Scala analysis: xen18-erlich-ripple-09
1L 8s MOS for Ripple, L=387.40, s=101.99
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 101.990 cents 101.990000 2: 203.980 cents 203.980000 3: 305.970 cents 305.970000 4: 407.960 cents 407.960000 5: 795.360 cents 795.360000 6: 897.350 cents 897.350000 7: 999.340 cents 999.340000 8: 1101.330 cents 1101.330000 9: 1203.320 cents 1203.320000
SHOW/INTERVAL
0: 101.9900 cents 101.9900 1: 101.9900 cents 101.9900 2: 101.9900 cents 101.9900 3: 101.9900 cents 101.9900 4: 101.9900 cents 101.9900 5: 387.4000 cents 387.4000 6: 101.9900 cents 101.9900 7: 101.9900 cents 101.9900 8: 101.9900 cents 101.9900 9: 101.9900 cents 101.9900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 8 101.99000 cents 1: 1 387.40000 cents 2: 7 203.98000 cents 2: 2 489.39000 cents 3: 6 305.97000 cents 3: 3 591.38000 cents 4: 5 407.96000 cents 4: 4 693.37000 cents 5: 4 509.95000 cents 5: 5 795.36000 cents 6: 3 611.94000 cents 6: 6 897.35000 cents 7: 2 713.93000 cents 7: 7 999.34000 cents 8: 1 815.92000 cents 8: 8 1101.33000 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 8 9 0.0 : 102.0 204.0 306.0 408.0 795.4 897.3 999.3 1101.3 1203.3 102.0 : 102.0 204.0 306.0 693.4 795.4 897.4 999.3 1101.3 1203.3 204.0 : 102.0 204.0 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 306.0 : 102.0 489.4 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 408.0 : 387.4 489.4 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 795.4 : 102.0 204.0 306.0 408.0 509.9 611.9 713.9 815.9 1203.3 897.3 : 102.0 204.0 306.0 408.0 510.0 611.9 713.9 1101.3 1203.3 999.3 : 102.0 204.0 306.0 408.0 510.0 611.9 999.3 1101.3 1203.3 1101.3: 102.0 204.0 306.0 408.0 510.0 897.3 999.3 1101.3 1203.3 1203.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 101.9900 .. 387.4000 cents 285.41000 cents 101.99000 cents 2: 203.9800 .. 489.3900 cents 285.41000 cents -183.42000 cents 3: 305.9700 .. 591.3800 cents 285.41000 cents -183.42000 cents 4: 407.9600 .. 693.3700 cents 285.41000 cents -183.42000 cents 5: 509.9500 .. 795.3600 cents 285.41000 cents -183.42000 cents 6: 611.9400 .. 897.3500 cents 285.41000 cents -183.42000 cents 7: 713.9300 .. 999.3400 cents 285.41000 cents -183.42000 cents 8: 815.9200 .. 1101.3300 cents 285.41000 cents -183.42000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 101.99000 cents, class 1 Average step (divided formal octave): 133.7022 cents Largest one step interval : 387.40000 cents Average / Smallest step : 1.310935 Largest / Average step : 2.897484 Largest / Smallest step : 3.798412 Median interval of one step : 101.99000 cents, amount: 8 Most common interval of one step : 101.99000 cents, amount: 8 Least squares average step : 137.04035 cents, oct.: 1233.36316 cents Scale is not proper Scale has Myhill's property chromas: 285.41000 cents and 183.42000 cents, ratio: 1.556046 generators: 1 of 101.99000 cents and 8 of 1101.33000 cents ET pair of linear temperament : 11&12 Scale is distributional even Scale is a mode of a 1345-tone equal temperament with octave 1203.320 cents degrees: 114 228 342 456 889 1003 1117 1231 1345 generators: 114 and 1231 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAABAAAA Step pattern size order : SSSSLSSSS Scale is a Constant Structure, by a margin of 20.56000 cents Scale diversity : 1.194215 Lumma stability : 0.169514 Lumma impropriety factor : 0.660971 Rothenberg efficiency : 0.740741 redundancy: 0.259259 Efficiency x scale size : 6.666667 Number of different interval sizes : 16 = 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 : 20.56000 cents Most common intervals : 101.99000 cents & inv., amount: 8 Scale is a chain of 4 triads 0.0 407.960 1101.330 cents Number of recognisable fifths : 6, average 700.2233 cents Number of recognisable fourths : 6, average 503.0967 cents Scale contains two identical disjunct pentachords Formal octave complements present : 9 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 4-5 -- Rational properties --
FIT/MODE
9: 1 1 0 1 3 1 0 1 1 N I SD: 38.1884 c. M: 63.4244 c. 10: 1 1 1 0 4 0 1 1 1 N I SD: 39.2021 c. M: 55.0260 c. 11: 1 1 1 1 3 1 1 1 1 N M DE I SD: 19.1138 c. M: 29.6109 c. 12: 1 1 1 1 4 1 1 1 1 N M DE I SD: 4.4238 c. M: 6.8533 c. 35: 3 3 3 3 11 3 3 3 3 N M DE I SD: 2.9737 c. M: 4.6069 c. 47: 4 4 4 4 15 4 4 4 4 N M DE I SD: 1.0850 c. M: 1.6809 c. 59: 5 5 5 5 19 5 5 5 5 N M DE I SD: 0.0354 c. M: 0.0549 c. 755: 64 64 64 64 243 64 64 64 64 N M DE I SD: 0.0343 c. M: 0.0531 c. 814: 69 69 69 69 262 69 69 69 69 N M DE I SD: 0.0292 c. M: 0.0453 c. 873: 74 74 74 74 281 74 74 74 74 N M DE I SD: 0.0249 c. M: 0.0385 c. 932: 79 79 79 79 300 79 79 79 79 N M DE I SD: 0.0211 c. M: 0.0326 c. 991: 84 84 84 84 319 84 84 84 84 N M DE I SD: 0.0177 c. M: 0.0274 c. 1050: 89 89 89 89 338 89 89 89 89 N M DE I SD: 0.0147 c. M:-0.0228 c. 1109: 94 94 94 94 357 94 94 94 94 N M DE I SD: 0.0120 c. M: 0.0186 c. 1168: 99 99 99 99 376 99 99 99 99 N M DE I SD: 0.0096 c. M: 0.0149 c. 1227: 104 104 104 104 395 104 104 104 104 N M DE I SD: 0.0075 c. M: 0.0116 c. 1286: 109 109 109 109 414 109 109 109 109 N M DE I SD: 0.0055 c. M:-0.0085 c. 1345: 114 114 114 114 433 114 114 114 114 N M DE I SD: 0.0037 c. M: 0.0057 c. 1404: 119 119 119 119 452 119 119 119 119 N M DE I SD: 0.0021 c. M: 0.0032 c. 1463: 124 124 124 124 471 124 124 124 124 N M DE I SD: 0.0005 c. M:-0.0008 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 3.3200 cents 2 x x x x 3 x x x 4 S SD: 46.7320 cents 3 x x x 4 x 5 x x 6 S SD: 30.3592 cents 4 x x x 5:6 x 7 x 8 S SD: 25.1684 cents 5 x x 6 x 8 x 9 x 10 S SD: 6.9539 cents 6 x x 7:8 x 10:11 x 12 S SD: 22.2046 cents 7 x 8 x 9:11:12 x 13:14 SD: 10.2873 cents 8 x 9 x 10:13 x 14:15:16 SD: 10.0297 cents 9 x 10:11 x 14:15:16:17:18 SD: 8.2064 cents 10 x 11:12:13:16:17:18:19:20 SD: 8.8238 cents 11:12 x 13:14:17:18:20:21:22 SD: 11.2457 cents 12:13 x 14:15:19:20:21:23:24 SD: 8.9014 cents 13:14:15 x 16:21:22:23:25:26 SD: 10.7882 cents 14:15:16:17:18:22:24:25:26:28 SD: 7.8912 cents 15:16:17:18:19:24:25:27:28:30 SD: 4.4886 cents 26:28:29:31:33:41:44:46:49:52 SD: 4.0528 cents 30:32:34:36:38:47:50:53:57:60 SD: 3.7779 cents 31:33:35:37:39:49:52:55:59:62 SD: 2.2734 cents 46:49:52:55:58:73:77:82:87:92 SD: 1.7319 cents 63:67:71:75:80:100:106:112:119:126 SD: 1.2781 cents 72:76:81:86:91:114:121:128:136:144 SD: 1.1274 cents 79:84:89:94:100:125:133:141:149:158 SD: 1.1195 cents 82:87:92:98:104:130:138:146:155:164 SD: 0.9613 cents 98:104:110:117:124:155:165:175:185:196 SD: 0.9574 cents 113:120:127:135:143:179:190:201:213:226 SD: 0.7782 cents 128:136:144:153:162:203:215:228:242:256 SD: 0.6978 cents 144:153:162:172:182:228:242:256:272:289 SD: 0.6811 cents 146:155:164:174:185:231:245:260:276:293 SD: 0.5978 cents 151:160:170:180:191:239:254:269:285:303 SD: 0.5754 cents 161:171:181:192:204:255:270:287:304:323 SD: 0.5509 cents 165:175:186:197:209:261:277:294:312:331 SD: 0.5344 cents 177:188:199:211:224:280:297:315:334:355 SD: 0.5243 cents 192:204:216:229:243:304:322:342:363:385 SD: 0.4663 cents 200:212:225:239:253:317:336:356:378:401 SD: 0.4396 cents 215:228:242:257:272:340:361:383:406:431 SD: 0.4311 cents 216:229:243:258:273:342:363:385:408:433 SD: 0.4116 cents 218:231:245:260:276:345:366:388:412:437 SD: 0.3577 cents 233:247:262:278:295:369:391:415:440:467 SD: 0.2330 cents 264:280:297:315:334:418:443:470:499:529 SD: 0.2113 cents 362:384:407:432:458:573:608:645:684:725 SD: 0.2050 cents 415:440:467:495:525:657:697:739:784:832 SD: 0.1953 cents 425:451:478:507:538:673:714:757:803:852 SD: 0.1820 cents 480:509:540:573:608:760:806:855:907:962 SD: 0.1757 cents 496:526:558:592:628:785:833:883:937:994 SD: 0.1415 cents 511:542:575:610:647:809:858:910:965:1024 SD: 0.1304 cents 576:611:648:687:729:912:967:1026:1088:1154 SD: 0.1230 cents