Scala analysis: xen18-erlich-hedgehog-06
2L 4s MOS for Hedgehog, L=273.81, s=162.32
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: 436.130 cents 436.130000 3: 598.450 cents 598.450000 4: 760.770 cents 760.770000 5: 1034.580 cents 1034.580000 6: 1196.900 cents 1196.900000
SHOW/INTERVAL
0: 162.3200 cents 162.3200 1: 162.3200 cents 162.3200 2: 273.8100 cents 273.8100 3: 162.3200 cents 162.3200 4: 162.3200 cents 162.3200 5: 273.8100 cents 273.8100 6: 162.3200 cents 162.3200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 162.32000 cents 1: 2 273.81000 cents 2: 2 324.64000 cents 2: 4 436.13000 cents 3: 6 598.45000 cents 4: 4 760.77000 cents 4: 2 872.26000 cents 5: 2 923.09000 cents 5: 4 1034.58000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.80000 = 9/5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 162.3 436.1 598.4 760.8 1034.6 1196.9 162.3 : 273.8 436.1 598.4 872.3 1034.6 1196.9 436.1 : 162.3 324.6 598.4 760.8 923.1 1196.9 598.4 : 162.3 436.1 598.4 760.8 1034.6 1196.9 760.8 : 273.8 436.1 598.4 872.3 1034.6 1196.9 1034.6: 162.3 324.6 598.4 760.8 923.1 1196.9 1196.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 162.3200 .. 273.8100 cents 111.49000 cents 162.32000 cents 2: 324.6400 .. 436.1300 cents 111.49000 cents 50.83000 cents 3: 598.4500 .. 598.4500 cents 1/1, 0.0000 cents 162.32000 cents 4: 760.7700 .. 872.2600 cents 111.49000 cents 162.32000 cents 5: 923.0900 .. 1034.5800 cents 111.49000 cents 50.83000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 162.32000 cents, class 1 Average step (divided formal octave): 199.4833 cents Largest one step interval : 273.81000 cents Average / Smallest step : 1.228951 Largest / Average step : 1.372596 Largest / Smallest step : 1.686853 Median interval of one step : 162.32000 cents, amount: 4 Most common interval of one step : 162.32000 cents, amount: 4 Least squares average step : 200.30011 cents, oct.: 1201.80066 cents Scale is strictly proper Scale has 2 repeating blocks of 3 notes Blocks have Myhill's property chromas: 111.49000 cents and 50.83000 cents, ratio: 2.193390 generators: 1 of 162.32000 cents and 2 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 612-tone equal temperament with octave 1196.900 cents degrees: 83 223 306 389 529 612 Least number of segments generator : 307 of 600.406 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 389 of 760.775 cents and inv. generated superset size: 309 = 303 more = 5150.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAABA Step pattern size order : SLSSLS Scale is a Constant Structure, by a margin of 50.83000 cents Scale diversity : 1.225909 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.627404 Rothenberg efficiency (ambiguous key): 0.544444 redundancy: 0.455556 Efficiency x scale size : 3.266667 Number of different interval sizes : 9 = 1.80000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.80000 = 9/5 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 50.83000 cents Most common intervals : 598.45000 cents & inv., amount: 6 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 6 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 3 Limited inverse transpositions : 3 Inversional symmetry on degrees : 0 3 Inversional symmetry on intervals : 1-2 4-5 -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 30.3437 c. M:-37.1633 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 8: 1 2 1 1 2 1 P B ME I SD: 10.3756 c. M:-12.7075 c. 14: 2 3 2 2 3 2 SP B ME I SD: 7.0755 c. M:-8.6657 c. Quasi-equal Hexatonic 22: 3 5 3 3 5 3 SP B DE I SD: 0.7297 c. M:-0.8936 c. 74: 10 17 10 10 17 10 SP B DE I SD: 0.4709 c. M:-0.5768 c. 96: 13 22 13 13 22 13 SP B DE I SD: 0.1958 c. M:-0.2398 c. 118: 16 27 16 16 27 16 SP B DE I SD: 0.0232 c. M:-0.0285 c. 376: 51 86 51 51 86 51 SP B DE I SD: 0.0208 c. M:-0.0255 c. 494: 67 113 67 67 113 67 SP B DE I SD: 0.0103 c. M:-0.0126 c. 612: 83 140 83 83 140 83 SP B DE I SD: 0.0038 c. M:-0.0047 c. 730: 99 167 99 99 167 99 SP B DE I SD: 0.0006 c. M:-0.0007 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 3.1000 cents 2 x x x 3 x 4 S SD: 29.4483 cents 3 x 4 x 5 x 6 S SD: 46.0884 cents 4 x 5 x 6:7:8 S SD: 25.3403 cents 5 x 6:7:8:9:10 S SD: 26.7355 cents 6:7:8 x 9:11:12 SD: 27.1674 cents 7:8:9:10:11:13:14 SD: 13.9083 cents 10:11:13:14:16:18:20 SD: 10.1193 cents 11:12:14:16:17:20:22 SD: 9.2304 cents 17:19:22:24:26:31:34 SD: 6.8636 cents 18:20:23:25:28:33:36 SD: 6.8133 cents 20:22:26:28:31:36:40 SD: 4.9735 cents 22:24:28:31:34:40:44 SD: 3.9663 cents 29:32:37:41:45:53:58 SD: 3.2060 cents 31:34:40:44:48:56:62 SD: 2.5520 cents 42:46:54:59:65:76:84 SD: 2.4662 cents 49:54:63:69:76:89:98 SD: 1.5145 cents 60:66:77:85:93:109:120 SD: 1.3004 cents 80:88:103:113:124:145:160 SD: 1.1569 cents 94:103:121:133:146:171:188 SD: 1.0078 cents 111:122:143:157:172:202:222 SD: 0.9232 cents 121:133:156:171:188:220:242 SD: 0.9134 cents 133:146:171:188:206:242:266 SD: 0.8477 cents 143:157:184:202:222:260:285 SD: 0.5295 cents 174:191:224:246:270:316:347 SD: 0.5095 cents 192:211:247:271:298:349:383 SD: 0.4251 cents 203:223:261:287:315:369:405 SD: 0.3195 cents 252:277:324:356:391:458:503 SD: 0.3123 cents 276:303:355:390:428:502:551 SD: 0.3031 cents 286:314:368:404:444:520:571 SD: 0.1911 cents 346:380:445:489:537:629:691 SD: 0.1537 cents 489:537:629:691:759:889:976 SD: 0.1200 cents 538:591:692:760:835:978:1074 SD: 0.1115 cents 569:625:732:804:883:1034:1136 SD: 0.0903 cents