Scala analysis: myna7opt
Lesfip version of 7-limit Myna[7]
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 267.316 cents 267.315900 2: 310.969 cents 310.968870 3: 579.175 cents 579.174750 4: 620.825 cents 620.825250 5: 889.031 cents 889.031130 6: 932.684 cents 932.684100 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 267.3159 cents 267.3159 1: 267.3159 cents 267.3159 2: 43.6530 cents 43.6530 3: 268.2059 cents 268.2059 4: 41.6505 cents 41.6505 5: 268.2059 cents 268.2059 6: 43.6530 cents 43.6530 7: 267.3159 cents 267.3159
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 41.65050 cents 1: 2 43.65297 cents 1: 2 267.31590 cents 1: 2 268.20588 cents 2: 2 309.85638 cents 2: 2 310.96887 cents 2: 2 311.85885 cents 2: 1 534.63180 cents 3: 2 353.50935 cents 3: 1 578.06226 cents 3: 2 578.28477 cents 3: 2 579.17475 cents 4: 2 620.82525 cents 4: 2 621.71523 cents 4: 1 621.93774 cents 4: 2 846.49065 cents 5: 1 665.36820 cents 5: 2 888.14115 cents 5: 2 889.03113 cents 5: 2 890.14362 cents 6: 2 931.79412 cents 6: 2 932.68410 cents 6: 2 1156.34703 cents 6: 1 1158.34950 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 267.3 311.0 579.2 620.8 889.0 932.7 1200.0 267.3 : 43.7 311.9 353.5 621.7 665.4 932.7 1200.0 311.0 : 268.2 309.9 578.1 621.7 889.0 1156.3 1200.0 579.2 : 41.7 309.9 353.5 620.8 888.1 931.8 1200.0 620.8 : 268.2 311.9 579.2 846.5 890.1 1158.3 1200.0 889.0 : 43.7 311.0 578.3 621.9 890.1 931.8 1200.0 932.7 : 267.3 534.6 578.3 846.5 888.1 1156.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 41.6505 .. 268.2059 cents 226.55538 cents 41.65050 cents 2: 309.8564 .. 534.6318 cents 224.77542 cents 41.65050 cents 3: 353.5094 .. 579.1748 cents 225.66540 cents -181.12245 cents 4: 620.8253 .. 846.4906 cents 225.66540 cents 41.65050 cents 5: 665.3682 .. 890.1436 cents 224.77542 cents -181.12245 cents 6: 931.7941 .. 1158.3495 cents 226.55538 cents 41.65050 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 41.65050 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 268.20588 cents Average / Smallest step : 4.115883 Largest / Average step : 1.564534 Largest / Smallest step : 6.439440 Median interval of one step : 267.31590 cents, amount: 2 Least squares average step : 168.22385 cents, oct.: 1177.56696 cents Scale is not proper Step pattern alph. order: ABCDCBA Step pattern size order : CBDADBC Scale is a Constant Structure, by a margin of 41.65050 cents Scale diversity : 1.064096 Lumma stability : 0.173544 Lumma impropriety factor : 0.301871 Rothenberg efficiency : 0.408163 redundancy: 0.591837 Efficiency x scale size : 2.857143 Number of different interval sizes : 24 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 0.22251 cents Number of recognisable fifths : 0 Formal octave complements present : 7 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties --
FIT/MODE
7: 2 0 1 1 1 0 2 N T3 I SD: 55.8926 c. M: 75.5412 c. 8: 2 0 2 0 2 0 2 N M DE I SD: 21.5291 c. M:-32.6841 c. 14: 3 1 3 0 3 1 3 N T3 I SD: 21.0716 c. M: 31.8883 c. 15: 3 1 3 1 3 1 3 N M DE I SD: 18.4808 c. M:-27.3159 c. Superkleismic-7 18: 4 1 4 0 4 1 4 N T3 I SD: 16.3382 c. M:-22.3645 c. 19: 4 1 4 1 4 1 4 N M DE I SD: 10.0642 c. M:-14.6843 c. Oljare Diminished 23: 5 1 5 1 5 1 5 N M DE I SD: 4.5840 c. M: 6.4463 c. Starlingtet-7 27: 6 1 6 1 6 1 6 N M DE I SD: 0.8269 c. M: 1.3970 c. Myna-7 85: 19 3 19 3 19 3 19 N M DE I SD: 0.5640 c. M:-0.9194 c. 112: 25 4 25 4 25 4 25 N M DE I SD: 0.4541 c. M: 0.6033 c. 139: 31 5 31 5 31 5 31 N M DE I SD: 0.4477 c. M: 0.7575 c. 251: 56 9 56 9 56 9 56 N M DE I SD: 0.4440 c. M: 0.6887 c. 435: 97 16 97 15 97 16 97 N T3 I SD: 0.4349 c. M: 0.7553 c. 462: 103 17 103 16 103 17 103 N T3 I SD: 0.4024 c. M:-0.7194 c. 489: 109 18 109 17 109 18 109 N T3 I SD: 0.3789 c. M:-0.6876 c. 493: 110 18 110 17 110 18 110 N T3 I SD: 0.3990 c. M:-0.5930 c. 516: 115 19 115 18 115 19 115 N T3 I SD: 0.3630 c. M:-0.6590 c. 520: 116 19 116 18 116 19 116 N T3 I SD: 0.3662 c. M:-0.5696 c. 543: 121 20 121 19 121 20 121 N T3 I SD: 0.3535 c. M:-0.6333 c. 547: 122 20 122 19 122 20 122 N T3 I SD: 0.3411 c. M: 0.5485 c. 574: 128 21 128 20 128 21 128 N T3 I SD: 0.3230 c. M:-0.5294 c. 578: 129 21 129 20 129 21 129 N T3 I SD: 0.3628 c. M:-0.5042 c. 597: 133 22 133 21 133 22 133 N T3 I SD: 0.3488 c. M:-0.5889 c. 601: 134 22 134 21 134 22 134 N T3 I SD: 0.3109 c. M:-0.5120 c. 605: 135 22 135 21 135 22 135 N T3 I SD: 0.3360 c. M:-0.4527 c. 628: 140 23 140 22 140 23 140 N T3 I SD: 0.3041 c. M:-0.4961 c. 632: 141 23 141 22 141 23 141 N T3 I SD: 0.3151 c. M: 0.4235 c. 655: 146 24 146 23 146 24 146 N T3 I SD: 0.3016 c. M:-0.4815 c. 659: 147 24 147 23 147 24 147 N T3 I SD: 0.2997 c. M:-0.4120 c. 686: 153 25 153 24 153 25 153 N T3 I SD: 0.2892 c. M:-0.4014 c. 713: 159 26 159 25 159 26 159 N T3 I SD: 0.2829 c. M:-0.3916 c. 740: 165 27 165 26 165 27 165 N T3 I SD: 0.2803 c. M:-0.3825 c. 764: 170 28 171 26 171 28 170 N I SD: 0.2704 c. M: 0.4064 c. 767: 171 28 171 27 171 28 171 N T3 I SD: 0.2808 c. M:-0.3740 c. 791: 176 29 177 27 177 29 176 N I SD: 0.2491 c. M:-0.3448 c. 818: 182 30 183 28 183 30 182 N I SD: 0.2319 c. M:-0.3232 c. 822: 183 30 184 28 184 30 183 N I SD: 0.2248 c. M: 0.3873 c. 825: 184 30 184 29 184 30 184 N T3 I SD: 0.2755 c. M:-0.3205 c. 826: 184 30 185 28 185 30 184 N I SD: 0.2628 c. M:-0.4863 c. 845: 188 31 189 29 189 31 188 N I SD: 0.2186 c. M:-0.3337 c. 849: 189 31 190 29 190 31 189 N I SD: 0.2009 c. M: 0.3306 c. 852: 190 31 190 30 190 31 190 N T3 I SD: 0.2747 c. M: 0.3015 c. 853: 190 31 191 29 191 31 190 N I SD: 0.2311 c. M: 0.4267 c. 872: 194 32 195 30 195 32 194 N I SD: 0.2091 c. M:-0.3434 c. 876: 195 32 196 30 196 32 195 N I SD: 0.1806 c. M: 0.2773 c. 903: 201 33 202 31 202 33 201 N I SD: 0.1641 c. M: 0.2272 c. 930: 207 34 208 32 208 34 207 N I SD: 0.1516 c. M:-0.2191 c. 957: 213 35 214 33 214 35 213 N I SD: 0.1433 c. M:-0.2313 c. 961: 214 35 215 33 215 35 214 N I SD: 0.1308 c. M: 0.2217 c. 988: 220 36 221 34 221 36 220 N I SD: 0.1133 c. M: 0.1775 c. 1015: 226 37 227 35 227 37 226 N I SD: 0.0997 c. M: 0.1356 c. 1042: 232 38 233 36 233 38 232 N I SD: 0.0908 c. M: 0.1374 c. 1069: 238 39 239 37 239 39 238 N I SD: 0.0871 c. M: 0.1503 c. 1073: 239 39 240 37 240 39 239 N I SD: 0.0817 c. M: 0.1356 c. 1100: 245 40 246 38 246 40 245 N I SD: 0.0655 c. M: 0.0980 c. 1127: 251 41 252 39 252 41 251 N I SD: 0.0540 c. M:-0.0622 c. 1154: 257 42 258 40 258 42 257 N I SD: 0.0491 c. M: 0.0715 c. 1212: 270 44 271 42 271 44 270 N I SD: 0.0456 c. M:-0.0778 c. 1239: 276 45 277 43 277 45 276 N I SD: 0.0391 c. M: 0.0730 c. 2393: 533 87 535 83 535 87 533 N I SD: 0.0392 c. M: 0.0621 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: 40.5649 cents 3 x x 4 x 5 x 6 S SD: 27.0881 cents 4 x 5 x 6 x 7:8 S SD: 29.1173 cents 5 x 6:7 x 8:9:10 S SD: 22.7331 cents 6:7 x 8:9:10 x 12 S SD: 22.9662 cents 7:8 x x 10 x 12:14 S SD: 9.0746 cents 8:9:10:11 x 13:14:16 SD: 19.8130 cents 9 x 11 x 13:15 x 18 SD: 9.9970 cents 10 x 12:14 x x 17:20 SD: 3.7927 cents 11 x 13:15:16:18:19:22 SD: 11.2332 cents 12:14 x x 17:20:21:24 SD: 8.1141 cents 13:15:16:18:19:22 x 26 SD: 11.5062 cents 14:16:17 x 20:23:24:28 SD: 8.8596 cents 15 x 18:21 x 25:26:30 SD: 4.1856 cents 16 x 19:22:23:27 x 32 SD: 7.1998 cents 17:20 x 24 x 28:29:34 SD: 6.9656 cents 18:21:22:25:26:30:31:36 SD: 6.0269 cents 19:22:23 x 27:32:33:38 SD: 6.3321 cents 20:23:24:28:29:33:34:40 SD: 6.1672 cents 21 x 25:29:30:35:36:42 SD: 3.8430 cents 22 x 26:31 x 37:38:44 SD: 6.2877 cents 23:27:28:32:33:38:39:46 SD: 6.0385 cents 24:28:29 x 34:40:41:48 SD: 4.2433 cents 25:29:30:35:36:42:43:50 SD: 2.7535 cents 27 x 32:38:39:45:46:54 SD: 4.7603 cents 28:33:34:39:40:47:48:56 SD: 4.5778 cents 30:35:36:42:43:50:51:60 SD: 2.2949 cents 33 x 39:46:47:55:57:66 SD: 4.6220 cents 34:40:41:48:49:57:58:68 SD: 4.3413 cents 35:41:42:49:50:58:60:70 SD: 2.4782 cents 42:49:50:59:60:70:72:84 SD: 2.0280 cents 55:64:66:77:79:92:94:110 SD: 1.5658 cents 60:70:72:84:86:100:103:120 SD: 1.1865 cents 88:103:105:123:126:147:151:176 SD: 1.0989 cents 91:106:109:127:130:152:156:182 SD: 0.7666 cents 121:141:145:169:173:202:207:242 SD: 0.7661 cents 133:155:159:186:190:222:228:266 SD: 0.7359 cents 137:160:164:191:196:229:235:274 SD: 0.6436 cents 143:167:171:200:205:239:245:286 SD: 0.5313 cents 167:195:200:233:239:279:286:334 SD: 0.4796 cents 174:203:208:243:249:291:298:348 SD: 0.4095 cents 204:238:244:285:292:341:350:408 SD: 0.3165 cents 209:244:250:292:299:349:358:418 SD: 0.3127 cents 234:273:280:327:335:391:401:468 SD: 0.1021 cents