Scala analysis: xen18-erlich-liese-07
2L 5s MOS for Liese, L=440.01, s=64.52
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 64.520 cents 64.520000 2: 504.530 cents 504.530000 3: 569.050 cents 569.050000 4: 633.570 cents 633.570000 5: 698.090 cents 698.090000 6: 1138.100 cents 1138.100000 7: 1202.620 cents 1202.620000
SHOW/INTERVAL
0: 64.5200 cents 64.5200 1: 64.5200 cents 64.5200 2: 440.0100 cents 440.0100 3: 64.5200 cents 64.5200 4: 64.5200 cents 64.5200 5: 64.5200 cents 64.5200 6: 440.0100 cents 440.0100 7: 64.5200 cents 64.5200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 64.52000 cents 1: 2 440.01000 cents 2: 3 129.04000 cents 2: 4 504.53000 cents 3: 1 193.56000 cents 3: 6 569.05000 cents 4: 6 633.57000 cents 4: 1 1009.06000 cents 5: 4 698.09000 cents 5: 3 1073.58000 cents 6: 2 762.61000 cents 6: 5 1138.10000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 64.5 504.5 569.0 633.6 698.1 1138.1 1202.6 64.5 : 440.0 504.5 569.1 633.6 1073.6 1138.1 1202.6 504.5 : 64.5 129.0 193.6 633.6 698.1 762.6 1202.6 569.0 : 64.5 129.0 569.1 633.6 698.1 1138.1 1202.6 633.6 : 64.5 504.5 569.0 633.6 1073.6 1138.1 1202.6 698.1 : 440.0 504.5 569.0 1009.1 1073.6 1138.1 1202.6 1138.1: 64.5 129.0 569.1 633.6 698.1 762.6 1202.6 1202.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 64.5200 .. 440.0100 cents 375.49000 cents 64.52000 cents 2: 129.0400 .. 504.5300 cents 375.49000 cents -310.97000 cents 3: 193.5600 .. 569.0500 cents 375.49000 cents -310.97000 cents 4: 633.5700 .. 1009.0600 cents 375.49000 cents 64.52000 cents 5: 698.0900 .. 1073.5800 cents 375.49000 cents -310.97000 cents 6: 762.6100 .. 1138.1000 cents 375.49000 cents -310.97000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 64.52000 cents, class 1 Average step (divided formal octave): 171.8029 cents Largest one step interval : 440.01000 cents Average / Smallest step : 2.662785 Largest / Average step : 2.561133 Largest / Smallest step : 6.819746 Median interval of one step : 64.52000 cents, amount: 5 Most common interval of one step : 64.52000 cents, amount: 5 Least squares average step : 171.80286 cents, oct.: 1202.62000 cents Scale is not proper Scale has Myhill's property chromas: 375.49000 cents and 310.97000 cents, ratio: 1.207480 generators: 3 of 569.05000 cents and 4 of 633.57000 cents ET pair of linear temperament : 17&19 Scale is distributional even Scale is a mode of a 932-tone equal temperament with octave 1202.620 cents degrees: 50 391 441 491 541 882 932 generators: 441 and 491 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAAABA Step pattern size order : SLSSSLS Scale is a Constant Structure, by a margin of 64.52000 cents Scale diversity : 1.107507 Lumma stability : 0.160949 Lumma impropriety factor : 0.624453 Rothenberg efficiency : 0.761905 redundancy: 0.238095 Efficiency x scale size : 5.333333 Number of different interval sizes : 12 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 64.52000 cents Most common intervals : 569.05000 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 569.050 1138.100 cents Most common triad is 0.0 569.050 633.570 cents, amount: 5 Number of recognisable fifths : 4, average 698.0900 cents Number of recognisable fourths : 4, average 504.5300 cents Scale contains two identical disjunct "tetrachords" of 3 notes Formal octave complements present : 7 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties --
FIT/MODE
7: 0 3 0 1 0 3 0 N T3 I SD: 45.2251 c. M: 64.5200 c. 10: 1 3 1 0 1 3 1 N T3 I SD: 36.6422 c. M: 55.7420 c. 11: 1 4 0 1 0 4 1 N I SD: 34.9838 c. M:-44.8091 c. 12: 1 4 1 0 1 4 1 N T3 I SD: 25.7843 c. M:-35.6983 c. 14: 1 5 1 0 1 5 1 N T3 I SD: 21.4890 c. M: 32.2600 c. 15: 1 5 1 1 1 5 1 N M DE I SD: 15.6547 c. M: 23.4820 c. 17: 1 6 1 1 1 6 1 N M DE I SD: 6.2224 c. M: 9.3335 c. 19: 1 7 1 1 1 7 1 N M DE I SD: 1.2242 c. M: 1.8363 c. 55: 3 20 3 3 3 20 3 N M DE I SD: 1.0775 c. M: 1.6162 c. 74: 4 27 4 4 4 27 4 N M DE I SD: 0.4865 c. M: 0.7297 c. 93: 5 34 5 5 5 34 5 N M DE I SD: 0.1370 c. M: 0.2055 c. 112: 6 41 6 6 6 41 6 N M DE I SD: 0.0939 c. M: 0.1409 c. 205: 11 75 11 11 11 75 11 N M DE I SD: 0.0108 c. M: 0.0162 c. 727: 39 266 39 39 39 266 39 N M DE I SD: 0.0053 c. M: 0.0080 c. 932: 50 341 50 50 50 341 50 N M DE I SD: 0.0018 c. M: 0.0026 c. 1137: 61 416 61 61 61 416 61 N M DE I SD: 0.0005 c. M: 0.0008 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 2.6200 cents 2 x x x x 3 x 4 S SD: 2.3347 cents 3 x 4 x x 5 x 6 S SD: 62.1333 cents 4 x 5 x x 6 x 8 S SD: 39.4362 cents 5 x x 7 x x x 10 SD: 6.8574 cents 6:7:8 x x 9 x 12 S SD: 50.6272 cents 7:8:9 x 10 x x 14 SD: 45.3196 cents 8:9 x 11 x 12:15:16 SD: 29.8322 cents 9:10:12 x 13 x 17:18 SD: 24.7611 cents 10:11:13:14 x 15:19:20 SD: 19.4047 cents 11:12 x 15:16 x 21:22 SD: 19.0043 cents 12:13:16 x 17:18:23:24 SD: 13.5615 cents 13:14:17:18:19 x 25:26 SD: 13.2278 cents 14:15:19 x 20:21:27:28 SD: 10.3838 cents 15:16:20:21:22 x 29:30 SD: 9.6298 cents 16:17:21:22:23:24:31:32 SD: 8.0640 cents 17:18:23:24 x 25:33:34 SD: 9.6558 cents 18:19:24:25:26:27:35:36 SD: 4.7196 cents 23:24:31:32:33:34:44:46 SD: 4.5312 cents 24:25:32:33:35:36:46:48 SD: 4.3791 cents 26:27:35:36:37:39:50:52 SD: 3.8065 cents 29:30:39:40:42:43:56:58 SD: 3.4494 cents 30:31:40:42:43:45:58:60 SD: 2.9347 cents 44:46:59:61:63:66:85:88 SD: 2.6755 cents 47:49:63:65:68:70:91:94 SD: 2.3514 cents 48:50:64:67:69:72:93:96 SD: 2.2442 cents 52:54:70:72:75:78:100:104 SD: 1.9819 cents 54:56:72:75:78:81:104:108 SD: 1.3363 cents 74:77:99:103:107:111:143:148 SD: 1.2889 cents 77:80:103:107:111:115:149:154 SD: 0.9770 cents 100:104:134:139:144:150:193:200 SD: 0.9502 cents 113:117:151:157:163:169:218:226 SD: 0.8422 cents 127:132:170:176:183:190:245:254 SD: 0.8051 cents 129:134:173:179:186:193:249:258 SD: 0.7220 cents 131:136:175:182:189:196:253:262 SD: 0.6451 cents 157:163:210:218:226:235:303:314 SD: 0.5901 cents 159:165:213:221:229:238:307:318 SD: 0.5648 cents 183:190:245:254:264:274:353:367 SD: 0.4263 cents 213:221:285:296:307:319:411:427 SD: 0.3186 cents 242:251:324:336:349:362:467:485 SD: 0.3120 cents 260:270:348:361:375:389:502:521 SD: 0.2612 cents 290:301:388:403:418:434:560:581 SD: 0.2272 cents 316:328:423:439:456:473:610:633 SD: 0.2194 cents 342:355:458:475:493:512:660:685 SD: 0.1900 cents 396:411:530:550:571:593:764:793 SD: 0.1689 cents 473:491:633:657:682:708:913:947 SD: 0.1367 cents