Scala analysis: xen18-erlich-ripple-07

  0:          1/1               0.000000 unison, perfect prime
  1:        101.990 cents     101.990000
  2:        203.980 cents     203.980000
  3:        305.970 cents     305.970000
  4:        897.350 cents     897.350000
  5:        999.340 cents     999.340000
  6:       1101.330 cents    1101.330000
  7:       1203.320 cents    1203.320000

  0:        101.9900 cents    101.9900
  1:        101.9900 cents    101.9900
  2:        101.9900 cents    101.9900
  3:        101.9900 cents    101.9900
  4:        591.3800 cents    591.3800
  5:        101.9900 cents    101.9900
  6:        101.9900 cents    101.9900
  7:        101.9900 cents    101.9900

Interval class, Number of incidences, Size:
  1:   6 101.99000 cents
  1:   1 591.38000 cents
  2:   5 203.98000 cents
  2:   2 693.37000 cents
  3:   4 305.97000 cents
  3:   3 795.36000 cents
  4:   3 407.96000 cents
  4:   4 897.35000 cents
  5:   2 509.95000 cents
  5:   5 999.34000 cents
  6:   1 611.94000 cents
  6:   6 1101.33000 cents
Highest number of different intervals for one interval class: 2
Average number of different intervals per interval class: 2.00000 = 2

         1     2     3     4     5     6      7     
 0.0   : 102.0 204.0 306.0 897.3 999.3 1101.3 1203.3
 102.0 : 102.0 204.0 795.4 897.4 999.3 1101.3 1203.3
 204.0 : 102.0 693.4 795.4 897.3 999.3 1101.3 1203.3
 306.0 : 591.4 693.4 795.4 897.3 999.3 1101.3 1203.3
 897.3 : 102.0 204.0 306.0 408.0 510.0 611.9  1203.3
 999.3 : 102.0 204.0 306.0 408.0 510.0 1101.3 1203.3
 1101.3: 102.0 204.0 306.0 408.0 999.3 1101.3 1203.3
 1203.3

Interval class, Interval span, Span size, Gap to prev. class:
  1:  101.9900  .. 591.3800 cents      489.39000 cents                    101.99000 cents
  2:  203.9800  .. 693.3700 cents      489.39000 cents                   -387.40000 cents
  3:  305.9700  .. 795.3600 cents      489.39000 cents                   -387.40000 cents
  4:  407.9600  .. 897.3500 cents      489.39000 cents                   -387.40000 cents
  5:  509.9500  .. 999.3400 cents      489.39000 cents                   -387.40000 cents
  6:  611.9400  .. 1101.3300 cents     489.39000 cents                   -387.40000 cents

Number of notes                     : 7
-- Interval properties --
Smallest interval                   : 101.99000 cents, class 1
Average step (divided formal octave): 171.9029 cents
Largest one step interval           : 591.38000 cents
Average / Smallest step             : 1.685487
Largest / Average step              : 3.440199
Largest / Smallest step             : 5.798412
Median interval of one step         : 101.99000 cents, amount: 6
Most common interval of one step    : 101.99000 cents, amount: 6
Least squares average step          : 178.89414 cents, oct.:  1252.25900 cents
Scale is not proper
Scale has Myhill's property
  chromas: 489.39000 cents and 387.40000 cents, ratio: 1.263268
  generators: 1 of 101.99000 cents and 6 of 1101.33000 cents
ET pair of linear temperament       : 11&12
Scale is distributional even
Scale is a mode of a 1345-tone equal temperament with octave  1203.320 cents
  degrees: 114 228 342 1003 1117 1231 1345
  generators: 114 and 1231
Number of contiguous 1-step segments: 0
Step pattern alph. order: AAABAAA
Step pattern size order : SSSLSSS
Scale is a Constant Structure, by a margin of 20.56000 cents
Scale diversity                     : 1.286752
Lumma stability                     : 0.169514
Lumma impropriety factor            : 0.660971
Rothenberg efficiency               : 0.761905   redundancy: 0.238095
Efficiency x scale size             : 5.333333
Number of different interval sizes  : 12 = 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        : 20.56000 cents
Most common intervals               : 101.99000 cents & inv., amount: 6
Scale is a chain of 3 triads 0.0 305.970 1101.330 cents
Number of recognisable fifths       : 2, average 693.3700 cents
Number of recognisable fourths      : 2, average 509.9500 cents
Scale contains two identical disjunct tetrachords
Formal octave complements present   : 7 = 100.0000%
2/1 octave complements present      : 0 = 0.0000%
Inversional symmetry on degrees     :
 0
Inversional symmetry on intervals   :
 3-4
-- Rational properties --

  7:  1 0 1 3 1 0 1   N   T3 I SD: 45.8204 c. M:-69.9129 c. 
  8:  1 0 1 4 1 0 1   N   T3 I SD: 38.6952 c. M: 53.5650 c. 
 10:  1 1 1 4 1 1 1   N M DE I SD: 36.6840 c. M: 55.0260 c. 
 11:  1 1 1 5 1 1 1   N M DE I SD: 14.8055 c. M: 22.2082 c. 
 12:  1 1 1 6 1 1 1   N M DE I SD: 3.4267 c. M: 5.1400 c. 
 35:  3 3 3 17 3 3 3   N M DE I SD: 2.3034 c. M: 3.4551 c. 
 47:  4 4 4 23 4 4 4   N M DE I SD: 0.8404 c. M: 1.2606 c. 
 59:  5 5 5 29 5 5 5   N M DE I SD: 0.0275 c. M: 0.0412 c. 
 755: 64 64 64 371 64 64 64   N M DE I SD: 0.0266 c. M: 0.0399 c. 
 814: 69 69 69 400 69 69 69   N M DE I SD: 0.0227 c. M: 0.0340 c. 
 873: 74 74 74 429 74 74 74   N M DE I SD: 0.0193 c. M: 0.0289 c. 
 932: 79 79 79 458 79 79 79   N M DE I SD: 0.0163 c. M: 0.0245 c. 
 991: 84 84 84 487 84 84 84   N M DE I SD: 0.0137 c. M: 0.0206 c. 
 1050: 89 89 89 516 89 89 89   N M DE I SD: 0.0114 c. M: 0.0171 c. 
 1109: 94 94 94 545 94 94 94   N M DE I SD: 0.0093 c. M: 0.0140 c. 
 1168: 99 99 99 574 99 99 99   N M DE I SD: 0.0075 c. M:-0.0112 c. 
 1227: 104 104 104 603 104 104 104   N M DE I SD: 0.0058 c. M:-0.0087 c. 
 1286: 109 109 109 632 109 109 109   N M DE I SD: 0.0043 c. M:-0.0064 c. 
 1345: 114 114 114 661 114 114 114   N M DE I SD: 0.0029 c. M: 0.0043 c. 
 1404: 119 119 119 690 119 119 119   N M DE I SD: 0.0016 c. M: 0.0024 c. 
 1463: 124 124 124 719 124 124 124   N M DE I SD: 0.0004 c. M:-0.0006 c. 

 1 x x x x x x 2  S SD: 3.3200 cents
 2 x x x 3 x x 4  S SD: 97.7116 cents
 3 x x 4:5 x x 6  S SD: 64.1808 cents
 4 x x 5 x 7 x 8    SD: 28.6691 cents
 5 x x 6:8:9 x 10  S SD: 21.5602 cents
 6 x x 7:10:11 x 12    SD: 16.2227 cents
 7 x 8 x 12 x 13:14  S SD: 13.4827 cents
 8 x 9:10:13:14:15:16    SD: 17.3178 cents
 9 x 10:11:15:16:17:18    SD: 8.1190 cents
 10 x 11:12:17:18:19:20    SD: 8.3462 cents
 11:12 x 13:18:20:21:22    SD: 13.1887 cents
 12:13 x 14:20:21:23:24    SD: 11.3068 cents
 14:15:16:17:24:25:26:28    SD: 9.1947 cents
 15:16:17:18:25:27:28:30    SD: 5.1398 cents
 16:17:18:19:27:29:30:32    SD: 5.0482 cents
 30:32:34:36:50:53:57:60    SD: 4.1058 cents
 31:33:35:37:52:55:59:62    SD: 2.4768 cents
 46:49:52:55:77:82:87:92    SD: 1.9239 cents
 47:50:53:56:79:84:89:94    SD: 1.5313 cents
 63:67:71:75:106:112:119:126    SD: 1.2796 cents
 81:86:91:97:136:144:153:162    SD: 1.1771 cents
 82:87:92:98:138:146:155:164    SD: 1.0758 cents
 97:103:109:116:163:173:183:194    SD: 0.9611 cents
 118:125:133:141:198:210:223:236    SD: 0.8513 cents
 119:126:134:142:200:212:225:238    SD: 0.7430 cents
 146:155:164:174:245:260:276:293    SD: 0.7028 cents
 150:159:169:179:252:267:283:301    SD: 0.6489 cents
 160:170:180:191:269:285:302:321    SD: 0.6444 cents
 165:175:186:197:277:294:312:331    SD: 0.6284 cents
 181:192:204:216:304:322:342:363    SD: 0.5763 cents
 182:193:205:217:306:324:344:365    SD: 0.5466 cents
 197:209:222:235:331:351:372:395    SD: 0.4915 cents
 200:212:225:239:336:356:378:401    SD: 0.4647 cents
 216:229:243:258:363:385:408:433    SD: 0.3874 cents
 232:246:261:277:390:413:438:465    SD: 0.3794 cents
 233:247:262:278:391:415:440:467    SD: 0.2785 cents
 264:280:297:315:443:470:499:529    SD: 0.2456 cents
 280:297:315:334:470:499:529:561    SD: 0.1994 cents
 424:450:477:506:712:755:801:850    SD: 0.1960 cents
 461:489:519:550:774:821:871:924    SD: 0.1952 cents
 480:509:540:573:806:855:907:962    SD: 0.1288 cents
 512:543:576:611:860:912:967:1026    SD: 0.1052 cents
 543:576:611:648:912:967:1026:1088    SD: 0.0899 cents