Scala analysis: xen18-erlich-dicot-10
7L 3s MOS for Dicot, L=148.00, s=57.22
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 148.000 cents 148.000000 2: 205.220 cents 205.220000 3: 353.220 cents 353.220000 4: 501.220 cents 501.220000 5: 649.220 cents 649.220000 6: 706.440 cents 706.440000 7: 854.440 cents 854.440000 8: 1002.440 cents 1002.440000 9: 1059.660 cents 1059.660000 10: 1207.660 cents 1207.660000
SHOW/INTERVAL
0: 148.0000 cents 148.0000 1: 148.0000 cents 148.0000 2: 57.2200 cents 57.2200 3: 148.0000 cents 148.0000 4: 148.0000 cents 148.0000 5: 148.0000 cents 148.0000 6: 57.2200 cents 57.2200 7: 148.0000 cents 148.0000 8: 148.0000 cents 148.0000 9: 57.2200 cents 57.2200 10: 148.0000 cents 148.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 57.22000 cents 1: 7 148.00000 cents 2: 6 205.22000 cents 2: 4 296.00000 cents 3: 9 353.22000 cents 3: 1 444.00000 cents 4: 2 410.44000 cents 4: 8 501.22000 cents 5: 5 558.44000 cents 5: 5 649.22000 cents 6: 8 706.44000 cents 6: 2 797.22000 cents 7: 1 763.66000 cents 7: 9 854.44000 cents 8: 4 911.66000 cents 8: 6 1002.44000 cents 9: 7 1059.66000 cents 9: 3 1150.44000 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 : 148.0 205.2 353.2 501.2 649.2 706.4 854.4 1002.4 1059.7 1207.7 148.0 : 57.2 205.2 353.2 501.2 558.4 706.4 854.4 911.7 1059.7 1207.7 205.2 : 148.0 296.0 444.0 501.2 649.2 797.2 854.4 1002.4 1150.4 1207.7 353.2 : 148.0 296.0 353.2 501.2 649.2 706.4 854.4 1002.4 1059.7 1207.7 501.2 : 148.0 205.2 353.2 501.2 558.4 706.4 854.4 911.7 1059.7 1207.7 649.2 : 57.2 205.2 353.2 410.4 558.4 706.4 763.7 911.7 1059.7 1207.7 706.4 : 148.0 296.0 353.2 501.2 649.2 706.4 854.4 1002.4 1150.4 1207.7 854.4 : 148.0 205.2 353.2 501.2 558.4 706.4 854.4 1002.4 1059.7 1207.7 1002.4: 57.2 205.2 353.2 410.4 558.4 706.4 854.4 911.7 1059.7 1207.7 1059.7: 148.0 296.0 353.2 501.2 649.2 797.2 854.4 1002.4 1150.4 1207.7 1207.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 57.2200 .. 148.0000 cents 90.78000 cents 57.22000 cents 2: 205.2200 .. 296.0000 cents 90.78000 cents 57.22000 cents 3: 353.2200 .. 444.0000 cents 90.78000 cents 57.22000 cents 4: 410.4400 .. 501.2200 cents 90.78000 cents -33.56000 cents 5: 558.4400 .. 649.2200 cents 90.78000 cents 57.22000 cents 6: 706.4400 .. 797.2200 cents 90.78000 cents 57.22000 cents 7: 763.6600 .. 854.4400 cents 90.78000 cents -33.56000 cents 8: 911.6600 .. 1002.4400 cents 90.78000 cents 57.22000 cents 9: 1059.6600 .. 1150.4400 cents 90.78000 cents 57.22000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 57.22000 cents, class 1 Average step (divided formal octave): 120.7660 cents Largest one step interval : 148.00000 cents Average / Smallest step : 2.110556 Largest / Average step : 1.225510 Largest / Smallest step : 2.586508 Median interval of one step : 148.00000 cents, amount: 7 Most common interval of one step : 148.00000 cents, amount: 7 Least squares average step : 121.35548 cents, oct.: 1213.55481 cents Scale is not proper Scale has Myhill's property chromas: 90.78000 cents and 33.56000 cents, ratio: 2.705006 generators: 3 of 353.22000 cents and 7 of 854.44000 cents ET pair of linear temperament : 17&24 Scale is distributional even Scale is a mode of a 612-tone equal temperament with octave 1207.660 cents degrees: 75 104 179 254 329 358 433 508 537 612 generators: 179 and 433 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAAABAABA Step pattern size order : LSLLLSLLSL Scale is a Constant Structure, by a margin of 33.56000 cents Scale diversity : 1.241222 Lumma stability : 0.379047 Lumma impropriety factor : 0.055579 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 : 33.56000 cents Most common intervals : 353.22000 cents & inv., amount: 9 Scale is a chain of 5 triads 0.0 205.220 854.440 cents Most common triad is 0.0 353.220 854.440 cents, amount: 8 Number of recognisable fifths : 8, average 706.4400 cents Number of recognisable fourths : 8, average 501.2200 cents Scale contains two identical conjunct pentachords Formal octave complements present : 9 = 90.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 7 Inversional symmetry on intervals : 3-4 8-9 -- Rational properties --
FIT/MODE
10: 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 26.4667 c. M: 45.3900 c. 13: 2 0 2 1 2 1 1 2 0 2 N D3 SD: 26.4317 c. M:-37.7938 c. 14: 2 0 2 2 2 0 2 2 0 2 N M DE SD: 23.8319 c. M:-40.8714 c. 15: 2 0 2 2 2 1 1 2 1 2 N D3 SD: 27.7536 c. M: 49.3333 c. 16: 2 1 2 2 2 0 2 2 1 2 N T3 SD: 21.1283 c. M:-30.0888 c. 17: 2 1 2 2 2 1 2 2 1 2 P M ME SD: 5.7555 c. M: 9.8706 c. 24: 3 1 3 3 3 1 3 3 1 3 N M DE SD: 2.8742 c. M:-4.9292 c. Breed Decatonic 41: 5 2 5 5 5 2 5 5 2 5 N M DE SD: 0.7040 c. M: 1.2073 c. 65: 8 3 8 8 8 3 8 8 3 8 N M DE SD: 0.6172 c. M:-1.0585 c. 106: 13 5 13 13 13 5 13 13 5 13 N M DE SD: 0.1062 c. M:-0.1821 c. 253: 31 12 31 31 31 12 31 31 12 31 N M DE SD: 0.0251 c. M: 0.0431 c. 359: 44 17 44 44 44 17 44 44 17 44 N M DE SD: 0.0136 c. M:-0.0234 c. 612: 75 29 75 75 75 29 75 75 29 75 N M DE SD: 0.0024 c. M: 0.0041 c. 1583: 194 75 194 194 194 75 194 194 75 194 N M DE SD: 0.0013 c. M:-0.0021 c. 2195: 269 104 269 269 269 104 269 269 104 269 N M DE SD: 0.0002 c. M:-0.0004 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 7.6600 cents 2 x x x x x 3 x x x 4 S SD: 4.4382 cents 3 x x x 4 x x 5 x x 6 S SD: 10.3488 cents 4 x x 5 x x 6 x 7 x 8 S SD: 11.9997 cents 5 x x 6 x 7 x 8:9 x 10 S SD: 17.6764 cents 6 x 7 x 8 x 9:10 x 11:12 S SD: 11.6558 cents 7 x 8 x 9:10 x 11 x 13:14 SD: 17.8222 cents 8 x 9:10:11 x 12:13:14:15:16 S SD: 9.5422 cents 9 x 10:11:12:13:14:15:16:17:18 S SD: 9.1958 cents 10:11 x 12:13 x 15:16:18 x 20 SD: 10.9547 cents 11:12 x 13:15:16:17:18 x 20:22 SD: 11.3738 cents 12:13:14:15:16:17:18:20:21:22:24 S SD: 9.6649 cents 13:14:15:16:17:19:20:21:23:24:26 SD: 7.7846 cents 14:15:16:17:19:20:21:23:25:26:28 SD: 6.1590 cents 17 x 19:21:23:25:26:28:30:31:34 SD: 5.9769 cents 18 x 20:22:24:26:27:29:32:33:36 SD: 4.6829 cents 19:21 x 23:25:28:29:31:34:35:38 SD: 6.1911 cents 20:22:23:25:27:29:30:33:36:37:40 SD: 5.9998 cents 21:23:24:26:28:31:32:34:37:39:42 SD: 5.7320 cents 22:24:25:27:29:32:33:36:39:41:44 SD: 3.6489 cents 24:26:27:29:32:35:36:39:43:44:48 SD: 3.4652 cents 30:33:34:37:40:44:45:49:54:55:60 SD: 3.4047 cents 31:34:35:38:41:45:47:51:55:57:62 SD: 3.0223 cents 32:35:36:39:43:47:48:52:57:59:64 SD: 2.8648 cents 33:36:37:40:44:48:50:54:59:61:66 SD: 2.7057 cents 41:45:46:50:55:60:62:67:73:76:82 SD: 2.6730 cents 42:46:47:52:56:61:63:69:75:77:84 SD: 2.6551 cents 44:48:50:54:59:64:66:72:79:81:88 SD: 2.2809 cents 47:51:53:58:63:68:71:77:84:87:94 SD: 2.1631 cents 48:52:54:59:64:70:72:79:86:89:96 SD: 2.0347 cents 53:58:60:65:71:77:80:87:95:98:106 SD: 1.9546 cents 56:61:63:69:75:81:84:92:100:103:112 SD: 1.7931 cents 57:62:64:70:76:83:86:93:102:105:115 SD: 1.4490 cents 66:72:74:81:88:96:99:108:118:122:133 SD: 1.2269 cents 79:86:89:97:106:115:119:129:141:146:159 SD: 1.1381 cents 80:87:90:98:107:116:120:131:143:148:161 SD: 1.1052 cents 88:96:99:108:118:128:132:144:157:162:177 SD: 0.9638 cents 89:97:100:109:119:129:134:146:159:164:179 SD: 0.9273 cents 97:106:109:119:130:141:146:159:173:179:195 SD: 0.9212 cents 101:110:114:124:135:147:152:165:180:186:203 SD: 0.7733 cents 110:120:124:135:147:160:165:180:196:203:221 SD: 0.6708 cents 125:136:141:153:167:182:188:205:223:231:251 SD: 0.6639 cents 143:156:161:175:191:208:215:234:255:264:287 SD: 0.5550 cents 158:172:178:194:211:230:238:259:282:291:317 SD: 0.5252 cents 167:182:188:205:223:243:251:274:298:308:335 SD: 0.4355 cents 191:208:215:234:255:278:287:313:341:352:384 SD: 0.3374 cents 224:244:252:275:299:326:337:367:400:413:450 SD: 0.3111 cents 238:259:268:292:318:346:358:390:425:439:478 SD: 0.2855 cents 270:294:304:331:361:393:406:442:482:498:542 SD: 0.2726 cents 301:328:339:369:402:438:453:493:537:555:605 SD: 0.2027 cents 367:400:413:450:490:534:552:601:655:677:737 SD: 0.1873 cents 437:476:492:536:584:636:657:716:780:806:878 SD: 0.1306 cents 548:597:617:672:732:797:824:898:978:1011:1101 SD: 0.1258 cents