Scala analysis: xen18-erlich-negripent-06
1L 5s MOS for Negripent, L=571.12, s=126.14
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 126.140 cents 126.140000 2: 252.280 cents 252.280000 3: 378.420 cents 378.420000 4: 949.540 cents 949.540000 5: 1075.680 cents 1075.680000 6: 1201.820 cents 1201.820000
SHOW/INTERVAL
0: 126.1400 cents 126.1400 1: 126.1400 cents 126.1400 2: 126.1400 cents 126.1400 3: 126.1400 cents 126.1400 4: 571.1200 cents 571.1200 5: 126.1400 cents 126.1400 6: 126.1400 cents 126.1400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 126.14000 cents 1: 1 571.12000 cents 2: 4 252.28000 cents 2: 2 697.26000 cents 3: 3 378.42000 cents 3: 3 823.40000 cents 4: 2 504.56000 cents 4: 4 949.54000 cents 5: 1 630.70000 cents 5: 5 1075.68000 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 0.0 : 126.1 252.3 378.4 949.5 1075.7 1201.8 126.1 : 126.1 252.3 823.4 949.5 1075.7 1201.8 252.3 : 126.1 697.3 823.4 949.5 1075.7 1201.8 378.4 : 571.1 697.3 823.4 949.5 1075.7 1201.8 949.5 : 126.1 252.3 378.4 504.6 630.7 1201.8 1075.7: 126.1 252.3 378.4 504.6 1075.7 1201.8 1201.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 126.1400 .. 571.1200 cents 444.98000 cents 126.14000 cents 2: 252.2800 .. 697.2600 cents 444.98000 cents -318.84000 cents 3: 378.4200 .. 823.4000 cents 444.98000 cents -318.84000 cents 4: 504.5600 .. 949.5400 cents 444.98000 cents -318.84000 cents 5: 630.7000 .. 1075.6800 cents 444.98000 cents -318.84000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 126.14000 cents, class 1 Average step (divided formal octave): 200.3033 cents Largest one step interval : 571.12000 cents Average / Smallest step : 1.587945 Largest / Average step : 2.851276 Largest / Smallest step : 4.527668 Median interval of one step : 126.14000 cents, amount: 5 Most common interval of one step : 126.14000 cents, amount: 5 Least squares average step : 199.48835 cents, oct.: 1196.93011 cents Scale is not proper Scale has Myhill's property chromas: 444.98000 cents and 318.84000 cents, ratio: 1.395622 generators: 1 of 126.14000 cents and 5 of 1075.68000 cents ET pair of linear temperament : 10&19 Scale is distributional even Scale is a mode of a 343-tone equal temperament with octave 1201.820 cents degrees: 36 72 108 271 307 343 generators: 36 and 307 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAABAA Step pattern size order : SSSLSS Scale is a Constant Structure, by a margin of 59.58000 cents Scale diversity : 1.301859 Lumma stability : 0.209915 Lumma impropriety factor : 0.580170 Rothenberg efficiency : 0.777778 redundancy: 0.222222 Efficiency x scale size : 4.666667 Number of different interval sizes : 10 = 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 : 59.58000 cents Most common intervals : 126.14000 cents & inv., amount: 5 Scale is a chain of 3 triads 0.0 252.280 1075.680 cents Number of recognisable fifths : 2, average 697.2600 cents Number of recognisable fourths : 2, average 504.5600 cents Formal octave complements present : 5 = 83.3333% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 3-4 -- Rational properties --
FIT/MODE
6: 1 0 1 3 0 1 N SD: 53.0657 c. M:-74.1633 c. 7: 1 0 1 3 1 1 N SD: 57.9813 c. M: 91.0971 c. 8: 1 1 1 3 1 1 N M DE SD: 42.8640 c. M:-72.2625 c. 9: 1 1 1 4 1 1 N M DE SD: 13.1605 c. M:-22.1867 c. 10: 1 1 1 5 1 1 N M DE SD: 10.6023 c. M: 17.8740 c. 19: 2 2 2 9 2 2 N M DE SD: 0.6537 c. M:-1.1021 c. 105: 11 11 11 50 11 11 N M DE SD: 0.4183 c. M: 0.7051 c. 124: 13 13 13 59 13 13 N M DE SD: 0.2540 c. M: 0.4282 c. 143: 15 15 15 68 15 15 N M DE SD: 0.1334 c. M: 0.2249 c. 162: 17 17 17 77 17 17 N M DE SD: 0.0411 c. M: 0.0693 c. 181: 19 19 19 86 19 19 N M DE SD: 0.0319 c. M:-0.0537 c. 343: 36 36 36 163 36 36 N M DE SD: 0.0026 c. M: 0.0044 c. 1210: 127 127 127 575 127 127 N M DE SD: 0.0026 c. M:-0.0043 c. 1553: 163 163 163 738 163 163 N M DE SD: 0.0014 c. M:-0.0024 c. 1896: 199 199 199 901 199 199 N M DE SD: 0.0007 c. M:-0.0012 c. 2239: 235 235 235 1064 235 235 N M DE SD: 0.0002 c. M:-0.0003 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 1.8200 cents 2 x x x 3 x 4 S SD: 123.7958 cents 3 x x 4:5 x 6 S SD: 45.4142 cents 4 x x 5:7 x 8 SD: 6.9727 cents 5 x x 6 x 9:10 S SD: 28.5155 cents 6 x 7 x 10:11:12 SD: 17.9538 cents 7 x 8:9:12:13:14 S SD: 12.5614 cents 8 x 9:10:14:15:16 SD: 10.8364 cents 9:10 x 11:16:17:18 SD: 16.6625 cents 10:11 x 12:17:19:20 SD: 17.5171 cents 11:12:13:14:19:20:22 SD: 11.9739 cents 12:13:14:15:21:22:24 SD: 6.4499 cents 24:26:28:30:42:45:48 SD: 5.1734 cents 25:27:29:31:43:47:50 SD: 3.8037 cents 36:39:42:45:62:67:72 SD: 3.7416 cents 37:40:43:46:64:69:74 SD: 2.0874 cents 52:56:60:65:90:97:104 SD: 1.7038 cents 64:69:74:80:111:119:128 SD: 1.6746 cents 65:70:75:81:112:121:130 SD: 1.6005 cents 66:71:76:82:114:123:132 SD: 1.5847 cents 70:75:81:87:121:130:140 SD: 1.4185 cents 77:83:89:96:133:143:154 SD: 1.2734 cents 78:84:90:97:135:145:156 SD: 0.9828 cents 107:115:124:133:185:199:214 SD: 0.7874 cents 122:131:141:152:211:227:244 SD: 0.7696 cents 147:158:170:183:254:274:294 SD: 0.7222 cents 159:171:184:198:275:296:318 SD: 0.4282 cents 237:255:274:295:410:441:474 SD: 0.4109 cents 267:287:309:332:462:497:535 SD: 0.3779 cents 275:296:318:342:476:512:551 SD: 0.3742 cents 294:316:340:366:509:547:589 SD: 0.3683 cents 318:342:368:396:550:592:637 SD: 0.3374 cents 319:343:369:397:552:594:639 SD: 0.2132 cents 331:356:383:412:573:616:663 SD: 0.2002 cents 397:427:459:494:687:739:795 SD: 0.1871 cents 434:467:502:540:751:808:869 SD: 0.1489 cents 491:528:568:611:850:914:983 SD: 0.1133 cents