Scala analysis: xen18-erlich-negripent-10
9L 1s MOS for Negripent, L=126.14, s=66.56
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: 504.560 cents 504.560000 5: 630.700 cents 630.700000 6: 697.260 cents 697.260000 7: 823.400 cents 823.400000 8: 949.540 cents 949.540000 9: 1075.680 cents 1075.680000 10: 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: 126.1400 cents 126.1400 5: 126.1400 cents 126.1400 6: 66.5600 cents 66.5600 7: 126.1400 cents 126.1400 8: 126.1400 cents 126.1400 9: 126.1400 cents 126.1400 10: 126.1400 cents 126.1400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 66.56000 cents 1: 9 126.14000 cents 2: 2 192.70000 cents 2: 8 252.28000 cents 3: 3 318.84000 cents 3: 7 378.42000 cents 4: 4 444.98000 cents 4: 6 504.56000 cents 5: 5 571.12000 cents 5: 5 630.70000 cents 6: 6 697.26000 cents 6: 4 756.84000 cents 7: 7 823.40000 cents 7: 3 882.98000 cents 8: 8 949.54000 cents 8: 2 1009.12000 cents 9: 9 1075.68000 cents 9: 1 1135.26000 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 8 9 10 0.0 : 126.1 252.3 378.4 504.6 630.7 697.3 823.4 949.5 1075.7 1201.8 126.1 : 126.1 252.3 378.4 504.6 571.1 697.3 823.4 949.5 1075.7 1201.8 252.3 : 126.1 252.3 378.4 445.0 571.1 697.3 823.4 949.5 1075.7 1201.8 378.4 : 126.1 252.3 318.8 445.0 571.1 697.3 823.4 949.5 1075.7 1201.8 504.6 : 126.1 192.7 318.8 445.0 571.1 697.3 823.4 949.5 1075.7 1201.8 630.7 : 66.6 192.7 318.8 445.0 571.1 697.3 823.4 949.5 1075.7 1201.8 697.3 : 126.1 252.3 378.4 504.6 630.7 756.8 883.0 1009.1 1135.3 1201.8 823.4 : 126.1 252.3 378.4 504.6 630.7 756.8 883.0 1009.1 1075.7 1201.8 949.5 : 126.1 252.3 378.4 504.6 630.7 756.8 883.0 949.5 1075.7 1201.8 1075.7: 126.1 252.3 378.4 504.6 630.7 756.8 823.4 949.5 1075.7 1201.8 1201.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 66.5600 .. 126.1400 cents 59.58000 cents 66.56000 cents 2: 192.7000 .. 252.2800 cents 59.58000 cents 66.56000 cents 3: 318.8400 .. 378.4200 cents 59.58000 cents 66.56000 cents 4: 444.9800 .. 504.5600 cents 59.58000 cents 66.56000 cents 5: 571.1200 .. 630.7000 cents 59.58000 cents 66.56000 cents 6: 697.2600 .. 756.8400 cents 59.58000 cents 66.56000 cents 7: 823.4000 .. 882.9800 cents 59.58000 cents 66.56000 cents 8: 949.5400 .. 1009.1200 cents 59.58000 cents 66.56000 cents 9: 1075.6800 .. 1135.2600 cents 59.58000 cents 66.56000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 66.56000 cents, class 1 Average step (divided formal octave): 120.1820 cents Largest one step interval : 126.14000 cents Average / Smallest step : 1.805619 Largest / Average step : 1.049575 Largest / Smallest step : 1.895132 Median interval of one step : 126.14000 cents, amount: 9 Most common interval of one step : 126.14000 cents, amount: 9 Least squares average step : 119.94987 cents, oct.: 1199.49870 cents Scale is strictly proper Scale has Myhill's property chromas: 59.58000 cents and 6.98000 cents, ratio: 8.535817 generators: 1 of 126.14000 cents and 9 of 1075.68000 cents ET pair of linear temperament : 10&19 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 1553-tone equal temperament with octave 1201.820 cents degrees: 163 326 489 652 815 901 1064 1227 1390 1553 generators: 163 and 1390 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAAABAAAA Step pattern size order : LLLLLSLLLL Scale is a Constant Structure, by a margin of 66.56000 cents Scale diversity : 1.276038 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.553827 Rothenberg efficiency : 0.733333 redundancy: 0.266667 Efficiency x scale size : 7.333333 Number of different interval sizes : 18 = 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: 9 Scale is a chain of 5 triads 0.0 504.560 1075.680 cents Most common triad is 0.0 126.140 1075.680 cents, amount: 8 Number of recognisable fifths : 6, average 697.2600 cents Number of recognisable fourths : 6, average 504.5600 cents Scale contains two identical disjunct pentachords Best minor thirds form a closed circle Formal octave complements present : 9 = 90.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 5-6 -- Rational properties --
FIT/MODE
10: 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 17.3704 c. M: 29.7900 c. 19: 2 2 2 2 2 1 2 2 2 2 SP M ME SD: 1.0711 c. M:-1.8368 c. 105: 11 11 11 11 11 6 11 11 11 11 SP M DE SD: 0.6853 c. M: 1.1752 c. 124: 13 13 13 13 13 7 13 13 13 13 SP M DE SD: 0.4162 c. M: 0.7137 c. 143: 15 15 15 15 15 8 15 15 15 15 SP M DE SD: 0.2186 c. M: 0.3748 c. 162: 17 17 17 17 17 9 17 17 17 17 SP M DE SD: 0.0673 c. M: 0.1154 c. 181: 19 19 19 19 19 10 19 19 19 19 SP M DE SD: 0.0522 c. M:-0.0895 c. 343: 36 36 36 36 36 19 36 36 36 36 SP M DE SD: 0.0042 c. M: 0.0073 c. 1210: 127 127 127 127 127 67 127 127 127 127 SP M DE SD: 0.0042 c. M:-0.0072 c. 1553: 163 163 163 163 163 86 163 163 163 163 SP M DE SD: 0.0023 c. M:-0.0040 c. 1896: 199 199 199 199 199 105 199 199 199 199 SP M DE SD: 0.0011 c. M:-0.0020 c. 2239: 235 235 235 235 235 124 235 235 235 235 SP M DE SD: 0.0003 c. M:-0.0005 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 1.8200 cents 2 x x x x x 3 x x x 4 S SD: 2.5177 cents 3 x x x 4 x x 5 x x 6 S SD: 20.4443 cents 4 x x 5 x x 6 x 7 x 8 S SD: 5.3596 cents 5 x x 6 x 7 x 8 x 9:10 S SD: 19.7328 cents 6 x 7 x 8 x 9:10 x 11:12 S SD: 11.4130 cents 7 x 8:9 x 10 x 11:12:13:14 S SD: 10.8729 cents 8 x 9:10:11 x 12:13:14:15:16 S SD: 9.2173 cents 9:10 x 11:12:13 x 14:16:17:18 S SD: 12.7713 cents 10:11 x 12:13:14:15:16:17:19:20 SD: 12.4942 cents 11:12:13:14:15:16 x 18:19:20:22 S SD: 9.5492 cents 12:13:14:15:16:17:18:19:21:22:24 SD: 5.5719 cents 13:14:15:16:17:19 x 21:23:24:26 SD: 7.3694 cents 14:15:16:17:19:20:21:23:24:26:28 SD: 6.8158 cents 15:16:17:19:20:22 x 24:26:28:30 SD: 6.7058 cents 18:19:21:22:24:26:27:29:31:34:36 SD: 5.5276 cents 20:22:23:25:27:29:30:32:35:37:40 SD: 5.1642 cents 21:23:24:26:28:30:31:34:36:39:42 SD: 5.1522 cents 23:25:27:29:31:33:34:37:40:43:46 SD: 4.7262 cents 24:26:28:30:32:35:36:39:42:45:48 SD: 4.2742 cents 25:27:29:31:33:36:37:40:43:47:50 SD: 3.9132 cents 26:28:30:32:35:37:39:42:45:48:52 SD: 3.4002 cents 30:32:35:37:40:43:45:48:52:56:60 SD: 3.0080 cents 36:39:42:45:48:52:54:58:62:67:72 SD: 2.4670 cents 38:41:44:47:51:55:57:61:66:71:76 SD: 1.9364 cents 50:54:58:62:67:72:75:80:87:93:100 SD: 1.7953 cents 52:56:60:65:70:75:78:84:90:97:104 SD: 1.6906 cents 53:57:61:66:71:76:79:85:92:99:106 SD: 1.6316 cents 56:60:65:70:75:81:84:90:97:104:112 SD: 1.6057 cents 57:61:66:71:76:82:85:92:99:106:114 SD: 1.5136 cents 64:69:74:80:86:92:96:103:111:119:128 SD: 1.3321 cents 66:71:76:82:88:95:99:106:114:123:132 SD: 1.2843 cents 77:83:89:96:103:111:115:124:133:143:154 SD: 0.8682 cents 89:96:103:111:119:128:133:143:154:166:178 SD: 0.8410 cents 95:102:110:118:127:137:142:153:164:177:190 SD: 0.7984 cents 103:111:119:128:138:148:154:166:178:192:206 SD: 0.7706 cents 107:115:124:133:143:154:160:172:185:199:214 SD: 0.5634 cents 159:171:184:198:213:229:238:256:275:296:318 SD: 0.3532 cents 266:286:308:331:356:383:398:428:460:495:533 SD: 0.2638 cents 307:330:355:382:411:442:459:494:531:571:615 SD: 0.2619 cents 319:343:369:397:427:459:477:513:552:594:639 SD: 0.1921 cents 369:397:427:459:494:531:552:594:639:687:739 SD: 0.1904 cents 396:426:458:493:530:570:592:637:685:737:793 SD: 0.1868 cents 434:467:502:540:581:625:649:698:751:808:869 SD: 0.1569 cents 476:512:551:592:637:685:712:766:824:886:953 SD: 0.1560 cents 478:514:553:595:640:688:715:769:827:890:957 SD: 0.1298 cents 594:639:687:739:795:855:889:956:1028:1106:1189 SD: 0.1280 cents