Scala analysis: xen18-erlich-hedgehog-14
8L 6s MOS for Hedgehog, L=111.49, s=50.83
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 111.490 cents 111.490000 2: 162.320 cents 162.320000 3: 273.810 cents 273.810000 4: 324.640 cents 324.640000 5: 436.130 cents 436.130000 6: 486.960 cents 486.960000 7: 598.450 cents 598.450000 8: 709.940 cents 709.940000 9: 760.770 cents 760.770000 10: 872.260 cents 872.260000 11: 923.090 cents 923.090000 12: 1034.580 cents 1034.580000 13: 1085.410 cents 1085.410000 14: 1196.900 cents 1196.900000
SHOW/INTERVAL
0: 111.4900 cents 111.4900 1: 111.4900 cents 111.4900 2: 50.8300 cents 50.8300 3: 111.4900 cents 111.4900 4: 50.8300 cents 50.8300 5: 111.4900 cents 111.4900 6: 50.8300 cents 50.8300 7: 111.4900 cents 111.4900 8: 111.4900 cents 111.4900 9: 50.8300 cents 50.8300 10: 111.4900 cents 111.4900 11: 50.8300 cents 50.8300 12: 111.4900 cents 111.4900 13: 50.8300 cents 50.8300 14: 111.4900 cents 111.4900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 50.83000 cents 1: 8 111.49000 cents 2: 12 162.32000 cents 2: 2 222.98000 cents 3: 4 213.15000 cents 3: 10 273.81000 cents 4: 10 324.64000 cents 4: 4 385.30000 cents 5: 2 375.47000 cents 5: 12 436.13000 cents 6: 8 486.96000 cents 6: 6 547.62000 cents 7: 14 598.45000 cents 8: 6 649.28000 cents 8: 8 709.94000 cents 9: 12 760.77000 cents 9: 2 821.43000 cents 10: 4 811.60000 cents 10: 10 872.26000 cents 11: 10 923.09000 cents 11: 4 983.75000 cents 12: 2 973.92000 cents 12: 12 1034.58000 cents 13: 8 1085.41000 cents 13: 6 1146.07000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.92308 = 25/13
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 0.0 : 111.5 162.3 273.8 324.6 436.1 487.0 598.4 709.9 760.8 872.3 923.1 1034.6 1085.4 1196.9 111.5 : 50.8 162.3 213.2 324.6 375.5 487.0 598.4 649.3 760.8 811.6 923.1 973.9 1085.4 1196.9 162.3 : 111.5 162.3 273.8 324.6 436.1 547.6 598.4 709.9 760.8 872.3 923.1 1034.6 1146.1 1196.9 273.8 : 50.8 162.3 213.2 324.6 436.1 487.0 598.4 649.3 760.8 811.6 923.1 1034.6 1085.4 1196.9 324.6 : 111.5 162.3 273.8 385.3 436.1 547.6 598.4 709.9 760.8 872.3 983.8 1034.6 1146.1 1196.9 436.1 : 50.8 162.3 273.8 324.6 436.1 487.0 598.4 649.3 760.8 872.3 923.1 1034.6 1085.4 1196.9 487.0 : 111.5 223.0 273.8 385.3 436.1 547.6 598.4 709.9 821.4 872.3 983.8 1034.6 1146.1 1196.9 598.4 : 111.5 162.3 273.8 324.6 436.1 487.0 598.4 709.9 760.8 872.3 923.1 1034.6 1085.4 1196.9 709.9 : 50.8 162.3 213.2 324.6 375.5 487.0 598.4 649.3 760.8 811.6 923.1 973.9 1085.4 1196.9 760.8 : 111.5 162.3 273.8 324.6 436.1 547.6 598.4 709.9 760.8 872.3 923.1 1034.6 1146.1 1196.9 872.3 : 50.8 162.3 213.2 324.6 436.1 487.0 598.4 649.3 760.8 811.6 923.1 1034.6 1085.4 1196.9 923.1 : 111.5 162.3 273.8 385.3 436.1 547.6 598.4 709.9 760.8 872.3 983.7 1034.6 1146.1 1196.9 1034.6: 50.8 162.3 273.8 324.6 436.1 487.0 598.4 649.3 760.8 872.3 923.1 1034.6 1085.4 1196.9 1085.4: 111.5 223.0 273.8 385.3 436.1 547.6 598.4 709.9 821.4 872.3 983.8 1034.6 1146.1 1196.9 1196.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 50.8300 .. 111.4900 cents 60.66000 cents 50.83000 cents 2: 162.3200 .. 222.9800 cents 60.66000 cents 50.83000 cents 3: 213.1500 .. 273.8100 cents 60.66000 cents -9.83000 cents 4: 324.6400 .. 385.3000 cents 60.66000 cents 50.83000 cents 5: 375.4700 .. 436.1300 cents 60.66000 cents -9.83000 cents 6: 486.9600 .. 547.6200 cents 60.66000 cents 50.83000 cents 7: 598.4500 .. 598.4500 cents 1/1, 0.0000 cents 50.83000 cents 8: 649.2800 .. 709.9400 cents 60.66000 cents 50.83000 cents 9: 760.7700 .. 821.4300 cents 60.66000 cents 50.83000 cents 10: 811.6000 .. 872.2600 cents 60.66000 cents -9.83000 cents 11: 923.0900 .. 983.7500 cents 60.66000 cents 50.83000 cents 12: 973.9200 .. 1034.5800 cents 60.66000 cents -9.83000 cents 13: 1085.4100 .. 1146.0700 cents 60.66000 cents 50.83000 cents
SHOW DATA
Number of notes : 14 -- Interval properties -- Smallest interval : 50.83000 cents, class 1 Average step (divided formal octave): 85.4929 cents Largest one step interval : 111.49000 cents Average / Smallest step : 1.681937 Largest / Average step : 1.304086 Largest / Smallest step : 2.193390 Median interval of one step : 111.49000 cents, amount: 8 Most common interval of one step : 111.49000 cents, amount: 8 Least squares average step : 85.25380 cents, oct.: 1193.55324 cents Scale is not proper Scale has 2 repeating blocks of 7 notes Blocks have Myhill's property chromas: 60.66000 cents and 9.83000 cents, ratio: 6.170905 generators: 2 of 162.32000 cents and 5 of 436.13000 cents ET pair of linear temperament : 22&118 Scale is distributional even Scale is a mode of a 730-tone equal temperament with octave 1196.900 cents degrees: 68 99 167 198 266 297 365 433 464 532 563 631 662 730 Least number of segments generator : 367 of 601.729 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 631 of 1034.581 cents and inv. generated superset size: 372 = 358 more = 2657.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABAABABABA Step pattern size order : LSLSLSLLSLSLSL Scale is a Constant Structure, by a margin of 9.83000 cents Scale diversity : 1.194114 Lumma stability : 0.424680 Lumma impropriety factor : 0.032852 Number of different interval sizes : 25 = 1.92308 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.92308 = 25/13 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 9.83000 cents Most common intervals : 598.45000 cents & inv., amount: 14 Number of recognisable fifths : 8, average 709.9400 cents Number of recognisable fourths : 8, average 486.9600 cents Scale contains two identical disjunct heptachords Formal octave complements present : 14 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 7 Limited inverse transpositions : 7 Inversional symmetry on degrees : 0 7 Inversional symmetry on intervals : 3-4 10-11 -- Rational properties --
FIT/MODE
14: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 17.3314 c. M:-25.9971 c. 20: 2 1 2 0 2 1 2 2 1 2 0 2 1 2 N B D3 I SD: 16.9833 c. M:-25.4150 c. 21: 2 1 2 1 2 1 1 2 1 2 1 2 1 2 P D3 SD: 16.8252 c. M: 28.4976 c. 22: 2 1 2 1 2 1 2 2 1 2 1 2 1 2 P B ME I SD: 1.7873 c. M:-2.6809 c. 74: 7 3 7 3 7 3 7 7 3 7 3 7 3 7 N B DE I SD: 1.1535 c. M: 1.7303 c. 96: 9 4 9 4 9 4 9 9 4 9 4 9 4 9 N B DE I SD: 0.4796 c. M: 0.7194 c. 118: 11 5 11 5 11 5 11 11 5 11 5 11 5 11 N B DE I SD: 0.0569 c. M: 0.0854 c. 376: 35 16 35 16 35 16 35 35 16 35 16 35 16 35 N B DE I SD: 0.0510 c. M:-0.0764 c. 494: 46 21 46 21 46 21 46 46 21 46 21 46 21 46 N B DE I SD: 0.0252 c. M:-0.0378 c. 612: 57 26 57 26 57 26 57 57 26 57 26 57 26 57 N B DE I SD: 0.0093 c. M:-0.0140 c. 730: 68 31 68 31 68 31 68 68 31 68 31 68 31 68 N B DE I SD: 0.0014 c. M:-0.0021 c.
FIT/HARMONIC
1 x x x x x x x x x x x x x 2 S SD: 3.1000 cents 2 x x x x x x x 3 x x x x x 4 S SD: 4.2828 cents 3 x x x x x 4 x x x 5 x x x 6 S SD: 5.5664 cents 4 x x x x 5 x x 6 x x 7 x x 8 S SD: 17.0419 cents 5 x x x 6 x x 7 x 8 x x 9 x 10 S SD: 11.7187 cents 6 x x 7 x x 8 x 9 x 10 x 11 x 12 S SD: 4.1140 cents 7 x x 8 x 9 x 10 x 11 x 12 x 13:14 S SD: 7.7611 cents 8 x 9 x x 10 x 11:12 x 13:14 x 15:16 S SD: 12.2558 cents 9 x 10 x 11 x 12:13 x 14:15 x 16:17:18 S SD: 7.3707 cents 10 x 11 x 12:13 x 14:15:16 x 17:18:19:20 S SD: 6.7202 cents 11 x 12:13 x 14:15:16 x 17:18:19:20:21:22 S SD: 8.0718 cents 12 x 13:14 x 15:16:17:18:19:20 x 22 x 24 S SD: 6.9899 cents 13:14 x 15:16 x 17:18 x 20 x 22 x 24:26 S SD: 7.7567 cents 14:15 x 16:17:18:19:20:21:22:23:24:25:26:28 S SD: 5.9897 cents 15:16 x x 18:19:20:21 x 23:25:26:27:28:30 SD: 4.9215 cents 16:17:18:19 x x 21:23:24:25:26:27:29:30:32 SD: 5.9139 cents 17:18:19:20:21:22:23:24 x 26:28:29:31:32:34 SD: 5.4901 cents 18:19:20:21:22:23:24:25:27:28:30:31:33:34:36 SD: 4.2018 cents 19:20:21:22:23:24:25:27:29 x 31:32:35:36:38 SD: 5.3416 cents 20:21:22:23:24:26:27:28:30:31:33:34:36:37:40 SD: 4.6867 cents 21:22:23 x 25:27:28:30:32:33:35:36:38:39:42 SD: 4.4437 cents 23 x 25:27:28:30 x 33:35:36:38:39:42:43:46 SD: 4.1976 cents 24 x 26:28:29:31:32:34:36:37:40:41:44:45:48 SD: 2.8833 cents 25:27 x 29:30:32:33:35:38:39:41:43:45:47:50 SD: 3.7437 cents 27:29:30:32:33:35:36:38:41:42:45:46:49:51:54 SD: 3.5195 cents 28:30:31:33:34:36:37:40:42:43:46:48:51:52:56 SD: 2.9880 cents 29:31:32:34:35:37:38:41:44:45:48:49:53:54:58 SD: 2.4733 cents 31:33:34:36:37:40:41:44:47:48:51:53:56:58:62 SD: 2.3269 cents 34:36:37:40:41:44:45:48:51:53:56:58:62:64:68 SD: 2.1518 cents 41:44:45:48:49:53:54:58:62:64:68:70:75:77:82 SD: 2.1136 cents 43:46:47:50:52:55:57:61:65:67:71:73:78:80:86 SD: 1.8944 cents 49:52:54:57:59:63:65:69:74:76:81:84:89:92:98 SD: 1.5349 cents 58:62:64:68:70:75:77:82:87:90:96:99:105:109:116 SD: 1.3441 cents 63:67:69:74:76:81:83:89:95:98:104:107:115:118:126 SD: 1.2446 cents 71:76:78:83:86:91:94:100:107:110:118:121:129:133:142 SD: 1.1280 cents 77:82:85:90:93:99:102:109:116:119:127:131:140:144:154 SD: 1.0682 cents 87:93:96:102:105:112:115:123:131:135:144:148:158:163:174 SD: 0.8127 cents 92:98:101:108:111:118:122:130:139:143:152:157:167:172:184 SD: 0.7552 cents 101:108:111:118:122:130:134:143:152:157:167:172:184:189:202 SD: 0.7503 cents 105:112:115:123:127:135:139:148:158:163:174:179:191:197:210 SD: 0.7289 cents 111:118:122:130:134:143:147:157:167:172:184:189:202:208:222 SD: 0.6623 cents 121:129:133:142:146:156:160:171:182:188:200:206:220:227:242 SD: 0.6618 cents 122:130:134:143:147:157:162:172:184:189:202:208:222:228:244 SD: 0.6005 cents 136:145:149:159:164:175:180:192:205:211:225:232:247:255:272 SD: 0.5445 cents 150:160:165:176:181:193:199:212:226:233:248:256:273:281:299 SD: 0.4915 cents 163:174:179:191:197:210:216:230:246:253:270:278:296:305:325 SD: 0.4771 cents 165:176:181:193:199:212:219:233:249:256:273:281:300:309:329 SD: 0.4543 cents 181:193:199:212:218:233:240:256:273:281:300:308:329:339:361 SD: 0.4367 cents 185:197:203:217:223:238:245:261:279:287:306:315:336:346:369 SD: 0.4358 cents 192:205:211:225:232:247:254:271:289:298:318:327:349:359:383 SD: 0.4337 cents 193:206:212:226:233:248:256:273:291:300:319:329:351:361:385 SD: 0.4255 cents 194:207:213:227:234:250:257:274:292:301:321:331:353:363:387 SD: 0.3692 cents 203:217:223:238:245:261:269:287:306:315:336:346:369:380:405 SD: 0.3439 cents 223:238:245:261:269:287:295:315:336:346:369:380:405:417:445 SD: 0.2995 cents 252:269:277:295:304:324:334:356:380:391:417:430:458:472:503 SD: 0.2677 cents 286:305:314:335:345:368:379:404:431:444:473:487:520:535:571 SD: 0.1907 cents 345:368:379:404:416:444:457:487:520:535:571:588:627:646:689 SD: 0.1820 cents 373:398:410:437:450:480:494:527:562:579:617:636:678:698:745 SD: 0.1763 cents 426:454:468:499:514:548:564:602:642:661:705:726:774:797:850 SD: 0.1756 cents 450:480:494:527:543:579:596:636:678:698:745:767:818:842:898 SD: 0.1402 cents 538:574:591:630:649:692:713:760:811:835:890:917:978:1007:1074 SD: 0.1135 cents 572:610:628:670:690:736:758:808:862:888:947:975:1040:1071:1142 SD: 0.1032 cents 600:640:659:703:724:772:795:848:904:931:993:1023:1091:1123:1198 SD: 0.0986 cents