Scala analysis: xen18-erlich-negripent-07
1L 6s MOS for Negripent, L=444.98, 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: 823.400 cents 823.400000 5: 949.540 cents 949.540000 6: 1075.680 cents 1075.680000 7: 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: 444.9800 cents 444.9800 5: 126.1400 cents 126.1400 6: 126.1400 cents 126.1400 7: 126.1400 cents 126.1400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 126.14000 cents 1: 1 444.98000 cents 2: 5 252.28000 cents 2: 2 571.12000 cents 3: 4 378.42000 cents 3: 3 697.26000 cents 4: 3 504.56000 cents 4: 4 823.40000 cents 5: 2 630.70000 cents 5: 5 949.54000 cents 6: 1 756.84000 cents 6: 6 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 7 0.0 : 126.1 252.3 378.4 823.4 949.5 1075.7 1201.8 126.1 : 126.1 252.3 697.3 823.4 949.5 1075.7 1201.8 252.3 : 126.1 571.1 697.3 823.4 949.5 1075.7 1201.8 378.4 : 445.0 571.1 697.3 823.4 949.5 1075.7 1201.8 823.4 : 126.1 252.3 378.4 504.6 630.7 756.8 1201.8 949.5 : 126.1 252.3 378.4 504.6 630.7 1075.7 1201.8 1075.7: 126.1 252.3 378.4 504.6 949.5 1075.7 1201.8 1201.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 126.1400 .. 444.9800 cents 318.84000 cents 126.14000 cents 2: 252.2800 .. 571.1200 cents 318.84000 cents -192.70000 cents 3: 378.4200 .. 697.2600 cents 318.84000 cents -192.70000 cents 4: 504.5600 .. 823.4000 cents 318.84000 cents -192.70000 cents 5: 630.7000 .. 949.5400 cents 318.84000 cents -192.70000 cents 6: 756.8400 .. 1075.6800 cents 318.84000 cents -192.70000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 126.14000 cents, class 1 Average step (divided formal octave): 171.6886 cents Largest one step interval : 444.98000 cents Average / Smallest step : 1.361095 Largest / Average step : 2.591786 Largest / Smallest step : 3.527668 Median interval of one step : 126.14000 cents, amount: 6 Most common interval of one step : 126.14000 cents, amount: 6 Least squares average step : 176.24343 cents, oct.: 1233.70400 cents Scale is not proper Scale has Myhill's property chromas: 318.84000 cents and 192.70000 cents, ratio: 1.654593 generators: 1 of 126.14000 cents and 6 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 72 108 235 271 307 343 generators: 36 and 307 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAABAAA Step pattern size order : SSSLSSS Scale is a Constant Structure, by a margin of 59.58000 cents Scale diversity : 1.260450 Lumma stability : 0.209915 Lumma impropriety factor : 0.580170 Rothenberg efficiency : 0.761905 redundancy: 0.238095 Efficiency x scale size : 5.333333 Number of different interval sizes : 12 = 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: 6 Scale is a chain of 3 triads 0.0 378.420 1075.680 cents Number of recognisable fifths : 3, average 697.2600 cents Number of recognisable fourths : 3, average 504.5600 cents Scale contains two identical disjunct tetrachords Formal octave complements present : 7 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties --
FIT/MODE
7: 0 1 1 2 1 1 1 N T3 SD: 86.7506 c. M: 136.6457 c. 8: 0 1 1 3 1 1 1 N T3 SD: 76.0897 c. M: 126.1400 c. 9: 1 1 1 3 1 1 1 N M DE I SD: 14.7911 c. M: 22.1867 c. 10: 1 1 1 4 1 1 1 N M DE I SD: 11.9160 c. M:-17.8740 c. 19: 2 2 2 7 2 2 2 N M DE I SD: 0.7347 c. M: 1.1021 c. 105: 11 11 11 39 11 11 11 N M DE I SD: 0.4701 c. M:-0.7051 c. 124: 13 13 13 46 13 13 13 N M DE I SD: 0.2855 c. M: 0.4282 c. 143: 15 15 15 53 15 15 15 N M DE I SD: 0.1499 c. M: 0.2249 c. 162: 17 17 17 60 17 17 17 N M DE I SD: 0.0462 c. M: 0.0693 c. 181: 19 19 19 67 19 19 19 N M DE I SD: 0.0358 c. M: 0.0537 c. 343: 36 36 36 127 36 36 36 N M DE I SD: 0.0029 c. M: 0.0044 c. 1210: 127 127 127 448 127 127 127 N M DE I SD: 0.0029 c. M: 0.0043 c. 1553: 163 163 163 575 163 163 163 N M DE I SD: 0.0016 c. M: 0.0024 c. 1896: 199 199 199 702 199 199 199 N M DE I SD: 0.0008 c. M:-0.0012 c. 2239: 235 235 235 829 235 235 235 N M DE I SD: 0.0002 c. M: 0.0003 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 1.8200 cents 2 x x x 3 x x 4 S SD: 60.7293 cents 3 x x 4:5 x x 6 S SD: 44.7579 cents 4 x x 5:6:7 x 8 S SD: 30.8083 cents 5 x x 6:8 x 9:10 S SD: 21.5240 cents 6 x 7 x 10 x 11:12 SD: 17.0014 cents 7 x 8:9:11:12:13:14 SD: 12.4924 cents 8 x 9:10:13:14:15:16 SD: 9.4708 cents 9:10 x 11:14:16:17:18 SD: 16.9651 cents 10:11 x 12:16:17:19:20 SD: 14.6871 cents 11:12:13:14:18:19:20:22 SD: 11.0783 cents 12:13:14:15:19:21:22:24 SD: 6.8106 cents 13:14:15:16:21:23:24:26 SD: 6.5425 cents 21:23:24:26:34:36:39:42 SD: 6.2405 cents 23:25:27:29:37:40:43:46 SD: 5.7655 cents 24:26:28:30:39:42:45:48 SD: 5.0646 cents 25:27:29:31:40:43:47:50 SD: 3.5434 cents 36:39:42:45:58:62:67:72 SD: 3.2234 cents 37:40:43:46:60:64:69:74 SD: 2.6333 cents 38:41:44:47:61:66:71:76 SD: 2.2169 cents 49:53:57:61:79:85:91:98 SD: 2.1846 cents 51:55:59:63:82:88:95:102 SD: 2.0817 cents 52:56:60:65:84:90:97:104 SD: 1.7582 cents 64:69:74:80:103:111:119:128 SD: 1.4365 cents 66:71:76:82:106:114:123:132 SD: 1.4317 cents 77:83:89:96:124:133:143:154 SD: 1.1121 cents 82:88:95:102:132:142:153:164 SD: 0.9450 cents 94:101:109:117:151:163:175:188 SD: 0.9350 cents 107:115:124:133:172:185:199:214 SD: 0.7145 cents 115:124:133:143:185:199:214:230 SD: 0.6984 cents 146:157:169:182:235:253:272:292 SD: 0.6707 cents 159:171:184:198:256:275:296:318 SD: 0.4016 cents 197:212:228:245:317:341:367:394 SD: 0.3953 cents 266:286:308:331:428:460:495:533 SD: 0.3690 cents 274:295:317:341:441:474:510:549 SD: 0.3365 cents 294:316:340:366:473:509:547:589 SD: 0.3166 cents 319:343:369:397:513:552:594:639 SD: 0.2248 cents 356:383:412:443:573:616:663:713 SD: 0.2101 cents 396:426:458:493:637:685:737:793 SD: 0.2098 cents 397:427:459:494:639:687:739:795 SD: 0.1827 cents 409:440:473:509:658:708:761:819 SD: 0.1683 cents 434:467:502:540:698:751:808:869 SD: 0.1677 cents 478:514:553:595:769:827:890:957 SD: 0.1503 cents 491:528:568:611:790:850:914:983 SD: 0.0973 cents