Scala analysis: Portugal_Bagpipe_06
Bagpipe 6 (Bagpipes), Portugal
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 128.000 cents 128.000000 2: 301.000 cents 301.000000 3: 427.000 cents 427.000000 4: 631.000 cents 631.000000 5: 792.000 cents 792.000000 6: 969.000 cents 969.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 231.0000 cents 231.0000 1: 128.0000 cents 128.0000 2: 173.0000 cents 173.0000 3: 126.0000 cents 126.0000 4: 204.0000 cents 204.0000 5: 161.0000 cents 161.0000 6: 177.0000 cents 177.0000 7: 231.0000 cents 231.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 126.00000 cents 1: 1 128.00000 cents 1: 1 161.00000 cents 1: 1 173.00000 cents 1: 1 177.00000 cents 1: 1 204.00000 cents 1: 1 231.00000 cents 2: 1 299.00000 cents 2: 1 301.00000 cents 2: 1 330.00000 cents 2: 1 338.00000 cents 2: 1 359.00000 cents 2: 1 365.00000 cents 2: 1 408.00000 cents 3: 1 427.00000 cents 3: 1 491.00000 cents 3: 1 503.00000 cents 3: 1 532.00000 cents 3: 1 536.00000 cents 3: 1 542.00000 cents 3: 1 569.00000 cents 4: 1 631.00000 cents 4: 1 658.00000 cents 4: 1 664.00000 cents 4: 1 668.00000 cents 4: 1 697.00000 cents 4: 1 709.00000 cents 4: 1 773.00000 cents 5: 1 792.00000 cents 5: 1 835.00000 cents 5: 1 841.00000 cents 5: 1 862.00000 cents 5: 1 870.00000 cents 5: 1 899.00000 cents 5: 1 901.00000 cents 6: 1 969.00000 cents 6: 1 996.00000 cents 6: 1 1023.00000 cents 6: 1 1027.00000 cents 6: 1 1039.00000 cents 6: 1 1072.00000 cents 6: 1 1074.00000 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 : 128.0 301.0 427.0 631.0 792.0 969.0 1200.0 128.0 : 173.0 299.0 503.0 664.0 841.0 1072.0 1200.0 301.0 : 126.0 330.0 491.0 668.0 899.0 1027.0 1200.0 427.0 : 204.0 365.0 542.0 773.0 901.0 1074.0 1200.0 631.0 : 161.0 338.0 569.0 697.0 870.0 996.0 1200.0 792.0 : 177.0 408.0 536.0 709.0 835.0 1039.0 1200.0 969.0 : 231.0 359.0 532.0 658.0 862.0 1023.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 126.0000 .. 231.0000 cents 105.00000 cents 126.00000 cents 2: 299.0000 .. 408.0000 cents 109.00000 cents 68.00000 cents 3: 427.0000 .. 569.0000 cents 142.00000 cents 19.00000 cents 4: 631.0000 .. 773.0000 cents 142.00000 cents 62.00000 cents 5: 792.0000 .. 901.0000 cents 109.00000 cents 19.00000 cents 6: 969.0000 .. 1074.0000 cents 105.00000 cents 68.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 126.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 231.00000 cents Average / Smallest step : 1.360544 Largest / Average step : 1.347500 Largest / Smallest step : 1.833333 Median interval of one step : 173.00000 cents, amount: 1 Least squares average step : 162.20714 cents, oct.: 1135.45000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 128 301 427 631 792 969 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 817 of 817.000 cents and inv. generated superset size: 368 = 361 more = 5257.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : BDAFCEG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 19.00000 cents Scale diversity : 1.560019 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.406667 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / 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 : 2.00000 cents Number of recognisable fifths : 2, average 703.0000 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 0 1 1 1 1 1 2 N T3 SD: 105.3455 c. M: 129.5714 c. 8: 1 1 1 1 1 1 2 P M ME S SD: 34.8466 c. M: 69.0000 c. 9: 1 1 1 2 1 1 2 P M ME S SD: 25.4795 c. M:-35.6667 c. 11: 1 2 1 2 1 2 2 P M ME S SD: 19.4887 c. M: 28.3636 c. 15: 2 2 1 3 2 2 3 P T3 SD: 18.2835 c. M:-32.0000 c. 17: 2 2 2 3 2 3 3 P D3 SD: 12.8895 c. M:-19.2353 c. 20: 2 3 2 3 3 3 4 P SD: 13.6277 c. M: 31.0000 c. 21: 2 3 2 4 3 3 4 P T3 S SD: 13.2370 c. M: 27.0000 c. 26: 3 4 2 5 3 4 5 P SD: 12.0474 c. M:-22.0769 c. 27: 3 4 3 4 4 4 5 SP SD: 9.6591 c. M:-17.4444 c. 29: 3 4 3 5 4 4 6 P SD: 10.3948 c. M: 17.2759 c. 31: 3 5 3 5 4 5 6 P SD: 9.7973 c. M: 17.8065 c. 32: 3 5 3 6 4 5 6 P SD: 8.8641 c. M: 15.5000 c. 36: 4 5 4 6 5 5 7 SP SD: 4.5426 c. M:-8.0000 c. 47: 5 7 5 8 6 7 9 SP SD: 4.3700 c. M:-7.2979 c. 56: 6 8 6 9 8 8 11 SP SD: 4.1121 c. M: 9.5714 c. 59: 6 9 6 10 8 9 11 SP SD: 3.9078 c. M:-7.2712 c. 64: 7 9 7 11 8 10 12 SP SD: 4.2783 c. M:-6.5000 c. 67: 7 10 7 11 9 10 13 SP SD: 3.0026 c. M: 4.1343 c. 68: 7 10 7 12 9 10 13 SP SD: 2.8903 c. M: 4.4706 c. 76: 8 11 8 13 10 11 15 SP SD: 2.5398 c. M: 5.8421 c. 88: 9 13 9 15 12 13 17 SP SD: 2.9955 c. M: 5.2727 c. 93: 10 13 10 16 12 14 18 SP SD: 2.6064 c. M: 4.9032 c. 95: 10 14 10 16 13 14 18 SP SD: 2.4347 c. M:-3.7895 c. 103: 11 15 11 17 14 15 20 SP SD: 1.9941 c. M:-4.0680 c. 120: 13 17 13 20 16 18 23 SP SD: 1.6903 c. M:-3.0000 c. 124: 13 18 13 21 17 18 24 SP SD: 1.4682 c. M: 2.1935 c. 135: 14 20 14 23 18 20 26 SP SD: 1.4669 c. M: 3.5556 c. 160: 17 23 17 27 22 23 31 SP SD: 1.4015 c. M:-3.0000 c. 171: 18 25 18 29 23 25 33 SP SD: 0.9401 c. M: 1.6842 c. 188: 20 27 20 32 25 28 36 SP SD: 0.7671 c. M:-1.2128 c. 244: 26 35 26 41 33 36 47 SP SD: 0.7614 c. M: 1.4918 c. 264: 28 38 28 45 35 39 51 SP SD: 0.7683 c. M: 1.0909 c. 270: 29 39 28 46 36 40 52 SP SD: 0.6772 c. M:-1.2222 c. 300: 32 43 32 51 40 44 58 SP SD: 0.7559 c. M:-1.0000 c. 306: 33 44 32 52 41 45 59 SP SD: 0.6992 c. M:-1.4118 c. 312: 33 45 33 53 42 46 60 SP SD: 0.5815 c. M: 1.0769 c. 318: 34 46 33 54 43 47 61 SP SD: 0.6258 c. M:-0.8868 c. 327: 35 47 34 56 44 48 63 SP SD: 0.5895 c. M: 1.3119 c. 365: 39 53 38 62 49 54 70 SP SD: 0.6826 c. M:-1.4658 c. 374: 40 54 39 64 50 55 72 SP SD: 0.5336 c. M:-1.0856 c. 394: 42 57 41 67 53 58 76 SP SD: 0.4102 c. M: 0.6041 c. 430: 46 62 45 73 58 63 83 SP SD: 0.3951 c. M: 0.6279 c. 447: 48 64 47 76 60 66 86 SP SD: 0.3596 c. M:-0.8591 c. 494: 53 71 52 84 66 73 95 SP SD: 0.4276 c. M:-0.7449 c. 498: 53 72 52 85 67 73 96 SP SD: 0.4098 c. M:-0.7711 c. 506: 54 73 53 86 68 75 97 SP SD: 0.3806 c. M:-0.9605 c. 514: 55 74 54 87 69 76 99 SP SD: 0.3781 c. M: 0.6498 c. 515: 55 74 54 88 69 76 99 SP SD: 0.3614 c. M: 0.5922 c. 542: 58 78 57 92 73 80 104 SP SD: 0.4158 c. M:-0.7417 c. 565: 60 82 59 96 76 83 109 SP SD: 0.3822 c. M:-0.5929 c. 570: 61 82 60 97 76 84 110 SP SD: 0.4077 c. M:-0.5789 c. 571: 61 82 60 97 77 84 110 SP SD: 0.3386 c. M: 0.5271 c. 582: 62 84 61 99 78 86 112 SP SD: 0.1405 c. M: 0.2474 c. 618: 66 89 65 105 83 91 119 SP SD: 0.1323 c. M:-0.2330 c. 1012: 108 146 106 172 136 149 195 SP SD: 0.1425 c. M: 0.2253 c. 1200: 128 173 126 204 161 177 231 SP SD: 0.0000 c. M:-0.0000 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: 35.4775 cents 3 x x 4 x x 5:6 S SD: 36.8353 cents 4 x x 5:6 x 7:8 S SD: 20.4481 cents 5 x 6 x 7:8:9:10 S SD: 14.6933 cents 6 x 7:8:9 x 11:12 SD: 26.6120 cents 7 x 8:9:10:11:12:14 S SD: 13.4378 cents 8:9 x 10:12:13:14:16 S SD: 20.2809 cents 9:10:11:12:13:14:16:18 S SD: 15.4258 cents 10:11:12:13:14:16:18:20 S SD: 12.3778 cents 11:12:13:14:16:17:19:22 SD: 7.8843 cents 14:15:17:18:20:22:25:28 SD: 7.6356 cents 15:16:18:19:22:24:26:30 SD: 7.2450 cents 21:23:25:27:30:33:37:42 SD: 5.2345 cents 25:27:30:32:36:40:44:50 SD: 4.0563 cents 28:30:33:36:40:44:49:56 SD: 3.7405 cents 36:39:43:46:52:57:63:72 SD: 2.0536 cents 43:46:51:55:62:68:75:86 SD: 2.0318 cents 52:56:62:67:75:82:91:104 SD: 1.8764 cents 53:57:63:68:76:84:93:106 SD: 1.5904 cents 64:69:76:82:92:101:112:128 SD: 0.8262 cents 100:108:119:128:144:158:175:200 SD: 0.7520 cents 132:142:157:169:190:209:231:264 SD: 0.5806 cents 143:154:170:183:206:226:250:286 SD: 0.3846 cents 157:169:187:201:226:248:275:314 SD: 0.3520 cents 221:238:263:283:318:349:387:442 SD: 0.2952 cents 236:254:281:302:340:373:413:472 SD: 0.2604 cents 300:323:357:384:432:474:525:600 SD: 0.0774 cents