Scala analysis: Peru_Kero_02
K’ero 2 (Voice), Peru
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 235.000 cents 235.000000 2: 465.000 cents 465.000000 3: 525.000 cents 525.000000 4: 765.000 cents 765.000000 5: 930.000 cents 930.000000 6: 1215.000 cents 1215.000000
SHOW/INTERVAL
0: 285.0000 cents 285.0000 1: 235.0000 cents 235.0000 2: 230.0000 cents 230.0000 3: 60.0000 cents 60.0000 4: 240.0000 cents 240.0000 5: 165.0000 cents 165.0000 6: 285.0000 cents 285.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 60.00000 cents 1: 1 165.00000 cents 1: 1 230.00000 cents 1: 1 235.00000 cents 1: 1 240.00000 cents 1: 1 285.00000 cents 2: 1 290.00000 cents 2: 1 300.00000 cents 2: 1 405.00000 cents 2: 1 450.00000 cents 2: 1 465.00000 cents 2: 1 520.00000 cents 3: 1 465.00000 cents 3: 1 525.00000 cents 3: 1 530.00000 cents 3: 1 685.00000 cents 3: 1 690.00000 cents 3: 1 750.00000 cents 4: 1 695.00000 cents 4: 1 750.00000 cents 4: 1 765.00000 cents 4: 1 810.00000 cents 4: 1 915.00000 cents 4: 1 925.00000 cents 5: 1 930.00000 cents 5: 1 975.00000 cents 5: 1 980.00000 cents 5: 1 985.00000 cents 5: 1 1050.00000 cents 5: 1 1155.00000 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 : 235.0 465.0 525.0 765.0 930.0 1215.0 235.0 : 230.0 290.0 530.0 695.0 980.0 1215.0 465.0 : 60.0 300.0 465.0 750.0 985.0 1215.0 525.0 : 240.0 405.0 690.0 925.0 1155.0 1215.0 765.0 : 165.0 450.0 685.0 915.0 975.0 1215.0 930.0 : 285.0 520.0 750.0 810.0 1050.0 1215.0 1215.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 60.0000 .. 285.0000 cents 225.00000 cents 60.00000 cents 2: 290.0000 .. 520.0000 cents 230.00000 cents 5.00000 cents 3: 465.0000 .. 750.0000 cents 285.00000 cents -55.00000 cents 4: 695.0000 .. 925.0000 cents 230.00000 cents -55.00000 cents 5: 930.0000 .. 1155.0000 cents 225.00000 cents 5.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 60.00000 cents, class 1 Average step (divided formal octave): 202.5000 cents Largest one step interval : 285.00000 cents Average / Smallest step : 3.375000 Largest / Average step : 1.407407 Largest / Smallest step : 4.750000 Median interval of one step : 232.50000 cents, amount: 0 Least squares average step : 194.94505 cents, oct.: 1169.67033 cents Scale is not proper Scale is a mode of a 243-tone equal temperament with octave 1215.000 cents degrees: 47 93 105 153 186 243 Least number of segments generator : 122 of 610.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 146 of 730.000 cents and inv. generated superset size: 82 = 76 more = 1366.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : DCAEBF Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 1.497595 Lumma stability : 0.106996 Lumma impropriety factor : 0.090535 Rothenberg efficiency : 0.355556 redundancy: 0.644444 Efficiency x scale size : 2.133333 Number of different interval sizes : 28 = 5.60000 / 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 : 5.00000 cents Most common intervals : 465.00000 cents & inv., amount: 2 Most common triad is 0.0 465.000 750.000 cents, amount: 1 Number of recognisable fifths : 2, average 692.5000 cents Number of recognisable fourths : 0 Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
6: 1 1 0 1 1 2 N D3 SD: 98.5414 c. M: 157.5000 c. 7: 1 1 1 1 1 2 P M ME SD: 66.5136 c. M: 117.8571 c. 8: 1 2 0 2 1 2 P D3 SD: 45.0809 c. M: 83.1250 c. 9: 2 2 0 2 1 2 N SD: 39.4229 c. M:-75.0000 c. 10: 2 2 0 2 2 2 P M DE SD: 29.1147 c. M:-42.0000 c. 11: 2 2 1 2 1 3 N SD: 24.8203 c. M: 46.3636 c. 13: 3 2 1 2 2 3 N SD: 24.7163 c. M:-45.3846 c. 14: 3 2 1 3 2 3 P SD: 20.3811 c. M: 31.0714 c. 16: 3 3 1 3 2 4 N SD: 9.7110 c. M: 18.7500 c. 21: 4 4 1 4 3 5 N SD: 6.0469 c. M: 12.8571 c. 37: 7 7 2 7 5 9 N SD: 6.5838 c. M: 10.5405 c. 46: 9 9 2 9 6 11 N SD: 5.1412 c. M:-10.4348 c. 48: 9 9 3 9 7 11 N SD: 6.5488 c. M: 9.3750 c. 51: 10 10 2 10 7 12 N SD: 5.0101 c. M:-11.4706 c. 55: 11 10 3 11 7 13 N SD: 5.2240 c. M:-8.1818 c. 56: 11 10 3 11 8 13 N SD: 5.1637 c. M: 9.3750 c. 57: 11 11 3 11 8 13 N SD: 4.9349 c. M:-7.8947 c. 60: 12 11 3 12 8 14 N SD: 3.8582 c. M:-8.0000 c. 63: 12 12 3 13 8 15 N SD: 3.9877 c. M:-6.4286 c. 65: 13 12 3 13 9 15 N SD: 3.9823 c. M:-8.0000 c. 67: 13 13 3 13 9 16 N SD: 3.6811 c. M:-6.4925 c. 68: 13 13 3 14 9 16 N SD: 3.3187 c. M: 6.8382 c. 71: 14 13 4 14 9 17 N SD: 4.4829 c. M: 5.9155 c. 73: 14 14 4 14 10 17 N SD: 3.3517 c. M:-7.6027 c. 76: 15 14 4 15 10 18 N SD: 2.7326 c. M:-4.8026 c. 78: 15 15 4 15 11 18 N SD: 2.9647 c. M:-4.6154 c. 81: 16 15 4 16 11 19 N SD: 2.0412 c. M:-5.0000 c. 84: 16 16 4 17 11 20 N SD: 3.0731 c. M: 4.2857 c. 86: 17 16 4 17 12 20 N SD: 2.7003 c. M:-5.1744 c. 94: 18 18 5 18 13 22 N SD: 2.4558 c. M:-4.9468 c. 97: 19 18 5 19 13 23 N SD: 1.9548 c. M: 3.0928 c. 102: 20 19 5 20 14 24 N SD: 1.7901 c. M:-3.2353 c. 135: 26 26 6 27 18 32 N SD: 2.1602 c. M:-3.0000 c. 136: 26 26 7 27 18 32 N SD: 1.9881 c. M:-3.3088 c. 138: 27 26 7 27 19 32 N SD: 2.3190 c. M:-3.2609 c. 141: 27 27 7 28 19 33 N SD: 1.2949 c. M: 2.3404 c. 146: 28 28 7 29 20 34 N SD: 1.2987 c. M:-2.0548 c. 162: 31 31 8 32 22 38 N SD: 1.0206 c. M: 2.5000 c. 206: 40 39 10 41 28 48 N SD: 1.1825 c. M:-1.8932 c. 216: 42 41 10 43 29 51 N SD: 1.4206 c. M: 1.8750 c. 217: 42 41 11 43 29 51 N SD: 1.0355 c. M:-2.0737 c. 222: 43 42 11 44 30 52 N SD: 0.5720 c. M:-1.2162 c. 238: 46 45 12 47 32 56 N SD: 0.6117 c. M: 0.8824 c. 243: 47 46 12 48 33 57 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 15.0000 cents 2 x x x 3 x 4 S SD: 32.4024 cents 3 x x 4 x 5:6 S SD: 18.3627 cents 4 x 5 x 6:7:8 S SD: 27.2702 cents 5:6 x 7:8:9:10 S SD: 28.3402 cents 6:7 x 8:9:10:12 S SD: 17.9166 cents 7:8:9 x 11:12:14 SD: 7.6167 cents 9:10 x 12:14:15:18 S SD: 15.2330 cents 11:13:14:15:17:19:22 SD: 12.8597 cents 12:14 x 16:19:21:24 SD: 13.2794 cents 13:15:17:18:20:22:26 SD: 8.4968 cents 14:16:18:19:22:24:28 SD: 6.3769 cents 15:17 x 20:23:26:30 SD: 9.8125 cents 16:18:21:22:25:27:32 SD: 8.4300 cents 18:21 x 24:28:31:36 SD: 9.1457 cents 19:22:25:26:30:33:38 SD: 8.0491 cents 20:23:26:27:31:34:40 SD: 4.0411 cents 34:39:44:46:53:58:69 SD: 3.7403 cents 36:41:47:49:56:62:73 SD: 3.2813 cents 39:45:51:53:61:67:79 SD: 3.2645 cents 42:48:55:57:65:72:85 SD: 2.0513 cents 48:55:63:65:75:82:97 SD: 1.7407 cents 56:64:73:76:87:96:113 SD: 1.4895 cents 62:71:81:84:96:106:125 SD: 1.4378 cents 68:78:89:92:106:116:137 SD: 1.2578 cents 90:103:118:122:140:154:182 SD: 1.0198 cents 97:111:127:131:151:166:196 SD: 1.0116 cents 104:119:136:141:162:178:210 SD: 0.6445 cents 110:126:144:149:171:188:222 SD: 0.4774 cents 166:190:217:225:258:284:335 SD: 0.4728 cents 214:245:280:290:333:366:432 SD: 0.3482 cents 234:268:306:317:364:400:472 SD: 0.3343 cents 288:330:377:390:448:493:581 SD: 0.2525 cents 302:346:395:409:470:517:609 SD: 0.2293 cents 344:394:450:466:535:589:694 SD: 0.2055 cents 392:449:513:531:610:671:791 SD: 0.2019 cents 412:472:539:558:641:705:831 SD: 0.1001 cents