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