Scala analysis: Sweden_A
Sweden A (spilåpipa), Sweden
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 355.000 cents 355.000000 2: 496.000 cents 496.000000 3: 675.000 cents 675.000000 4: 842.000 cents 842.000000 5: 977.000 cents 977.000000 6: 1168.000 cents 1168.000000
SHOW/INTERVAL
0: 191.0000 cents 191.0000 1: 355.0000 cents 355.0000 2: 141.0000 cents 141.0000 3: 179.0000 cents 179.0000 4: 167.0000 cents 167.0000 5: 135.0000 cents 135.0000 6: 191.0000 cents 191.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 135.00000 cents 1: 1 141.00000 cents 1: 1 167.00000 cents 1: 1 179.00000 cents 1: 1 191.00000 cents 1: 1 355.00000 cents 2: 1 302.00000 cents 2: 1 320.00000 cents 2: 1 326.00000 cents 2: 1 346.00000 cents 2: 1 496.00000 cents 2: 1 546.00000 cents 3: 1 481.00000 cents 3: 1 487.00000 cents 3: 1 493.00000 cents 3: 1 675.00000 cents 3: 1 681.00000 cents 3: 1 687.00000 cents 4: 1 622.00000 cents 4: 1 672.00000 cents 4: 1 822.00000 cents 4: 1 842.00000 cents 4: 1 848.00000 cents 4: 1 866.00000 cents 5: 1 813.00000 cents 5: 1 977.00000 cents 5: 1 989.00000 cents 5: 1 1001.00000 cents 5: 1 1027.00000 cents 5: 1 1033.00000 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 : 355.0 496.0 675.0 842.0 977.0 1168.0 355.0 : 141.0 320.0 487.0 622.0 813.0 1168.0 496.0 : 179.0 346.0 481.0 672.0 1027.0 1168.0 675.0 : 167.0 302.0 493.0 848.0 989.0 1168.0 842.0 : 135.0 326.0 681.0 822.0 1001.0 1168.0 977.0 : 191.0 546.0 687.0 866.0 1033.0 1168.0 1168.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 135.0000 .. 355.0000 cents 220.00000 cents 135.00000 cents 2: 302.0000 .. 546.0000 cents 244.00000 cents -53.00000 cents 3: 481.0000 .. 687.0000 cents 206.00000 cents -65.00000 cents 4: 622.0000 .. 866.0000 cents 244.00000 cents -65.00000 cents 5: 813.0000 .. 1033.0000 cents 220.00000 cents -53.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 135.00000 cents, class 1 Average step (divided formal octave): 194.6667 cents Largest one step interval : 355.00000 cents Average / Smallest step : 1.441975 Largest / Average step : 1.823630 Largest / Smallest step : 2.629630 Median interval of one step : 173.00000 cents, amount: 0 Least squares average step : 204.75824 cents, oct.: 1228.54945 cents Scale is not proper Scale is a mode of a 1168-tone equal temperament with octave 1168.000 cents degrees: 355 496 675 842 977 1168 Least number of segments generator : 585 of 585.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 935 of 935.000 cents and inv. generated superset size: 259 = 253 more = 4316.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : FBDCAE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.00000 cents Scale diversity : 1.458302 Lumma stability : 0.231164 Lumma impropriety factor : 0.202055 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / 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 : 3.00000 cents Number of recognisable fifths : 1, average 687.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 4, average 489.2500 cents Number of appreciable fourths : 3, average 492.0000 cents Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
6: 2 0 1 1 1 1 N T3 SD: 64.3715 c. M: 106.6667 c. 7: 2 1 1 1 1 1 P M ME SD: 13.9863 c. M:-24.1429 c. 17: 5 2 3 2 2 3 N SD: 13.1630 c. M: 17.5294 c. 19: 6 2 3 3 2 3 N SD: 10.0101 c. M:-18.6316 c. 24: 7 3 4 3 3 4 N SD: 9.6715 c. M: 14.6667 c. 26: 8 3 4 4 3 4 N SD: 6.8916 c. M:-11.5385 c. 33: 10 4 5 5 4 5 N SD: 6.5841 c. M:-14.0303 c. 36: 11 4 6 5 4 6 N SD: 4.9439 c. M: 9.3333 c. 42: 13 5 6 6 5 7 N SD: 5.6824 c. M: 7.7143 c. 43: 13 5 7 6 5 7 N SD: 3.4360 c. M: 7.0698 c. 50: 15 6 8 7 6 8 N SD: 3.5299 c. M: 5.4400 c. 68: 21 8 10 10 8 11 N SD: 3.3565 c. M:-5.7059 c. 69: 21 8 11 10 8 11 N SD: 3.4842 c. M: 5.1014 c. 73: 22 9 11 11 8 12 N SD: 3.0277 c. M:-6.0000 c. 78: 24 9 12 11 9 13 N SD: 2.8640 c. M:-4.3846 c. 85: 26 10 13 12 10 14 N SD: 2.0804 c. M: 3.7882 c. 92: 28 11 14 13 11 15 N SD: 1.9385 c. M: 4.0870 c. 111: 34 13 17 16 13 18 N SD: 1.5673 c. M:-2.7658 c. 128: 39 15 20 18 15 21 N SD: 1.7336 c. M: 3.2500 c. 132: 40 16 20 19 15 22 N SD: 1.9610 c. M: 3.6667 c. 135: 41 16 21 19 16 22 N SD: 1.6482 c. M: 2.8444 c. 139: 42 17 21 20 16 23 N SD: 1.8310 c. M: 2.7698 c. 147: 45 17 23 21 17 24 N SD: 1.7407 c. M: 3.3741 c. 151: 46 18 23 22 17 25 N SD: 1.4538 c. M: 2.3775 c. 158: 48 19 24 23 18 26 N SD: 1.1375 c. M: 2.2911 c. 165: 50 20 25 24 19 27 N SD: 1.1433 c. M: 2.5152 c. 182: 55 22 28 26 21 30 N SD: 1.4656 c. M: 2.0330 c. 183: 56 22 28 26 21 30 N SD: 1.4195 c. M:-2.4208 c. 184: 56 22 28 27 21 30 N SD: 1.3512 c. M:-2.2609 c. 190: 58 23 29 27 22 31 N SD: 1.1426 c. M:-1.9368 c. 197: 60 24 30 28 23 32 N SD: 1.0881 c. M:-2.0305 c. 201: 61 24 31 29 23 33 N SD: 1.0293 c. M: 2.0697 c. 208: 63 25 32 30 24 34 N SD: 1.0292 c. M: 1.8462 c. 214: 65 26 33 30 25 35 N SD: 0.9895 c. M:-1.7850 c. 221: 67 27 34 31 26 36 N SD: 1.0808 c. M: 1.6742 c. 226: 69 27 35 32 26 37 N SD: 1.0729 c. M:-2.0265 c. 233: 71 28 36 33 27 38 N SD: 0.8386 c. M:-1.7382 c. 240: 73 29 37 34 28 39 N SD: 0.7986 c. M:-1.4667 c. 280: 85 34 43 40 32 46 N SD: 0.5942 c. M: 0.8857 c. 287: 87 35 44 41 33 47 N SD: 0.5337 c. M: 0.9373 c. 348: 106 42 53 50 40 57 N SD: 0.5108 c. M:-0.7701 c. 355: 108 43 54 51 41 58 N SD: 0.4374 c. M:-0.8113 c. 372: 113 45 57 53 43 61 N SD: 0.3211 c. M: 0.5376 c. 391: 119 47 60 56 45 64 N SD: 0.2720 c. M:-0.4783 c. 398: 121 48 61 57 46 65 N SD: 0.1501 c. M:-0.2513 c. 770: 234 93 118 110 89 126 N SD: 0.0776 c. M: 0.1299 c. 1168: 355 141 179 167 135 191 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 32.0000 cents 2 x x 3 x x 4 S SD: 20.9199 cents 3 x 4 x 5 x 6 S SD: 17.7089 cents 4:5 x 6 x 7:8 S SD: 13.2239 cents 5:6:7 x 8:9:10 S SD: 22.3671 cents 6:7:8:9:10:11:12 H SD: 21.4425 cents 7 x 9:10:11:12:14 SD: 23.2450 cents 8:10:11:12:13:14:16 S SD: 12.7586 cents 9:11:12:13:15:16:18 SD: 11.4476 cents 12:15:16:18:20:21:24 S SD: 11.2994 cents 13:16:17:19:21:23:26 SD: 8.5291 cents 17:21:23:25:28:30:33 SD: 7.1157 cents 18:22:24:27:29:32:35 SD: 6.8735 cents 21:26:28:31:34:37:41 SD: 3.2939 cents 30:37:40:44:49:53:59 SD: 3.0866 cents 40:49:53:59:65:70:79 SD: 2.7340 cents 48:59:64:71:78:84:94 SD: 1.7109 cents 54:66:72:80:88:95:106 SD: 1.7037 cents 57:70:76:84:93:100:112 SD: 1.3470 cents 75:92:100:111:122:132:147 SD: 0.9356 cents 88:108:117:130:143:155:173 SD: 0.8355 cents 115:141:153:170:187:202:226 SD: 0.6681 cents 132:162:176:195:215:232:259 SD: 0.5988 cents 136:167:181:201:221:239:267 SD: 0.4172 cents 166:204:221:245:270:292:326 SD: 0.3982 cents 193:237:257:285:314:339:379 SD: 0.3326 cents 220:270:293:325:358:387:432 SD: 0.2398 cents 281:345:374:415:457:494:552 SD: 0.2388 cents 356:437:474:526:579:626:699 SD: 0.1552 cents 434:533:578:641:706:763:852 SD: 0.1474 cents 522:641:695:771:849:918:1025 SD: 0.1375 cents 554:680:738:818:901:974:1088 SD: 0.1333 cents 575:706:766:849:935:1011:1129 SD: 0.1326 cents