Scala analysis: jubilismic10
Jubilismic[10] (50/49) hobbit minimax tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 101.955 cents 101.955000 2: 222.430 cents 222.430190 3: 377.570 cents 377.569810 4: 498.045 cents 498.045000 5: 600.000 cents 600.000000 6: 701.955 cents 701.955000 7: 822.430 cents 822.430190 8: 977.570 cents 977.569810 9: 1098.045 cents 1098.045000 10: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 101.9550 cents 101.9550 1: 101.9550 cents 101.9550 2: 120.4752 cents 120.4752 3: 155.1396 cents 155.1396 4: 120.4752 cents 120.4752 5: 101.9550 cents 101.9550 6: 101.9550 cents 101.9550 7: 120.4752 cents 120.4752 8: 155.1396 cents 155.1396 9: 120.4752 cents 120.4752 10: 101.9550 cents 101.9550
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 101.95500 cents 1: 4 120.47519 cents 1: 2 155.13962 cents 2: 2 203.91000 cents 2: 4 222.43019 cents 2: 4 275.61481 cents 3: 4 324.38519 cents 3: 4 377.56981 cents 3: 2 396.09000 cents 4: 2 444.86038 cents 4: 4 479.52481 cents 4: 4 498.04500 cents 5: 10 600.00000 cents 6: 4 701.95500 cents 6: 4 720.47519 cents 6: 2 755.13962 cents 7: 2 803.91000 cents 7: 4 822.43019 cents 7: 4 875.61481 cents 8: 4 924.38519 cents 8: 4 977.56981 cents 8: 2 996.09000 cents 9: 2 1044.86038 cents 9: 4 1079.52481 cents 9: 4 1098.04500 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 2.77778 = 25/9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 102.0 222.4 377.6 498.0 600.0 702.0 822.4 977.6 1098.0 1200.0 102.0 : 120.5 275.6 396.1 498.0 600.0 720.5 875.6 996.1 1098.0 1200.0 222.4 : 155.1 275.6 377.6 479.5 600.0 755.1 875.6 977.6 1079.5 1200.0 377.6 : 120.5 222.4 324.4 444.9 600.0 720.5 822.4 924.4 1044.9 1200.0 498.0 : 102.0 203.9 324.4 479.5 600.0 702.0 803.9 924.4 1079.5 1200.0 600.0 : 102.0 222.4 377.6 498.0 600.0 702.0 822.4 977.6 1098.0 1200.0 702.0 : 120.5 275.6 396.1 498.0 600.0 720.5 875.6 996.1 1098.0 1200.0 822.4 : 155.1 275.6 377.6 479.5 600.0 755.1 875.6 977.6 1079.5 1200.0 977.6 : 120.5 222.4 324.4 444.9 600.0 720.5 822.4 924.4 1044.9 1200.0 1098.0: 102.0 203.9 324.4 479.5 600.0 702.0 803.9 924.4 1079.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 101.9550 .. 155.1396 cents 53.18462 cents 101.95500 cents 2: 203.9100 .. 275.6148 cents 71.70481 cents 48.77038 cents 3: 324.3852 .. 396.0900 cents 71.70481 cents 48.77038 cents 4: 444.8604 .. 498.0450 cents 53.18462 cents 48.77038 cents 5: 600.0000 .. 600.0000 cents 1/1, 0.0000 cents 101.95500 cents 6: 701.9550 .. 755.1396 cents 53.18462 cents 101.95500 cents 7: 803.9100 .. 875.6148 cents 71.70481 cents 48.77038 cents 8: 924.3852 .. 996.0900 cents 71.70481 cents 48.77038 cents 9: 1044.8604 .. 1098.0450 cents 53.18462 cents 48.77038 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 101.95500 cents, class 1 Average step (divided formal octave): 120.0000 cents Largest one step interval : 155.13962 cents Average / Smallest step : 1.176990 Largest / Average step : 1.292830 Largest / Smallest step : 1.521648 Median interval of one step : 120.47519 cents, amount: 4 Least squares average step : 120.37249 cents, oct.: 1203.72493 cents Scale is strictly proper Scale has 2 repeating blocks of 5 notes Scale is 3-distributional even Step pattern alph. order: ABCBAABCBA Step pattern size order : SMLMSSMLMS Scale is a Constant Structure, by a margin of 48.77038 cents Scale diversity : 1.284952 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.583702 Rothenberg efficiency (ambiguous key): 0.312698 redundancy: 0.687302 Efficiency x scale size : 3.126984 Number of different interval sizes : 25 = 2.77778 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 2.77778 = 25/9 Median interval variety : 3 Lowest interval variety : 1 Smallest interval difference : 18.52019 cents Most common intervals : 600.00000 cents & inv., amount: 10 Number of recognisable fifths : 4, average 701.9550 cents Scale contains two identical disjunct pentachords Formal octave complements present : 10 = 100.0000% Limited transpositions : 5 Limited inverse transpositions : 5 Inversional symmetry on degrees : 0 5 Inversional symmetry on intervals : 2-3 7-8 -- Rational properties --
FIT/MODE
10: 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 15.9288 c. M:-18.0450 c. 12: 1 1 2 1 1 1 1 2 1 1 P B ME I SD: 14.2399 c. M:-22.4302 c. Symmetrical Decatonic 22: 2 2 3 2 2 2 2 3 2 2 SP B ME I SD: 5.2524 c. M:-7.1359 c. Static Symmetrical Major 38: 3 4 5 4 3 3 4 5 4 3 SP B D3 I SD: 4.6476 c. M: 7.2182 c. 48: 4 5 6 5 4 4 5 6 5 4 SP B D3 I SD: 2.0422 c. M:-2.5698 c. 60: 5 6 8 6 5 5 6 8 6 5 SP B D3 I SD: 1.9726 c. M:-2.4302 c. 70: 6 7 9 7 6 6 7 9 7 6 SP B D3 I SD: 0.6312 c. M: 0.9021 c. 130: 11 13 17 13 11 11 13 17 13 11 SP B D3 I SD: 0.6225 c. M:-0.8917 c. 178: 15 18 23 18 15 15 18 23 18 15 SP B D3 I SD: 0.5265 c. M: 0.8314 c. 200: 17 20 26 20 17 17 20 26 20 17 SP B D3 I SD: 0.2736 c. M:-0.4302 c. 248: 21 25 32 25 21 21 25 32 25 21 SP B D3 I SD: 0.2364 c. M: 0.3421 c. 270: 23 27 35 27 23 23 27 35 27 23 SP B D3 I SD: 0.2142 c. M:-0.2672 c. 318: 27 32 41 32 27 27 32 41 32 27 SP B D3 I SD: 0.1404 c. M:-0.2113 c. 448: 38 45 58 45 38 38 45 58 45 38 SP B D3 I SD: 0.1273 c. M: 0.1693 c. 518: 44 52 67 52 44 44 52 67 52 44 SP B D3 I SD: 0.0277 c. M:-0.0364 c. 1106: 94 111 143 111 94 94 111 143 111 94 SP B D3 I SD: 0.0221 c. M: 0.0342 c. 1624: 138 163 210 163 138 138 163 210 163 138 SP B D3 I SD: 0.0142 c. M:-0.0164 c. 1942: 165 195 251 195 165 165 195 251 195 165 SP B D3 I SD: 0.0133 c. M:-0.0209 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 3 x x x 4 S SD: 0.0000 cents 3 x x x 4 x x 5 x x 6 S SD: 20.6428 cents 4 x x 5 x x 6 x 7 x 8 S SD: 3.0914 cents 5 x x 6 x 7 x 8:9 x 10 S SD: 15.2572 cents 6 x 7 x 8 x 9:10 x 11:12 S SD: 15.0739 cents 7 x 8:9 x 10 x 11:12:13:14 S SD: 12.7409 cents 8 x 9:10 x 11:12:13:14:15:16 S SD: 7.1687 cents 9 x 10:11:12:13 x 14:16:17:18 S SD: 10.8344 cents 10 x 11:12:13:14:15:16:18:19:20 S SD: 11.7649 cents 12:13:14:15:16:17:18:19:21:23:24 SD: 7.0706 cents 15:16:17:19:20:21:23:24:26:28:30 SD: 6.2517 cents 16:17:18:20:21:23:24:26:28:30:32 SD: 4.9707 cents 20:21:23:25:27:28:30:32:35:38:40 SD: 4.3105 cents 28:30:32:35:37:40:42:45:49:53:56 SD: 3.3573 cents 29:31:33:36:39:41:44:47:51:55:58 SD: 3.3007 cents 30:32:34:37:40:42:45:48:53:57:60 SD: 3.0866 cents 34:36:39:42:45:48:51:55:60:64:68 SD: 2.6345 cents 36:38:41:45:48:51:54:58:63:68:72 SD: 1.6080 cents 66:70:75:82:88:93:99:106:116:124:132 SD: 0.9477 cents 82:87:93:102:109:116:123:132:144:155:164 SD: 0.8797 cents 94:100:107:117:125:133:141:151:165:177:188 SD: 0.8677 cents 102:108:116:127:136:144:153:164:179:192:204 SD: 0.6792 cents 130:138:148:162:173:184:195:209:229:245:260 SD: 0.6253 cents 132:140:150:164:176:187:198:212:232:249:264 SD: 0.4510 cents 184:195:209:229:245:260:276:296:324:347:368 SD: 0.4355 cents 196:208:223:244:261:277:294:315:345:370:392 SD: 0.4183 cents 198:210:225:246:264:280:297:318:348:373:396 SD: 0.3681 cents 210:223:239:261:280:297:315:338:369:396:420 SD: 0.3609 cents 234:248:266:291:312:331:351:376:412:441:468 SD: 0.2866 cents 270:286:307:336:360:382:405:434:475:509:540 SD: 0.2779 cents 278:295:316:346:371:393:417:447:489:524:556 SD: 0.2444 cents 312:331:355:388:416:441:468:502:549:588:624 SD: 0.2123 cents 348:369:396:433:464:492:522:560:612:656:696 SD: 0.2104 cents 378:401:430:470:504:535:567:608:665:713:756 SD: 0.1828 cents 394:418:448:490:525:557:591:634:693:743:788 SD: 0.1744 cents 444:471:505:552:592:628:666:714:781:837:888 SD: 0.0969 cents