Scala analysis: CD04_17_saba_Egypt

Aime celui qui est fou de toi - Dâwûd Khudr Husnî (saba, Egypt)

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        150.015 cents     150.014675
  2:        300.099 cents     300.099482
  3:        388.281 cents     388.281343
  4:        685.906 cents     685.905952
  5:        871.630 cents     871.629980
  6:       1004.655 cents    1004.654798
  7:       1200.000 cents    1200.000000
SHOW/INTERVAL
  0:        195.3452 cents    195.3452
  1:        150.0147 cents    150.0147
  2:        150.0848 cents    150.0848
  3:         88.1819 cents     88.1819
  4:        297.6246 cents    297.6246
  5:        185.7240 cents    185.7240
  6:        133.0248 cents    133.0248
  7:        195.3452 cents    195.3452
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 88.18186 cents
  1:   1 133.02482 cents
  1:   1 150.01467 cents
  1:   1 150.08481 cents
  1:   1 185.72403 cents
  1:   1 195.34520 cents
  1:   1 297.62461 cents
  2:   1 238.26667 cents
  2:   1 300.09948 cents
  2:   1 318.74885 cents
  2:   1 328.37002 cents
  2:   1 345.35988 cents
  2:   1 385.80647 cents
  2:   1 483.34864 cents
  3:   1 388.28134 cents
  3:   1 478.38469 cents
  3:   1 495.44468 cents
  3:   1 514.09405 cents
  3:   1 535.89128 cents
  3:   1 571.53050 cents
  3:   1 616.37345 cents
  4:   1 583.62655 cents
  4:   1 628.46950 cents
  4:   1 664.10872 cents
  4:   1 685.90595 cents
  4:   1 704.55532 cents
  4:   1 721.61531 cents
  4:   1 811.71866 cents
  5:   1 716.65136 cents
  5:   1 814.19353 cents
  5:   1 854.64012 cents
  5:   1 871.62998 cents
  5:   1 881.25115 cents
  5:   1 899.90052 cents
  5:   1 961.73333 cents
  6:   1 902.37539 cents
  6:   1 1004.65480 cents
  6:   1 1014.27597 cents
  6:   1 1049.91519 cents
  6:   1 1049.98533 cents
  6:   1 1066.97518 cents
  6:   1 1111.81814 cents
Highest number of different intervals for one interval class: 7
Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6      7     
 0.0   : 150.0 300.1 388.3 685.9 871.6 1004.7 1200.0
 150.0 : 150.1 238.3 535.9 721.6 854.6 1050.0 1200.0
 300.1 : 88.2  385.8 571.5 704.6 899.9 1049.9 1200.0
 388.3 : 297.6 483.3 616.4 811.7 961.7 1111.8 1200.0
 685.9 : 185.7 318.7 514.1 664.1 814.2 902.4  1200.0
 871.6 : 133.0 328.4 478.4 628.5 716.7 1014.3 1200.0
 1004.7: 195.3 345.4 495.4 583.6 881.3 1067.0 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  88.1819   .. 297.6246 cents      209.44275 cents                    88.18186 cents
  2:  238.2667  .. 483.3486 cents      245.08197 cents                   -59.35794 cents
  3:  388.2813  .. 616.3735 cents      228.09211 cents                   -95.06729 cents
  4:  583.6265  .. 811.7187 cents      228.09211 cents                   -32.74691 cents
  5:  716.6514  .. 961.7333 cents      245.08197 cents                   -95.06729 cents
  6:  902.3754  .. 1111.8181 cents     209.44275 cents                   -59.35794 cents
SHOW DATA
Number of notes                     : 7
-- Interval properties --
Smallest interval                   : 88.18186 cents, class 1
Average step (divided formal octave): 171.4286 cents
Largest one step interval           : 297.62461 cents
Average / Smallest step             : 1.944034
Largest / Average step              : 1.736144
Largest / Smallest step             : 3.375123
Median interval of one step         : 150.08481 cents, amount: 1
Least squares average step          : 167.46257 cents, oct.:  1172.23801 cents
Scale is not proper
Step pattern alph. order: ABCDEFG
Step pattern size order : CDAGEBF
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 2.47487 cents
Scale diversity                     : 1.628995
Lumma stability                     : 0.146970
Lumma impropriety factor            : 0.284664
Rothenberg efficiency               : 0.285714   redundancy: 0.714286
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 42 = 7.00000 / class
Number of one step interval sizes   : 7
Highest interval variety            : 7
Mean interval variety               : 7.00000 = 7
Median interval variety             : 7
Lowest interval variety             : 7
Smallest interval difference        : 0.07013 cents
Number of recognisable fifths       : 3, average 702.3709 cents
Number of appreciable fifths        : 1, average 704.5553 cents
Formal octave complements present   : 1 = 14.2857%
-- Rational properties --
FIT/MODE
  7:  1 1 0 2 1 1 1   N   T3   SD: 27.0767 c. M: 45.4242 c. 
 12:  2 1 1 3 2 1 2   N        SD: 22.8693 c. M:-49.9853 c. 
 14:  2 2 1 3 2 2 2   P   T3   SD: 25.8898 c. M:-42.7577 c. 
 15:  2 2 1 4 2 2 2   N        SD: 21.0944 c. M:-35.3452 c. 
 18:  2 2 2 4 3 2 3   N        SD: 16.6896 c. M: 33.4328 c. 
 19:  2 3 1 5 3 2 3   N        SD: 12.9044 c. M: 23.6989 c. 
 23:  3 3 1 6 4 2 4   N        SD: 13.1661 c. M: 23.0640 c. 
 24:  3 3 2 6 3 3 4   N        SD: 10.8595 c. M: 21.6300 c. 
 25:  3 3 2 6 4 3 4   N        SD: 8.1388 c. M: 13.9060 c. 
 32:  4 4 2 8 5 4 5   N        SD: 7.9305 c. M: 13.2813 c. 
 37:  5 4 3 9 6 4 6   N        SD: 6.0470 c. M:-12.1475 c. 
 39:  5 5 3 9 6 5 6   N        SD: 8.5132 c. M:-11.7187 c. 
 40:  5 5 3 10 6 4 7   N        SD: 5.8205 c. M: 14.6548 c. 
 47:  6 6 3 12 7 5 8   N        SD: 5.0933 c. M: 8.9101 c. 
 49:  6 6 4 12 8 5 8   N        SD: 4.7993 c. M:-10.0027 c. 
 55:  7 7 4 13 9 6 9   N        SD: 4.6152 c. M: 9.5423 c. 
 56:  7 7 4 14 9 6 9   N        SD: 2.9523 c. M:-6.9414 c. 
 67:  8 9 5 16 11 7 11   N        SD: 4.8444 c. M: 6.7311 c. 
 68:  9 8 5 17 10 8 11   N        SD: 4.3504 c. M:-8.8089 c. 
 72:  9 9 5 18 11 8 12   N        SD: 3.3255 c. M: 4.9633 c. 
 80:  10 10 6 20 12 9 13   N        SD: 1.7929 c. M:-4.0940 c. 
 87:  11 11 6 22 13 10 14   N        SD: 2.5248 c. M:-3.7492 c. 
 96:  12 12 7 24 15 10 16   N        SD: 2.2736 c. M: 4.6548 c. 
 105: 13 13 8 26 16 12 17   N        SD: 1.7494 c. M: 3.0586 c. 
 121: 15 15 9 30 19 13 20   N        SD: 1.8240 c. M: 3.0019 c. 
 128: 16 16 9 32 20 14 21   N        SD: 1.6909 c. M: 3.9063 c. 
 129: 16 16 10 32 20 14 21   N        SD: 1.9627 c. M:-2.7886 c. 
 135: 17 17 10 33 21 15 22   N        SD: 1.5196 c. M:-2.8298 c. 
 136: 17 17 10 34 21 15 22   N        SD: 1.2278 c. M:-2.3293 c. 
 161: 20 20 12 40 25 18 26   N        SD: 1.0609 c. M: 1.9628 c. 
 191: 24 24 14 47 30 21 31   N        SD: 1.1098 c. M:-1.6684 c. 
 201: 25 25 15 50 31 22 33   N        SD: 0.9553 c. M: 1.6697 c. 
 208: 26 26 15 52 32 23 34   N        SD: 0.7864 c. M: 1.7429 c. 
 241: 30 30 18 60 37 27 39   N        SD: 0.8568 c. M: 1.3443 c. 
 263: 33 33 19 65 41 29 43   N        SD: 0.8087 c. M: 1.4953 c. 
 271: 34 34 20 67 42 30 44   N        SD: 0.7715 c. M:-1.3866 c. 
 288: 36 36 21 72 44 32 47   N        SD: 0.7592 c. M:-1.5940 c. 
 296: 37 37 22 73 46 33 48   N        SD: 0.5334 c. M:-0.9078 c. 
 343: 43 43 25 85 53 38 56   N        SD: 0.4458 c. M:-0.7752 c. 
 392: 49 49 29 97 61 43 64   N        SD: 0.4293 c. M:-0.8190 c. 
 399: 50 50 29 99 62 44 65   N        SD: 0.3805 c. M:-0.6524 c. 
 479: 60 60 35 119 74 53 78   N        SD: 0.3118 c. M:-0.5268 c. 
 504: 63 63 37 125 78 56 82   N        SD: 0.1381 c. M: 0.2014 c. 
 976: 122 122 72 242 151 108 159   N        SD: 0.1334 c. M:-0.2432 c. 
 983: 123 123 72 244 152 109 160   N        SD: 0.1156 c. M:-0.2057 c. 
 1279: 160 160 94 317 198 142 208   N        SD: 0.1140 c. M:-0.1927 c. 
 1400: 175 175 103 347 217 155 228   N        SD: 0.0933 c. M: 0.1917 c. 
 1480: 185 185 109 367 229 164 241   N        SD: 0.0595 c. M: 0.0995 c. 
 1879: 235 235 138 466 291 208 306   N        SD: 0.0613 c. M:-0.1103 c. 
 1984: 248 248 146 492 307 220 323   N        SD: 0.0458 c. M: 0.0995 c. 
 2383: 298 298 175 591 369 264 388   N        SD: 0.0373 c. M:-0.0483 c. 
FIT/HARMONIC
 1 x x x x x x 2  S SD: 0.0000 cents
 2 x x x 3 x x 4  S SD: 8.0245 cents
 3 x x 4 x 5 x 6  S SD: 36.8331 cents
 4 x x 5:6 x 7:8  S SD: 9.8271 cents
 5 x 6 x 7:8:9:10  S SD: 24.0473 cents
 6 x 7:8:9:10:11:12  S SD: 20.7970 cents
 7 x 8:9:10:12:13:14  S SD: 23.5110 cents
 8:9 x 10:12:13:14:16  S SD: 12.2670 cents
 9:10 x 11:13:15:16:18    SD: 12.2297 cents
 11:12:13:14:16:18:20:22  S SD: 8.6211 cents
 12:13:14:15:18:20:21:24  S SD: 7.7489 cents
 19:21:23:24:28:31:34:38    SD: 7.2053 cents
 20:22:24:25:30:33:36:40  S SD: 4.3259 cents
 23:25:27:29:34:38:41:46    SD: 4.0759 cents
 31:34:37:39:46:51:55:62    SD: 3.0917 cents
 32:35:38:40:48:53:57:64    SD: 2.5747 cents
 43:47:51:54:64:71:77:86    SD: 1.4919 cents
 64:70:76:80:95:106:114:128    SD: 1.2085 cents
 79:86:94:99:117:131:141:158    SD: 1.1982 cents
 80:87:95:100:119:132:143:160    SD: 1.0935 cents
 90:98:107:113:134:149:161:180    SD: 1.0687 cents
 99:108:118:124:147:164:177:198    SD: 0.7317 cents
 111:121:132:139:165:184:198:222    SD: 0.6478 cents
 132:144:157:165:196:218:236:264    SD: 0.6004 cents
 142:155:169:178:211:235:254:284    SD: 0.5942 cents
 144:157:171:180:214:238:257:288    SD: 0.5907 cents
 154:168:183:193:229:255:275:308    SD: 0.5060 cents
 179:195:213:224:266:296:320:358    SD: 0.3532 cents
 243:265:289:304:361:402:434:486    SD: 0.1478 cents
 454:495:540:568:675:751:811:908    SD: 0.1447 cents
 465:507:553:582:691:769:831:930    SD: 0.1398 cents
 529:577:629:662:786:875:945:1058    SD: 0.1113 cents
 576:628:685:721:856:953:1029:1152    SD: 0.0858 cents