Scala analysis: xen18-erlich-hedgehog-08
6L 2s MOS for Hedgehog, L=162.32, s=111.49
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 162.320 cents 162.320000 2: 324.640 cents 324.640000 3: 436.130 cents 436.130000 4: 598.450 cents 598.450000 5: 760.770 cents 760.770000 6: 923.090 cents 923.090000 7: 1034.580 cents 1034.580000 8: 1196.900 cents 1196.900000
SHOW/INTERVAL
0: 162.3200 cents 162.3200 1: 162.3200 cents 162.3200 2: 162.3200 cents 162.3200 3: 111.4900 cents 111.4900 4: 162.3200 cents 162.3200 5: 162.3200 cents 162.3200 6: 162.3200 cents 162.3200 7: 111.4900 cents 111.4900 8: 162.3200 cents 162.3200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 111.49000 cents 1: 6 162.32000 cents 2: 4 273.81000 cents 2: 4 324.64000 cents 3: 6 436.13000 cents 3: 2 486.96000 cents 4: 8 598.45000 cents 5: 2 709.94000 cents 5: 6 760.77000 cents 6: 4 872.26000 cents 6: 4 923.09000 cents 7: 6 1034.58000 cents 7: 2 1085.41000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.85714 = 13/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 162.3 324.6 436.1 598.4 760.8 923.1 1034.6 1196.9 162.3 : 162.3 273.8 436.1 598.4 760.8 872.3 1034.6 1196.9 324.6 : 111.5 273.8 436.1 598.4 709.9 872.3 1034.6 1196.9 436.1 : 162.3 324.6 487.0 598.4 760.8 923.1 1085.4 1196.9 598.4 : 162.3 324.6 436.1 598.4 760.8 923.1 1034.6 1196.9 760.8 : 162.3 273.8 436.1 598.4 760.8 872.3 1034.6 1196.9 923.1 : 111.5 273.8 436.1 598.4 709.9 872.3 1034.6 1196.9 1034.6: 162.3 324.6 487.0 598.4 760.8 923.1 1085.4 1196.9 1196.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 111.4900 .. 162.3200 cents 50.83000 cents 111.49000 cents 2: 273.8100 .. 324.6400 cents 50.83000 cents 111.49000 cents 3: 436.1300 .. 486.9600 cents 50.83000 cents 111.49000 cents 4: 598.4500 .. 598.4500 cents 1/1, 0.0000 cents 111.49000 cents 5: 709.9400 .. 760.7700 cents 50.83000 cents 111.49000 cents 6: 872.2600 .. 923.0900 cents 50.83000 cents 111.49000 cents 7: 1034.5800 .. 1085.4100 cents 50.83000 cents 111.49000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 111.49000 cents, class 1 Average step (divided formal octave): 149.6125 cents Largest one step interval : 162.32000 cents Average / Smallest step : 1.341936 Largest / Average step : 1.084936 Largest / Smallest step : 1.455915 Median interval of one step : 162.32000 cents, amount: 6 Most common interval of one step : 162.32000 cents, amount: 6 Least squares average step : 150.36000 cents, oct.: 1202.88000 cents Scale is strictly proper Scale has 2 repeating blocks of 4 notes Blocks have Myhill's property chromas: 50.83000 cents and 60.66000 cents, ratio: 1.193390 generators: 1 of 162.32000 cents and 3 of 436.13000 cents ET pair of linear temperament : 22&118 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 730-tone equal temperament with octave 1196.900 cents degrees: 99 198 266 365 464 563 631 730 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: 369 = 361 more = 4612.500% Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAAABA Step pattern size order : LLSLLLSL Scale is a Constant Structure, by a margin of 111.49000 cents Scale diversity : 1.216061 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.745192 Rothenberg efficiency (ambiguous key): 0.525000 redundancy: 0.475000 Efficiency x scale size : 4.200000 Number of different interval sizes : 13 = 1.85714 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.85714 = 13/7 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 50.83000 cents Most common intervals : 598.45000 cents & inv., amount: 8 Number of recognisable fifths : 2, average 709.9400 cents Number of recognisable fourths : 2, average 486.9600 cents Scale contains two identical disjunct tetrachords Best fifths form a closed circle Formal octave complements present : 6 = 75.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 4 Limited inverse transpositions : 1 5 Inversional symmetry on intervals : 0-1 2-3 4-5 6-7 -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 15.5634 c. M: 25.4150 c. 14: 2 2 1 2 2 2 1 2 SP B ME SD: 10.6133 c. M:-17.3314 c. 22: 3 3 2 3 3 3 2 3 SP B ME SD: 1.0945 c. M:-1.7873 c. 74: 10 10 7 10 10 10 7 10 SP B DE SD: 0.7064 c. M: 1.1535 c. 96: 13 13 9 13 13 13 9 13 SP B DE SD: 0.2937 c. M: 0.4796 c. 118: 16 16 11 16 16 16 11 16 SP B DE SD: 0.0349 c. M: 0.0569 c. 376: 51 51 35 51 51 51 35 51 SP B DE SD: 0.0312 c. M:-0.0510 c. 494: 67 67 46 67 67 67 46 67 SP B DE SD: 0.0154 c. M:-0.0252 c. 612: 83 83 57 83 83 83 57 83 SP B DE SD: 0.0057 c. M:-0.0093 c. 730: 99 99 68 99 99 99 68 99 SP B DE SD: 0.0008 c. M: 0.0014 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 3.1000 cents 2 x x x x 3 x x 4 S SD: 29.4483 cents 3 x x 4 x x 5 x 6 S SD: 24.3657 cents 4 x x 5 x 6:7 x 8 S SD: 22.4196 cents 5 x 6 x 7:8 x 9:10 S SD: 11.7187 cents 6 x 7:8 x 9:10:11:12 S SD: 18.5279 cents 7:8 x 9:10:11:12:13:14 S SD: 12.0074 cents 8:9 x 10:11:12:14:15:16 S SD: 17.4238 cents 9:10:11:12:13:14:15:16:18 S SD: 12.0028 cents 10:11:12:13:14:16:17:18:20 S SD: 7.6925 cents 17:19:21:22:24:26:29:31:34 SD: 7.2828 cents 18:20:22:23:25:28:31:33:36 SD: 6.2685 cents 20:22:24:26:28:31:34:36:40 SD: 3.9355 cents 29:32:35:37:41:45:49:53:58 SD: 3.0525 cents 34:37:41:44:48:53:58:62:68 SD: 2.6915 cents 38:42:46:49:54:59:65:69:76 SD: 2.2508 cents 49:54:59:63:69:76:84:89:98 SD: 1.7370 cents 53:58:64:68:75:82:90:96:106 SD: 1.7057 cents 60:66:72:77:85:93:102:109:120 SD: 1.5892 cents 63:69:76:81:89:98:107:115:126 SD: 1.4842 cents 72:79:87:93:102:112:123:131:144 SD: 1.4050 cents 73:80:88:94:103:113:124:133:146 SD: 1.2656 cents 83:91:100:107:117:129:141:151:166 SD: 1.2096 cents 87:96:105:112:123:135:148:158:174 SD: 1.1976 cents 91:100:110:117:129:141:155:165:182 SD: 1.1468 cents 92:101:111:118:130:143:157:167:184 SD: 0.9363 cents 101:111:122:130:143:157:172:184:202 SD: 0.9286 cents 102:112:123:131:144:158:174:185:204 SD: 0.8631 cents 111:122:134:143:157:172:189:202:222 SD: 0.7442 cents 121:133:146:156:171:188:206:220:242 SD: 0.7289 cents 150:165:181:193:212:233:256:273:299 SD: 0.6595 cents 160:176:193:206:226:248:273:291:319 SD: 0.6055 cents 165:181:199:212:233:256:281:300:329 SD: 0.5180 cents 174:191:210:224:246:270:297:316:347 SD: 0.5116 cents 203:223:245:261:287:315:346:369:405 SD: 0.2661 cents 223:245:269:287:315:346:380:405:445 SD: 0.2551 cents 286:314:345:368:404:444:487:520:571 SD: 0.2464 cents 315:346:380:405:445:489:537:573:629 SD: 0.2314 cents 325:357:392:418:459:504:554:591:649 SD: 0.2179 cents 335:368:404:431:473:520:571:609:669 SD: 0.1902 cents 426:468:514:548:602:661:726:774:850 SD: 0.1837 cents 460:505:555:592:650:714:784:836:918 SD: 0.1679 cents 489:537:590:629:691:759:833:889:976 SD: 0.1543 cents 528:580:637:679:746:819:900:960:1054 SD: 0.1518 cents 538:591:649:692:760:835:917:978:1074 SD: 0.0852 cents