Scala analysis: xen18-erlich-negripent-09
1L 8s MOS for Negripent, L=192.70, 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: 504.560 cents 504.560000 5: 697.260 cents 697.260000 6: 823.400 cents 823.400000 7: 949.540 cents 949.540000 8: 1075.680 cents 1075.680000 9: 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: 192.7000 cents 192.7000 6: 126.1400 cents 126.1400 7: 126.1400 cents 126.1400 8: 126.1400 cents 126.1400 9: 126.1400 cents 126.1400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 8 126.14000 cents 1: 1 192.70000 cents 2: 7 252.28000 cents 2: 2 318.84000 cents 3: 6 378.42000 cents 3: 3 444.98000 cents 4: 5 504.56000 cents 4: 4 571.12000 cents 5: 4 630.70000 cents 5: 5 697.26000 cents 6: 3 756.84000 cents 6: 6 823.40000 cents 7: 2 882.98000 cents 7: 7 949.54000 cents 8: 1 1009.12000 cents 8: 8 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 8 9 0.0 : 126.1 252.3 378.4 504.6 697.3 823.4 949.5 1075.7 1201.8 126.1 : 126.1 252.3 378.4 571.1 697.3 823.4 949.5 1075.7 1201.8 252.3 : 126.1 252.3 445.0 571.1 697.3 823.4 949.5 1075.7 1201.8 378.4 : 126.1 318.8 445.0 571.1 697.3 823.4 949.5 1075.7 1201.8 504.6 : 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 1201.8 823.4 : 126.1 252.3 378.4 504.6 630.7 756.8 883.0 1075.7 1201.8 949.5 : 126.1 252.3 378.4 504.6 630.7 756.8 949.5 1075.7 1201.8 1075.7: 126.1 252.3 378.4 504.6 630.7 823.4 949.5 1075.7 1201.8 1201.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 126.1400 .. 192.7000 cents 66.56000 cents 126.14000 cents 2: 252.2800 .. 318.8400 cents 66.56000 cents 59.58000 cents 3: 378.4200 .. 444.9800 cents 66.56000 cents 59.58000 cents 4: 504.5600 .. 571.1200 cents 66.56000 cents 59.58000 cents 5: 630.7000 .. 697.2600 cents 66.56000 cents 59.58000 cents 6: 756.8400 .. 823.4000 cents 66.56000 cents 59.58000 cents 7: 882.9800 .. 949.5400 cents 66.56000 cents 59.58000 cents 8: 1009.1200 .. 1075.6800 cents 66.56000 cents 59.58000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 126.14000 cents, class 1 Average step (divided formal octave): 133.5356 cents Largest one step interval : 192.70000 cents Average / Smallest step : 1.058630 Largest / Average step : 1.443061 Largest / Smallest step : 1.527668 Median interval of one step : 126.14000 cents, amount: 8 Most common interval of one step : 126.14000 cents, amount: 8 Least squares average step : 134.31404 cents, oct.: 1208.82632 cents Scale is strictly proper Scale has Myhill's property chromas: 66.56000 cents and 59.58000 cents, ratio: 1.117153 generators: 1 of 126.14000 cents and 8 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 343-tone equal temperament with octave 1201.820 cents degrees: 36 72 108 144 199 235 271 307 343 generators: 36 and 307 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAABAAAA Step pattern size order : SSSSLSSSS Scale is a Constant Structure, by a margin of 59.58000 cents Scale diversity : 1.250395 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.556939 Rothenberg efficiency : 0.740741 redundancy: 0.259259 Efficiency x scale size : 6.666667 Number of different interval sizes : 16 = 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: 8 Scale is a chain of 4 triads 0.0 504.560 1075.680 cents Number of recognisable fifths : 5, average 697.2600 cents Number of recognisable fourths : 5, average 504.5600 cents Scale contains two identical disjunct pentachords Formal octave complements present : 9 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 4-5 -- Rational properties --
FIT/MODE
9: 1 1 1 1 1 1 1 1 1 SP B ME I SD: 19.0952 c. M: 29.5822 c. Pelog Nawanada: Sunda 10: 1 1 1 1 2 1 1 1 1 P M ME I SD: 15.3835 c. M:-23.8320 c. Yoyo & Latrizo-9 19: 2 2 2 2 3 2 2 2 2 SP M ME I SD: 0.9485 c. M: 1.4695 c. Negri-9 105: 11 11 11 11 17 11 11 11 11 SP M DE I SD: 0.6069 c. M:-0.9402 c. 124: 13 13 13 13 20 13 13 13 13 SP M DE I SD: 0.3686 c. M: 0.5710 c. 143: 15 15 15 15 23 15 15 15 15 SP M DE I SD: 0.1936 c. M: 0.2999 c. 162: 17 17 17 17 26 17 17 17 17 SP M DE I SD: 0.0596 c. M: 0.0923 c. 181: 19 19 19 19 29 19 19 19 19 SP M DE I SD: 0.0462 c. M: 0.0716 c. 343: 36 36 36 36 55 36 36 36 36 SP M DE I SD: 0.0038 c. M: 0.0058 c. 1210: 127 127 127 127 194 127 127 127 127 SP M DE I SD: 0.0037 c. M: 0.0058 c. 1553: 163 163 163 163 249 163 163 163 163 SP M DE I SD: 0.0021 c. M: 0.0032 c. 1896: 199 199 199 199 304 199 199 199 199 SP M DE I SD: 0.0010 c. M:-0.0016 c. 2239: 235 235 235 235 359 235 235 235 235 SP M DE I SD: 0.0003 c. M: 0.0004 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 1.8200 cents 2 x x x x 3 x x x 4 S SD: 2.5177 cents 3 x x x 4 x 5 x x 6 S SD: 20.4443 cents 4 x x 5 x 6 x 7 x 8 S SD: 5.3596 cents 5 x x 6:7 x 8 x 9:10 S SD: 23.2285 cents 6 x 7 x 8:9:10 x 11:12 S SD: 11.4130 cents 7 x 8:9 x 10:11:12:13:14 S SD: 15.6373 cents 8 x 9:10:11:12:13:14:15:16 S SD: 9.2173 cents 9:10 x 11:12:13:14:16:17:18 S SD: 14.8331 cents 10:11 x 12:13:15:16:17:19:20 SD: 12.6999 cents 11:12:13:14:15:16:18:19:20:22 S SD: 10.7856 cents 12:13:14:15:16:18:19:21:22:24 SD: 5.3717 cents 23:25:27:29:31:34:37:40:43:46 SD: 5.2130 cents 24:26:28:30:32:36:39:42:45:48 S SD: 4.0389 cents 26:28:30:32:35:39:42:45:48:52 SD: 3.0647 cents 36:39:42:45:48:54:58:62:67:72 SD: 2.6611 cents 38:41:44:47:51:57:61:66:71:76 SD: 1.8799 cents 52:56:60:65:70:78:84:90:97:104 SD: 1.8411 cents 53:57:61:66:71:79:85:92:99:106 SD: 1.6534 cents 56:60:65:70:75:84:90:97:104:112 SD: 1.5276 cents 64:69:74:80:86:96:103:111:119:128 SD: 1.4554 cents 65:70:75:81:87:97:105:112:121:130 SD: 1.3917 cents 77:83:89:96:103:115:124:133:143:154 SD: 0.9253 cents 89:96:103:111:119:133:143:154:166:178 SD: 0.9178 cents 95:102:110:118:127:142:153:164:177:190 SD: 0.8170 cents 103:111:119:128:138:154:166:178:192:206 SD: 0.7811 cents 107:115:124:133:143:160:172:185:199:214 SD: 0.6250 cents 115:124:133:143:154:172:185:199:214:230 SD: 0.5555 cents 159:171:184:198:213:238:256:275:296:318 SD: 0.3799 cents 254:273:294:316:340:380:409:440:473:509 SD: 0.3546 cents 266:286:308:331:356:398:428:460:495:533 SD: 0.2897 cents 304:327:352:378:407:455:489:526:566:609 SD: 0.2854 cents 319:343:369:397:427:477:513:552:594:639 SD: 0.1953 cents 397:427:459:494:531:594:639:687:739:795 SD: 0.1890 cents 434:467:502:540:581:649:698:751:808:869 SD: 0.1564 cents 478:514:553:595:640:715:769:827:890:957 SD: 0.1421 cents 568:611:657:707:760:850:914:983:1057:1137 SD: 0.1287 cents