Scala analysis: Sweden_B
Sweden B (spilåpipa), Sweden
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 372.000 cents 372.000000 2: 507.000 cents 507.000000 3: 682.000 cents 682.000000 4: 821.000 cents 821.000000 5: 985.000 cents 985.000000 6: 1159.000 cents 1159.000000
SHOW/INTERVAL
0: 174.0000 cents 174.0000 1: 372.0000 cents 372.0000 2: 135.0000 cents 135.0000 3: 175.0000 cents 175.0000 4: 139.0000 cents 139.0000 5: 164.0000 cents 164.0000 6: 174.0000 cents 174.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 135.00000 cents 1: 1 139.00000 cents 1: 1 164.00000 cents 1: 1 174.00000 cents 1: 1 175.00000 cents 1: 1 372.00000 cents 2: 1 303.00000 cents 2: 1 310.00000 cents 2: 1 314.00000 cents 2: 1 338.00000 cents 2: 1 507.00000 cents 2: 1 546.00000 cents 3: 1 449.00000 cents 3: 1 477.00000 cents 3: 1 478.00000 cents 3: 1 681.00000 cents 3: 1 682.00000 cents 3: 1 710.00000 cents 4: 1 613.00000 cents 4: 1 652.00000 cents 4: 1 821.00000 cents 4: 1 845.00000 cents 4: 1 849.00000 cents 4: 1 856.00000 cents 5: 1 787.00000 cents 5: 1 984.00000 cents 5: 1 985.00000 cents 5: 1 995.00000 cents 5: 1 1020.00000 cents 5: 1 1024.00000 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 : 372.0 507.0 682.0 821.0 985.0 1159.0 372.0 : 135.0 310.0 449.0 613.0 787.0 1159.0 507.0 : 175.0 314.0 478.0 652.0 1024.0 1159.0 682.0 : 139.0 303.0 477.0 849.0 984.0 1159.0 821.0 : 164.0 338.0 710.0 845.0 1020.0 1159.0 985.0 : 174.0 546.0 681.0 856.0 995.0 1159.0 1159.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 135.0000 .. 372.0000 cents 237.00000 cents 135.00000 cents 2: 303.0000 .. 546.0000 cents 243.00000 cents -69.00000 cents 3: 449.0000 .. 710.0000 cents 261.00000 cents -97.00000 cents 4: 613.0000 .. 856.0000 cents 243.00000 cents -97.00000 cents 5: 787.0000 .. 1024.0000 cents 237.00000 cents -69.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 135.00000 cents, class 1 Average step (divided formal octave): 193.1667 cents Largest one step interval : 372.00000 cents Average / Smallest step : 1.430864 Largest / Average step : 1.925798 Largest / Smallest step : 2.755556 Median interval of one step : 169.00000 cents, amount: 0 Least squares average step : 204.34066 cents, oct.: 1226.04396 cents Scale is not proper Scale is a mode of a 1159-tone equal temperament with octave 1159.000 cents degrees: 372 507 682 821 985 1159 Least number of segments generator : 580 of 580.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 784 of 784.000 cents and inv. generated superset size: 246 = 240 more = 4100.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : FAEBCD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 29.00000 cents Scale diversity : 1.522334 Lumma stability : 0.232959 Lumma impropriety factor : 0.286454 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 : 1.00000 cents Number of recognisable fifths : 1, average 710.0000 cents Number of recognisable fourths : 1, average 507.0000 cents Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
6: 2 1 1 0 1 1 N D3 SD: 52.2584 c. M:-90.6667 c. 7: 2 1 1 1 1 1 P M ME SD: 19.5014 c. M: 40.8571 c. 13: 4 2 2 1 2 2 N D3 SD: 19.8193 c. M:-31.2308 c. 15: 5 2 2 2 2 2 N M DE SD: 21.4011 c. M:-33.8667 c. 17: 5 2 3 2 2 3 N SD: 21.5818 c. M: 31.1176 c. 18: 6 2 3 2 2 3 N SD: 16.2629 c. M:-26.2778 c. 19: 6 2 3 2 3 3 N SD: 15.1822 c. M: 28.0000 c. 20: 6 3 3 2 3 3 N D3 SD: 13.3907 c. M: 24.3000 c. 21: 7 2 3 3 3 3 N SD: 11.6759 c. M: 19.7143 c. 25: 8 3 4 3 3 4 N SD: 9.1484 c. M:-13.4800 c. 27: 9 3 4 3 4 4 N SD: 7.4042 c. M:-14.3333 c. 32: 10 4 5 4 4 5 N SD: 7.4079 c. M:-12.0312 c. 34: 11 4 5 4 5 5 N SD: 2.8445 c. M:-4.3235 c. 66: 21 8 10 8 9 10 N SD: 2.7447 c. M:-4.3485 c. 75: 24 9 11 9 11 11 N SD: 2.3886 c. M:-4.0133 c. 78: 25 9 12 9 11 12 N SD: 2.5316 c. M: 4.3077 c. 85: 27 10 13 10 12 13 N SD: 2.5821 c. M: 3.8471 c. 87: 28 10 13 11 12 13 N SD: 2.3634 c. M:-4.9540 c. 93: 30 11 14 11 13 14 N SD: 2.3610 c. M:-3.9570 c. 99: 32 11 15 12 14 15 N SD: 2.3669 c. M: 3.5960 c. 100: 32 12 15 12 14 15 N SD: 1.6776 c. M:-2.9600 c. 119: 38 14 18 14 17 18 N SD: 1.5268 c. M: 2.8824 c. 121: 39 14 18 15 17 18 N SD: 1.6672 c. M:-2.7521 c. 133: 43 15 20 16 19 20 N SD: 1.7603 c. M:-2.7143 c. 134: 43 16 20 16 19 20 N SD: 1.5327 c. M:-3.3060 c. 141: 45 17 21 17 20 21 N SD: 1.5441 c. M:-2.6312 c. 153: 49 18 23 18 22 23 N SD: 1.2497 c. M: 2.8824 c. 155: 50 18 23 19 22 23 N SD: 1.5513 c. M:-2.0194 c. 158: 51 18 24 19 22 24 N SD: 1.2741 c. M:-2.1076 c. 165: 53 19 25 20 23 25 N SD: 0.9447 c. M: 1.6061 c. 199: 64 23 30 24 28 30 N SD: 0.5070 c. M:-0.7437 c. 240: 77 28 36 29 34 36 N SD: 0.4536 c. M: 1.0875 c. 418: 134 49 63 50 59 63 N SD: 0.3919 c. M: 0.6818 c. 439: 141 51 66 53 62 66 N SD: 0.3815 c. M: 0.8565 c. 498: 160 58 75 60 70 75 N SD: 0.3793 c. M: 0.5482 c. 501: 161 58 76 60 71 75 N SD: 0.3763 c. M:-0.4970 c. 505: 162 59 76 61 71 76 N SD: 0.3638 c. M:-0.6277 c. 508: 163 59 77 61 72 76 N SD: 0.3609 c. M:-0.6063 c. 539: 173 63 81 65 76 81 N SD: 0.3007 c. M:-0.4657 c. 620: 199 72 94 74 88 93 N SD: 0.2614 c. M: 0.4048 c. 658: 211 77 99 79 93 99 N SD: 0.2865 c. M: 0.3784 c. 661: 212 77 100 79 94 99 N SD: 0.2858 c. M:-0.4130 c. 686: 220 80 104 82 97 103 N SD: 0.2712 c. M:-0.5598 c. 707: 227 82 107 85 100 106 N SD: 0.2462 c. M: 0.4498 c. 720: 231 84 109 86 102 108 N SD: 0.2326 c. M:-0.5222 c. 741: 238 86 112 89 105 111 N SD: 0.2211 c. M:-0.3846 c. 819: 263 95 124 98 116 123 N SD: 0.1994 c. M: 0.3797 c. 826: 265 96 125 99 117 124 N SD: 0.2132 c. M: 0.4637 c. 841: 270 98 127 101 119 126 N SD: 0.2297 c. M:-0.3603 c. 853: 274 99 129 102 121 128 N SD: 0.2009 c. M: 0.3247 c. 860: 276 100 130 103 122 129 N SD: 0.1714 c. M: 0.2744 c. 919: 295 107 139 110 130 138 N SD: 0.1185 c. M:-0.2840 c. 926: 297 108 140 111 131 139 N SD: 0.1312 c. M: 0.2689 c. 953: 306 111 144 114 135 143 N SD: 0.1456 c. M:-0.2655 c. 960: 308 112 145 115 136 144 N SD: 0.1051 c. M: 0.1542 c. 1125: 361 131 170 135 159 169 N SD: 0.0860 c. M: 0.1307 c. 1159: 372 135 175 139 164 174 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 41.0000 cents 2 x x 3 x x 4 S SD: 22.7991 cents 3 x 4 x 5 x 6 S SD: 25.3323 cents 4:5 x 6 x 7:8 S SD: 12.6137 cents 5:6:7 x 8:9:10 S SD: 21.6106 cents 7:9 x 10:11:12:14 SD: 23.6608 cents 8:10:11:12:13:14:16 S SD: 11.6561 cents 12:15:16:18:19:21:23 SD: 8.5962 cents 17:21:23:25:27:30:33 SD: 5.3497 cents 21:26:28:31:34:37:41 SD: 3.0688 cents 33:41:44:49:53:58:64 SD: 3.0141 cents 38:47:51:56:61:67:74 SD: 2.2090 cents 46:57:62:68:74:81:90 SD: 2.1535 cents 50:62:67:74:80:88:98 SD: 1.9766 cents 58:72:78:86:93:102:113 SD: 1.9075 cents 62:77:83:92:100:110:121 SD: 1.8125 cents 64:79:86:95:103:113:125 SD: 1.5627 cents 68:84:91:101:109:120:133 SD: 1.4805 cents 79:98:106:117:127:140:154 SD: 1.2157 cents 89:110:119:132:143:157:174 SD: 1.2097 cents 91:113:122:135:146:161:178 SD: 0.9076 cents 112:139:150:166:180:198:219 SD: 0.5672 cents 150:186:201:222:241:265:293 SD: 0.5561 cents 168:208:225:249:270:297:328 SD: 0.5236 cents 170:211:228:252:273:300:332 SD: 0.5202 cents 176:218:236:261:283:311:344 SD: 0.4224 cents 188:233:252:279:302:332:367 SD: 0.3177 cents 300:372:402:445:482:530:586 SD: 0.1422 cents 514:637:689:762:826:908:1004 SD: 0.1321 cents