Scala analysis: CD04_11_Egypt

Chaque jour, je me plains de la blessure de mon coeur - Dâwûd Khudr Husnî (nahawand, Egypt)

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        212.781 cents     212.781397
  2:        316.325 cents     316.324574
  3:        611.123 cents     611.123081
  4:        706.719 cents     706.719475
  5:        811.654 cents     811.654054
  6:       1200.000 cents    1200.000000
SHOW/INTERVAL
  0:        388.3459 cents    388.3459
  1:        212.7814 cents    212.7814
  2:        103.5432 cents    103.5432
  3:        294.7985 cents    294.7985
  4:         95.5964 cents     95.5964
  5:        104.9346 cents    104.9346
  6:        388.3459 cents    388.3459
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 95.59639 cents
  1:   1 103.54318 cents
  1:   1 104.93458 cents
  1:   1 212.78140 cents
  1:   1 294.79851 cents
  1:   1 388.34595 cents
  2:   1 200.53097 cents
  2:   1 316.32457 cents
  2:   1 390.39490 cents
  2:   1 398.34168 cents
  2:   1 493.28053 cents
  2:   1 601.12734 cents
  3:   1 493.93808 cents
  3:   1 495.32948 cents
  3:   1 588.87692 cents
  3:   1 611.12308 cents
  3:   1 704.67052 cents
  3:   1 706.06192 cents
  4:   1 598.87266 cents
  4:   1 706.71947 cents
  4:   1 801.65832 cents
  4:   1 809.60510 cents
  4:   1 883.67543 cents
  4:   1 999.46903 cents
  5:   1 811.65405 cents
  5:   1 905.20149 cents
  5:   1 987.21860 cents
  5:   1 1095.06542 cents
  5:   1 1096.45682 cents
  5:   1 1104.40361 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   : 212.8 316.3 611.1 706.7 811.7  1200.0
 212.8 : 103.5 398.3 493.9 598.9 987.2  1200.0
 316.3 : 294.8 390.4 495.3 883.7 1096.5 1200.0
 611.1 : 95.6  200.5 588.9 801.7 905.2  1200.0
 706.7 : 104.9 493.3 706.1 809.6 1104.4 1200.0
 811.7 : 388.3 601.1 704.7 999.5 1095.1 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  95.5964   .. 388.3459 cents      292.74955 cents                    95.59639 cents
  2:  200.5310  .. 601.1273 cents      400.59637 cents                   -187.81497 cents
  3:  493.9381  .. 706.0619 cents      212.12384 cents                   -107.18927 cents
  4:  598.8727  .. 999.4690 cents      400.59637 cents                   -107.18927 cents
  5:  811.6541  .. 1104.4036 cents     292.74955 cents                   -187.81497 cents
SHOW DATA
Number of notes                     : 6
-- Interval properties --
Smallest interval                   : 95.59639 cents, class 1
Average step (divided formal octave): 200.0000 cents
Largest one step interval           : 388.34595 cents
Average / Smallest step             : 2.092129
Largest / Average step              : 1.941730
Largest / Smallest step             : 4.062349
Median interval of one step         : 158.85799 cents, amount: 0
Least squares average step          : 184.21921 cents, oct.:  1105.31525 cents
Scale is not proper
Step pattern alph. order: ABCDEF
Step pattern size order : DBEACF
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 0.65755 cents
Scale diversity                     : 1.502093
Lumma stability                     : 0.159327
Lumma impropriety factor            : 0.489795
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        : 0.65755 cents
Number of recognisable fifths       : 3, average 705.8173 cents
Formal octave complements present   : 1 = 16.6667%
-- Rational properties --
FIT/MODE
  6:  1 1 1 1 0 2   N   T3   SD: 51.8423 c. M:-93.2805 c. 
  7:  1 1 2 0 1 2   N   D3   SD: 41.8097 c. M:-74.5912 c. 
 10:  2 1 2 1 1 3   N        SD: 25.0066 c. M:-43.6754 c. 
 12:  2 1 3 1 1 4   N        SD: 11.0646 c. M: 16.3246 c.  Raga Syamalam
 22:  4 2 5 2 2 7   N        SD: 7.3142 c. M: 11.1231 c. 
 34:  6 3 8 3 3 11   N        SD: 4.6047 c. M: 11.1231 c. 
 41:  7 4 10 3 4 13   N        SD: 5.5756 c. M: 7.9033 c. 
 46:  8 4 11 4 4 15   N        SD: 5.2529 c. M: 11.1231 c. 
 49:  9 4 12 4 4 16   N        SD: 3.8281 c. M:-7.6268 c. 
 61:  11 5 15 5 5 20   N        SD: 2.7486 c. M: 5.0967 c. 
 68:  12 6 17 5 6 22   N        SD: 2.7706 c. M:-6.5240 c. 
 73:  13 6 18 6 6 24   N        SD: 3.2502 c. M: 6.1746 c. 
 75:  13 7 18 6 7 24   N        SD: 3.4739 c. M: 4.7814 c. 
 78:  14 7 19 6 7 25   N        SD: 3.7726 c. M:-6.7523 c. 
 80:  14 7 20 6 7 26   N        SD: 2.2440 c. M:-3.8769 c. 
 90:  16 8 22 7 8 29   N        SD: 1.8939 c. M:-3.6754 c. 
 102: 18 9 25 8 9 33   N        SD: 0.8070 c. M:-1.3225 c. 
 216: 38 19 53 17 19 70   N        SD: 0.8714 c. M: 1.6703 c. 
 253: 45 22 62 20 22 82   N        SD: 0.7587 c. M:-1.4620 c. 
 265: 47 23 65 21 23 86   N        SD: 0.5399 c. M: 1.0880 c. 
 334: 59 29 82 27 29 108   N        SD: 0.5816 c. M:-1.0650 c. 
 350: 62 30 86 28 31 113   N        SD: 0.6555 c. M:-0.9174 c. 
 365: 65 31 90 29 32 118   N        SD: 0.5272 c. M:-0.9172 c. 
 367: 65 32 90 29 32 119   N        SD: 0.5240 c. M:-0.8416 c. 
 379: 67 33 93 30 33 123   N        SD: 0.5971 c. M: 1.1000 c. 
 383: 68 33 94 31 33 124   N        SD: 0.5819 c. M:-1.3745 c. 
 395: 70 34 97 32 34 128   N        SD: 0.5679 c. M:-1.1286 c. 
 399: 71 34 98 32 35 129   N        SD: 0.4747 c. M:-0.7524 c. 
 424: 75 37 104 34 37 137   N        SD: 0.5470 c. M:-0.8277 c. 
 436: 77 38 107 35 38 141   N        SD: 0.4543 c. M: 0.8548 c. 
 452: 80 39 111 36 40 146   N        SD: 0.4795 c. M:-0.7353 c. 
 455: 81 39 112 36 40 147   N        SD: 0.5370 c. M:-0.8450 c. 
 458: 81 40 112 37 40 148   N        SD: 0.5835 c. M:-0.7060 c. 
 463: 82 40 114 37 40 150   N        SD: 0.4576 c. M:-0.8399 c. 
 467: 83 40 115 37 41 151   N        SD: 0.3238 c. M:-0.4948 c. 
 479: 85 41 118 38 42 155   N        SD: 0.3045 c. M: 0.6670 c. 
 501: 89 43 123 40 44 162   N        SD: 0.2641 c. M:-0.3923 c. 
 569: 101 49 140 45 50 184   N        SD: 0.2622 c. M:-0.4762 c. 
 581: 103 50 143 46 51 188   N        SD: 0.2178 c. M: 0.3511 c. 
 603: 107 52 148 48 53 195   N        SD: 0.1868 c. M:-0.2862 c. 
 766: 136 66 188 61 67 248   N        SD: 0.1729 c. M:-0.2734 c. 
 868: 154 75 213 69 76 281   N        SD: 0.1726 c. M: 0.2679 c. 
 964: 171 83 237 77 84 312   N        SD: 0.1562 c. M:-0.3345 c. 
 1066: 189 92 262 85 93 345   N        SD: 0.1068 c. M:-0.2224 c. 
 1078: 191 93 265 86 94 349   N        SD: 0.1323 c. M: 0.1836 c. 
 1100: 195 95 270 88 96 356   N        SD: 0.1201 c. M: 0.2140 c. 
 1168: 207 101 287 93 102 378   N        SD: 0.1109 c. M:-0.1783 c. 
 1202: 213 104 295 96 105 389   N        SD: 0.1087 c. M:-0.1480 c. 
 1545: 274 133 380 123 135 500   N        SD: 0.1078 c. M: 0.2081 c. 
 1567: 278 135 385 125 137 507   N        SD: 0.0760 c. M:-0.1095 c. 
 1669: 296 144 410 133 146 540   N        SD: 0.0479 c. M:-0.0895 c. 
 1681: 298 145 413 134 147 544   N        SD: 0.0468 c. M: 0.0842 c. 
 2250: 399 194 553 179 197 728   N        SD: 0.0558 c. M:-0.0793 c. 
FIT/HARMONIC
 1 x x x x x 2  S SD: 0.0000 cents
 2 x x x 3 x 4  S SD: 2.3822 cents
 3 x x 4 x 5:6  S SD: 44.8115 cents
 4 x 5 x 6 x 8  S SD: 23.3837 cents
 5 x 6:7 x 8:10  S SD: 7.1728 cents
 6 x 7 x 9:10:12    SD: 22.0147 cents
 7:8 x 10 x 11:14    SD: 8.7651 cents
 9:10:11:13 x 14:18    SD: 13.7454 cents
 10:11:12:14:15:16:20  S SD: 9.3222 cents
 12 x 14:17:18:19:24    SD: 10.5706 cents
 14:16:17:20:21:22:28    SD: 6.7580 cents
 16:18:19:23:24:26:32    SD: 6.6314 cents
 22:25:26:31:33:35:44    SD: 5.7613 cents
 24:27:29:34:36:38:48    SD: 3.9232 cents
 30:34:36:43:45:48:60    SD: 2.2948 cents
 40:45:48:57:60:64:80    SD: 1.7490 cents
 45:51:54:64:68:72:90    SD: 1.5443 cents
 69:78:83:98:104:110:138    SD: 1.2590 cents
 75:85:90:107:113:120:150    SD: 1.1152 cents
 85:96:102:121:128:136:170    SD: 0.6031 cents
 139:157:167:198:209:222:278    SD: 0.5069 cents
 175:198:210:249:263:280:350    SD: 0.4736 cents
 184:208:221:262:277:294:368    SD: 0.3295 cents
 244:276:293:347:367:390:488    SD: 0.2768 cents
 274:310:329:390:412:438:548    SD: 0.2052 cents
 359:406:431:511:540:574:718    SD: 0.1446 cents
 458:518:550:652:689:732:916    SD: 0.1329 cents