Scala analysis: xen18-erlich-doublewide-14
4L 10s MOS for Doublewide, L=163.04, s=54.64
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 54.640 cents 54.640000 2: 217.680 cents 217.680000 3: 272.320 cents 272.320000 4: 326.960 cents 326.960000 5: 381.600 cents 381.600000 6: 544.640 cents 544.640000 7: 599.280 cents 599.280000 8: 653.920 cents 653.920000 9: 816.960 cents 816.960000 10: 871.600 cents 871.600000 11: 926.240 cents 926.240000 12: 980.880 cents 980.880000 13: 1143.920 cents 1143.920000 14: 1198.560 cents 1198.560000
SHOW/INTERVAL
0: 54.6400 cents 54.6400 1: 54.6400 cents 54.6400 2: 163.0400 cents 163.0400 3: 54.6400 cents 54.6400 4: 54.6400 cents 54.6400 5: 54.6400 cents 54.6400 6: 163.0400 cents 163.0400 7: 54.6400 cents 54.6400 8: 54.6400 cents 54.6400 9: 163.0400 cents 163.0400 10: 54.6400 cents 54.6400 11: 54.6400 cents 54.6400 12: 54.6400 cents 54.6400 13: 163.0400 cents 163.0400 14: 54.6400 cents 54.6400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 10 54.64000 cents 1: 4 163.04000 cents 2: 6 109.28000 cents 2: 8 217.68000 cents 3: 2 163.92000 cents 3: 12 272.32000 cents 4: 12 326.96000 cents 4: 2 435.36000 cents 5: 8 381.60000 cents 5: 6 490.00000 cents 6: 4 436.24000 cents 6: 10 544.64000 cents 7: 14 599.28000 cents 8: 10 653.92000 cents 8: 4 762.32000 cents 9: 6 708.56000 cents 9: 8 816.96000 cents 10: 2 763.20000 cents 10: 12 871.60000 cents 11: 12 926.24000 cents 11: 2 1034.64000 cents 12: 8 980.88000 cents 12: 6 1089.28000 cents 13: 4 1035.52000 cents 13: 10 1143.92000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.92308 = 25/13
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 0.0 : 54.6 217.7 272.3 327.0 381.6 544.6 599.3 653.9 817.0 871.6 926.2 980.9 1143.9 1198.6 54.6 : 163.0 217.7 272.3 327.0 490.0 544.6 599.3 762.3 817.0 871.6 926.2 1089.3 1143.9 1198.6 217.7 : 54.6 109.3 163.9 327.0 381.6 436.2 599.3 653.9 708.6 763.2 926.2 980.9 1035.5 1198.6 272.3 : 54.6 109.3 272.3 327.0 381.6 544.6 599.3 653.9 708.6 871.6 926.2 980.9 1143.9 1198.6 327.0 : 54.6 217.7 272.3 327.0 490.0 544.6 599.3 653.9 817.0 871.6 926.2 1089.3 1143.9 1198.6 381.6 : 163.0 217.7 272.3 435.4 490.0 544.6 599.3 762.3 817.0 871.6 1034.6 1089.3 1143.9 1198.6 544.6 : 54.6 109.3 272.3 327.0 381.6 436.2 599.3 653.9 708.6 871.6 926.2 980.9 1035.5 1198.6 599.3 : 54.6 217.7 272.3 327.0 381.6 544.6 599.3 653.9 817.0 871.6 926.2 980.9 1143.9 1198.6 653.9 : 163.0 217.7 272.3 327.0 490.0 544.6 599.3 762.3 817.0 871.6 926.2 1089.3 1143.9 1198.6 817.0 : 54.6 109.3 163.9 327.0 381.6 436.2 599.3 653.9 708.6 763.2 926.2 980.9 1035.5 1198.6 871.6 : 54.6 109.3 272.3 327.0 381.6 544.6 599.3 653.9 708.6 871.6 926.2 980.9 1143.9 1198.6 926.2 : 54.6 217.7 272.3 327.0 490.0 544.6 599.3 653.9 817.0 871.6 926.2 1089.3 1143.9 1198.6 980.9 : 163.0 217.7 272.3 435.4 490.0 544.6 599.3 762.3 817.0 871.6 1034.6 1089.3 1143.9 1198.6 1143.9: 54.6 109.3 272.3 327.0 381.6 436.2 599.3 653.9 708.6 871.6 926.2 980.9 1035.5 1198.6 1198.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 54.6400 .. 163.0400 cents 108.40000 cents 54.64000 cents 2: 109.2800 .. 217.6800 cents 108.40000 cents -53.76000 cents 3: 163.9200 .. 272.3200 cents 108.40000 cents -53.76000 cents 4: 326.9600 .. 435.3600 cents 108.40000 cents 54.64000 cents 5: 381.6000 .. 490.0000 cents 108.40000 cents -53.76000 cents 6: 436.2400 .. 544.6400 cents 108.40000 cents -53.76000 cents 7: 599.2800 .. 599.2800 cents 1/1, 0.0000 cents 54.64000 cents 8: 653.9200 .. 762.3200 cents 108.40000 cents 54.64000 cents 9: 708.5600 .. 816.9600 cents 108.40000 cents -53.76000 cents 10: 763.2000 .. 871.6000 cents 108.40000 cents -53.76000 cents 11: 926.2400 .. 1034.6400 cents 108.40000 cents 54.64000 cents 12: 980.8800 .. 1089.2800 cents 108.40000 cents -53.76000 cents 13: 1035.5200 .. 1143.9200 cents 108.40000 cents -53.76000 cents
SHOW DATA
Number of notes : 14 -- Interval properties -- Smallest interval : 54.64000 cents, class 1 Average step (divided formal octave): 85.6114 cents Largest one step interval : 163.04000 cents Average / Smallest step : 1.566827 Largest / Average step : 1.904419 Largest / Smallest step : 2.983895 Median interval of one step : 54.64000 cents, amount: 10 Most common interval of one step : 54.64000 cents, amount: 10 Least squares average step : 85.61143 cents, oct.: 1198.56000 cents Scale is not proper Scale has 2 repeating blocks of 7 notes Blocks have Myhill's property chromas: 108.40000 cents and 53.76000 cents, ratio: 2.016369 generators: 3 of 272.32000 cents and 4 of 326.96000 cents ET pair of linear temperament : 22&1360 Scale is distributional even Scale is a mode of a 1338-tone equal temperament with octave 1198.560 cents degrees: 61 243 304 365 426 608 669 730 912 973 1034 1095 1277 1338 Least number of segments generator : 671 of 601.072 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 973 of 871.599 cents and inv. generated superset size: 676 = 662 more = 4828.571% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAAABAABAAABA Step pattern size order : SLSSSLSSLSSSLS Scale is a Constant Structure, by a margin of 0.88000 cents Scale diversity : 1.174362 Lumma stability : 0.273528 Lumma impropriety factor : 0.358831 Number of different interval sizes : 25 = 1.92308 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.92308 = 25/13 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 0.88000 cents Most common intervals : 599.28000 cents & inv., amount: 14 Number of recognisable fifths : 6, average 708.5600 cents Number of recognisable fourths : 6, average 490.0000 cents Scale contains two identical disjunct heptachords Formal octave complements present : 14 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 7 Limited inverse transpositions : 7 Inversional symmetry on degrees : 0 7 Inversional symmetry on intervals : 3-4 10-11 -- Rational properties --
FIT/MODE
14: 1 2 0 1 0 2 1 1 2 0 1 0 2 1 N B D3 I SD: 27.9392 c. M: 39.1543 c. 16: 1 2 1 0 1 2 1 1 2 1 0 1 2 1 N B D3 I SD: 18.5700 c. M: 27.3200 c. 18: 1 2 1 1 1 2 1 1 2 1 1 1 2 1 P B ME I SD: 11.9467 c. M: 17.9200 c. 22: 1 3 1 1 1 3 1 1 3 1 1 1 3 1 N B DE I SD: 0.1600 c. M: 0.2400 c. 700: 32 95 32 32 32 95 32 32 95 32 32 32 95 32 N B DE I SD: 0.1513 c. M: 0.2270 c. 722: 33 98 33 33 33 98 33 33 98 33 33 33 98 33 N B DE I SD: 0.1418 c. M: 0.2127 c. 744: 34 101 34 34 34 101 34 34 101 34 34 34 101 34 N B DE I SD: 0.1329 c. M: 0.1994 c. 766: 35 104 35 35 35 104 35 35 104 35 35 35 104 35 N B DE I SD: 0.1245 c. M: 0.1867 c. 788: 36 107 36 36 36 107 36 36 107 36 36 36 107 36 N B DE I SD: 0.1165 c. M: 0.1748 c. 810: 37 110 37 37 37 110 37 37 110 37 37 37 110 37 N B DE I SD: 0.1090 c. M: 0.1636 c. 832: 38 113 38 38 38 113 38 38 113 38 38 38 113 38 N B DE I SD: 0.1019 c. M: 0.1529 c. 854: 39 116 39 39 39 116 39 39 116 39 39 39 116 39 N B DE I SD: 0.0952 c. M: 0.1428 c. 876: 40 119 40 40 40 119 40 40 119 40 40 40 119 40 N B DE I SD: 0.0888 c. M: 0.1332 c. 898: 41 122 41 41 41 122 41 41 122 41 41 41 122 41 N B DE I SD: 0.0827 c. M: 0.1240 c. 920: 42 125 42 42 42 125 42 42 125 42 42 42 125 42 N B DE I SD: 0.0769 c. M: 0.1153 c. 942: 43 128 43 43 43 128 43 43 128 43 43 43 128 43 N B DE I SD: 0.0713 c. M: 0.1070 c. 964: 44 131 44 44 44 131 44 44 131 44 44 44 131 44 N B DE I SD: 0.0661 c. M: 0.0991 c. 986: 45 134 45 45 45 134 45 45 134 45 45 45 134 45 N B DE I SD: 0.0610 c. M: 0.0915 c. 1008: 46 137 46 46 46 137 46 46 137 46 46 46 137 46 N B DE I SD: 0.0562 c. M: 0.0843 c. 1030: 47 140 47 47 47 140 47 47 140 47 47 47 140 47 N B DE I SD: 0.0516 c. M: 0.0774 c. 1052: 48 143 48 48 48 143 48 48 143 48 48 48 143 48 N B DE I SD: 0.0471 c. M: 0.0707 c. 1074: 49 146 49 49 49 146 49 49 146 49 49 49 146 49 N B DE I SD: 0.0429 c. M: 0.0644 c. 1096: 50 149 50 50 50 149 50 50 149 50 50 50 149 50 N B DE I SD: 0.0388 c. M: 0.0582 c. 1118: 51 152 51 51 51 152 51 51 152 51 51 51 152 51 N B DE I SD: 0.0349 c. M: 0.0524 c. 1140: 52 155 52 52 52 155 52 52 155 52 52 52 155 52 N B DE I SD: 0.0312 c. M: 0.0467 c. 1162: 53 158 53 53 53 158 53 53 158 53 53 53 158 53 N B DE I SD: 0.0275 c. M: 0.0413 c. 1184: 54 161 54 54 54 161 54 54 161 54 54 54 161 54 N B DE I SD: 0.0241 c. M: 0.0361 c. 1206: 55 164 55 55 55 164 55 55 164 55 55 55 164 55 N B DE I SD: 0.0207 c. M: 0.0310 c. 1228: 56 167 56 56 56 167 56 56 167 56 56 56 167 56 N B DE I SD: 0.0175 c. M: 0.0262 c. 1250: 57 170 57 57 57 170 57 57 170 57 57 57 170 57 N B DE I SD: 0.0143 c. M: 0.0215 c. 1272: 58 173 58 58 58 173 58 58 173 58 58 58 173 58 N B DE I SD: 0.0113 c. M: 0.0170 c. 1294: 59 176 59 59 59 176 59 59 176 59 59 59 176 59 N B DE I SD: 0.0084 c. M: 0.0126 c. 1316: 60 179 60 60 60 179 60 60 179 60 60 60 179 60 N B DE I SD: 0.0056 c. M: 0.0084 c. 1338: 61 182 61 61 61 182 61 61 182 61 61 61 182 61 N B DE I SD: 0.0029 c. M: 0.0043 c. 1360: 62 185 62 62 62 185 62 62 185 62 62 62 185 62 N B DE I SD: 0.0002 c. M: 0.0004 c.
FIT/HARMONIC
1 x x x x x x x x x x x x x 2 S SD: 1.4400 cents 2 x x x x x x x 3 x x x x x 4 S SD: 24.0283 cents 3 x x x x x 4 x x x 5 x x x 6 S SD: 16.1106 cents 4 x x x x 5 x x 6 x x x 7 x 8 S SD: 12.4423 cents 5 x x x 6 x x 7 x 8 x x 9 x 10 S SD: 8.4146 cents 6 x x 7 x x 8 x 9 x 10 x 11 x 12 S SD: 16.1270 cents 7 x 8 x x 9 x 10 x 11 x 12 x x 14 S SD: 11.3183 cents 8 x 9 x x 10:11 x 12:13 x x 14:15:16 S SD: 9.9716 cents 9 x 10 x 11 x 12 x 13:14:15 x 16:17:18 S SD: 10.5854 cents 10 x 11 x 12 x x 14:15:16 x 17:18:19:20 S SD: 9.9260 cents 11 x 12:13 x 14:15 x 16 x 18:19 x 21:22 SD: 9.6326 cents 12 x x 14 x 15:16:17:18:19:20 x 21:23:24 SD: 7.4981 cents 13:14 x 15 x 16:18 x 19:21 x 22:23:25:26 SD: 8.6512 cents 14:15:16 x 17 x 19:20 x 22:23:24:25:27:28 SD: 7.6112 cents 15:16:17 x 18:19 x 21:22:24:25:26 x 29:30 SD: 6.6659 cents 16:17:18:19 x 20:22 x 23:26 x 27:28:31:32 SD: 6.5553 cents 17:18:19:20 x 21:23:24:25:27:28:29:30:33:34 SD: 4.8172 cents 18:19:20:21:22 x 25 x 26:29:30:31:32:35:36 SD: 5.7954 cents 19:20 x 22:23:24:26:27:28:30:31:32:33:37:38 SD: 5.4367 cents 20:21:23 x 24:25:27:28:29:32:33:34:35:39:40 SD: 4.2420 cents 21:22:24 x 25:26:29:30:31:34:35:36:37:41:42 SD: 4.4084 cents 22:23:25:26 x 27:30:31:32:35:36:38:39:43:44 SD: 4.1786 cents 24:25:27:28:29:30:33:34:35:38:40:41:42:46:48 SD: 2.8897 cents 28:29:32:33:34:35:38:40:41:45:46:48:49:54:56 SD: 2.7740 cents 29:30:33:34:35:36:40:41:42:46:48:50:51:56:58 SD: 2.3452 cents 35:36:40:41:42:44:48:49:51:56:58:60:62:68:70 SD: 2.2975 cents 37:38:42:43:45:46:51:52:54:59:61:63:65:72:74 SD: 2.0915 cents 43:44:49:50:52:54:59:61:63:69:71:73:76:83:86 SD: 2.0885 cents 46:47:52:54:56:57:63:65:67:74:76:79:81:89:92 SD: 2.0343 cents 48:50:54:56:58:60:66:68:70:77:79:82:85:93:96 SD: 1.9113 cents 52:54:59:61:63:65:71:74:76:83:86:89:92:101:104 SD: 1.6051 cents 53:55:60:62:64:66:73:75:77:85:88:90:93:103:106 SD: 1.5637 cents 58:60:66:68:70:72:79:82:85:93:96:99:102:112:116 SD: 1.2546 cents 65:67:74:76:79:81:89:92:95:104:108:111:115:126:130 SD: 1.2434 cents 68:70:77:80:82:85:93:96:99:109:113:116:120:132:136 SD: 1.1340 cents 76:78:86:89:92:95:104:107:111:122:126:130:134:147:152 SD: 1.0952 cents 81:84:92:95:98:101:111:115:118:130:134:138:143:157:162 SD: 1.0013 cents 89:92:101:104:108:111:122:126:130:143:147:152:157:172:178 SD: 0.8288 cents 96:99:109:112:116:120:131:136:140:154:159:164:169:186:192 SD: 0.8076 cents 105:108:119:123:127:131:144:148:153:168:174:179:185:203:210 SD: 0.7681 cents 106:109:120:124:128:132:145:150:155:170:175:181:187:205:212 SD: 0.7151 cents 119:123:135:139:144:148:163:168:174:191:197:203:210:230:238 SD: 0.6815 cents 125:129:142:146:151:156:171:177:182:200:207:213:220:242:250 SD: 0.6528 cents 126:130:143:147:152:157:173:178:184:202:208:215:222:244:252 SD: 0.6261 cents 130:134:147:152:157:162:178:184:190:208:215:222:229:252:260 SD: 0.5715 cents 154:159:175:180:186:192:211:218:225:247:255:263:271:298:308 SD: 0.4695 cents 157:162:178:184:190:196:215:222:229:252:260:268:277:304:314 SD: 0.4422 cents 159:164:180:186:192:198:218:225:232:255:263:271:280:308:318 SD: 0.4203 cents 187:193:212:219:226:233:256:264:273:300:309:319:330:362:374 SD: 0.3749 cents 194:200:220:227:234:242:266:274:283:311:321:331:342:376:388 SD: 0.3478 cents 211:218:239:247:255:263:289:298:308:338:349:360:372:409:422 SD: 0.3318 cents 222:229:252:260:268:277:304:314:324:356:367:379:391:430:444 SD: 0.2847 cents 283:292:321:331:342:353:388:400:413:454:468:483:499:548:566 SD: 0.2521 cents 312:322:354:365:377:389:427:441:455:500:516:533:550:604:623 SD: 0.2034 cents 365:377:414:427:441:455:500:516:533:585:604:623:643:707:729 SD: 0.1963 cents 403:416:457:472:487:502:552:570:588:646:667:688:710:780:805 SD: 0.1857 cents 433:447:491:507:523:540:593:612:632:694:716:739:763:838:865 SD: 0.1528 cents 462:477:524:541:558:576:633:653:674:741:764:789:814:895:923 SD: 0.1524 cents 471:486:534:551:569:587:645:666:687:755:779:804:830:912:941 SD: 0.1072 cents 597:616:677:699:721:744:818:844:871:957:988:1019:1052:1156:1193 SD: 0.1039 cents