Scala analysis: xen18-erlich-catler-12
12L MOS for Catler, L=99.81
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 99.810 cents 99.810000 2: 199.620 cents 199.620000 3: 299.430 cents 299.430000 4: 399.240 cents 399.240000 5: 499.050 cents 499.050000 6: 598.860 cents 598.860000 7: 698.670 cents 698.670000 8: 798.480 cents 798.480000 9: 898.290 cents 898.290000 10: 998.100 cents 998.100000 11: 1097.910 cents 1097.910000 12: 1197.720 cents 1197.720000
SHOW/INTERVAL
0: 99.8100 cents 99.8100 1: 99.8100 cents 99.8100 2: 99.8100 cents 99.8100 3: 99.8100 cents 99.8100 4: 99.8100 cents 99.8100 5: 99.8100 cents 99.8100 6: 99.8100 cents 99.8100 7: 99.8100 cents 99.8100 8: 99.8100 cents 99.8100 9: 99.8100 cents 99.8100 10: 99.8100 cents 99.8100 11: 99.8100 cents 99.8100 12: 99.8100 cents 99.8100
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 12 99.81000 cents 2: 12 199.62000 cents 3: 12 299.43000 cents 4: 12 399.24000 cents 5: 12 499.05000 cents 6: 12 598.86000 cents 7: 12 698.67000 cents 8: 12 798.48000 cents 9: 12 898.29000 cents 10: 12 998.10000 cents 11: 12 1097.91000 cents Only one interval per interval class, scale is equal tempered Average number of different intervals per interval class: 1.00000 = 1
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 99.8 199.6 299.4 399.2 499.1 598.9 698.7 798.5 898.3 998.1 1097.9 1197.7 99.8 : 99.8 199.6 299.4 399.2 499.1 598.9 698.7 798.5 898.3 998.1 1097.9 1197.7 199.6 : 99.8 199.6 299.4 399.2 499.1 598.9 698.7 798.5 898.3 998.1 1097.9 1197.7 299.4 : 99.8 199.6 299.4 399.2 499.1 598.9 698.7 798.5 898.3 998.1 1097.9 1197.7 399.2 : 99.8 199.6 299.4 399.2 499.1 598.9 698.7 798.5 898.3 998.1 1097.9 1197.7 499.1 : 99.8 199.6 299.4 399.2 499.0 598.9 698.7 798.5 898.3 998.1 1097.9 1197.7 598.9 : 99.8 199.6 299.4 399.2 499.1 598.9 698.7 798.5 898.3 998.1 1097.9 1197.7 698.7 : 99.8 199.6 299.4 399.2 499.1 598.9 698.7 798.5 898.3 998.1 1097.9 1197.7 798.5 : 99.8 199.6 299.4 399.2 499.1 598.9 698.7 798.5 898.3 998.1 1097.9 1197.7 898.3 : 99.8 199.6 299.4 399.2 499.1 598.9 698.7 798.5 898.3 998.1 1097.9 1197.7 998.1 : 99.8 199.6 299.4 399.2 499.1 598.9 698.7 798.5 898.3 998.1 1097.9 1197.7 1097.9: 99.8 199.6 299.4 399.2 499.0 598.9 698.7 798.5 898.3 998.1 1097.9 1197.7 1197.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 99.8100 .. 99.8100 cents 1/1, 0.0000 cents 99.81000 cents 2: 199.6200 .. 199.6200 cents 1/1, 0.0000 cents 99.81000 cents 3: 299.4300 .. 299.4300 cents 1/1, 0.0000 cents 99.81000 cents 4: 399.2400 .. 399.2400 cents 1/1, 0.0000 cents 99.81000 cents 5: 499.0500 .. 499.0500 cents 1/1, 0.0000 cents 99.81000 cents 6: 598.8600 .. 598.8600 cents 1/1, 0.0000 cents 99.81000 cents 7: 698.6700 .. 698.6700 cents 1/1, 0.0000 cents 99.81000 cents 8: 798.4800 .. 798.4800 cents 1/1, 0.0000 cents 99.81000 cents 9: 898.2900 .. 898.2900 cents 1/1, 0.0000 cents 99.81000 cents 10: 998.1000 .. 998.1000 cents 1/1, 0.0000 cents 99.81000 cents 11: 1097.9100 .. 1097.9100 cents 1/1, 0.0000 cents 99.81000 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 99.81000 cents, class 1 Average step (divided formal octave): 99.8100 cents Largest one step interval : 99.81000 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 99.81000 cents, amount: 12 Most common interval of one step : 99.81000 cents, amount: 12 Least squares average step : 99.81000 cents, oct.: 1197.72000 cents Scale is strictly proper Scale is equal tempered Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a Constant Structure, by a margin of 99.81000 cents Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.083333 redundancy: 0.916667 Efficiency x scale size : 1.000000 Number of different interval sizes : 11 = 1.00000 / class Number of one step interval sizes : 1 Mean interval variety : 1.00000 = 1 Lowest interval variety : 1 Number of recognisable fifths : 12, average 698.6700 cents Number of recognisable fourths : 12, average 499.0500 cents Scale contains two identical disjunct hexachords Best fifths form a closed circle Limited transpositions : all Inversional symmetry on degrees : all Inversional symmetry on intervals : all -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 0.0000 c. M: 0.0000 c. Twelve-tone Chromatic (1/11-comma)
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 2.2800 cents 2 x x x x x x 3 x x x x 4 S SD: 1.9994 cents 3 x x x x 4 x x x 5 x x 6 S SD: 4.7175 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 8.0625 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 6.7723 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 10.0388 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 9.8860 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 8.9962 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 8.1382 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 7.0404 cents 11 x 12:13:14:15:16 x 17:18:20:21:22 S SD: 11.2634 cents 12:13 x 14:15:16:17:18:19:20:21:23:24 SD: 6.1862 cents 13:14:15 x 16:17:18:19:21:22:23:25:26 SD: 9.6855 cents 14:15:16:17:18:19:20:21:22:24:25:26:28 S SD: 7.1893 cents 15:16:17:18:19:20:21:22:24:25:27:28:30 SD: 4.8913 cents 22:23:25:26:28:29:31:33:35:37:39:41:44 SD: 4.0756 cents 24:25:27:29:30:32:34:36:38:40:43:45:48 SD: 3.9882 cents 26:28:29:31:33:35:37:39:41:44:46:49:52 SD: 3.6282 cents 27:29:30:32:34:36:38:40:43:45:48:51:54 SD: 3.2760 cents 31:33:35:37:39:41:44:46:49:52:55:58:62 SD: 2.6442 cents 32:34:36:38:40:43:45:48:51:54:57:60:64 SD: 2.1809 cents 46:49:52:55:58:61:65:69:73:77:82:87:92 SD: 1.9670 cents 48:51:54:57:60:64:68:72:76:81:85:91:96 SD: 1.8313 cents 50:53:56:59:63:67:71:75:79:84:89:94:100 SD: 1.6452 cents 51:54:57:61:64:68:72:76:81:86:91:96:102 SD: 1.5529 cents 63:67:71:75:79:84:89:94:100:106:112:119:126 SD: 1.2481 cents 65:69:73:77:82:87:92:97:103:109:116:123:130 SD: 1.2082 cents 68:72:76:81:86:91:96:102:108:114:121:128:136 SD: 1.1566 cents 80:85:90:95:101:107:113:120:127:134:142:151:160 SD: 1.0531 cents 84:89:94:100:106:112:119:126:133:141:150:158:168 SD: 0.9756 cents 90:95:101:107:113:120:127:135:143:151:160:170:180 SD: 0.9122 cents 96:102:108:114:121:128:136:144:152:161:171:181:192 SD: 0.8542 cents 99:105:111:118:125:132:140:148:157:166:176:187:198 SD: 0.7764 cents 104:110:117:124:131:139:147:156:165:175:185:196:208 SD: 0.7748 cents 116:123:130:138:146:155:164:174:184:195:206:219:232 SD: 0.6213 cents 123:130:138:146:155:164:174:184:195:207:219:232:246 SD: 0.5580 cents 131:139:147:156:165:175:185:196:208:220:233:247:262 SD: 0.4990 cents 147:156:165:175:185:196:208:220:233:247:262:277:294 SD: 0.4974 cents 155:164:174:184:195:207:219:232:246:260:276:292:310 SD: 0.4931 cents 165:175:185:196:208:220:233:247:262:277:294:311:330 SD: 0.4547 cents 201:213:226:239:253:268:284:301:319:338:358:379:401 SD: 0.3993 cents 203:215:228:241:256:271:287:304:322:341:361:383:405 SD: 0.3980 cents 213:226:239:253:268:284:301:319:338:358:379:402:425 SD: 0.3848 cents 237:251:266:282:298:316:335:355:376:398:422:447:473 SD: 0.3290 cents 254:269:285:302:320:339:359:380:403:427:452:479:507 SD: 0.2006 cents 350:371:393:416:441:467:495:524:555:588:623:660:699 SD: 0.1824 cents 401:425:450:477:505:535:567:600:636:674:714:756:801 SD: 0.1771 cents 435:461:488:517:548:580:615:651:690:731:774:820:869 SD: 0.1640 cents 440:466:494:523:554:587:622:659:698:739:783:830:879 SD: 0.1444 cents 491:520:551:584:618:655:694:735:779:825:874:926:981 SD: 0.1420 cents 509:539:571:605:641:679:719:762:807:855:906:960:1017 SD: 0.1410 cents 539:571:605:641:679:719:762:807:855:906:959:1016:1077 SD: 0.1404 cents 541:573:607:643:681:722:765:810:858:909:963:1020:1081 SD: 0.1391 cents