Scala analysis: xen18-erlich-semaphore-14
5L 9s MOS for Semaphore, L=135.02, s=58.73
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 58.730 cents 58.730000 2: 193.750 cents 193.750000 3: 252.480 cents 252.480000 4: 311.210 cents 311.210000 5: 446.230 cents 446.230000 6: 504.960 cents 504.960000 7: 639.980 cents 639.980000 8: 698.710 cents 698.710000 9: 757.440 cents 757.440000 10: 892.460 cents 892.460000 11: 951.190 cents 951.190000 12: 1009.920 cents 1009.920000 13: 1144.940 cents 1144.940000 14: 1203.670 cents 1203.670000
SHOW/INTERVAL
0: 58.7300 cents 58.7300 1: 58.7300 cents 58.7300 2: 135.0200 cents 135.0200 3: 58.7300 cents 58.7300 4: 58.7300 cents 58.7300 5: 135.0200 cents 135.0200 6: 58.7300 cents 58.7300 7: 135.0200 cents 135.0200 8: 58.7300 cents 58.7300 9: 58.7300 cents 58.7300 10: 135.0200 cents 135.0200 11: 58.7300 cents 58.7300 12: 58.7300 cents 58.7300 13: 135.0200 cents 135.0200 14: 58.7300 cents 58.7300
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 9 58.73000 cents 1: 5 135.02000 cents 2: 4 117.46000 cents 2: 10 193.75000 cents 3: 13 252.48000 cents 3: 1 328.77000 cents 4: 8 311.21000 cents 4: 6 387.50000 cents 5: 3 369.94000 cents 5: 11 446.23000 cents 6: 12 504.96000 cents 6: 2 581.25000 cents 7: 7 563.69000 cents 7: 7 639.98000 cents 8: 2 622.42000 cents 8: 12 698.71000 cents 9: 11 757.44000 cents 9: 3 833.73000 cents 10: 6 816.17000 cents 10: 8 892.46000 cents 11: 1 874.90000 cents 11: 13 951.19000 cents 12: 10 1009.92000 cents 12: 4 1086.21000 cents 13: 5 1068.65000 cents 13: 9 1144.94000 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 11 12 13 14 0.0 : 58.7 193.7 252.5 311.2 446.2 505.0 640.0 698.7 757.4 892.5 951.2 1009.9 1144.9 1203.7 58.7 : 135.0 193.7 252.5 387.5 446.2 581.2 640.0 698.7 833.7 892.5 951.2 1086.2 1144.9 1203.7 193.7 : 58.7 117.5 252.5 311.2 446.2 505.0 563.7 698.7 757.4 816.2 951.2 1009.9 1068.7 1203.7 252.5 : 58.7 193.8 252.5 387.5 446.2 505.0 640.0 698.7 757.4 892.5 951.2 1009.9 1144.9 1203.7 311.2 : 135.0 193.8 328.8 387.5 446.2 581.3 640.0 698.7 833.7 892.5 951.2 1086.2 1144.9 1203.7 446.2 : 58.7 193.7 252.5 311.2 446.2 505.0 563.7 698.7 757.4 816.2 951.2 1009.9 1068.6 1203.7 505.0 : 135.0 193.7 252.5 387.5 446.2 505.0 640.0 698.7 757.4 892.5 951.2 1009.9 1144.9 1203.7 640.0 : 58.7 117.5 252.5 311.2 369.9 505.0 563.7 622.4 757.4 816.2 874.9 1009.9 1068.7 1203.7 698.7 : 58.7 193.7 252.5 311.2 446.2 505.0 563.7 698.7 757.4 816.2 951.2 1009.9 1144.9 1203.7 757.4 : 135.0 193.7 252.5 387.5 446.2 505.0 640.0 698.7 757.4 892.5 951.2 1086.2 1144.9 1203.7 892.5 : 58.7 117.5 252.5 311.2 369.9 505.0 563.7 622.4 757.4 816.2 951.2 1009.9 1068.7 1203.7 951.2 : 58.7 193.7 252.5 311.2 446.2 505.0 563.7 698.7 757.4 892.5 951.2 1009.9 1144.9 1203.7 1009.9: 135.0 193.8 252.5 387.5 446.2 505.0 640.0 698.7 833.7 892.5 951.2 1086.2 1144.9 1203.7 1144.9: 58.7 117.5 252.5 311.2 369.9 505.0 563.7 698.7 757.4 816.2 951.2 1009.9 1068.7 1203.7 1203.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 58.7300 .. 135.0200 cents 76.29000 cents 58.73000 cents 2: 117.4600 .. 193.7500 cents 76.29000 cents -17.56000 cents 3: 252.4800 .. 328.7700 cents 76.29000 cents 58.73000 cents 4: 311.2100 .. 387.5000 cents 76.29000 cents -17.56000 cents 5: 369.9400 .. 446.2300 cents 76.29000 cents -17.56000 cents 6: 504.9600 .. 581.2500 cents 76.29000 cents 58.73000 cents 7: 563.6900 .. 639.9800 cents 76.29000 cents -17.56000 cents 8: 622.4200 .. 698.7100 cents 76.29000 cents -17.56000 cents 9: 757.4400 .. 833.7300 cents 76.29000 cents 58.73000 cents 10: 816.1700 .. 892.4600 cents 76.29000 cents -17.56000 cents 11: 874.9000 .. 951.1900 cents 76.29000 cents -17.56000 cents 12: 1009.9200 .. 1086.2100 cents 76.29000 cents 58.73000 cents 13: 1068.6500 .. 1144.9400 cents 76.29000 cents -17.56000 cents
SHOW DATA
Number of notes : 14 -- Interval properties -- Smallest interval : 58.73000 cents, class 1 Average step (divided formal octave): 85.9764 cents Largest one step interval : 135.02000 cents Average / Smallest step : 1.463927 Largest / Average step : 1.570430 Largest / Smallest step : 2.298995 Median interval of one step : 58.73000 cents, amount: 9 Most common interval of one step : 58.73000 cents, amount: 9 Least squares average step : 86.54015 cents, oct.: 1211.56207 cents Scale is not proper Scale has Myhill's property chromas: 76.29000 cents and 17.56000 cents, ratio: 4.344533 generators: 3 of 252.48000 cents and 11 of 951.19000 cents ET pair of linear temperament : 19&62 Scale is distributional even Scale is a mode of a 1578-tone equal temperament with octave 1203.670 cents degrees: 77 254 331 408 585 662 839 916 993 1170 1247 1324 1501 1578 generators: 331 and 1247 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAABABAABAABA Step pattern size order : SLSSLSLSSLSSLS Scale is a Constant Structure, by a margin of 17.56000 cents Scale diversity : 1.186953 Lumma stability : 0.292755 Lumma impropriety factor : 0.116710 Rothenberg efficiency : 0.714286 redundancy: 0.285714 Efficiency x scale size : 10.000000 Number of different interval sizes : 26 = 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 : 17.56000 cents Most common intervals : 252.48000 cents & inv., amount: 13 Scale is a chain of 7 triads 0.0 311.210 951.190 cents Most common triad is 0.0 252.480 951.190 cents, amount: 12 Number of recognisable fifths : 12, average 698.7100 cents Number of recognisable fourths : 12, average 504.9600 cents Scale contains two identical disjunct heptachords Formal octave complements present : 13 = 92.8571% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 11 Inversional symmetry on intervals : 5-6 12-13 -- Rational properties --
FIT/MODE
14: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 22.1351 c. M: 38.1450 c. 15: 1 1 1 1 2 0 2 1 0 2 1 1 1 1 N D3 SD: 22.6719 c. M:-35.2380 c. 16: 1 2 0 1 2 1 2 0 1 2 1 0 2 1 N T3 SD: 21.7080 c. M:-37.0844 c. 17: 1 2 1 0 2 1 2 1 1 2 0 1 2 1 N D3 SD: 19.8978 c. M:-30.7365 c. 19: 1 2 1 1 2 1 2 1 1 2 1 1 2 1 P M ME SD: 3.7542 c. M: 6.4695 c. 43: 2 5 2 2 5 2 5 2 2 5 2 2 5 2 N M DE SD: 2.2303 c. M:-3.8435 c. 62: 3 7 3 3 7 3 7 3 3 7 3 3 7 3 N M DE SD: 0.3964 c. M:-0.6831 c. 143: 7 16 7 7 16 7 16 7 7 16 7 7 16 7 N M DE SD: 0.1551 c. M: 0.2673 c. 205: 10 23 10 10 23 10 23 10 10 23 10 10 23 10 N M DE SD: 0.0117 c. M:-0.0201 c. 1168: 57 131 57 57 131 57 131 57 57 131 57 57 131 57 N M DE SD: 0.0087 c. M: 0.0150 c. 1373: 67 154 67 67 154 67 154 67 67 154 67 67 154 67 N M DE SD: 0.0057 c. M: 0.0098 c. 1578: 77 177 77 77 177 77 177 77 77 177 77 77 177 77 N M DE SD: 0.0034 c. M: 0.0059 c. 1783: 87 200 87 87 200 87 200 87 87 200 87 87 200 87 N M DE SD: 0.0017 c. M: 0.0029 c. 1988: 97 223 97 97 223 97 223 97 97 223 97 97 223 97 N M DE SD: 0.0003 c. M: 0.0005 c.
FIT/HARMONIC
1 x x x x x x x x x x x x x 2 S SD: 3.6700 cents 2 x x x x x x x 3 x x x x x 4 S SD: 2.4494 cents 3 x x x x x 4 x x x 5 x x x 6 S SD: 3.7552 cents 4 x x x x 5 x x 6 x x 7 x x 8 S SD: 15.6624 cents 5 x x x 6 x x 7 x 8 x x 9 x 10 S SD: 16.1966 cents 6 x x 7 x x 8 x 9 x 10 x 11 x 12 S SD: 7.2654 cents 7 x x 8 x 9 x 10 x 11 x 12:13 x 14 S SD: 10.9436 cents 8 x 9 x x 10:11 x 12 x 13:14 x x 16 S SD: 13.4576 cents 9 x 10 x 11 x 12:13 x 14:15 x 16:17:18 S SD: 6.8052 cents 10 x 11 x 12:13 x 14:15 x 17 x 18:19:20 SD: 8.6916 cents 11 x 12 x 13:14:15:16 x 17:18:19:20:21:22 S SD: 7.7069 cents 12 x 13:14 x x 16:17:18:19:20:21:22:23:24 S SD: 8.3434 cents 13 x x 15:16:17 x 19 x 20:22 x 23:25:26 SD: 7.1266 cents 14:15 x 16:17:18:19:20:21:22:23:24:25:27:28 SD: 6.9323 cents 15:16:17 x 18:19:20:22 x 23:25:26:27:29:30 SD: 6.3241 cents 16:17:18 x 19:21 x 23:24:25:27:28:29:31:32 SD: 5.4640 cents 17:18:19:20 x 22:23:25 x 26:28:29:30:33:34 SD: 6.6099 cents 18:19:20:21:22:23:24:26:27:28:30:31:32:35:36 SD: 4.4476 cents 19:20:21:22:23:25 x x 28:29:32:33:34:37:38 SD: 5.3727 cents 20:21:22:23:24:26:27:29:30:31:33:35:36:39:40 SD: 3.9631 cents 22:23:25 x 26:28:29:32:33:34:37:38:39:43:44 SD: 4.8005 cents 23:24:26:27:28:30:31:33:34:36:39:40:41:45:46 SD: 4.7018 cents 24:25:27:28:29:31:32:35:36:37:40:42:43:47:48 SD: 3.0020 cents 26:27:29:30:31:34:35:38:39:40:44:45:47:50:52 SD: 2.9764 cents 27:28:30:31:32:35:36:39:40:42:45:47:48:52:54 SD: 2.7853 cents 31:32:35:36:37:40:42:45:46:48:52:54:56:60:62 SD: 2.6542 cents 33:34:37:38:40:43:44:48:49:51:55:57:59:64:66 SD: 2.4989 cents 34:35:38:39:41:44:46:49:51:53:57:59:61:66:68 SD: 2.2932 cents 44:46:49:51:53:57:59:64:66:68:74:76:79:85:88 SD: 1.9712 cents 49:51:55:57:59:63:66:71:73:76:82:85:88:95:98 SD: 1.8907 cents 50:52:56:58:60:65:67:72:75:77:84:87:90:97:100 SD: 1.6764 cents 51:53:57:59:61:66:68:74:76:79:85:88:91:99:102 SD: 1.4118 cents 58:60:65:67:69:75:78:84:87:90:97:100:104:112:116 SD: 1.3095 cents 62:64:69:72:74:80:83:90:93:96:104:107:111:120:124 SD: 1.2056 cents 76:79:85:88:91:98:102:110:114:118:127:132:136:147:152 SD: 1.0529 cents 82:85:92:95:98:106:110:119:123:127:137:142:147:159:164 SD: 0.8287 cents 109:113:122:126:130:141:146:158:163:169:183:189:195:211:218 SD: 0.7826 cents 115:119:129:133:138:149:154:166:172:178:193:199:206:223:230 SD: 0.7550 cents 116:120:130:134:139:150:155:168:174:180:194:201:208:225:232 SD: 0.6433 cents 127:131:142:147:152:164:170:184:190:197:213:220:228:246:255 SD: 0.6326 cents 139:144:155:161:166:180:186:201:208:215:233:241:249:269:279 SD: 0.6302 cents 141:146:158:163:169:182:189:204:211:218:236:244:253:273:283 SD: 0.6049 cents 142:147:159:164:170:184:190:206:213:220:238:246:254:275:285 SD: 0.5909 cents 145:150:162:168:174:188:194:210:217:225:243:251:260:281:291 SD: 0.5694 cents 147:152:164:170:176:190:197:213:220:228:246:255:263:285:295 SD: 0.5516 cents 153:158:171:177:183:198:205:221:229:237:256:265:274:296:307 SD: 0.4489 cents 177:183:198:205:212:229:237:256:265:274:296:307:317:343:355 SD: 0.3240 cents 228:236:255:264:273:295:305:330:341:353:382:395:409:442:457 SD: 0.2648 cents 255:264:285:295:305:330:341:369:382:395:427:442:457:494:511 SD: 0.2304 cents 313:324:350:362:375:405:419:453:469:485:524:542:561:606:627 SD: 0.2235 cents 346:358:387:400:414:448:463:501:518:536:579:599:620:670:693 SD: 0.2177 cents 370:383:414:428:443:479:495:535:554:573:620:641:663:717:742 SD: 0.2158 cents 380:393:425:440:455:492:509:550:569:589:636:658:681:736:762 SD: 0.2055 cents 381:394:426:441:456:493:510:551:570:590:638:660:683:738:764 SD: 0.1722 cents 432:447:483:500:517:559:578:625:647:669:723:748:774:837:866 SD: 0.1450 cents 463:479:518:536:554:599:620:670:693:717:775:802:830:897:928 SD: 0.1281 cents 497:514:556:575:595:643:665:719:744:770:832:861:891:963:996 SD: 0.1231 cents 523:541:585:605:626:677:700:757:783:810:876:906:937:1013:1048 SD: 0.0849 cents