Scala analysis: xen18-erlich-keemun-02

1L 1s MOS for Keemun, L=885.35, s=317.84

Generated by Scala: https://www.huygens-fokker.org/scala/

SHOW

  0:          1/1               0.000000 unison, perfect prime
  1:        885.350 cents     885.350000
  2:       1203.190 cents    1203.190000

SHOW/INTERVAL

  0:        317.8400 cents    317.8400
  1:        885.3500 cents    885.3500
  2:        317.8400 cents    317.8400

SHOW INTERVALS

Interval class, Number of incidences, Size:
  1:   1 317.84000 cents
  1:   1 885.35000 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     
 0.0   : 885.3 1203.2
 885.3 : 317.8 1203.2
 1203.2

SHOW/SPAN INTERVALS

Interval class, Interval span, Span size, Gap to prev. class:
  1:  317.8400  .. 885.3500 cents      567.51000 cents                    317.84000 cents

SHOW DATA

Number of notes                     : 2
-- Interval properties --
Smallest interval                   : 317.84000 cents, class 1
Average step (divided formal octave): 601.5950 cents
Largest one step interval           : 885.35000 cents
Average / Smallest step             : 1.892761
Largest / Average step              : 1.471671
Largest / Smallest step             : 2.785521
Median interval of one step         : 601.59500 cents, amount: 0
Least squares average step          : 658.34600 cents, oct.:  1316.69200 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 567.51000 cents and 249.67000 cents, ratio: 2.273040
  generator: 317.84000 cents
ET pair of linear temperament       : 15&19
Scale is distributional even
Scale is a mode of a 1041-tone equal temperament with octave  1203.190 cents
  degrees: 766 1041
  generator: 275
Number of contiguous 1-step segments: 0
Step pattern alph. order: AB
Step pattern size order : LS
Scale is a Constant Structure, by a margin of 317.84000 cents
Scale diversity                     : 1.460168
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.528329
Rothenberg efficiency               : 1.000000   redundancy: 0.000000
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 2 = 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        : 567.51000 cents
Most common intervals               : 317.84000 cents & inv., amount: 1
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best fifths form a closed circle
Steps are strictly decreasing
Formal octave complements present   : 1 = 50.0000%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions      :
 1
Inversional symmetry on intervals   :
 0-1 1-2
-- Rational properties --

FIT/MODE

  2:  1 1  SP B ME I SD: 200.6451 c. M: 283.7550 c. 
  3:  2 1  SP M ME   SD: 58.8478 c. M: 83.2233 c. 
  4:  3 1  SP M DE   SD: 12.0509 c. M:-17.0425 c. 
 11:  8 3  SP M DE   SD: 7.2851 c. M: 10.3027 c. 
 15:  11 4  SP M DE   SD: 2.1289 c. M: 3.0107 c. 
 19:  14 5  SP M DE   SD: 0.8563 c. M:-1.2111 c. 
 34:  25 9  SP M DE   SD: 0.4607 c. M: 0.6515 c. 
 53:  39 14  SP M DE   SD: 0.0115 c. M:-0.0162 c. 
 723: 532 191  SP M DE   SD: 0.0107 c. M: 0.0152 c. 
 776: 571 205  SP M DE   SD: 0.0092 c. M: 0.0130 c. 
 829: 610 219  SP M DE   SD: 0.0079 c. M: 0.0112 c. 
 882: 649 233  SP M DE   SD: 0.0067 c. M: 0.0095 c. 
 935: 688 247  SP M DE   SD: 0.0057 c. M: 0.0081 c. 
 988: 727 261  SP M DE   SD: 0.0048 c. M: 0.0068 c. 
 1041: 766 275  SP M DE   SD: 0.0039 c. M: 0.0056 c. 
 1094: 805 289  SP M DE   SD: 0.0032 c. M: 0.0045 c. 
 1147: 844 303  SP M DE   SD: 0.0025 c. M: 0.0036 c. 
 1200: 883 317  SP M DE   SD: 0.0019 c. M: 0.0027 c. 
 1253: 922 331  SP M DE   SD: 0.0013 c. M: 0.0019 c. 
 1306: 961 345  SP M DE   SD: 0.0008 c. M: 0.0012 c. 
 1359: 1000 359  SP M DE   SD: 0.0003 c. M: 0.0005 c. 
 1412: 1039 373  SP M DE   SD: 0.0001 c. M:-0.0001 c.

FIT/HARMONIC

 1 x 2  S SD: 3.1900 cents
 3:5:6    SD: 1.6702 cents
 138:230:277    SD: 1.6136 cents
 141:235:283    SD: 1.5505 cents
 144:240:289    SD: 1.4902 cents
 147:245:295    SD: 1.4327 cents
 150:250:301    SD: 1.3778 cents
 153:255:307    SD: 1.3254 cents
 156:260:313    SD: 1.2752 cents
 159:265:319    SD: 1.2273 cents
 162:270:325    SD: 1.1815 cents
 165:275:331    SD: 1.1378 cents
 168:280:337    SD: 1.0959 cents
 171:285:343    SD: 1.0559 cents
 172:287:345    SD: 1.0500 cents
 174:290:349    SD: 1.0177 cents
 175:292:351    SD: 1.0041 cents
 177:295:355    SD: 0.9812 cents
 178:297:357    SD: 0.9597 cents
 180:300:361    SD: 0.9463 cents
 181:302:363    SD: 0.9168 cents
 183:305:367    SD: 0.9131 cents
 184:307:369    SD: 0.8754 cents
 187:312:375    SD: 0.8354 cents
 190:317:381    SD: 0.7966 cents
 193:322:387    SD: 0.7591 cents
 196:327:393    SD: 0.7228 cents
 199:332:399    SD: 0.6877 cents
 202:337:405    SD: 0.6537 cents
 205:342:411    SD: 0.6207 cents
 208:347:417    SD: 0.5888 cents
 211:352:423    SD: 0.5579 cents
 214:357:429    SD: 0.5279 cents
 217:362:435    SD: 0.4989 cents
 220:367:441    SD: 0.4707 cents
 223:372:447    SD: 0.4435 cents
 226:377:453    SD: 0.4172 cents
 229:382:459    SD: 0.3917 cents
 232:387:465    SD: 0.3671 cents
 235:392:471    SD: 0.3433 cents
 238:397:477    SD: 0.3204 cents
 241:402:483    SD: 0.2985 cents
 244:407:489    SD: 0.2774 cents
 247:412:495    SD: 0.2573 cents
 250:417:501    SD: 0.2382 cents
 253:422:507    SD: 0.2202 cents
 256:427:513    SD: 0.2034 cents
 259:432:519    SD: 0.1879 cents
 262:437:525    SD: 0.1739 cents
 265:442:531    SD: 0.1616 cents
 268:447:537    SD: 0.1512 cents
 271:452:543    SD: 0.1430 cents
 274:457:549    SD: 0.1370 cents
 277:462:555    SD: 0.1335 cents
 280:467:561    SD: 0.1325 cents