Scala analysis: xen18-erlich-bug-09
5L 4s MOS for Bug, L=158.8, s=101.5
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 158.800 cents 158.800000 2: 260.300 cents 260.300000 3: 419.100 cents 419.100000 4: 520.600 cents 520.600000 5: 679.400 cents 679.400000 6: 780.900 cents 780.900000 7: 939.700 cents 939.700000 8: 1041.200 cents 1041.200000 9: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 158.8000 cents 158.8000 1: 158.8000 cents 158.8000 2: 101.5000 cents 101.5000 3: 158.8000 cents 158.8000 4: 101.5000 cents 101.5000 5: 158.8000 cents 158.8000 6: 101.5000 cents 101.5000 7: 158.8000 cents 158.8000 8: 101.5000 cents 101.5000 9: 158.8000 cents 158.8000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 101.50000 cents 1: 5 158.80000 cents 2: 8 260.30000 cents 2: 1 317.60000 cents 3: 3 361.80000 cents 3: 6 419.10000 cents 4: 7 520.60000 cents 4: 2 577.90000 cents 5: 2 622.10000 cents 5: 7 679.40000 cents 6: 6 780.90000 cents 6: 3 838.20000 cents 7: 1 882.40000 cents 7: 8 939.70000 cents 8: 5 1041.20000 cents 8: 4 1098.50000 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 : 158.8 260.3 419.1 520.6 679.4 780.9 939.7 1041.2 1200.0 158.8 : 101.5 260.3 361.8 520.6 622.1 780.9 882.4 1041.2 1200.0 260.3 : 158.8 260.3 419.1 520.6 679.4 780.9 939.7 1098.5 1200.0 419.1 : 101.5 260.3 361.8 520.6 622.1 780.9 939.7 1041.2 1200.0 520.6 : 158.8 260.3 419.1 520.6 679.4 838.2 939.7 1098.5 1200.0 679.4 : 101.5 260.3 361.8 520.6 679.4 780.9 939.7 1041.2 1200.0 780.9 : 158.8 260.3 419.1 577.9 679.4 838.2 939.7 1098.5 1200.0 939.7 : 101.5 260.3 419.1 520.6 679.4 780.9 939.7 1041.2 1200.0 1041.2: 158.8 317.6 419.1 577.9 679.4 838.2 939.7 1098.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 101.5000 .. 158.8000 cents 57.30000 cents 101.50000 cents 2: 260.3000 .. 317.6000 cents 57.30000 cents 101.50000 cents 3: 361.8000 .. 419.1000 cents 57.30000 cents 44.20000 cents 4: 520.6000 .. 577.9000 cents 57.30000 cents 101.50000 cents 5: 622.1000 .. 679.4000 cents 57.30000 cents 44.20000 cents 6: 780.9000 .. 838.2000 cents 57.30000 cents 101.50000 cents 7: 882.4000 .. 939.7000 cents 57.30000 cents 44.20000 cents 8: 1041.2000 .. 1098.5000 cents 57.30000 cents 101.50000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 101.50000 cents, class 1 Average step (divided formal octave): 133.3333 cents Largest one step interval : 158.80000 cents Average / Smallest step : 1.313629 Largest / Average step : 1.191000 Largest / Smallest step : 1.564532 Median interval of one step : 158.80000 cents, amount: 5 Most common interval of one step : 158.80000 cents, amount: 5 Least squares average step : 132.66316 cents, oct.: 1193.96842 cents Scale is strictly proper Scale has Myhill's property chromas: 57.30000 cents and 44.20000 cents, ratio: 1.296380 generators: 2 of 260.30000 cents and 7 of 939.70000 cents ET pair of linear temperament : 14&23 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 733-tone equal temperament with octave 1200.000 cents degrees: 97 159 256 318 415 477 574 636 733 generators: 159 and 574 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABABA Step pattern size order : LSLSLSLSL Scale is a Constant Structure, by a margin of 44.20000 cents Scale diversity : 1.242356 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.618000 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 : 44.20000 cents Most common intervals : 260.30000 cents & inv., amount: 8 Scale is a chain of 4 triads 0.0 260.300 520.600 cents Most common triad is 0.0 260.300 939.700 cents, amount: 7 Number of recognisable fifths : 0 Scale contains two identical conjunct pentachords Formal octave complements present : 9 = 100.0000% 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: 16.4387 c. M: 25.4667 c. Pelog Nawanada: Sunda 14: 2 1 2 1 2 1 2 1 2 P M ME I SD: 8.1517 c. M: 12.6286 c. Semaphore-9 23: 3 2 3 2 3 2 3 2 3 SP M ME I SD: 1.4706 c. M: 2.2783 c. Stearns 9-tone, Semaphore-9 60: 8 5 8 5 8 5 8 5 8 SP M DE I SD: 0.7746 c. M: 1.2000 c. 83: 11 7 11 7 11 7 11 7 11 SP M DE I SD: 0.1524 c. M: 0.2361 c. 189: 25 16 25 16 25 16 25 16 25 SP M DE I SD: 0.0451 c. M: 0.0698 c. 272: 36 23 36 23 36 23 36 23 36 SP M DE I SD: 0.0152 c. M: 0.0235 c. 461: 61 39 61 39 61 39 61 39 61 SP M DE I SD: 0.0095 c. M: 0.0148 c. 733: 97 62 97 62 97 62 97 62 97 SP M DE I SD: 0.0004 c. M: 0.0005 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x x 4 S SD: 11.2775 cents 3 x x x 4 x x 5 x 6 S SD: 19.9204 cents 4 x x 5 x 6 x 7 x 8 S SD: 12.3288 cents 5 x 6 x 7 x 8 x 9:10 S SD: 18.4693 cents 6 x 7 x 8:9 x 10:11:12 S SD: 10.7883 cents 7 x 8:9 x 10:11:12:13:14 S SD: 10.9851 cents 8:9 x 10:11:12:13:14:15:16 S SD: 13.2178 cents 9:10 x 11:12:13:14:15:16:18 S SD: 14.4639 cents 10:11:12:13:14:15:16:17:18:20 S SD: 11.5211 cents 11:12:13:14:15:16:17:19:20:22 SD: 6.0244 cents 18:20:21:23:24:27:28:31:33:36 SD: 4.9312 cents 19:21:22:24:26:28:30:33:35:38 SD: 4.5257 cents 23:25:27:29:31:34:36:40:42:46 SD: 3.8687 cents 25:27:29:32:34:37:39:43:46:50 SD: 3.8530 cents 29:32:34:37:39:43:46:50:53:58 SD: 3.0844 cents 32:35:37:41:43:47:50:55:58:64 SD: 2.8893 cents 37:41:43:47:50:55:58:64:68:74 SD: 2.8794 cents 39:43:45:50:53:58:61:67:71:78 SD: 2.7637 cents 40:44:46:51:54:59:63:69:73:80 SD: 2.4071 cents 43:47:50:55:58:64:68:74:78:86 SD: 2.2877 cents 44:48:51:56:59:65:69:76:80:88 SD: 2.0889 cents 51:56:59:65:69:76:80:88:93:102 SD: 1.6981 cents 54:59:63:69:73:80:85:93:99:108 SD: 1.5431 cents 62:68:72:79:84:92:97:107:113:124 SD: 1.1679 cents 74:81:86:94:100:110:116:127:135:148 SD: 1.1457 cents 85:93:99:108:115:126:133:146:155:170 SD: 1.1121 cents 91:100:106:116:123:135:143:157:166:182 SD: 0.9424 cents 105:115:122:134:142:155:165:181:192:210 SD: 0.9108 cents 112:123:130:143:151:166:176:193:204:224 SD: 0.8935 cents 114:125:132:145:154:169:179:196:208:228 SD: 0.8386 cents 116:127:135:148:157:172:182:200:212:232 SD: 0.8161 cents 117:128:136:149:158:173:184:201:213:234 SD: 0.7783 cents 123:135:143:157:166:182:193:212:224:246 SD: 0.7150 cents 125:137:145:159:169:185:196:215:228:250 SD: 0.5726 cents 135:148:157:172:182:200:212:232:246:270 SD: 0.5579 cents 154:169:179:196:208:228:242:265:281:308 SD: 0.3443 cents 179:196:208:228:242:265:281:308:327:358 SD: 0.3395 cents 240:263:279:306:324:355:377:413:438:480 SD: 0.3006 cents 291:319:338:371:393:431:457:501:531:582 SD: 0.2399 cents 302:331:351:385:408:447:474:520:551:604 SD: 0.2033 cents 314:344:365:400:424:465:493:540:573:628 SD: 0.1739 cents 376:412:437:479:508:557:590:647:686:752 SD: 0.1623 cents 456:500:530:581:616:675:716:785:832:912 SD: 0.1236 cents 530:581:616:675:716:785:832:912:967:1060 SD: 0.0963 cents