Scala analysis: xen18-erlich-semaphore-09
5L 4s MOS for Semaphore, L=193.75, s=58.73
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 193.750 cents 193.750000 2: 252.480 cents 252.480000 3: 446.230 cents 446.230000 4: 504.960 cents 504.960000 5: 698.710 cents 698.710000 6: 757.440 cents 757.440000 7: 951.190 cents 951.190000 8: 1009.920 cents 1009.920000 9: 1203.670 cents 1203.670000
SHOW/INTERVAL
0: 193.7500 cents 193.7500 1: 193.7500 cents 193.7500 2: 58.7300 cents 58.7300 3: 193.7500 cents 193.7500 4: 58.7300 cents 58.7300 5: 193.7500 cents 193.7500 6: 58.7300 cents 58.7300 7: 193.7500 cents 193.7500 8: 58.7300 cents 58.7300 9: 193.7500 cents 193.7500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 58.73000 cents 1: 5 193.75000 cents 2: 8 252.48000 cents 2: 1 387.50000 cents 3: 3 311.21000 cents 3: 6 446.23000 cents 4: 7 504.96000 cents 4: 2 639.98000 cents 5: 2 563.69000 cents 5: 7 698.71000 cents 6: 6 757.44000 cents 6: 3 892.46000 cents 7: 1 816.17000 cents 7: 8 951.19000 cents 8: 5 1009.92000 cents 8: 4 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 0.0 : 193.7 252.5 446.2 505.0 698.7 757.4 951.2 1009.9 1203.7 193.7 : 58.7 252.5 311.2 505.0 563.7 757.4 816.2 1009.9 1203.7 252.5 : 193.8 252.5 446.2 505.0 698.7 757.4 951.2 1144.9 1203.7 446.2 : 58.7 252.5 311.2 505.0 563.7 757.4 951.2 1009.9 1203.7 505.0 : 193.7 252.5 446.2 505.0 698.7 892.5 951.2 1144.9 1203.7 698.7 : 58.7 252.5 311.2 505.0 698.7 757.4 951.2 1009.9 1203.7 757.4 : 193.7 252.5 446.2 640.0 698.7 892.5 951.2 1144.9 1203.7 951.2 : 58.7 252.5 446.2 505.0 698.7 757.4 951.2 1009.9 1203.7 1009.9: 193.8 387.5 446.2 640.0 698.7 892.5 951.2 1144.9 1203.7 1203.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 58.7300 .. 193.7500 cents 135.02000 cents 58.73000 cents 2: 252.4800 .. 387.5000 cents 135.02000 cents 58.73000 cents 3: 311.2100 .. 446.2300 cents 135.02000 cents -76.29000 cents 4: 504.9600 .. 639.9800 cents 135.02000 cents 58.73000 cents 5: 563.6900 .. 698.7100 cents 135.02000 cents -76.29000 cents 6: 757.4400 .. 892.4600 cents 135.02000 cents 58.73000 cents 7: 816.1700 .. 951.1900 cents 135.02000 cents -76.29000 cents 8: 1009.9200 .. 1144.9400 cents 135.02000 cents 58.73000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 58.73000 cents, class 1 Average step (divided formal octave): 133.7411 cents Largest one step interval : 193.75000 cents Average / Smallest step : 2.277220 Largest / Average step : 1.448694 Largest / Smallest step : 3.298995 Median interval of one step : 193.75000 cents, amount: 5 Most common interval of one step : 193.75000 cents, amount: 5 Least squares average step : 132.16193 cents, oct.: 1189.45737 cents Scale is not proper Scale has Myhill's property chromas: 135.02000 cents and 76.29000 cents, ratio: 1.769826 generators: 2 of 252.48000 cents and 7 of 951.19000 cents ET pair of linear temperament : 19&62 Scale is distributional even Scale is a mode of a 1373-tone equal temperament with octave 1203.670 cents degrees: 221 288 509 576 797 864 1085 1152 1373 generators: 288 and 1085 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 58.73000 cents Scale diversity : 1.236416 Lumma stability : 0.292755 Lumma impropriety factor : 0.190143 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 : 58.73000 cents Most common intervals : 252.48000 cents & inv., amount: 8 Scale is a chain of 4 triads 0.0 252.480 504.960 cents Most common triad is 0.0 252.480 951.190 cents, amount: 7 Number of recognisable fifths : 7, average 698.7100 cents Number of recognisable fourths : 7, average 504.9600 cents Scale contains two identical conjunct 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 0 2 0 2 0 2 0 2 N T3 SD: 70.6497 c. M: 118.7389 c. 10: 2 0 2 0 2 0 2 0 2 N M DE I SD: 30.3280 c. M:-46.9840 c. 11: 2 0 2 1 1 1 2 0 2 N D3 I SD: 28.3294 c. M:-42.1627 c. 13: 2 1 2 0 3 0 2 1 2 N I SD: 24.7540 c. M:-42.0100 c. 14: 2 1 2 1 2 1 2 1 2 P M ME I SD: 14.0700 c. M:-21.7971 c. Semaphore-9 19: 3 1 3 1 3 1 3 1 3 N M DE I SD: 2.3863 c. M:-3.6968 c. Semaphore-9 43: 7 2 7 2 7 2 7 2 7 N M DE I SD: 1.4177 c. M:-2.1963 c. 62: 10 3 10 3 10 3 10 3 10 N M DE I SD: 0.2520 c. M:-0.3903 c. 143: 23 7 23 7 23 7 23 7 23 N M DE I SD: 0.0986 c. M:-0.1527 c. 205: 33 10 33 10 33 10 33 10 33 N M DE I SD: 0.0074 c. M:-0.0115 c. 1168: 188 57 188 57 188 57 188 57 188 N M DE I SD: 0.0055 c. M:-0.0086 c. 1373: 221 67 221 67 221 67 221 67 221 N M DE I SD: 0.0036 c. M:-0.0056 c. 1578: 254 77 254 77 254 77 254 77 254 N M DE I SD: 0.0022 c. M:-0.0034 c. 1783: 287 87 287 87 287 87 287 87 287 N M DE I SD: 0.0011 c. M:-0.0017 c. 1988: 320 97 320 97 320 97 320 97 320 N M DE I SD: 0.0002 c. M:-0.0003 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 3.6700 cents 2 x x x x 3 x x x 4 S SD: 2.4494 cents 3 x x x 4 x x 5 x 6 S SD: 22.4294 cents 4 x x 5 x 6 x 7 x 8 S SD: 15.6624 cents 5 x 6 x 7 x 8 x 9:10 S SD: 23.0128 cents 6 x 7 x 8:9 x 10:11:12 S SD: 13.2299 cents 7 x 8:9 x 10:11:12:13:14 S SD: 15.6228 cents 8:9 x 10:11:12 x 14 x 16 S SD: 13.0993 cents 9:10 x x 12:13:14 x 16:18 S SD: 10.9197 cents 10:11:12:13 x 15 x 17:18:20 SD: 11.0857 cents 11:12:13:14:15:16:17:19:20:22 SD: 10.0864 cents 12:13:14 x 16:18:19:21:22:24 SD: 10.1882 cents 13 x 15:17 x 19:20 x 23:26 SD: 8.7170 cents 14 x 16:18:19:21:22:24:25:28 SD: 5.8046 cents 15:17 x 19:20:22:23:26:27:30 SD: 7.4907 cents 16:18:19:21 x 24:25:28:29:32 SD: 7.5891 cents 17:19:20:22:23:25:26:29:30:34 SD: 7.0634 cents 18:20:21:23:24:27:28:31:32:36 SD: 3.9035 cents 19:21:22:25 x 28:29:33:34:38 SD: 6.4839 cents 20:22:23:26:27:30:31:35:36:40 SD: 4.4572 cents 22:25 x 28:29:33:34:38:39:44 SD: 6.5103 cents 23:26:27:30:31:34:36:40:41:46 SD: 5.2842 cents 24:27:28:31:32:36:37:42:43:48 SD: 3.0793 cents 33:37:38:43:44:49:51:57:59:66 SD: 2.6133 cents 38:43:44:49:51:57:59:66:68:76 SD: 2.5763 cents 42:47:49:54:56:63:65:73:75:84 SD: 2.4274 cents 44:49:51:57:59:66:68:76:79:88 SD: 1.3655 cents 68:76:79:88:91:102:105:118:122:136 SD: 1.2043 cents 82:92:95:106:110:123:127:142:147:164 SD: 0.9685 cents 101:113:117:131:135:151:156:175:181:202 SD: 0.9353 cents 109:122:126:141:146:163:169:189:195:218 SD: 0.6845 cents 133:149:154:172:178:199:206:230:238:267 SD: 0.6621 cents 135:151:156:175:181:202:209:234:242:271 SD: 0.6263 cents 153:171:177:198:205:229:237:265:274:307 SD: 0.3424 cents 235:263:272:304:315:352:364:407:421:471 SD: 0.3178 cents 255:285:295:330:341:382:395:442:457:511 SD: 0.2954 cents 269:301:311:348:360:403:417:466:482:539 SD: 0.2843 cents 306:342:354:396:410:458:474:530:548:613 SD: 0.2787 cents 313:350:362:405:419:469:485:542:561:627 SD: 0.2334 cents 370:414:428:479:495:554:573:641:663:742 SD: 0.2113 cents 388:434:449:502:519:581:601:672:695:778 SD: 0.2057 cents 408:456:472:528:546:611:632:707:731:818 SD: 0.1858 cents 414:463:479:536:554:620:641:717:742:830 SD: 0.1671 cents 466:521:539:603:624:698:722:807:835:934 SD: 0.1609 cents 490:548:567:634:656:734:759:849:878:982 SD: 0.1175 cents 523:585:605:677:700:783:810:906:937:1048 SD: 0.1068 cents