Scala analysis: addenda14
Lesfip version of addenda, 14 cent error bars
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 176.137 cents 176.137070 2: 443.615 cents 443.614700 3: 613.108 cents 613.107800 4: 711.092 cents 711.092340 5: 879.601 cents 879.601380 6: 1107.150 cents 1107.150120 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 92.8499 cents 92.8499 1: 176.1371 cents 176.1371 2: 267.4776 cents 267.4776 3: 169.4931 cents 169.4931 4: 97.9845 cents 97.9845 5: 168.5090 cents 168.5090 6: 227.5487 cents 227.5487 7: 92.8499 cents 92.8499
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 92.84988 cents 1: 1 97.98454 cents 1: 1 168.50904 cents 1: 1 169.49310 cents 1: 1 176.13707 cents 1: 1 227.54874 cents 1: 1 267.47763 cents 2: 1 266.49358 cents 2: 1 267.47764 cents 2: 1 268.98695 cents 2: 1 320.39862 cents 2: 1 396.05778 cents 2: 1 436.97073 cents 2: 1 443.61470 cents 3: 1 435.98668 cents 3: 1 488.90766 cents 3: 1 494.04232 cents 3: 1 496.53569 cents 3: 1 534.95527 cents 3: 1 536.46458 cents 3: 1 613.10780 cents 4: 1 586.89220 cents 4: 1 663.53542 cents 4: 1 665.04473 cents 4: 1 703.46431 cents 4: 1 705.95768 cents 4: 1 711.09234 cents 4: 1 764.01332 cents 5: 1 756.38530 cents 5: 1 763.02927 cents 5: 1 803.94222 cents 5: 1 879.60138 cents 5: 1 931.01305 cents 5: 1 932.52236 cents 5: 1 933.50642 cents 6: 1 932.52237 cents 6: 1 972.45126 cents 6: 1 1023.86293 cents 6: 1 1030.50690 cents 6: 1 1031.49096 cents 6: 1 1102.01546 cents 6: 1 1107.15012 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 : 176.1 443.6 613.1 711.1 879.6 1107.2 1200.0 176.1 : 267.5 437.0 535.0 703.5 931.0 1023.9 1200.0 443.6 : 169.5 267.5 436.0 663.5 756.4 932.5 1200.0 613.1 : 98.0 266.5 494.0 586.9 763.0 1030.5 1200.0 711.1 : 168.5 396.1 488.9 665.0 932.5 1102.0 1200.0 879.6 : 227.5 320.4 496.5 764.0 933.5 1031.5 1200.0 1107.2: 92.8 269.0 536.5 706.0 803.9 972.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 92.8499 .. 267.4776 cents 174.62775 cents 92.84988 cents 2: 266.4936 .. 443.6147 cents 177.12112 cents -0.98405 cents 3: 435.9867 .. 613.1078 cents 177.12112 cents -7.62802 cents 4: 586.8922 .. 764.0133 cents 177.12112 cents -26.21560 cents 5: 756.3853 .. 933.5064 cents 177.12112 cents -7.62802 cents 6: 932.5224 .. 1107.1501 cents 174.62775 cents -0.98405 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 92.84988 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 267.47763 cents Average / Smallest step : 1.846298 Largest / Average step : 1.560286 Largest / Smallest step : 2.880754 Median interval of one step : 169.49310 cents, amount: 1 Least squares average step : 179.91405 cents, oct.: 1259.39834 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : EGDBCFA Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 1.564582 Lumma stability : 0.154750 Lumma impropriety factor : 0.036200 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 : 0.98405 cents Most common intervals : 267.47763 cents & inv., amount: 2 Most common triad is 0.0 267.478 932.522 cents, amount: 1 Number of recognisable fifths : 3, average 706.8381 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: 62.4078 c. M: 100.7576 c. Lebeng 8: 1 2 1 1 1 1 1 P M ME S SD: 29.5001 c. M: 57.1501 c. 9: 1 2 2 0 2 1 1 N T3 SD: 43.2643 c. M:-53.7320 c. 10: 1 3 1 1 1 2 1 N T3 SD: 31.6946 c. M: 56.1371 c. 12: 2 2 2 1 2 2 1 P M ME S SD: 21.4934 c. M: 43.6147 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: 24.2742 c. M:-43.4755 c. 14: 2 3 2 1 2 3 1 P T3 SD: 15.2110 c. M: 25.3781 c. 22: 3 5 3 2 3 4 2 P SD: 9.9692 c. M: 16.2410 c. 25: 4 5 4 2 3 5 2 N SD: 10.9404 c. M:-15.8629 c. 27: 4 6 4 2 4 5 2 N SD: 5.1879 c. M:-9.2875 c. 41: 6 9 6 3 6 8 3 N SD: 4.2497 c. M: 8.6533 c. 49: 7 11 7 4 7 9 4 N SD: 2.9705 c. M: 5.1093 c. 76: 11 17 11 6 11 14 6 N SD: 2.4087 c. M:-4.6091 c. 90: 13 20 13 7 13 17 7 N SD: 2.4189 c. M: 4.4257 c. 94: 14 21 13 8 13 18 7 N SD: 2.5407 c. M:-3.8013 c. 108: 16 24 15 9 15 21 8 N SD: 1.9414 c. M:-3.9610 c. 116: 17 26 16 10 16 22 9 N SD: 1.5411 c. M: 2.7630 c. 143: 21 32 20 12 20 27 11 N SD: 1.1333 c. M:-2.1944 c. 157: 23 35 22 13 22 30 12 N SD: 0.8140 c. M: 1.6428 c. 184: 27 41 26 15 26 35 14 N SD: 0.6717 c. M:-1.5455 c. 206: 30 46 29 17 29 39 16 N SD: 0.8558 c. M: 1.4573 c. 233: 34 52 33 19 33 44 18 N SD: 0.6470 c. M:-1.0853 c. 319: 47 71 45 26 45 60 25 N SD: 0.5834 c. M: 1.1940 c. 333: 49 74 47 27 47 63 26 N SD: 0.6314 c. M: 1.1824 c. 341: 50 76 48 28 48 65 26 N SD: 0.6123 c. M:-1.3543 c. 349: 51 78 49 29 49 66 27 N SD: 0.6079 c. M: 1.0734 c. 360: 53 80 51 29 51 68 28 N SD: 0.5340 c. M: 1.0923 c. 366: 54 81 52 30 51 70 28 N SD: 0.7456 c. M:-1.0466 c. 374: 55 83 53 31 52 71 29 N SD: 0.6079 c. M:-1.2071 c. 376: 55 84 53 31 53 71 29 N SD: 0.5982 c. M:-1.2497 c. 387: 57 86 55 31 55 73 30 N SD: 0.6786 c. M:-1.0188 c. 390: 57 87 55 32 55 74 30 N SD: 0.5415 c. M: 0.8001 c. 415: 61 92 59 34 58 79 32 N SD: 0.5344 c. M: 1.2051 c. 427: 63 95 60 35 60 81 33 N SD: 0.4201 c. M:-0.9121 c. 454: 67 101 64 37 64 86 35 N SD: 0.4733 c. M:-0.9554 c. 476: 70 106 67 39 67 90 37 N SD: 0.3012 c. M: 0.5028 c. 633: 93 141 89 52 89 120 49 N SD: 0.3125 c. M: 0.7855 c. 660: 97 147 93 54 93 125 51 N SD: 0.2403 c. M:-0.3986 c. 722: 106 161 102 59 101 137 56 N SD: 0.2149 c. M: 0.3770 c. 749: 110 167 106 61 105 142 58 N SD: 0.2309 c. M:-0.5104 c. 763: 112 170 108 62 107 145 59 N SD: 0.2143 c. M: 0.4402 c. 812: 119 181 115 66 114 154 63 N SD: 0.2381 c. M: 0.2910 c. 879: 129 196 124 72 123 167 68 N SD: 0.1817 c. M: 0.4205 c. 906: 133 202 128 74 127 172 70 N SD: 0.1140 c. M:-0.1659 c. 955: 140 213 135 78 134 181 74 N SD: 0.1135 c. M: 0.2208 c. 1139: 167 254 161 93 160 216 88 N SD: 0.1080 c. M: 0.1933 c. 1382: 203 308 195 113 194 262 107 N SD: 0.0735 c. M:-0.1292 c. 1615: 237 360 228 132 227 306 125 N SD: 0.0724 c. M:-0.1509 c. 2018: 296 450 285 165 283 383 156 N SD: 0.0825 c. M: 0.1212 c. 2145: 315 478 303 175 301 407 166 N SD: 0.0732 c. M: 0.1608 c. 2194: 322 489 310 179 308 416 170 N SD: 0.0717 c. M: 0.1310 c. 2221: 326 495 314 181 312 421 172 N SD: 0.0633 c. M:-0.1295 c. 2288: 336 510 323 187 321 434 177 N SD: 0.0640 c. M:-0.0965 c. 2329: 342 519 329 190 327 442 180 N SD: 0.0634 c. M:-0.1062 c. 2337: 343 521 330 191 328 443 181 N SD: 0.0468 c. M: 0.0898 c. 2378: 349 530 336 194 334 451 184 N SD: 0.0380 c. M: 0.0747 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: 4.5687 cents 3 x 4 x x 5 x 6 S SD: 18.2126 cents 4 x 5 x 6:7 x 8 S SD: 26.6082 cents 5 x 6:7 x 8:9:10 S SD: 34.4546 cents 6:7:8 x 9:10:11:12 S SD: 20.1665 cents 7:8:9:10:11:12:13:14 H SD: 15.8698 cents 8:9:10:11:12:13:15:16 SD: 14.1706 cents 9:10:12:13:14:15:17:18 SD: 11.5277 cents 10:11:13:14:15:17:19:20 SD: 7.5544 cents 17:19:22:24:26:28:32:34 SD: 5.5878 cents 18:20:23:26:27:30:34:36 SD: 4.7508 cents 21:23:27:30:32:35:40:42 SD: 4.1919 cents 27:30:35:38:41:45:51:54 SD: 3.8816 cents 28:31:36:40:42:47:53:56 SD: 3.1078 cents 30:33:39:43:45:50:57:60 SD: 3.0694 cents 35:39:45:50:53:58:66:70 SD: 2.7789 cents 38:42:49:54:57:63:72:76 SD: 1.7271 cents 45:50:58:64:68:75:85:90 SD: 1.7004 cents 47:52:61:67:71:78:89:94 SD: 1.2908 cents 65:72:84:93:98:108:123:130 SD: 1.1048 cents 75:83:97:107:113:125:142:150 SD: 0.8634 cents 85:94:110:121:128:141:161:170 SD: 0.8222 cents 103:114:133:147:155:171:195:206 SD: 0.7795 cents 113:125:146:161:170:188:214:226 SD: 0.6966 cents 130:144:168:185:196:216:246:260 SD: 0.5621 cents 151:167:195:215:228:251:286:302 SD: 0.5158 cents 189:209:244:269:285:314:358:378 SD: 0.5017 cents 195:216:252:278:294:324:370:390 SD: 0.3193 cents 240:266:310:342:362:399:455:480 SD: 0.3021 cents 270:299:349:385:407:449:512:540 SD: 0.2766 cents 278:308:359:396:419:462:527:556 SD: 0.2738 cents 287:318:371:409:433:477:544:574 SD: 0.2697 cents 299:331:386:426:451:497:567:598 SD: 0.2461 cents 325:360:420:463:490:540:616:650 SD: 0.1801 cents 346:383:447:493:522:575:656:692 SD: 0.1446 cents 421:466:544:600:635:700:798:842 SD: 0.1272 cents 459:508:593:654:692:763:870:918 SD: 0.1044 cents