Scala analysis: CD09_03_Egypt

  0:          1/1               0.000000 unison, perfect prime
  1:        462.486 cents     462.485604
  2:        611.646 cents     611.646422
  3:        970.553 cents     970.553185
  4:       1200.000 cents    1200.000000

  0:        229.4468 cents    229.4468
  1:        462.4856 cents    462.4856
  2:        149.1608 cents    149.1608
  3:        358.9068 cents    358.9068
  4:        229.4468 cents    229.4468

Interval class, Number of incidences, Size:
  1:   1 149.16082 cents
  1:   1 229.44682 cents
  1:   1 358.90676 cents
  1:   1 462.48560 cents
  2:   1 508.06758 cents
  2:   1 588.35358 cents
  2:   1 611.64642 cents
  2:   1 691.93242 cents
  3:   1 737.51440 cents
  3:   1 841.09324 cents
  3:   1 970.55318 cents
  3:   1 1050.83918 cents
Highest number of different intervals for one interval class: 4
Average number of different intervals per interval class: 4.00000 = 4

         1     2     3      4     
 0.0   : 462.5 611.6 970.6  1200.0
 462.5 : 149.2 508.1 737.5  1200.0
 611.6 : 358.9 588.4 1050.8 1200.0
 970.6 : 229.4 691.9 841.1  1200.0
 1200.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  149.1608  .. 462.4856 cents      313.32479 cents                    149.16082 cents
  2:  508.0676  .. 691.9324 cents      183.86484 cents                    45.58198 cents
  3:  737.5144  .. 1050.8392 cents     313.32479 cents                    45.58198 cents

Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 149.16082 cents, class 1
Average step (divided formal octave): 300.0000 cents
Largest one step interval           : 462.48560 cents
Average / Smallest step             : 2.011252
Largest / Average step              : 1.541619
Largest / Smallest step             : 3.100584
Median interval of one step         : 294.17679 cents, amount: 0
Least squares average step          : 313.24793 cents, oct.:  1252.99173 cents
Scale is strictly proper
Step pattern alph. order: ABCD
Step pattern size order : DACB
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 45.58198 cents
Scale diversity                     : 1.734986
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.324571
Rothenberg efficiency               : 0.500000   redundancy: 0.500000
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 12 = 4.00000 / class
Number of one step interval sizes   : 4
Highest interval variety            : 4
Mean interval variety               : 4.00000 = 4
Median interval variety             : 4
Lowest interval variety             : 4
Smallest interval difference        : 23.29284 cents
Number of recognisable fifths       : 1, average 691.9324 cents
Best minor thirds form a closed circle
Formal octave complements present   : 1 = 25.0000%
-- Rational properties --

  4:  1 1 1 1  SP B ME I SD: 88.7623 c. M: 162.4856 c. 
  5:  2 1 1 1   P M ME   SD: 55.1331 c. M:-108.3536 c. 
  6:  2 1 2 1  SP B ME   SD: 35.0257 c. M: 62.4856 c.  Messiaen truncated mode 6 inverse
  8:  3 1 2 2   P   T3   SD: 36.2949 c. M: 70.5532 c. 
 10:  4 1 3 2   P        SD: 11.7661 c. M:-17.5144 c. 
 16:  6 2 5 3  SP        SD: 8.8219 c. M: 12.4856 c. 
 26:  10 3 8 5  SP        SD: 5.8797 c. M: 11.6464 c. 
 31:  12 4 9 6  SP        SD: 4.2263 c. M:-7.7084 c. 
 41:  16 5 12 8  SP        SD: 4.0229 c. M:-5.8071 c. 
 47:  18 6 14 9  SP        SD: 1.5688 c. M: 2.9111 c. 
 57:  22 7 17 11  SP        SD: 1.2503 c. M: 2.1321 c. 
 104: 40 13 31 20  SP        SD: 0.8151 c. M: 1.3224 c. 
 163: 63 20 49 31  SP        SD: 0.9493 c. M:-1.3181 c. 
 184: 71 23 55 35  SP        SD: 0.9578 c. M:-1.3971 c. 
 194: 75 24 58 37  SP        SD: 0.8534 c. M:-1.4319 c. 
 200: 77 25 60 38  SP        SD: 0.7833 c. M:-1.4468 c. 
 210: 81 26 63 40  SP        SD: 0.4878 c. M:-0.8754 c. 
 241: 93 30 72 46  SP        SD: 0.5352 c. M:-0.8017 c. 
 257: 99 32 77 49  SP        SD: 0.3462 c. M:-0.6530 c. 
 267: 103 33 80 51  SP        SD: 0.3212 c. M:-0.4357 c. 
 298: 115 37 89 57  SP        SD: 0.3733 c. M:-0.6016 c. 
 314: 121 39 94 60  SP        SD: 0.1214 c. M: 0.1815 c. 
 612: 236 76 183 117  SP        SD: 0.1437 c. M:-0.2595 c. 
 659: 254 82 197 126  SP        SD: 0.0964 c. M:-0.1897 c. 
 716: 276 89 214 137  SP        SD: 0.1008 c. M: 0.1621 c. 
 926: 357 115 277 177  SP        SD: 0.0836 c. M:-0.1494 c. 
 973: 375 121 291 186  SP        SD: 0.0439 c. M:-0.0699 c. 
 1030: 397 128 308 197  SP        SD: 0.0391 c. M: 0.0677 c. 
 1287: 496 160 385 246  SP        SD: 0.0390 c. M:-0.0762 c. 
 1344: 518 167 402 257  SP        SD: 0.0227 c. M: 0.0393 c. 
 2003: 772 249 599 383  SP        SD: 0.0213 c. M:-0.0361 c. 
 2317: 893 288 693 443  SP        SD: 0.0083 c. M:-0.0122 c. 

 1 x x x 2  S SD: 0.0000 cents
 2 x 3 x 4  S SD: 45.1543 cents
 3:4 x 5:6  S SD: 31.0805 cents
 4:5:6:7:8  H SD: 29.5389 cents
 5 x 7:9:10    SD: 18.4447 cents
 7:9:10:12:14    SD: 11.6874 cents
 12:16:17:21:24    SD: 9.1590 cents
 16:21:23:28:32    SD: 4.6656 cents
 23:30:33:40:46    SD: 4.6171 cents
 26:34:37:46:52    SD: 4.3307 cents
 29:38:41:51:58    SD: 3.7381 cents
 33:43:47:58:66    SD: 1.7924 cents
 49:64:70:86:98    SD: 1.6792 cents
 52:68:74:91:104    SD: 0.6821 cents
 85:111:121:149:170    SD: 0.3239 cents
 137:179:195:240:274    SD: 0.1680 cents
 222:290:316:389:444    SD: 0.1635 cents
 359:469:511:629:718    SD: 0.1509 cents
 366:478:521:641:732    SD: 0.1424 cents
 415:542:591:727:830    SD: 0.1233 cents
 451:589:642:790:902    SD: 0.1131 cents
 467:610:665:818:934    SD: 0.0765 cents
 552:721:786:967:1104    SD: 0.0541 cents