Scala analysis: mif7
Lesfip scale derived from michael7
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 117.471 cents 117.471110 2: 231.349 cents 231.349360 3: 500.017 cents 500.016700 4: 616.874 cents 616.874390 5: 701.079 cents 701.078690 6: 932.472 cents 932.471860 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 267.5281 cents 267.5281 1: 117.4711 cents 117.4711 2: 113.8783 cents 113.8783 3: 268.6673 cents 268.6673 4: 116.8577 cents 116.8577 5: 84.2043 cents 84.2043 6: 231.3932 cents 231.3932 7: 267.5281 cents 267.5281
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 84.20430 cents 1: 1 113.87825 cents 1: 1 116.85769 cents 1: 1 117.47111 cents 1: 1 231.39317 cents 1: 1 267.52814 cents 1: 1 268.66734 cents 2: 1 201.06199 cents 2: 1 231.34936 cents 2: 1 315.59747 cents 2: 1 382.54559 cents 2: 1 384.99925 cents 2: 1 385.52503 cents 2: 1 498.92131 cents 3: 1 432.45516 cents 3: 1 469.72933 cents 3: 1 498.87750 cents 3: 1 499.40328 cents 3: 1 500.01670 cents 3: 1 583.12561 cents 3: 1 616.39242 cents 4: 1 583.60758 cents 4: 1 616.87439 cents 4: 1 699.98330 cents 4: 1 700.59672 cents 4: 1 701.12250 cents 4: 1 730.27067 cents 4: 1 767.54484 cents 5: 1 701.07869 cents 5: 1 814.47497 cents 5: 1 815.00075 cents 5: 1 817.45441 cents 5: 1 884.40253 cents 5: 1 968.65064 cents 5: 1 998.93801 cents 6: 1 931.33266 cents 6: 1 932.47186 cents 6: 1 968.60683 cents 6: 1 1082.52889 cents 6: 1 1083.14231 cents 6: 1 1086.12175 cents 6: 1 1115.79570 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 : 117.5 231.3 500.0 616.9 701.1 932.5 1200.0 117.5 : 113.9 382.5 499.4 583.6 815.0 1082.5 1200.0 231.3 : 268.7 385.5 469.7 701.1 968.7 1086.1 1200.0 500.0 : 116.9 201.1 432.5 700.0 817.5 931.3 1200.0 616.9 : 84.2 315.6 583.1 700.6 814.5 1083.1 1200.0 701.1 : 231.4 498.9 616.4 730.3 998.9 1115.8 1200.0 932.5 : 267.5 385.0 498.9 767.5 884.4 968.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 84.2043 .. 268.6673 cents 184.46304 cents 84.20430 cents 2: 201.0620 .. 498.9213 cents 297.85932 cents -67.60535 cents 3: 432.4552 .. 616.3924 cents 183.93726 cents -66.46615 cents 4: 583.6076 .. 767.5448 cents 183.93726 cents -32.78484 cents 5: 701.0787 .. 998.9380 cents 297.85932 cents -66.46615 cents 6: 931.3327 .. 1115.7957 cents 184.46304 cents -67.60535 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 84.20430 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 268.66734 cents Average / Smallest step : 2.035865 Largest / Average step : 1.567226 Largest / Smallest step : 3.190661 Median interval of one step : 117.47111 cents, amount: 1 Least squares average step : 157.48530 cents, oct.: 1102.39711 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : DBGCAEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.04381 cents Scale diversity : 1.542803 Lumma stability : 0.140341 Lumma impropriety factor : 0.250773 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 : 0.04381 cents Number of recognisable fifths : 4, average 700.6953 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 0 1 2 0 1 1 2 N T3 SD: 69.7224 c. M: 117.4711 c. 8: 0 1 2 1 0 2 2 N S SD: 70.1783 c. M: 117.4711 c. 9: 1 1 2 1 0 2 2 N SD: 29.9359 c. M:-49.7923 c. 10: 1 1 2 1 1 2 2 P D3 S SD: 16.3989 c. M:-27.5281 c. 12: 1 1 3 1 1 2 3 N SD: 19.3773 c. M: 32.4719 c. Chromatic Hypophrygian inverse 14: 1 2 3 1 1 3 3 N SD: 18.9211 c. M: 31.7568 c. 17: 2 1 4 2 1 3 4 N SD: 14.9401 c. M:-23.7054 c. 19: 2 2 4 2 1 4 4 N SD: 12.1716 c. M:-21.2822 c. 21: 2 2 5 2 1 4 5 N SD: 11.4959 c. M: 18.1861 c. 22: 2 2 5 2 2 4 5 N SD: 10.0181 c. M: 16.8744 c. 27: 3 2 6 3 2 5 6 N SD: 9.1709 c. M:-15.8622 c. 31: 3 3 7 3 2 6 7 N SD: 2.6575 c. M: 4.3045 c. 41: 4 4 9 4 3 8 9 N SD: 2.3239 c. M:-4.1135 c. 72: 7 7 16 7 5 14 16 N SD: 0.9660 c. M:-1.9840 c. 161: 16 15 36 16 11 31 36 N SD: 1.0426 c. M:-1.7835 c. 175: 17 17 39 17 12 34 39 N SD: 1.0099 c. M:-1.7935 c. 197: 19 19 44 19 14 38 44 N SD: 0.9694 c. M: 1.7351 c. 202: 20 19 45 20 14 39 45 N SD: 0.7434 c. M:-1.3408 c. 233: 23 22 52 23 16 45 52 N SD: 0.6722 c. M:-1.1514 c. 255: 25 24 57 25 18 49 57 N SD: 0.6218 c. M: 1.1932 c. 274: 27 26 61 27 19 53 61 N SD: 0.5888 c. M:-0.7771 c. 286: 28 27 64 28 20 55 64 N SD: 0.5356 c. M: 1.0033 c. 327: 32 31 73 32 23 63 73 N SD: 0.4116 c. M: 0.9341 c. 358: 35 34 80 35 25 69 80 N SD: 0.3849 c. M: 0.6283 c. 399: 39 38 89 39 28 77 89 N SD: 0.3611 c. M: 0.7686 c. 430: 42 41 96 42 30 83 96 N SD: 0.3616 c. M: 0.6136 c. 591: 58 56 132 58 41 114 132 N SD: 0.3952 c. M: 0.5711 c. 592: 58 56 133 57 42 114 132 N SD: 0.3826 c. M:-0.6590 c. 601: 59 57 134 59 42 116 134 N SD: 0.3726 c. M: 0.8486 c. 623: 61 59 140 60 44 120 139 N SD: 0.3703 c. M:-0.7859 c. 632: 62 60 141 62 44 122 141 N SD: 0.3494 c. M: 0.6496 c. 664: 65 63 149 64 47 128 148 N SD: 0.3239 c. M: 0.6093 c. 685: 67 65 153 67 48 132 153 N SD: 0.3790 c. M: 0.7466 c. 686: 67 65 154 67 48 132 153 N SD: 0.3556 c. M:-0.6183 c. 695: 68 66 156 67 49 134 155 N SD: 0.3240 c. M:-0.7027 c. 712: 70 67 160 69 50 137 159 N SD: 0.3705 c. M:-0.5451 c. 722: 71 68 162 70 51 139 161 N SD: 0.2978 c. M:-0.5344 c. 727: 71 69 163 71 51 140 162 N SD: 0.2865 c. M:-0.4571 c. 753: 74 71 169 73 53 145 168 N SD: 0.2682 c. M:-0.4572 c. 794: 78 75 178 77 56 153 177 N SD: 0.2186 c. M:-0.4130 c. 799: 78 76 179 78 56 154 178 N SD: 0.2405 c. M:-0.3972 c. 825: 81 78 185 80 58 159 184 N SD: 0.2001 c. M:-0.3471 c. 866: 85 82 194 84 61 167 193 N SD: 0.1779 c. M:-0.3118 c. 897: 88 85 201 87 63 173 200 N SD: 0.1705 c. M:-0.3177 c. 938: 92 89 210 91 66 181 209 N SD: 0.1751 c. M: 0.2433 c. 1085: 106 103 243 106 76 209 242 N SD: 0.1722 c. M:-0.2685 c. 1121: 110 106 251 109 79 216 250 N SD: 0.1693 c. M: 0.2821 c. 1126: 110 107 252 110 79 217 251 N SD: 0.1529 c. M: 0.2420 c. 1152: 113 109 258 112 81 222 257 N SD: 0.1431 c. M:-0.2372 c. 1193: 117 113 267 116 84 230 266 N SD: 0.1387 c. M: 0.2776 c. 1224: 120 116 274 119 86 236 273 N SD: 0.1188 c. M: 0.2077 c. 1255: 123 119 281 122 88 242 280 N SD: 0.1344 c. M: 0.2022 c. 1265: 124 120 283 123 89 244 282 N SD: 0.1334 c. M: 0.2736 c. 1296: 127 123 290 126 91 250 289 N SD: 0.1214 c. M: 0.2077 c. 1624: 159 154 364 158 114 313 362 N SD: 0.1179 c. M:-0.2296 c. 1665: 163 158 373 162 117 321 371 N SD: 0.1094 c. M:-0.1826 c. 1696: 166 161 380 165 119 327 378 N SD: 0.1041 c. M:-0.2191 c. 1737: 170 165 389 169 122 335 387 N SD: 0.1075 c. M:-0.1706 c. 1749: 171 166 392 170 123 337 390 N SD: 0.1101 c. M:-0.1548 c. 1768: 173 168 396 172 124 341 394 N SD: 0.1064 c. M:-0.2095 c. 1790: 175 170 401 174 126 345 399 N SD: 0.1028 c. M: 0.1527 c. 1821: 178 173 408 177 128 351 406 N SD: 0.0963 c. M: 0.1729 c. 1879: 184 178 421 183 132 362 419 N SD: 0.0899 c. M: 0.1626 c. 1898: 186 180 425 185 133 366 423 N SD: 0.1065 c. M:-0.1962 c. 1910: 187 181 428 186 134 368 426 N SD: 0.0892 c. M: 0.1452 c. 1920: 188 182 430 187 135 370 428 N SD: 0.0766 c. M:-0.1713 c. 1951: 191 185 437 190 137 376 435 N SD: 0.0542 c. M:-0.1002 c. 1982: 194 188 444 193 139 382 442 N SD: 0.0603 c. M:-0.0842 c. 1992: 195 189 446 194 140 384 444 N SD: 0.0537 c. M:-0.1261 c. 2023: 198 192 453 197 142 390 451 N SD: 0.0293 c. M:-0.0582 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x 4 S SD: 0.4382 cents 3 x x 4 x x 5:6 S SD: 16.0512 cents 4 x x 5 x 6:7:8 S SD: 29.8441 cents 5 x 6 x 7:8:9:10 S SD: 33.5932 cents 6 x 7:8 x 9:10:12 S SD: 11.9688 cents 7 x 8:9:10:11:12:14 S SD: 17.3567 cents 8 x 9:11 x 12:14:16 SD: 13.7217 cents 9 x 10:12:13:14:15:18 S SD: 15.9682 cents 10:11 x 13:14:15:17:20 SD: 12.6162 cents 11:12:13:15:16 x 19:22 SD: 13.9563 cents 12:13:14:16:17:18:21:24 S SD: 8.1138 cents 13:14:15:17:19 x 22:26 SD: 10.1810 cents 14:15:16:19:20:21:24:28 SD: 4.1094 cents 28:30:32:37:40:42:48:56 SD: 2.5221 cents 42:45:48:56:60:63:72:84 S SD: 0.4376 cents 140:150:160:187:200:210:240:280 SD: 0.3709 cents 182:195:208:243:260:273:312:364 SD: 0.3398 cents 224:240:256:299:320:336:384:448 SD: 0.3349 cents 245:262:280:327:350:367:420:490 SD: 0.3143 cents 287:307:328:383:410:430:492:574 SD: 0.2499 cents 329:352:376:439:470:493:564:658 SD: 0.2156 cents 343:367:392:458:490:514:588:686 SD: 0.1990 cents 385:412:440:514:550:577:660:770 SD: 0.1641 cents 427:457:488:570:610:640:732:854 SD: 0.1481 cents 469:502:536:626:670:703:804:938 SD: 0.1459 cents 573:613:655:765:818:859:982:1146 SD: 0.1387 cents