Scala analysis: lescirc14
5-limit 14-cent lesfip of tweaked 12edo with 501.0 and 699.0 cent notes
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 95.112 cents 95.112040 2: 199.022 cents 199.022410 3: 300.000 cents 300.000000 4: 400.978 cents 400.977590 5: 504.888 cents 504.887960 6: 600.000 cents 600.000000 7: 695.112 cents 695.112040 8: 799.022 cents 799.022410 9: 900.000 cents 900.000000 10: 1000.978 cents 1000.977590 11: 1104.888 cents 1104.887960 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 95.1120 cents 95.1120 1: 95.1120 cents 95.1120 2: 103.9104 cents 103.9104 3: 100.9776 cents 100.9776 4: 100.9776 cents 100.9776 5: 103.9104 cents 103.9104 6: 95.1120 cents 95.1120 7: 95.1120 cents 95.1120 8: 103.9104 cents 103.9104 9: 100.9776 cents 100.9776 10: 100.9776 cents 100.9776 11: 103.9104 cents 103.9104 12: 95.1120 cents 95.1120
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 95.11204 cents 1: 4 100.97759 cents 1: 4 103.91037 cents 2: 2 190.22408 cents 2: 4 199.02241 cents 2: 2 201.95518 cents 2: 4 204.88796 cents 3: 4 294.13445 cents 3: 4 300.00000 cents 3: 4 305.86555 cents 4: 4 395.11204 cents 4: 2 398.04482 cents 4: 4 400.97759 cents 4: 2 409.77592 cents 5: 4 496.08963 cents 5: 4 499.02241 cents 5: 4 504.88796 cents 6: 12 600.00000 cents 7: 4 695.11204 cents 7: 4 700.97759 cents 7: 4 703.91037 cents 8: 2 790.22408 cents 8: 4 799.02241 cents 8: 2 801.95518 cents 8: 4 804.88796 cents 9: 4 894.13445 cents 9: 4 900.00000 cents 9: 4 905.86555 cents 10: 4 995.11204 cents 10: 2 998.04482 cents 10: 4 1000.97759 cents 10: 2 1009.77592 cents 11: 4 1096.08963 cents 11: 4 1099.02241 cents 11: 4 1104.88796 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.18182 = 35/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 95.1 199.0 300.0 401.0 504.9 600.0 695.1 799.0 900.0 1001.0 1104.9 1200.0 95.1 : 103.9 204.9 305.9 409.8 504.9 600.0 703.9 804.9 905.9 1009.8 1104.9 1200.0 199.0 : 101.0 202.0 305.9 401.0 496.1 600.0 701.0 802.0 905.9 1001.0 1096.1 1200.0 300.0 : 101.0 204.9 300.0 395.1 499.0 600.0 701.0 804.9 900.0 995.1 1099.0 1200.0 401.0 : 103.9 199.0 294.1 398.0 499.0 600.0 703.9 799.0 894.1 998.0 1099.0 1200.0 504.9 : 95.1 190.2 294.1 395.1 496.1 600.0 695.1 790.2 894.1 995.1 1096.1 1200.0 600.0 : 95.1 199.0 300.0 401.0 504.9 600.0 695.1 799.0 900.0 1001.0 1104.9 1200.0 695.1 : 103.9 204.9 305.9 409.8 504.9 600.0 703.9 804.9 905.9 1009.8 1104.9 1200.0 799.0 : 101.0 202.0 305.9 401.0 496.1 600.0 701.0 802.0 905.9 1001.0 1096.1 1200.0 900.0 : 101.0 204.9 300.0 395.1 499.0 600.0 701.0 804.9 900.0 995.1 1099.0 1200.0 1001.0: 103.9 199.0 294.1 398.0 499.0 600.0 703.9 799.0 894.1 998.0 1099.0 1200.0 1104.9: 95.1 190.2 294.1 395.1 496.1 600.0 695.1 790.2 894.1 995.1 1096.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 95.1120 .. 103.9104 cents 8.79833 cents 95.11204 cents 2: 190.2241 .. 204.8880 cents 14.66388 cents 86.31371 cents 3: 294.1344 .. 305.8656 cents 11.73110 cents 89.24649 cents 4: 395.1120 .. 409.7759 cents 14.66388 cents 89.24649 cents 5: 496.0896 .. 504.8880 cents 8.79833 cents 86.31371 cents 6: 600.0000 .. 600.0000 cents 1/1, 0.0000 cents 95.11204 cents 7: 695.1120 .. 703.9104 cents 8.79833 cents 95.11204 cents 8: 790.2241 .. 804.8880 cents 14.66388 cents 86.31371 cents 9: 894.1345 .. 905.8655 cents 11.73110 cents 89.24649 cents 10: 995.1120 .. 1009.7759 cents 14.66388 cents 89.24649 cents 11: 1096.0896 .. 1104.8880 cents 8.79833 cents 86.31371 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 95.11204 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 103.91037 cents Average / Smallest step : 1.051392 Largest / Average step : 1.039104 Largest / Smallest step : 1.092505 Median interval of one step : 100.97759 cents, amount: 4 Least squares average step : 100.06618 cents, oct.: 1200.79411 cents Scale is strictly proper Scale has 2 repeating blocks of 6 notes Scale is a mode of a 2044-tone equal temperament with octave 1200.000 cents degrees: 162 339 511 683 860 1022 1184 1361 1533 1705 1882 2044 Least number of segments generator : 1023 of 600.587 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1361 of 799.022 cents and inv. generated superset size: 1540 = 1528 more = 12833.333% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCCBAABCCBA Step pattern size order : SLMMLSSLMMLS Scale is a Constant Structure, by a margin of 86.31371 cents Scale diversity : 1.079318 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.902241 Rothenberg efficiency (ambiguous key): 0.261785 redundancy: 0.738215 Efficiency x scale size : 3.141414 Number of different interval sizes : 35 = 3.18182 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.18182 = 35/11 Median interval variety : 3 Lowest interval variety : 1 Smallest interval difference : 2.93277 cents Most common intervals : 600.00000 cents & inv., amount: 12 Number of recognisable fifths : 12, average 700.0000 cents Scale contains two identical disjunct hexachords Best fifths form a closed circle Formal octave complements present : 12 = 100.0000% Limited transpositions : 6 Limited inverse transpositions : 6 Inversional symmetry on degrees : 0 3 6 9 -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 2.8780 c. M: 4.8880 c. Twelve-tone Chromatic (1/11-comma) 90: 7 8 7 8 8 7 7 8 7 8 8 7 SP B D3 SD: 2.9632 c. M: 6.6667 c. 92: 7 8 8 8 8 7 7 8 8 8 8 7 SP B D3 I SD: 2.9358 c. M: 3.8077 c. 100: 8 9 8 8 9 8 8 9 8 8 9 8 SP B ME I SD: 2.9192 c. M: 4.9776 c. 102: 8 9 8 9 9 8 8 9 8 9 9 8 SP B D3 SD: 2.5328 c. M: 5.8824 c. 104: 8 9 9 9 9 8 8 9 9 9 9 8 SP B D3 I SD: 2.3161 c. M:-2.8686 c. 114: 9 10 9 10 10 9 9 10 9 10 10 9 SP B D3 SD: 2.2321 c. M: 5.2632 c. 116: 9 10 10 10 10 9 9 10 10 10 10 9 SP B D3 I SD: 1.8384 c. M: 2.4707 c. 128: 10 11 11 11 11 10 10 11 11 11 11 10 SP B D3 I SD: 1.4682 c. M:-2.1474 c. 140: 11 12 12 12 12 11 11 12 12 12 12 11 SP B D3 I SD: 1.1854 c. M:-1.8796 c. 152: 12 13 13 13 13 12 12 13 13 13 13 12 SP B D3 I SD: 0.9792 c. M:-1.6540 c. 164: 13 14 14 14 14 13 13 14 14 14 14 13 SP B D3 I SD: 0.8438 c. M:-1.4614 c. 176: 14 15 15 15 15 14 14 15 15 15 15 14 SP B D3 I SD: 0.7735 c. M:-1.2951 c. 188: 15 16 16 16 16 15 15 16 16 16 16 15 SP B D3 I SD: 0.7578 c. M:-1.1501 c. 200: 16 17 17 17 17 16 16 17 17 17 17 16 SP B D3 I SD: 0.7818 c. M:-1.0224 c. 204: 16 18 17 17 18 16 16 18 17 17 18 16 SP B D3 I SD: 0.8051 c. M: 0.9944 c. 216: 17 19 18 18 19 17 17 19 18 18 19 17 SP B D3 I SD: 0.6835 c. M: 0.9776 c. 228: 18 20 19 19 20 18 18 20 19 19 20 18 SP B D3 I SD: 0.6046 c. M: 0.9776 c. 240: 19 21 20 20 21 19 19 21 20 20 21 19 SP B D3 I SD: 0.5681 c. M: 0.9776 c. 264: 21 23 22 22 23 21 21 23 22 22 23 21 SP B D3 I SD: 0.5981 c. M: 0.9776 c. 344: 27 30 29 29 30 27 27 30 29 29 30 27 SP B I SD: 0.5452 c. M: 0.9260 c. 356: 28 31 30 30 31 28 28 31 30 30 31 28 SP B I SD: 0.4298 c. M: 0.7300 c. 368: 29 32 31 31 32 29 29 32 31 31 32 29 SP B I SD: 0.3220 c. M: 0.5468 c. 380: 30 33 32 32 33 30 30 33 32 32 33 30 SP B I SD: 0.2209 c. M: 0.3752 c. 392: 31 34 33 33 34 31 31 34 33 33 34 31 SP B I SD: 0.1260 c. M: 0.2141 c. 404: 32 35 34 34 35 32 32 35 34 34 35 32 SP B I SD: 0.0368 c. M: 0.0625 c. 820: 65 71 69 69 71 65 65 71 69 69 71 65 SP B I SD: 0.0058 c. M: 0.0099 c. 2044: 162 177 172 172 177 162 162 177 172 172 177 162 SP B I SD: 0.0026 c. M: 0.0044 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x 3 x x x x 4 S SD: 3.4215 cents 3 x x x x 4 x x x 5 x x 6 S SD: 5.6909 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 8.9986 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 6.4550 cents 6 x x 7 x 8 x 9 x 10:11 x 12 S SD: 10.2429 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 10.0762 cents 8 x 9 x 10:11 x 12:13 x 14:15:16 S SD: 9.2484 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 8.1331 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 7.2118 cents 11 x 12:13:14:15 x 16:17:19:20:21:22 SD: 10.7136 cents 12:13 x 14:15:16:17:18:19:20:21:23:24 SD: 6.4627 cents 13:14:15 x 16:17:18:19:21:22:23:25:26 SD: 9.8065 cents 14:15:16:17:18:19:20:21:22:24:25:27:28 SD: 7.1811 cents 15:16:17:18:19:20:21:22:24:25:27:28:30 SD: 5.0068 cents 19:20:21:23:24:25:27:28:30:32:34:36:38 SD: 4.7890 cents 20:21:22:24:25:27:28:30:32:34:36:38:40 SD: 4.6967 cents 22:23:25:26:28:29:31:33:35:37:39:42:44 SD: 4.0339 cents 24:25:27:29:30:32:34:36:38:40:43:45:48 SD: 4.0038 cents 26:27:29:31:33:35:37:39:41:44:46:49:52 SD: 3.5987 cents 27:29:30:32:34:36:38:40:43:45:48:51:54 SD: 3.5267 cents 31:33:35:37:39:42:44:46:49:52:55:59:62 SD: 2.8625 cents 32:34:36:38:40:43:45:48:51:54:57:61:64 SD: 2.3142 cents 38:40:43:45:48:51:54:57:60:64:68:72:76 SD: 2.0155 cents 41:43:46:49:52:55:58:61:65:69:73:78:82 SD: 1.8479 cents 50:53:56:59:63:67:71:75:79:84:89:95:100 SD: 1.7165 cents 51:54:57:61:64:68:72:76:81:86:91:97:102 SD: 1.6392 cents 53:56:59:63:67:71:75:79:84:89:94:100:106 SD: 1.5490 cents 57:60:64:68:72:76:81:85:90:96:102:108:114 SD: 1.5147 cents 58:61:65:69:73:78:82:87:92:98:103:110:116 SD: 1.4539 cents 65:69:73:77:82:87:92:97:103:109:116:123:130 SD: 1.0474 cents 73:77:82:87:92:98:103:109:116:123:130:138:146 SD: 0.8187 cents 89:94:100:106:112:119:126:133:141:150:159:168:178 SD: 0.7851 cents 106:112:119:126:134:142:150:158:168:178:189:201:212 SD: 0.6625 cents 107:113:120:127:135:143:151:160:170:180:191:203:214 SD: 0.6593 cents 123:130:138:146:155:165:174:184:195:207:219:233:246 SD: 0.5205 cents 138:146:155:164:174:185:195:206:219:232:246:261:276 SD: 0.4258 cents 157:166:176:187:198:210:222:235:249:264:280:297:314 SD: 0.4219 cents 174:184:195:207:219:233:246:260:276:293:310:329:348 SD: 0.4170 cents 180:190:202:214:227:241:255:269:286:303:321:341:360 SD: 0.4055 cents 195:206:219:232:246:261:276:291:309:328:348:369:390 SD: 0.3739 cents 196:207:220:233:247:262:277:293:311:330:349:371:392 SD: 0.3588 cents 215:227:241:256:271:288:304:321:341:362:383:407:430 SD: 0.3430 cents 227:240:255:270:286:304:321:339:360:382:405:430:454 SD: 0.3109 cents 249:263:279:296:314:333:352:372:395:419:444:471:498 SD: 0.2814 cents 263:278:295:313:332:352:372:393:417:442:469:498:526 SD: 0.2814 cents 280:296:314:333:353:375:396:418:444:471:499:530:560 SD: 0.1991 cents 387:409:434:460:488:518:547:578:614:651:690:733:774 SD: 0.1653 cents 411:434:461:489:518:550:581:614:652:691:733:778:822 SD: 0.1495 cents 461:487:517:548:581:617:652:689:731:775:822:873:922 SD: 0.1471 cents 476:503:534:566:600:637:673:711:755:801:849:901:952 SD: 0.1368 cents 534:564:599:635:673:715:755:798:847:898:952:1011:1068 SD: 0.0908 cents