Scala analysis: xen18-erlich-ripple-10
1L 9s MOS for Ripple, L=285.41, 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: 693.370 cents 693.370000 6: 795.360 cents 795.360000 7: 897.350 cents 897.350000 8: 999.340 cents 999.340000 9: 1101.330 cents 1101.330000 10: 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: 285.4100 cents 285.4100 6: 101.9900 cents 101.9900 7: 101.9900 cents 101.9900 8: 101.9900 cents 101.9900 9: 101.9900 cents 101.9900 10: 101.9900 cents 101.9900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 9 101.99000 cents 1: 1 285.41000 cents 2: 8 203.98000 cents 2: 2 387.40000 cents 3: 7 305.97000 cents 3: 3 489.39000 cents 4: 6 407.96000 cents 4: 4 591.38000 cents 5: 5 509.95000 cents 5: 5 693.37000 cents 6: 4 611.94000 cents 6: 6 795.36000 cents 7: 3 713.93000 cents 7: 7 897.35000 cents 8: 2 815.92000 cents 8: 8 999.34000 cents 9: 1 917.91000 cents 9: 9 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 10 0.0 : 102.0 204.0 306.0 408.0 693.4 795.4 897.3 999.3 1101.3 1203.3 102.0 : 102.0 204.0 306.0 591.4 693.4 795.4 897.4 999.3 1101.3 1203.3 204.0 : 102.0 204.0 489.4 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 306.0 : 102.0 387.4 489.4 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 408.0 : 285.4 387.4 489.4 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3 693.4 : 102.0 204.0 306.0 408.0 510.0 611.9 713.9 815.9 917.9 1203.3 795.4 : 102.0 204.0 306.0 408.0 509.9 611.9 713.9 815.9 1101.3 1203.3 897.3 : 102.0 204.0 306.0 408.0 510.0 611.9 713.9 999.3 1101.3 1203.3 999.3 : 102.0 204.0 306.0 408.0 510.0 611.9 897.3 999.3 1101.3 1203.3 1101.3: 102.0 204.0 306.0 408.0 510.0 795.4 897.3 999.3 1101.3 1203.3 1203.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 101.9900 .. 285.4100 cents 183.42000 cents 101.99000 cents 2: 203.9800 .. 387.4000 cents 183.42000 cents -81.43000 cents 3: 305.9700 .. 489.3900 cents 183.42000 cents -81.43000 cents 4: 407.9600 .. 591.3800 cents 183.42000 cents -81.43000 cents 5: 509.9500 .. 693.3700 cents 183.42000 cents -81.43000 cents 6: 611.9400 .. 795.3600 cents 183.42000 cents -81.43000 cents 7: 713.9300 .. 897.3500 cents 183.42000 cents -81.43000 cents 8: 815.9200 .. 999.3400 cents 183.42000 cents -81.43000 cents 9: 917.9100 .. 1101.3300 cents 183.42000 cents -81.43000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 101.99000 cents, class 1 Average step (divided formal octave): 120.3320 cents Largest one step interval : 285.41000 cents Average / Smallest step : 1.179841 Largest / Average step : 2.371855 Largest / Smallest step : 2.798412 Median interval of one step : 101.99000 cents, amount: 9 Most common interval of one step : 101.99000 cents, amount: 9 Least squares average step : 123.42870 cents, oct.: 1234.28701 cents Scale is not proper Scale has Myhill's property chromas: 183.42000 cents and 81.43000 cents, ratio: 2.252487 generators: 1 of 101.99000 cents and 9 of 1101.33000 cents ET pair of linear temperament : 11&12 Scale is distributional even Scale is a mode of a 1404-tone equal temperament with octave 1203.320 cents degrees: 119 238 357 476 809 928 1047 1166 1285 1404 generators: 119 and 1285 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAABAAAAA Step pattern size order : SSSSLSSSSS Scale is a Constant Structure, by a margin of 20.56000 cents Scale diversity : 1.168192 Lumma stability : 0.169514 Lumma impropriety factor : 0.541369 Rothenberg efficiency : 0.733333 redundancy: 0.266667 Efficiency x scale size : 7.333333 Number of different interval sizes : 18 = 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: 9 Scale is a chain of 5 triads 0.0 407.960 1101.330 cents Number of recognisable fifths : 8, average 701.0800 cents Number of recognisable fourths : 8, average 502.2400 cents Scale contains two identical disjunct pentachords Formal octave complements present : 9 = 90.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 9 Inversional symmetry on intervals : 4-5 9-10 -- Rational properties --
FIT/MODE
10: 0 1 1 1 2 1 1 1 1 1 N T3 SD: 65.0946 c. M: 101.9900 c. 11: 1 1 1 1 2 1 1 1 1 1 P M ME SD: 21.5825 c. M: 37.0136 c. 12: 1 1 1 1 3 1 1 1 1 1 N M DE SD: 4.9952 c. M:-8.5667 c. 35: 3 3 3 3 8 3 3 3 3 3 N M DE SD: 3.3578 c. M: 5.7586 c. 47: 4 4 4 4 11 4 4 4 4 4 N M DE SD: 1.2251 c. M: 2.1011 c. 59: 5 5 5 5 14 5 5 5 5 5 N M DE SD: 0.0400 c. M:-0.0686 c. 755: 64 64 64 64 179 64 64 64 64 64 N M DE SD: 0.0387 c. M: 0.0664 c. 814: 69 69 69 69 193 69 69 69 69 69 N M DE SD: 0.0330 c. M: 0.0566 c. 873: 74 74 74 74 207 74 74 74 74 74 N M DE SD: 0.0281 c. M: 0.0482 c. 932: 79 79 79 79 221 79 79 79 79 79 N M DE SD: 0.0238 c. M: 0.0408 c. 991: 84 84 84 84 235 84 84 84 84 84 N M DE SD: 0.0200 c. M: 0.0343 c. 1050: 89 89 89 89 249 89 89 89 89 89 N M DE SD: 0.0166 c. M: 0.0285 c. 1109: 94 94 94 94 263 94 94 94 94 94 N M DE SD: 0.0136 c. M: 0.0233 c. 1168: 99 99 99 99 277 99 99 99 99 99 N M DE SD: 0.0109 c. M: 0.0187 c. 1227: 104 104 104 104 291 104 104 104 104 104 N M DE SD: 0.0084 c. M: 0.0145 c. 1286: 109 109 109 109 305 109 109 109 109 109 N M DE SD: 0.0062 c. M: 0.0107 c. 1345: 114 114 114 114 319 114 114 114 114 114 N M DE SD: 0.0042 c. M: 0.0072 c. 1404: 119 119 119 119 333 119 119 119 119 119 N M DE SD: 0.0023 c. M: 0.0040 c. 1463: 124 124 124 124 347 124 124 124 124 124 N M DE SD: 0.0006 c. M: 0.0011 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 3.3200 cents 2 x x x x 3 x x x x 4 S SD: 4.6023 cents 3 x x x 4 x x 5 x x 6 S SD: 30.3592 cents 4 x x x 5:6 x x 7 x 8 S SD: 9.6320 cents 5 x x 6 x 7:8 x 9 x 10 S SD: 22.8588 cents 6 x x 7:8:9 x 10:11 x 12 S SD: 18.5591 cents 7 x 8 x 9:10:11:12 x 13:14 S SD: 13.9737 cents 8 x 9 x 10:12:13 x 14:15:16 S SD: 8.6839 cents 9 x 10:11 x 13:14:15:16:17:18 SD: 10.0939 cents 10 x 11:12:13:15:16:17:18:19:20 SD: 7.9011 cents 11:12 x 13:14:16:17:18:20:21:22 S SD: 11.1615 cents 12:13 x 14:15:18:19:20:21:23:24 SD: 7.9696 cents 13:14:15 x 16:19:21:22:23:25:26 SD: 10.4068 cents 14:15:16:17:18:21:22:24:25:26:28 S SD: 7.1538 cents 15:16:17:18:19:22:24:25:27:28:30 SD: 5.0511 cents 16:17:18:19:20:24:25:27:29:30:32 SD: 4.8039 cents 22:23:25:26:28:33:35:37:39:42:44 SD: 4.3107 cents 26:28:29:31:33:39:41:44:46:49:52 SD: 3.7472 cents 30:32:34:36:38:45:47:50:53:57:60 SD: 3.5068 cents 31:33:35:37:39:46:49:52:55:59:62 SD: 2.2832 cents 46:49:52:55:58:69:73:77:82:87:92 SD: 1.7795 cents 53:56:60:63:67:79:84:89:94:100:106 SD: 1.7021 cents 63:67:71:75:80:94:100:106:112:119:126 SD: 1.1519 cents 79:84:89:94:100:118:125:133:141:149:158 SD: 1.0154 cents 87:92:98:104:110:130:138:146:155:164:174 SD: 0.9301 cents 97:103:109:116:123:145:154:163:173:183:194 SD: 0.9276 cents 98:104:110:117:124:146:155:165:175:185:196 SD: 0.9203 cents 110:117:124:131:139:164:174:185:196:208:220 SD: 0.9072 cents 113:120:127:135:143:169:179:190:201:213:226 SD: 0.7816 cents 118:125:133:141:149:176:187:198:210:223:236 SD: 0.7556 cents 128:136:144:153:162:191:203:215:228:242:256 SD: 0.6296 cents 144:153:162:172:182:215:228:242:256:272:289 SD: 0.6155 cents 146:155:164:174:185:218:231:245:260:276:293 SD: 0.5421 cents 165:175:186:197:209:246:261:277:294:312:331 SD: 0.5186 cents 166:176:187:198:210:248:263:279:296:314:333 SD: 0.5079 cents 177:188:199:211:224:264:280:297:315:334:355 SD: 0.4875 cents 197:209:222:235:249:294:312:331:351:372:395 SD: 0.4264 cents 215:228:242:257:272:321:340:361:383:406:431 SD: 0.3914 cents 218:231:245:260:276:325:345:366:388:412:437 SD: 0.3809 cents 233:247:262:278:295:348:369:391:415:440:467 SD: 0.2387 cents 264:280:297:315:334:394:418:443:470:499:529 SD: 0.1910 cents 424:450:477:506:537:633:671:712:755:801:850 SD: 0.1903 cents 425:451:478:507:538:634:673:714:757:803:852 SD: 0.1891 cents 430:456:484:513:544:642:681:722:766:812:862 SD: 0.1870 cents 471:500:530:562:596:703:746:791:839:890:944 SD: 0.1841 cents 477:506:537:569:604:712:755:801:850:901:956 SD: 0.1806 cents 496:526:558:592:628:740:785:833:883:937:994 SD: 0.1477 cents 497:527:559:593:629:742:787:835:885:939:996 SD: 0.1381 cents 511:542:575:610:647:763:809:858:910:965:1024 SD: 0.1348 cents 512:543:576:611:648:764:811:860:912:967:1026 SD: 0.1264 cents 542:575:610:647:686:809:858:910:965:1024:1086 SD: 0.1194 cents