Scala analysis: CD09_02_Egypt

Le seuil de ton sanctuaire est le but / Est-ce que la flamme de Laylâ ? - La Confrérie Laythiyya (unknown maqam, Egypt)

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        179.148 cents     179.148401
  2:        583.641 cents     583.641383
  3:        730.215 cents     730.214679
  4:        843.950 cents     843.950489
  5:        997.099 cents     997.099134
  6:       1200.000 cents    1200.000000
SHOW/INTERVAL
  0:        202.9009 cents    202.9009
  1:        179.1484 cents    179.1484
  2:        404.4930 cents    404.4930
  3:        146.5733 cents    146.5733
  4:        113.7358 cents    113.7358
  5:        153.1486 cents    153.1486
  6:        202.9009 cents    202.9009
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 113.73581 cents
  1:   1 146.57330 cents
  1:   1 153.14865 cents
  1:   1 179.14840 cents
  1:   1 202.90087 cents
  1:   1 404.49298 cents
  2:   1 260.30911 cents
  2:   1 266.88445 cents
  2:   1 356.04951 cents
  2:   1 382.04927 cents
  2:   1 551.06628 cents
  2:   1 583.64138 cents
  3:   1 413.45775 cents
  3:   1 469.78532 cents
  3:   1 535.19791 cents
  3:   1 664.80209 cents
  3:   1 730.21468 cents
  3:   1 786.54225 cents
  4:   1 616.35862 cents
  4:   1 648.93372 cents
  4:   1 817.95073 cents
  4:   1 843.95049 cents
  4:   1 933.11554 cents
  4:   1 939.69089 cents
  5:   1 795.50702 cents
  5:   1 997.09913 cents
  5:   1 1020.85160 cents
  5:   1 1046.85135 cents
  5:   1 1053.42670 cents
  5:   1 1086.26419 cents
Highest number of different intervals for one interval class: 6
Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5      6     
 0.0   : 179.1 583.6 730.2 844.0 997.1  1200.0
 179.1 : 404.5 551.1 664.8 818.0 1020.9 1200.0
 583.6 : 146.6 260.3 413.5 616.4 795.5  1200.0
 730.2 : 113.7 266.9 469.8 648.9 1053.4 1200.0
 844.0 : 153.1 356.0 535.2 939.7 1086.3 1200.0
 997.1 : 202.9 382.0 786.5 933.1 1046.9 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  113.7358  .. 404.4930 cents      290.75717 cents                    113.73581 cents
  2:  260.3091  .. 583.6414 cents      323.33228 cents                   -144.18388 cents
  3:  413.4578  .. 786.5422 cents      373.08450 cents                   -170.18363 cents
  4:  616.3586  .. 939.6909 cents      323.33228 cents                   -170.18363 cents
  5:  795.5070  .. 1086.2642 cents     290.75717 cents                   -144.18388 cents
SHOW DATA
Number of notes                     : 6
-- Interval properties --
Smallest interval                   : 113.73581 cents, class 1
Average step (divided formal octave): 200.0000 cents
Largest one step interval           : 404.49298 cents
Average / Smallest step             : 1.758461
Largest / Average step              : 2.022465
Largest / Smallest step             : 3.556426
Median interval of one step         : 166.14852 cents, amount: 0
Least squares average step          : 209.87223 cents, oct.:  1259.23337 cents
Scale is not proper
Step pattern alph. order: ABCDEF
Step pattern size order : DFBACE
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 8.96477 cents
Scale diversity                     : 1.654450
Lumma stability                     : 0.189560
Lumma impropriety factor            : 0.523946
Rothenberg efficiency               : 0.333333   redundancy: 0.666667
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 30 = 6.00000 / class
Number of one step interval sizes   : 6
Highest interval variety            : 6
Mean interval variety               : 6.00000 = 6
Median interval variety             : 6
Lowest interval variety             : 6
Smallest interval difference        : 6.57535 cents
Number of recognisable fifths       : 0
Formal octave complements present   : 1 = 16.6667%
-- Rational properties --
FIT/MODE
  6:  1 2 1 0 1 1   N   T3   SD: 35.3847 c. M:-69.7853 c. 
  7:  1 2 1 1 1 1   P M ME   SD: 36.5482 c. M: 69.3557 c. 
  8:  1 3 1 1 1 1   N M DE   SD: 35.2343 c. M:-56.0495 c. 
 10:  1 4 1 1 1 2   N        SD: 29.6154 c. M: 59.1484 c. 
 11:  2 3 2 1 1 2   N        SD: 29.3271 c. M:-39.0334 c. 
 12:  2 4 1 1 2 2   N        SD: 24.3426 c. M: 43.9505 c.  Raga Jaganmohanam
 13:  2 4 2 1 2 2   N        SD: 15.7785 c. M: 29.7952 c. 
 16:  2 6 2 1 2 3   N        SD: 19.8166 c. M: 29.1484 c. 
 17:  2 6 2 2 2 3   N        SD: 20.3335 c. M: 37.9719 c. 
 18:  3 6 2 2 2 3   N        SD: 14.3559 c. M:-22.7162 c. 
 20:  3 7 2 2 3 3   N        SD: 12.3337 c. M:-22.9009 c. 
 23:  3 8 3 2 3 4   N        SD: 10.9870 c. M: 22.6267 c. 
 24:  4 8 3 2 3 4   N        SD: 13.7772 c. M:-20.8516 c. 
 25:  4 8 3 3 3 4   N        SD: 11.8933 c. M:-20.0495 c. 
 26:  4 9 3 2 4 4   N        SD: 12.0665 c. M:-18.2855 c. 
 27:  4 9 3 3 3 5   N        SD: 11.3634 c. M: 19.3214 c. 
 28:  4 10 3 3 3 5   N        SD: 10.2758 c. M:-16.3586 c. 
 31:  5 10 4 3 4 5   N        SD: 8.0652 c. M:-14.4000 c. 
 33:  5 11 4 3 4 6   N        SD: 7.1900 c. M: 15.2810 c. 
 35:  5 12 4 4 4 6   N        SD: 7.5994 c. M:-13.1924 c. 
 39:  6 13 5 3 5 7   N        SD: 8.4502 c. M: 13.1813 c. 
 40:  6 13 5 4 5 7   N        SD: 7.7153 c. M: 13.6414 c. 
 41:  6 14 5 4 5 7   N        SD: 2.7375 c. M:-4.8300 c. 
 87:  13 29 11 8 11 15   N        SD: 2.6468 c. M: 4.3310 c. 
 94:  14 32 11 9 12 16   N        SD: 1.9750 c. M:-3.5927 c. 
 95:  14 32 12 9 12 16   N        SD: 2.0037 c. M: 2.5888 c. 
 107: 16 36 13 10 14 18   N        SD: 1.3486 c. M: 2.8290 c. 
 148: 22 50 18 14 19 25   N        SD: 0.4809 c. M: 0.7700 c. 
 368: 55 124 45 35 47 62   N        SD: 0.4077 c. M:-0.7270 c. 
 401: 60 135 49 38 51 68   N        SD: 0.2961 c. M: 0.5904 c. 
 496: 74 167 61 47 63 84   N        SD: 0.3653 c. M: 0.5769 c. 
 508: 76 171 62 48 65 86   N        SD: 0.3505 c. M: 0.6434 c. 
 516: 77 174 63 49 66 87   N        SD: 0.2580 c. M:-0.5753 c. 
 549: 82 185 67 52 70 93   N        SD: 0.1967 c. M: 0.3778 c. 
 697: 104 235 85 66 89 118   N        SD: 0.1996 c. M: 0.3350 c. 
 738: 110 249 90 70 94 125   N        SD: 0.1980 c. M: 0.3512 c. 
 769: 115 259 94 73 98 130   N        SD: 0.1692 c. M:-0.3054 c. 
 876: 131 295 107 83 112 148   N        SD: 0.1548 c. M:-0.3037 c. 
 917: 137 309 112 87 117 155   N        SD: 0.0742 c. M:-0.1319 c. 
 1065: 159 359 130 101 136 180   N        SD: 0.0466 c. M:-0.0840 c. 
 1982: 296 668 242 188 253 335   N        SD: 0.0482 c. M:-0.0754 c. 
FIT/HARMONIC
 1 x x x x x 2  S SD: 0.0000 cents
 2 x x 3 x x 4  S SD: 14.1298 cents
 3 x 4 x 5 x 6  S SD: 31.5517 cents
 4 x x 6 x 7:8  S SD: 13.3249 cents
 5:6:7 x 8:9:10  S SD: 28.2614 cents
 6:7:8:9:10:11:12  H SD: 23.6789 cents
 7:8:10:11 x 12:14  S SD: 20.6662 cents
 8:9:11:12:13:14:16    SD: 9.5272 cents
 10:11:14:15:16:18:20    SD: 8.0554 cents
 17:19:24:26:28:30:34    SD: 5.2010 cents
 19:21:27:29:31:34:38    SD: 4.6199 cents
 27:30:38:41:44:48:54    SD: 1.8799 cents
 55:61:77:84:90:98:110    SD: 1.6082 cents
 63:70:88:96:103:112:126    SD: 1.5707 cents
 65:72:91:99:106:116:130    SD: 1.1556 cents
 72:80:101:110:117:128:144    SD: 1.0663 cents
 92:102:129:140:150:164:184    SD: 0.9585 cents
 99:110:139:151:161:176:198    SD: 0.9317 cents
 110:122:154:168:179:196:220    SD: 0.7348 cents
 118:131:165:180:192:210:236    SD: 0.6739 cents
 137:152:192:209:223:244:274    SD: 0.4349 cents
 145:161:203:221:236:258:290    SD: 0.4279 cents
 175:194:245:267:285:311:350    SD: 0.4058 cents
 185:205:259:282:301:329:370    SD: 0.3825 cents
 202:224:283:308:329:359:404    SD: 0.2744 cents
 267:296:374:407:435:475:534    SD: 0.2216 cents
 312:346:437:476:508:555:624    SD: 0.1897 cents
 339:376:475:517:552:603:678    SD: 0.0989 cents
 551:611:772:840:897:980:1102    SD: 0.0856 cents