: 1 263.83008 cents 2: 1 263.83008 cents 2: 1 265.85730 cents 2: 1 286.02613 cents 2: 1 317.66850 cents 2: 1 386.31371 cents 2: 1 439.13853 cents 2: 1 441.16575 cents 3: 1 441.16575 cents 3: 1 474.83534 cents 3: 2 495.00417 cents 3: 1 527.66016 cents 3: 1 549.85621 cents 3: 1 616.47420 cents 4: 1 583.52580 cents 4: 1 650.14379 cents 4: 1 672.33984 cents 4: 2 704.99583 cents 4: 1 725.16466 cents 4: 1 758.83425 cents 5: 1 758.83425 cents 5: 1 760.86147 cents 5: 1 813.68629 cents 5: 1 882.33150 cents 5: 1 913.97387 cents 5: 1 934.14270 cents 5: 1 936.16992 cents 6: 1 936.16992 cents 6: 1 991.02196 cents 6: 2 1022.66433 cents 6: 1 1024.69155 cents 6: 1 1091.30954 cents 6: 1 1111.47837 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.33333 = 19/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 177.3 441.2 616.5 705.0 882.3 1091.3 1200.0 177.3 : 263.8 439.1 527.7 705.0 914.0 1022.7 1200.0 441.2 : 175.3 263.8 441.2 650.1 758.8 936.2 1200.0 616.5 : 88.5 265.9 474.8 583.5 760.9 1024.7 1200.0 705.0 : 177.3 386.3 495.0 672.3 936.2 1111.5 1200.0 882.3 : 209.0 317.7 495.0 758.8 934.1 1022.7 1200.0 1091.3: 108.7 286.0 549.9 725.2 813.7 991.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 88.5216 .. 263.8301 cents 175.30845 cents 88.52163 cents 2: 263.8301 .. 441.1657 cents 177.33567 cents 1/1, 0.0000 cents 3: 441.1657 .. 616.4742 cents 175.30845 cents 1/1, 0.0000 cents 4: 583.5258 .. 758.8343 cents 175.30845 cents -32.94840 cents 5: 758.8343 .. 936.1699 cents 177.33567 cents 1/1, 0.0000 cents 6: 936.1699 .. 1111.4784 cents 175.30845 cents 1/1, 0.0000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 88.52163 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 263.83008 cents Average / Smallest step : 1.936573 Largest / Average step : 1.539009 Largest / Smallest step : 2.980402 Median interval of one step : 177.33567 cents, amount: 2 Most common interval of one step : 177.33567 cents, amount: 2 Least squares average step : 179.20420 cents, oct.: 1254.42939 cents Scale is not proper Step pattern alph. order: ABCDAEF Step pattern size order : DFCADEB Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 1.626564 Lumma stability : 0.147536 Lumma impropriety factor : 0.027457 Rothenberg efficiency : 0.340136 redundancy: 0.659864 Efficiency x scale size : 2.380952 Number of different interval sizes : 34 = 5.66667 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 6.33333 = 19/3 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 2.02722 cents Number of recognisable fifths : 2, average 704.9958 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 59.8621 c. M: 102.1885 c. Lebeng 8: 1 2 1 1 1 1 1 P M ME S SD: 27.0996 c. M:-45.0042 c. 12: 2 2 2 1 2 2 1 P M ME S SD: 20.3271 c. M: 41.1657 c. G.Hypolydian, M.Lydian, G.M.Hypolocrian, Rut biscale ascending, Kalyan That (Yaman), Mela Mecakalyani, Raga Chandrakant, Malarani, Shuddh Kalyan, Ping, Kung, Gu: China 13: 2 3 2 1 2 2 1 N G T3 S SD: 25.0641 c. M:-40.7454 c. 14: 2 3 2 1 2 3 1 P T3 SD: 16.8991 c. M: 25.1886 c. 19: 3 4 3 1 3 3 2 N SD: 10.6623 c. M: 17.6253 c. 22: 3 5 3 2 3 4 2 P SD: 9.1908 c. M: 16.4742 c. 27: 4 6 4 2 4 5 2 N SD: 8.5897 c. M:-19.8016 c. 29: 4 7 4 2 4 5 3 N SD: 10.5105 c. M: 15.4475 c. 31: 5 6 5 2 5 5 3 N SD: 9.9559 c. M:-16.2127 c. 33: 5 7 5 2 5 6 3 N SD: 6.9375 c. M: 14.0867 c. 41: 6 9 6 3 6 7 4 N SD: 3.8932 c. M: 8.3827 c. 54: 8 12 8 4 8 9 5 N SD: 4.3134 c. M:-6.5574 c. 60: 9 13 9 4 9 11 5 N SD: 4.2562 c. M:-8.6905 c. 68: 10 15 10 5 10 12 6 N SD: 1.2419 c. M:-2.8081 c. 109: 16 24 16 8 16 19 10 N SD: 0.9809 c. M: 1.5976 c. 177: 26 39 26 13 26 31 16 N SD: 0.6098 c. M: 1.0645 c. 245: 36 54 36 18 36 43 22 N SD: 0.6598 c. M: 1.0091 c. 286: 42 63 42 21 42 50 26 N SD: 0.6908 c. M: 1.2126 c. 310: 46 68 45 23 46 54 28 N SD: 0.5226 c. M: 0.9903 c. 351: 52 77 51 26 52 61 32 N SD: 0.5986 c. M: 1.0896 c. 364: 54 80 53 27 54 63 33 N SD: 0.5958 c. M:-1.1850 c. 378: 56 83 55 28 56 66 34 N SD: 0.4199 c. M:-0.7540 c. 419: 62 92 61 31 62 73 38 N SD: 0.3533 c. M: 0.7224 c. 473: 70 104 69 35 70 82 43 N SD: 0.3114 c. M:-0.5438 c. 487: 72 107 71 36 72 85 44 N SD: 0.2425 c. M: 0.4578 c. 541: 80 119 79 40 80 94 49 N SD: 0.2557 c. M:-0.4781 c. 574: 85 126 84 42 85 100 52 N SD: 0.2468 c. M: 0.4662 c. 582: 86 128 85 43 86 101 53 N SD: 0.2381 c. M: 0.5879 c. 596: 88 131 87 44 88 104 54 N SD: 0.2683 c. M: 0.4523 c. 609: 90 134 89 45 90 106 55 N SD: 0.2884 c. M:-0.4271 c. 642: 95 141 94 47 95 112 58 N SD: 0.2294 c. M:-0.3482 c. 650: 96 143 95 48 96 113 59 N SD: 0.1518 c. M:-0.2349 c. 718: 106 158 105 53 106 125 65 N SD: 0.1679 c. M:-0.2966 c. 960: 142 211 140 71 142 167 87 N SD: 0.1289 c. M: 0.2242 c. 1028: 152 226 150 76 152 179 93 N SD: 0.1062 c. M:-0.1588 c. 1069: 158 235 156 79 158 186 97 N SD: 0.1068 c. M: 0.1973 c. 1137: 168 250 166 84 168 198 103 N SD: 0.0459 c. M: 0.1154 c. 1779: 263 391 260 131 263 310 161 N SD: 0.0636 c. M: 0.1054 c. 1787: 264 393 261 132 264 311 162 N SD: 0.0586 c. M:-0.0965 c. 2252: 333 495 329 166 333 392 204 N SD: 0.0571 c. M:-0.1066 c. 2320: 343 510 339 171 343 404 210 N SD: 0.0603 c. M:-0.0823 c. 2342: 346 515 342 173 346 408 212 N SD: 0.0461 c. M: 0.0780 c. 2361: 349 519 345 174 349 411 214 N SD: 0.0410 c. M: 0.0770 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 1.5204 cents 3 x 4 x x 5 x 6 S SD: 18.9718 cents 4 x 5 x 6:7 x 8 S SD: 25.6165 cents 5 x 6:7 x 8:9:10 S SD: 32.8972 cents 6:7:8 x 9:10:11:12 S SD: 19.0210 cents 7:8:9:10:11:12:13:14 H SD: 15.5885 cents 8:9:10:11:12:13:15:16 SD: 14.0889 cents 9:10:12:13:14:15:17:18 SD: 12.2525 cents 10:11:13:14:15:17:19:20 SD: 8.0800 cents 16:18:21:23:24:27:30:32 SD: 6.8435 cents 17:19:22:24:26:28:32:34 SD: 6.2721 cents 18:20:23:26:27:30:34:36 SD: 4.0955 cents 28:31:36:40:42:47:53:56 SD: 2.9732 cents 35:39:45:50:53:58:66:70 SD: 2.9477 cents 38:42:49:54:57:63:71:76 SD: 2.1506 cents 48:53:62:69:72:80:90:96 SD: 2.0152 cents 54:60:70:77:81:90:101:108 SD: 1.8250 cents 56:62:72:80:84:93:105:112 SD: 1.2383 cents 65:72:84:93:98:108:122:130 SD: 1.1748 cents 66:73:85:94:99:110:124:132 SD: 1.0055 cents 93:103:120:133:140:155:175:186 SD: 0.8150 cents 110:122:142:157:165:183:207:220 SD: 0.7260 cents 131:145:169:187:197:218:246:262 SD: 0.3175 cents 203:225:262:290:305:338:381:406 SD: 0.2815 cents 241:267:311:344:362:401:453:482 SD: 0.2476 cents 269:298:347:384:404:448:505:538 SD: 0.2202 cents 334:370:431:477:502:556:627:668 SD: 0.1708 cents 400:443:516:571:601:666:751:800 SD: 0.1537 cents 444:492:573:634:667:739:834:888 SD: 0.1166 cents 575:637:742:821:864:957:1080:1150 SD: 0.0690 cents