Scala analysis: xen18-erlich-negrisept-09
1L 8s MOS for Negrisept, L=204.47, s=124.84
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 124.840 cents 124.840000 2: 249.680 cents 249.680000 3: 374.520 cents 374.520000 4: 499.360 cents 499.360000 5: 703.830 cents 703.830000 6: 828.670 cents 828.670000 7: 953.510 cents 953.510000 8: 1078.350 cents 1078.350000 9: 1203.190 cents 1203.190000
SHOW/INTERVAL
0: 124.8400 cents 124.8400 1: 124.8400 cents 124.8400 2: 124.8400 cents 124.8400 3: 124.8400 cents 124.8400 4: 124.8400 cents 124.8400 5: 204.4700 cents 204.4700 6: 124.8400 cents 124.8400 7: 124.8400 cents 124.8400 8: 124.8400 cents 124.8400 9: 124.8400 cents 124.8400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 8 124.84000 cents 1: 1 204.47000 cents 2: 7 249.68000 cents 2: 2 329.31000 cents 3: 6 374.52000 cents 3: 3 454.15000 cents 4: 5 499.36000 cents 4: 4 578.99000 cents 5: 4 624.20000 cents 5: 5 703.83000 cents 6: 3 749.04000 cents 6: 6 828.67000 cents 7: 2 873.88000 cents 7: 7 953.51000 cents 8: 1 998.72000 cents 8: 8 1078.35000 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 : 124.8 249.7 374.5 499.4 703.8 828.7 953.5 1078.3 1203.2 124.8 : 124.8 249.7 374.5 579.0 703.8 828.7 953.5 1078.3 1203.2 249.7 : 124.8 249.7 454.2 579.0 703.8 828.7 953.5 1078.3 1203.2 374.5 : 124.8 329.3 454.2 579.0 703.8 828.7 953.5 1078.3 1203.2 499.4 : 204.5 329.3 454.1 579.0 703.8 828.7 953.5 1078.3 1203.2 703.8 : 124.8 249.7 374.5 499.4 624.2 749.0 873.9 998.7 1203.2 828.7 : 124.8 249.7 374.5 499.4 624.2 749.0 873.9 1078.4 1203.2 953.5 : 124.8 249.7 374.5 499.4 624.2 749.0 953.5 1078.3 1203.2 1078.3: 124.8 249.7 374.5 499.4 624.2 828.7 953.5 1078.4 1203.2 1203.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 124.8400 .. 204.4700 cents 79.63000 cents 124.84000 cents 2: 249.6800 .. 329.3100 cents 79.63000 cents 45.21000 cents 3: 374.5200 .. 454.1500 cents 79.63000 cents 45.21000 cents 4: 499.3600 .. 578.9900 cents 79.63000 cents 45.21000 cents 5: 624.2000 .. 703.8300 cents 79.63000 cents 45.21000 cents 6: 749.0400 .. 828.6700 cents 79.63000 cents 45.21000 cents 7: 873.8800 .. 953.5100 cents 79.63000 cents 45.21000 cents 8: 998.7200 .. 1078.3500 cents 79.63000 cents 45.21000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 124.84000 cents, class 1 Average step (divided formal octave): 133.6878 cents Largest one step interval : 204.47000 cents Average / Smallest step : 1.070873 Largest / Average step : 1.529459 Largest / Smallest step : 1.637856 Median interval of one step : 124.84000 cents, amount: 8 Most common interval of one step : 124.84000 cents, amount: 8 Least squares average step : 134.61912 cents, oct.: 1211.57211 cents Scale is strictly proper Scale has Myhill's property chromas: 79.63000 cents and 45.21000 cents, ratio: 1.761336 generators: 1 of 124.84000 cents and 8 of 1078.35000 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 559-tone equal temperament with octave 1203.190 cents degrees: 58 116 174 232 327 385 443 501 559 generators: 58 and 501 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 45.21000 cents Scale diversity : 1.230121 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.470541 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 : 45.21000 cents Most common intervals : 124.84000 cents & inv., amount: 8 Scale is a chain of 4 triads 0.0 499.360 1078.350 cents Number of recognisable fifths : 5, average 703.8300 cents Number of recognisable fourths : 5, average 499.3600 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: 22.8449 c. M: 35.3911 c. Pelog Nawanada: Sunda 10: 1 1 1 1 2 1 1 1 1 P M ME I SD: 11.6732 c. M: 18.0840 c. Yoyo & Latrizo-9 19: 2 2 2 2 3 2 2 2 2 SP M ME I SD: 4.6775 c. M: 7.2463 c. Negri-9 29: 3 3 3 3 5 3 3 3 3 SP M DE I SD: 0.9607 c. M: 1.4883 c. Negri-9 77: 8 8 8 8 13 8 8 8 8 SP M DE I SD: 0.4306 c. M: 0.6670 c. Negri-9 106: 11 11 11 11 18 11 11 11 11 SP M DE I SD: 0.0499 c. M: 0.0774 c. 347: 36 36 36 36 59 36 36 36 36 SP M DE I SD: 0.0345 c. M: 0.0535 c. 453: 47 47 47 47 77 47 47 47 47 SP M DE I SD: 0.0148 c. M: 0.0229 c. 559: 58 58 58 58 95 58 58 58 58 SP M DE I SD: 0.0025 c. M: 0.0039 c. 1224: 127 127 127 127 208 127 127 127 127 SP M DE I SD: 0.0020 c. M: 0.0032 c. 1783: 185 185 185 185 303 185 185 185 185 SP M DE I SD: 0.0006 c. M: 0.0010 c. 2342: 243 243 243 243 398 243 243 243 243 SP M DE I SD: 0.0001 c. M: 0.0002 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 3.1900 cents 2 x x x x 3 x x x 4 S SD: 1.8501 cents 3 x x x 4 x 5 x x 6 S SD: 18.5985 cents 4 x x 5 x 6 x 7 x 8 S SD: 4.9204 cents 5 x x 6:7 x 8 x 9:10 S SD: 23.9221 cents 6 x 7 x 8:9:10 x 11:12 S SD: 10.8684 cents 7 x 8:9 x x 11:12:13:14 SD: 13.5530 cents 8 x 9:10:11:12:13:14:15:16 S SD: 9.2033 cents 9:10 x 11:12:14:15:16:17:18 S SD: 14.3730 cents 10:11 x 12:13:15:16:17:19:20 SD: 12.2800 cents 11:12:13:14:15:17:18:19:21:22 SD: 11.2744 cents 12:13:14:15:16:18:19:21:22:24 SD: 5.8898 cents 18:19:21:22:24:27:29:31:34:36 SD: 5.7727 cents 21:23:24:26:28:32:34:36:39:42 SD: 5.6414 cents 24:26:28:30:32:36:39:42:45:48 S SD: 3.7055 cents 26:28:30:32:35:39:42:45:48:52 SD: 3.1267 cents 37:40:43:46:49:56:60:64:69:74 SD: 2.8920 cents 38:41:44:47:51:57:61:66:71:76 SD: 2.0039 cents 50:54:58:62:67:75:81:87:93:100 SD: 1.8680 cents 52:56:60:65:69:78:84:90:97:104 SD: 1.8588 cents 54:58:62:67:72:81:87:94:101:108 SD: 1.5975 cents 65:70:75:81:87:98:105:113:121:130 SD: 1.4432 cents 66:71:76:82:88:99:107:114:123:132 SD: 1.4234 cents 78:84:90:97:104:117:126:135:145:156 SD: 0.9999 cents 90:97:104:112:120:135:145:156:168:180 SD: 0.9380 cents 96:103:111:119:128:144:155:167:179:192 SD: 0.8593 cents 104:112:120:129:139:156:168:180:194:208 SD: 0.8466 cents 108:116:125:134:144:162:174:187:201:216 SD: 0.8370 cents 116:125:134:144:155:174:187:201:216:232 SD: 0.7973 cents 117:126:135:145:156:176:189:203:218:234 SD: 0.7855 cents 132:142:152:164:176:198:213:229:246:264 SD: 0.7829 cents 135:145:156:168:180:203:218:234:252:270 SD: 0.7315 cents 147:158:170:183:196:221:237:255:274:295 SD: 0.7252 cents 148:159:171:184:197:222:239:257:276:297 SD: 0.7023 cents 149:160:172:185:199:224:240:258:278:299 SD: 0.7004 cents 150:161:173:186:200:225:242:260:280:301 SD: 0.6654 cents 161:173:186:200:215:242:260:279:300:323 SD: 0.4362 cents 174:187:201:216:232:261:281:302:324:349 SD: 0.4307 cents 200:215:231:248:267:300:323:347:373:401 SD: 0.3870 cents 212:228:245:263:283:318:342:368:395:425 SD: 0.3786 cents 215:231:248:267:287:323:347:373:401:431 SD: 0.3370 cents 227:244:262:282:303:341:366:394:423:455 SD: 0.3353 cents 257:276:297:319:343:386:415:446:479:515 SD: 0.2387 cents 323:347:373:401:431:485:521:560:602:647 SD: 0.1918 cents 347:373:401:431:463:521:560:602:647:695 SD: 0.1522 cents 508:546:587:631:678:763:820:881:947:1018 SD: 0.1405 cents 547:588:632:679:730:821:883:949:1020:1096 SD: 0.1342 cents 562:604:649:698:750:844:907:975:1048:1126 SD: 0.1155 cents