Scala analysis: CD12_05_Iraq

Comment me salues-tu sans évoquer la mémoire de mes parents ? - Ensemble de Muhammad Al-Qubbbânjî (mukhalif, Iraq)

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        124.276 cents     124.276319
  2:        278.972 cents     278.972222
  3:        380.473 cents     380.473173
  4:        609.661 cents     609.661105
  5:        848.889 cents     848.888889
  6:       1200.000 cents    1200.000000
SHOW/INTERVAL
  0:        351.1111 cents    351.1111
  1:        124.2763 cents    124.2763
  2:        154.6959 cents    154.6959
  3:        101.5010 cents    101.5010
  4:        229.1879 cents    229.1879
  5:        239.2278 cents    239.2278
  6:        351.1111 cents    351.1111
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 101.50095 cents
  1:   1 124.27632 cents
  1:   1 154.69590 cents
  1:   1 229.18793 cents
  1:   1 239.22778 cents
  1:   1 351.11111 cents
  2:   1 256.19685 cents
  2:   1 278.97222 cents
  2:   1 330.68888 cents
  2:   1 468.41572 cents
  2:   1 475.38743 cents
  2:   1 590.33889 cents
  3:   1 380.47317 cents
  3:   1 485.38479 cents
  3:   1 569.91667 cents
  3:   1 630.08333 cents
  3:   1 714.61521 cents
  3:   1 819.52683 cents
  4:   1 609.66111 cents
  4:   1 724.61257 cents
  4:   1 731.58428 cents
  4:   1 869.31112 cents
  4:   1 921.02778 cents
  4:   1 943.80315 cents
  5:   1 848.88889 cents
  5:   1 960.77222 cents
  5:   1 970.81207 cents
  5:   1 1045.30410 cents
  5:   1 1075.72368 cents
  5:   1 1098.49905 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   : 124.3 279.0 380.5 609.7 848.9  1200.0
 124.3 : 154.7 256.2 485.4 724.6 1075.7 1200.0
 279.0 : 101.5 330.7 569.9 921.0 1045.3 1200.0
 380.5 : 229.2 468.4 819.5 943.8 1098.5 1200.0
 609.7 : 239.2 590.3 714.6 869.3 970.8  1200.0
 848.9 : 351.1 475.4 630.1 731.6 960.8  1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  101.5010  .. 351.1111 cents      249.61016 cents                    101.50095 cents
  2:  256.1969  .. 590.3389 cents      334.14204 cents                   -94.91426 cents
  3:  380.4732  .. 819.5268 cents      439.05365 cents                   -209.86572 cents
  4:  609.6611  .. 943.8031 cents      334.14204 cents                   -209.86572 cents
  5:  848.8889  .. 1098.4990 cents     249.61016 cents                   -94.91426 cents
SHOW DATA
Number of notes                     : 6
-- Interval properties --
Smallest interval                   : 101.50095 cents, class 1
Average step (divided formal octave): 200.0000 cents
Largest one step interval           : 351.11111 cents
Average / Smallest step             : 1.970425
Largest / Average step              : 1.755556
Largest / Smallest step             : 3.459190
Median interval of one step         : 191.94192 cents, amount: 0
Least squares average step          : 172.60142 cents, oct.:  1035.60852 cents
Scale is not proper
Step pattern alph. order: ABCDEF
Step pattern size order : BCADEF
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 9.99736 cents
Scale diversity                     : 1.644887
Lumma stability                     : 0.169168
Lumma impropriety factor            : 0.507967
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        : 6.97171 cents
Number of recognisable fifths       : 1, average 714.6152 cents
Number of appreciable fifths        : 0
Formal octave complements present   : 1 = 16.6667%
-- Rational properties --
FIT/MODE
  6:  0 1 1 1 1 2   N   T3   SD: 63.9609 c. M: 124.2763 c. 
  7:  1 1 0 2 1 2   N        SD: 47.5601 c. M:-76.0532 c. 
  8:  1 1 1 1 2 2   N   D3 S SD: 37.9551 c. M:-69.5268 c. 
  9:  1 1 1 2 1 3   N        SD: 32.2865 c. M:-57.0056 c. 
 10:  1 1 1 2 2 3   N        SD: 18.8353 c. M: 38.9722 c. 
 14:  1 2 1 3 3 4   N        SD: 24.2899 c. M: 38.5620 c. 
 16:  2 2 1 3 3 5   N        SD: 17.3101 c. M:-25.7237 c. 
 17:  2 2 1 4 3 5   N        SD: 16.9089 c. M: 27.5320 c. 
 18:  2 2 2 3 4 5   N        SD: 13.0648 c. M:-19.5268 c. 
 21:  2 3 2 4 4 6   N        SD: 12.5982 c. M:-19.5268 c. 
 25:  3 3 2 5 5 7   N        SD: 12.3620 c. M:-19.7237 c. 
 26:  3 3 2 5 5 8   N        SD: 11.2062 c. M: 18.1197 c. 
 28:  3 4 2 5 6 8   N        SD: 10.4047 c. M:-21.0278 c. 
 30:  3 4 2 6 6 9   N        SD: 10.0900 c. M: 20.4732 c. 
 31:  3 4 3 6 6 9   N        SD: 6.7788 c. M:-9.6937 c. 
 35:  4 4 3 7 7 10   N        SD: 7.3338 c. M:-12.8665 c. 
 37:  4 5 3 7 7 11   N        SD: 7.6100 c. M:-12.9197 c. 
 38:  4 5 3 7 8 11   N        SD: 4.8524 c. M: 9.6611 c. 
 47:  5 6 4 9 9 14   N        SD: 3.4408 c. M: 6.3357 c. 
 57:  6 7 5 11 11 17   N        SD: 3.6791 c. M: 6.7836 c. 
 59:  6 8 5 11 12 17   N        SD: 4.1400 c. M:-5.9675 c. 
 61:  6 8 5 12 12 18   N        SD: 4.1943 c. M: 6.7027 c. 
 65:  7 8 6 12 13 19   N        SD: 3.6779 c. M:-7.2191 c. 
 69:  7 9 6 13 14 20   N        SD: 1.9675 c. M:-3.2850 c. 
 95:  10 12 8 18 19 28   N        SD: 2.0600 c. M: 3.3453 c. 
 116: 12 15 10 22 23 34   N        SD: 1.0165 c. M:-2.2854 c. 
 154: 16 20 13 29 31 45   N        SD: 1.1596 c. M: 1.8689 c. 
 164: 17 21 14 31 33 48   N        SD: 1.0305 c. M: 2.3440 c. 
 201: 21 26 17 38 40 59   N        SD: 1.1709 c. M:-1.6248 c. 
 202: 21 26 17 39 40 59   N        SD: 0.9718 c. M:-2.2201 c. 
 211: 22 27 18 40 42 62   N        SD: 0.8791 c. M: 1.4955 c. 
 215: 22 28 18 41 43 63   N        SD: 0.9152 c. M: 1.4856 c. 
 240: 25 31 20 46 48 70   N        SD: 0.7250 c. M:-1.1111 c. 
 250: 26 32 21 48 50 73   N        SD: 0.6748 c. M: 1.2732 c. 
 280: 29 36 24 53 56 82   N        SD: 0.6274 c. M: 1.0897 c. 
 297: 31 38 25 57 59 87   N        SD: 0.5477 c. M:-0.9762 c. 
 331: 34 43 28 63 66 97   N        SD: 0.5412 c. M: 1.0135 c. 
 356: 37 46 30 68 71 104   N        SD: 0.5046 c. M:-0.8031 c. 
 366: 38 47 31 70 73 107   N        SD: 0.2294 c. M:-0.3138 c. 
 482: 50 62 41 92 96 141   N        SD: 0.2406 c. M:-0.4397 c. 
 581: 60 75 49 111 116 170   N        SD: 0.2803 c. M: 0.4387 c. 
 628: 65 81 53 120 125 184   N        SD: 0.2221 c. M: 0.4812 c. 
 697: 72 90 59 133 139 204   N        SD: 0.1596 c. M: 0.3165 c. 
 848: 88 109 72 162 169 248   N        SD: 0.1941 c. M:-0.2520 c. 
 868: 90 112 73 166 173 254   N        SD: 0.1787 c. M:-0.2905 c. 
 899: 93 116 76 172 179 263   N        SD: 0.1566 c. M:-0.3500 c. 
 937: 97 121 79 179 187 274   N        SD: 0.1331 c. M:-0.2167 c. 
 994: 103 128 84 190 198 291   N        SD: 0.1225 c. M: 0.1967 c. 
 1053: 109 136 89 201 210 308   N        SD: 0.1250 c. M:-0.2301 c. 
 1063: 110 137 90 203 212 311   N        SD: 0.0774 c. M: 0.1387 c. 
 1419: 147 183 120 271 283 415   N        SD: 0.0879 c. M:-0.1597 c. 
 1429: 148 184 121 273 285 418   N        SD: 0.0864 c. M: 0.1759 c. 
 1476: 153 190 125 282 294 432   N        SD: 0.0877 c. M:-0.1139 c. 
 1545: 160 199 131 295 308 452   N        SD: 0.0763 c. M: 0.1373 c. 
 1931: 200 249 163 369 385 565   N        SD: 0.0671 c. M: 0.1521 c. 
 2000: 207 258 169 382 399 585   N        SD: 0.0683 c. M:-0.1111 c. 
 2047: 212 264 173 391 408 599   N        SD: 0.0333 c. M:-0.0703 c. 
FIT/HARMONIC
 1 x x x x x 2  S SD: 0.0000 cents
 2 x x x 3 x 4  S SD: 46.1469 cents
 3 x x x 4:5:6  S SD: 39.0388 cents
 4 x x 5:6:7:8  S SD: 37.8626 cents
 5 x 6 x 7:8:10  S SD: 14.4068 cents
 6 x 7 x 9:10:12    SD: 24.9032 cents
 7 x 8:9:10:11:14    SD: 19.7351 cents
 8 x 9:10:11:13:16    SD: 19.1231 cents
 9:10 x 11:13:15:18    SD: 16.0709 cents
 10:11:12 x 14:16:20  S SD: 14.1134 cents
 11:12:13:14:16:18:22    SD: 10.1484 cents
 12:13:14:15:17:20:24    SD: 6.8464 cents
 16:17:19:20:23:26:32    SD: 5.6949 cents
 24:26:28:30:34:39:48    SD: 3.7239 cents
 28:30:33:35:40:46:56    SD: 2.6885 cents
 40:43:47:50:57:65:80    SD: 1.8038 cents
 52:56:61:65:74:85:104    SD: 1.3112 cents
 57:61:67:71:81:93:114    SD: 1.1954 cents
 69:74:81:86:98:113:138    SD: 1.0999 cents
 81:87:95:101:115:132:162    SD: 0.9387 cents
 109:117:128:136:155:178:218    SD: 0.5404 cents
 187:201:220:233:266:305:374    SD: 0.5348 cents
 188:202:221:234:267:307:376    SD: 0.4957 cents
 199:214:234:248:283:325:398    SD: 0.3775 cents
 228:245:268:284:324:372:456    SD: 0.3512 cents
 240:258:282:299:341:392:480    SD: 0.3181 cents
 256:275:301:319:364:418:512    SD: 0.2509 cents
 338:363:397:421:481:552:676    SD: 0.2502 cents
 349:375:410:435:496:570:698    SD: 0.2476 cents
 362:389:425:451:515:591:724    SD: 0.2367 cents
 419:450:492:522:596:684:838    SD: 0.2160 cents
 457:491:537:569:650:746:914    SD: 0.1966 cents
 469:504:551:584:667:766:938    SD: 0.1627 cents
 509:547:598:634:724:831:1018    SD: 0.1061 cents
 566:608:665:705:805:924:1132    SD: 0.1036 cents
 578:621:679:720:822:944:1156    SD: 0.0732 cents