Scala analysis: Portugal_Bagpipe_07
Bagpipe 7 (Bagpipes), Portugal
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 84.000 cents 84.000000 2: 133.000 cents 133.000000 3: 301.000 cents 301.000000 4: 336.000 cents 336.000000 5: 467.000 cents 467.000000 6: 607.000 cents 607.000000 7: 702.000 cents 702.000000 8: 770.000 cents 770.000000 9: 1056.000 cents 1056.000000 10: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 144.0000 cents 144.0000 1: 84.0000 cents 84.0000 2: 49.0000 cents 49.0000 3: 168.0000 cents 168.0000 4: 35.0000 cents 35.0000 5: 131.0000 cents 131.0000 6: 140.0000 cents 140.0000 7: 95.0000 cents 95.0000 8: 68.0000 cents 68.0000 9: 286.0000 cents 286.0000 10: 144.0000 cents 144.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 35.00000 cents 1: 1 49.00000 cents 1: 1 68.00000 cents 1: 1 84.00000 cents 1: 1 95.00000 cents 1: 1 131.00000 cents 1: 1 140.00000 cents 1: 1 144.00000 cents 1: 1 168.00000 cents 1: 1 286.00000 cents 2: 1 133.00000 cents 2: 1 163.00000 cents 2: 1 166.00000 cents 2: 1 203.00000 cents 2: 1 217.00000 cents 2: 1 228.00000 cents 2: 1 235.00000 cents 2: 1 271.00000 cents 2: 1 354.00000 cents 2: 1 430.00000 cents 3: 1 252.00000 cents 3: 1 277.00000 cents 3: 1 301.00000 cents 3: 1 303.00000 cents 3: 1 306.00000 cents 3: 1 334.00000 cents 3: 1 366.00000 cents 3: 1 449.00000 cents 3: 1 498.00000 cents 3: 1 514.00000 cents 4: 1 336.00000 cents 4: 1 383.00000 cents 4: 1 401.00000 cents 4: 1 434.00000 cents 4: 1 445.00000 cents 4: 1 474.00000 cents 4: 1 563.00000 cents 4: 1 582.00000 cents 4: 1 589.00000 cents 4: 1 593.00000 cents 5: 1 467.00000 cents 5: 1 469.00000 cents 5: 1 480.00000 cents 5: 1 523.00000 cents 5: 1 569.00000 cents 5: 1 631.00000 cents 5: 1 677.00000 cents 5: 1 720.00000 cents 5: 1 731.00000 cents 5: 1 733.00000 cents 6: 1 607.00000 cents 6: 1 611.00000 cents 6: 1 618.00000 cents 6: 1 637.00000 cents 6: 1 726.00000 cents 6: 1 755.00000 cents 6: 1 766.00000 cents 6: 1 799.00000 cents 6: 1 817.00000 cents 6: 1 864.00000 cents 7: 1 686.00000 cents 7: 1 702.00000 cents 7: 1 751.00000 cents 7: 1 834.00000 cents 7: 1 866.00000 cents 7: 1 894.00000 cents 7: 1 897.00000 cents 7: 1 899.00000 cents 7: 1 923.00000 cents 7: 1 948.00000 cents 8: 1 770.00000 cents 8: 1 846.00000 cents 8: 1 929.00000 cents 8: 1 965.00000 cents 8: 1 972.00000 cents 8: 1 983.00000 cents 8: 1 997.00000 cents 8: 1 1034.00000 cents 8: 1 1037.00000 cents 8: 1 1067.00000 cents 9: 1 914.00000 cents 9: 1 1032.00000 cents 9: 1 1056.00000 cents 9: 1 1060.00000 cents 9: 1 1069.00000 cents 9: 1 1105.00000 cents 9: 1 1116.00000 cents 9: 1 1132.00000 cents 9: 1 1151.00000 cents 9: 1 1165.00000 cents Highest number of different intervals for one interval class: 10 Average number of different intervals per interval class: 10.00000 = 10
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 84.0 133.0 301.0 336.0 467.0 607.0 702.0 770.0 1056.0 1200.0 84.0 : 49.0 217.0 252.0 383.0 523.0 618.0 686.0 972.0 1116.0 1200.0 133.0 : 168.0 203.0 334.0 474.0 569.0 637.0 923.0 1067.0 1151.0 1200.0 301.0 : 35.0 166.0 306.0 401.0 469.0 755.0 899.0 983.0 1032.0 1200.0 336.0 : 131.0 271.0 366.0 434.0 720.0 864.0 948.0 997.0 1165.0 1200.0 467.0 : 140.0 235.0 303.0 589.0 733.0 817.0 866.0 1034.0 1069.0 1200.0 607.0 : 95.0 163.0 449.0 593.0 677.0 726.0 894.0 929.0 1060.0 1200.0 702.0 : 68.0 354.0 498.0 582.0 631.0 799.0 834.0 965.0 1105.0 1200.0 770.0 : 286.0 430.0 514.0 563.0 731.0 766.0 897.0 1037.0 1132.0 1200.0 1056.0: 144.0 228.0 277.0 445.0 480.0 611.0 751.0 846.0 914.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 35.0000 .. 286.0000 cents 251.00000 cents 35.00000 cents 2: 133.0000 .. 430.0000 cents 297.00000 cents -153.00000 cents 3: 252.0000 .. 514.0000 cents 262.00000 cents -178.00000 cents 4: 336.0000 .. 593.0000 cents 257.00000 cents -178.00000 cents 5: 467.0000 .. 733.0000 cents 266.00000 cents -126.00000 cents 6: 607.0000 .. 864.0000 cents 257.00000 cents -126.00000 cents 7: 686.0000 .. 948.0000 cents 262.00000 cents -178.00000 cents 8: 770.0000 .. 1067.0000 cents 297.00000 cents -178.00000 cents 9: 914.0000 .. 1165.0000 cents 251.00000 cents -153.00000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 35.00000 cents, class 1 Average step (divided formal octave): 120.0000 cents Largest one step interval : 286.00000 cents Average / Smallest step : 3.428571 Largest / Average step : 2.383333 Largest / Smallest step : 8.171429 Median interval of one step : 113.00000 cents, amount: 0 Least squares average step : 106.88831 cents, oct.: 1068.88312 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 84 133 301 336 467 607 702 770 1056 1200 Least number of segments generator : 607 of 607.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 611 of 611.000 cents and inv. generated superset size: 577 = 567 more = 5770.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGHIJ Step pattern size order : DBIAFGECJH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.00000 cents Scale diversity : 1.764787 Lumma stability : 0.058333 Lumma impropriety factor : 0.766667 Rothenberg efficiency : 0.200000 redundancy: 0.800000 Efficiency x scale size : 2.000000 Number of different interval sizes : 90 = 10.00000 / class Number of one step interval sizes : 10 Highest interval variety : 10 Mean interval variety : 10.00000 = 10 Median interval variety : 10 Lowest interval variety : 10 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 3, average 702.6667 cents Number of appreciable fifths : 1, average 702.0000 cents Formal octave complements present : 1 = 10.0000% -- Rational properties --
FIT/MODE
10: 1 0 2 0 1 1 1 1 2 1 N T3 SD: 33.9706 c. M:-70.0000 c. 11: 1 0 2 0 1 2 0 1 3 1 N SD: 29.4582 c. M:-47.5455 c. 12: 1 0 2 0 2 1 1 1 3 1 N SD: 25.7294 c. M:-44.0000 c. 13: 1 0 2 1 1 2 1 0 3 2 N SD: 29.9089 c. M: 40.6923 c. 14: 1 1 2 0 1 2 1 1 3 2 N SD: 24.1331 c. M:-41.8571 c. 15: 1 1 2 0 2 2 1 1 3 2 N SD: 20.2485 c. M:-33.0000 c. 16: 1 1 2 0 2 2 1 1 4 2 N SD: 17.8045 c. M: 36.0000 c. 17: 1 1 2 1 2 2 1 1 4 2 N SD: 15.7553 c. M:-28.2941 c. 19: 1 1 3 0 2 3 1 1 5 2 N SD: 16.8587 c. M: 24.8947 c. 20: 1 1 3 1 2 2 2 1 5 2 N SD: 15.9374 c. M: 24.0000 c. 24: 2 1 3 1 2 3 2 1 6 3 N SD: 12.3288 c. M: 20.0000 c. 25: 2 1 3 1 3 3 2 1 6 3 N SD: 11.0454 c. M:-18.0000 c. 26: 2 1 4 0 3 3 2 2 6 3 N SD: 10.8180 c. M:-22.0769 c. 28: 2 1 4 1 3 3 2 2 7 3 N SD: 8.0280 c. M: 16.2857 c. 33: 2 2 4 1 4 4 2 2 8 4 N SD: 8.8523 c. M:-12.4545 c. 36: 3 1 5 1 4 4 3 2 9 4 N SD: 6.6500 c. M:-16.0000 c. 39: 3 1 6 1 4 5 3 2 9 5 N SD: 6.6963 c. M: 9.9231 c. 43: 3 2 6 1 5 5 3 3 10 5 N SD: 5.9299 c. M:-11.3953 c. 44: 3 2 6 1 5 5 4 2 11 5 N SD: 5.5013 c. M: 8.7273 c. 51: 4 2 7 1 6 6 4 3 12 6 N SD: 5.8048 c. M:-10.1176 c. 53: 4 2 7 2 6 6 4 3 13 6 N SD: 5.1540 c. M:-8.4717 c. 56: 4 2 8 2 6 6 5 3 13 7 N SD: 4.5130 c. M: 7.0000 c. 61: 4 3 8 2 7 7 5 3 15 7 N SD: 4.5609 c. M:-6.2951 c. 64: 4 3 9 2 7 7 5 4 15 8 N SD: 4.9497 c. M: 9.0000 c. 65: 4 3 9 2 7 8 5 4 15 8 N SD: 4.9002 c. M: 10.1538 c. 67: 5 2 10 2 7 8 5 4 16 8 N SD: 3.7133 c. M: 7.6269 c. 72: 5 3 10 2 8 8 6 4 17 9 N SD: 3.2998 c. M: 7.0000 c. 75: 5 3 11 2 8 9 6 4 18 9 N SD: 2.6077 c. M: 5.0000 c. 89: 6 4 12 3 10 10 7 5 21 11 N SD: 2.8095 c. M:-4.9101 c. 97: 7 4 13 3 11 11 8 5 23 12 N SD: 2.9315 c. M: 4.4536 c. 101: 7 4 14 3 11 12 8 6 24 12 N SD: 2.3539 c. M: 3.9703 c. 111: 8 4 16 3 12 13 9 6 27 13 N SD: 2.1449 c. M:-3.4595 c. 115: 8 5 16 3 13 13 9 7 27 14 N SD: 2.0328 c. M: 2.8696 c. 118: 8 5 17 3 13 14 9 7 28 14 N SD: 2.1494 c. M:-4.0847 c. 125: 9 5 17 4 14 14 10 7 30 15 N SD: 2.0278 c. M:-3.4000 c. 126: 9 5 18 3 14 15 10 7 30 15 N SD: 2.0437 c. M:-3.7619 c. 128: 9 5 18 4 14 15 10 7 31 15 N SD: 1.7139 c. M:-3.3750 c. 142: 10 6 20 4 15 17 11 8 34 17 N SD: 1.6761 c. M:-3.2254 c. 156: 11 6 22 5 17 18 12 9 37 19 N SD: 1.6462 c. M:-2.4615 c. 164: 11 7 23 5 18 19 13 9 39 20 N SD: 1.6035 c. M: 3.5122 c. 174: 12 7 25 5 19 20 14 10 41 21 N SD: 1.6616 c. M:-2.4483 c. 182: 13 7 26 5 20 21 14 11 43 22 N SD: 1.5417 c. M: 3.0989 c. 188: 13 8 26 6 20 22 15 11 44 23 N SD: 1.5251 c. M: 2.8085 c. 190: 13 8 27 5 21 22 15 11 45 23 N SD: 1.1555 c. M:-2.1579 c. 200: 14 8 28 6 22 23 16 11 48 24 N SD: 0.8944 c. M: 2.0000 c. 210: 15 8 30 6 23 24 17 12 50 25 N SD: 1.3553 c. M:-1.8571 c. 214: 15 9 30 6 23 25 17 12 51 26 N SD: 1.3380 c. M:-1.8037 c. 215: 15 9 30 6 24 25 17 12 51 26 N SD: 1.0259 c. M:-1.8372 c. 224: 16 9 31 7 24 26 18 13 53 27 N SD: 1.1451 c. M:-1.7143 c. 226: 16 9 32 6 25 26 18 13 54 27 N SD: 1.0251 c. M: 1.6903 c. 243: 17 10 34 7 27 28 19 14 58 29 N SD: 0.7926 c. M:-2.1358 c. 282: 20 11 40 8 31 33 22 16 67 34 N SD: 0.8767 c. M:-1.5106 c. 290: 20 12 41 8 32 34 23 16 69 35 N SD: 0.9266 c. M:-1.4483 c. 299: 21 12 42 9 32 35 24 17 71 36 N SD: 0.7337 c. M: 1.4482 c. 310: 22 12 44 9 34 36 24 18 74 37 N SD: 0.9880 c. M: 1.3871 c. 314: 22 13 44 9 34 37 25 17 75 38 N SD: 0.9382 c. M: 1.8471 c. 316: 22 13 44 9 35 37 25 18 75 38 N SD: 0.7785 c. M: 1.8228 c. 318: 22 13 45 9 35 37 25 18 76 38 N SD: 0.6476 c. M: 0.9811 c. 332: 23 14 46 10 36 39 26 19 79 40 N SD: 0.6235 c. M: 1.0000 c. 390: 27 16 55 11 43 45 31 22 93 47 N SD: 0.6617 c. M: 0.9231 c. 399: 28 16 56 12 43 47 31 23 95 48 N SD: 0.6263 c. M: 1.2481 c. 407: 28 17 57 12 44 48 32 23 97 49 N SD: 0.6526 c. M: 1.4447 c. 414: 29 17 58 12 45 48 33 24 98 50 N SD: 0.6419 c. M: 1.2029 c. 415: 29 17 58 12 45 49 33 23 99 50 N SD: 0.6387 c. M: 1.4578 c. 427: 30 17 60 13 46 50 34 24 102 51 N SD: 0.5983 c. M:-1.2365 c. 439: 31 18 61 13 48 51 35 25 104 53 N SD: 0.5931 c. M:-0.9408 c. 442: 31 18 62 13 48 52 35 25 105 53 N SD: 0.6595 c. M:-1.1674 c. 443: 31 18 62 13 48 52 35 25 106 53 N SD: 0.4768 c. M: 1.0858 c. 458: 32 19 64 13 50 54 36 26 109 55 N SD: 0.4663 c. M:-0.8603 c. 485: 34 20 68 14 53 56 39 27 116 58 N SD: 0.5826 c. M:-0.8557 c. 486: 34 20 68 14 53 57 38 28 116 58 N SD: 0.4280 c. M:-0.7901 c. 514: 36 21 72 15 56 60 41 29 122 62 N SD: 0.3662 c. M: 0.7471 c. 542: 38 22 76 16 59 63 43 31 129 65 N SD: 0.2742 c. M:-0.5314 c. 658: 46 27 92 19 72 77 52 37 157 79 N SD: 0.2259 c. M: 0.4377 c. 868: 61 35 122 25 95 101 69 49 207 104 N SD: 0.2385 c. M:-0.3825 c. 882: 62 36 123 26 96 103 70 50 210 106 N SD: 0.2335 c. M:-0.3537 c. 957: 67 39 134 28 104 112 76 54 228 115 N SD: 0.2013 c. M: 0.5423 c. 1000: 70 41 140 29 109 117 79 57 238 120 N SD: 0.1789 c. M:-0.4000 c. 1085: 76 44 152 32 118 127 86 61 259 130 N SD: 0.2155 c. M:-0.3041 c. 1125: 79 46 157 33 123 131 89 64 268 135 N SD: 0.1738 c. M:-0.3333 c. 1200: 84 49 168 35 131 140 95 68 286 144 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x 3 x x 4 S SD: 0.0225 cents 3 x x x x 4 x x 5 x 6 S SD: 39.4992 cents 4 x x x 5 x x 6 x 7:8 S SD: 25.1630 cents 5 x x 6 x x 7 x 8:9:10 S SD: 12.9574 cents 6 x x 7 x 8 x 9 x 11:12 SD: 9.3223 cents 7 x x 8 x 9:10 x 11:13:14 SD: 13.3405 cents 8 x 9 x 10 x 11:12 x 15:16 S SD: 18.0289 cents 9 x 10 x 11:12:13 x 14:17:18 SD: 11.4881 cents 10 x 11:12 x 13:14:15:16:18:20 S SD: 9.1729 cents 11 x 12:13 x 14:16 x 17:20:22 SD: 10.4450 cents 12 x 13:14:15:16:17:18:19:22:24 SD: 8.1683 cents 13 x 14:15:16:17:18 x 20:24:26 S SD: 9.6294 cents 14 x 15 x 17:18:20:21:22:26:28 SD: 5.1766 cents 15 x 16:18 x 20:21 x 23:28:30 SD: 8.7282 cents 16:17 x 19 x 21:23:24:25:29:32 SD: 5.0362 cents 17:18 x 20:21:22:24:26:27:31:34 SD: 7.3374 cents 18:19 x 21:22:24:26:27:28:33:36 SD: 6.3810 cents 19:20:21 x 23:25:27:29:30:35:38 SD: 6.1634 cents 20:21:22:24 x 26:28:30:31:37:40 SD: 5.2243 cents 22:23:24:26:27:29:31:33:34:40:44 SD: 4.3079 cents 24:25:26 x 29:31:34:36:37:44:48 SD: 4.0611 cents 25:26:27:30 x 33:36:38:39:46:50 SD: 4.6790 cents 26:27:28:31:32:34:37:39:41:48:52 SD: 3.6439 cents 29:30:31 x 35:38:41:44:45:53:58 SD: 4.6314 cents 30:31:32:36 x 39:43:45:47:55:60 SD: 4.8842 cents 31:33 x 37:38:41:44:47:48:57:62 SD: 4.5708 cents 32:34:35:38:39:42:45:48:50:59:64 SD: 3.6002 cents 35:37:38:42 x 46:50:53:55:64:70 SD: 3.7626 cents 36:38:39:43:44:47:51:54:56:66:72 SD: 2.0302 cents 38:40:41:45:46:50:54:57:59:70:76 SD: 1.6162 cents 62:65:67:74:75:81:88:93:97:114:124 SD: 1.0983 cents 74:78:80:88:90:97:105:111:115:136:148 SD: 1.0932 cents 84:88:91:100:102:110:119:126:131:155:168 SD: 0.9007 cents 100:105:108:119:121:131:142:150:156:184:200 SD: 0.6048 cents 126:132:136:150:153:165:179:189:197:232:252 SD: 0.5354 cents 136:143:147:162:165:178:193:204:212:250:272 SD: 0.4976 cents 162:170:175:193:197:212:230:243:253:298:324 SD: 0.4220 cents 164:172:177:195:199:215:233:246:256:302:328 SD: 0.3476 cents 200:210:216:238:243:262:284:300:312:368:400 SD: 0.1414 cents 462:485:499:550:561:605:656:693:721:850:924 SD: 0.1207 cents 500:525:540:595:607:655:710:750:780:920:1000 SD: 0.0871 cents