Scala analysis: CD11_19_Iraq
Suite - Ensemble de Muhammad Al-Qubbbânjî (mansuri, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 142.737 cents 142.736860 2: 331.642 cents 331.641590 3: 550.658 cents 550.658150 4: 841.091 cents 841.090559 5: 1042.975 cents 1042.975003 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 157.0250 cents 157.0250 1: 142.7369 cents 142.7369 2: 188.9047 cents 188.9047 3: 219.0166 cents 219.0166 4: 290.4324 cents 290.4324 5: 201.8844 cents 201.8844 6: 157.0250 cents 157.0250
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 142.73686 cents 1: 1 157.02500 cents 1: 1 188.90473 cents 1: 1 201.88444 cents 1: 1 219.01656 cents 1: 1 290.43241 cents 2: 1 299.76186 cents 2: 1 331.64159 cents 2: 1 358.90944 cents 2: 1 407.92129 cents 2: 1 492.31685 cents 2: 1 509.44897 cents 3: 1 488.66659 cents 3: 1 501.64630 cents 3: 1 550.65815 cents 3: 1 649.34185 cents 3: 1 698.35370 cents 3: 1 711.33341 cents 4: 1 690.55103 cents 4: 1 707.68315 cents 4: 1 792.07871 cents 4: 1 841.09056 cents 4: 1 868.35841 cents 4: 1 900.23814 cents 5: 1 909.56759 cents 5: 1 980.98344 cents 5: 1 998.11556 cents 5: 1 1011.09527 cents 5: 1 1042.97500 cents 5: 1 1057.26314 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 : 142.7 331.6 550.7 841.1 1043.0 1200.0 142.7 : 188.9 407.9 698.4 900.2 1057.3 1200.0 331.6 : 219.0 509.4 711.3 868.4 1011.1 1200.0 550.7 : 290.4 492.3 649.3 792.1 981.0 1200.0 841.1 : 201.9 358.9 501.6 690.6 909.6 1200.0 1043.0: 157.0 299.8 488.7 707.7 998.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 142.7369 .. 290.4324 cents 147.69555 cents 142.73686 cents 2: 299.7619 .. 509.4490 cents 209.68711 cents 9.32945 cents 3: 488.6666 .. 711.3334 cents 222.66683 cents -20.78238 cents 4: 690.5510 .. 900.2381 cents 209.68711 cents -20.78238 cents 5: 909.5676 .. 1057.2631 cents 147.69555 cents 9.32945 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 142.73686 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 290.43241 cents Average / Smallest step : 1.401180 Largest / Average step : 1.452162 Largest / Smallest step : 2.034740 Median interval of one step : 195.39459 cents, amount: 0 Least squares average step : 200.40914 cents, oct.: 1202.45484 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : ACEFDB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.65027 cents Scale diversity : 1.551719 Lumma stability : 0.253444 Lumma impropriety factor : 0.034637 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 : 3.65027 cents Number of recognisable fifths : 4, average 701.9803 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 48.1696 c. M:-68.3584 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 1 1 2 1 1 P M ME SD: 21.3584 c. M: 36.3724 c. 15: 2 2 3 4 2 2 N SD: 18.4554 c. M:-38.9094 c. 16: 2 2 3 4 3 2 N SD: 18.3509 c. M: 31.6416 c. 17: 2 3 3 4 3 2 P SD: 12.5183 c. M:-21.2996 c. 24: 3 4 4 6 4 3 P SD: 9.3001 c. M:-18.3584 c. 28: 3 5 5 7 4 4 N SD: 11.7873 c. M:-16.0523 c. 29: 3 5 5 7 5 4 P SD: 11.2750 c. M: 18.5989 c. 30: 4 4 6 7 5 4 N SD: 9.4061 c. M:-17.2631 c. 33: 4 5 6 8 6 4 N SD: 5.9128 c. M:-11.5705 c. 37: 4 6 7 9 6 5 N SD: 6.5094 c. M: 13.0071 c. 39: 5 6 7 9 7 5 P SD: 7.0324 c. M:-11.1093 c. 40: 5 6 7 10 7 5 N SD: 6.0496 c. M: 10.6582 c. 43: 5 7 8 10 7 6 P SD: 5.7780 c. M: 10.4169 c. 44: 5 7 8 11 7 6 N SD: 4.9923 c. M: 6.6114 c. 50: 6 8 9 12 8 7 P SD: 4.8995 c. M: 10.9750 c. 54: 6 9 10 13 9 7 N SD: 4.6311 c. M: 9.4035 c. 59: 7 9 11 14 10 8 N SD: 4.5667 c. M: 7.1923 c. 61: 7 10 11 15 10 8 N SD: 3.0652 c. M: 5.0319 c. 76: 9 12 14 18 13 10 N SD: 1.9623 c. M: 4.2485 c. 83: 10 13 15 20 14 11 N SD: 1.6456 c. M: 2.5363 c. 120: 14 19 22 29 20 16 N SD: 1.8555 c. M: 2.9750 c. 124: 15 19 23 30 21 16 N SD: 1.7838 c. M: 2.6093 c. 137: 16 22 25 33 23 18 N SD: 1.2898 c. M: 2.5909 c. 144: 17 23 26 35 24 19 N SD: 1.0396 c. M:-1.6917 c. 177: 21 28 32 43 30 23 N SD: 0.8246 c. M: 1.5056 c. 220: 26 35 40 53 37 29 N SD: 0.8769 c. M: 1.1568 c. 235: 28 37 43 57 39 31 N SD: 0.8740 c. M:-1.4626 c. 253: 30 40 46 61 43 33 N SD: 0.7362 c. M: 1.5649 c. 261: 31 41 48 63 44 34 N SD: 0.5953 c. M:-1.0660 c. 268: 32 42 49 65 45 35 N SD: 0.4045 c. M:-0.7005 c. 344: 41 54 63 83 58 45 N SD: 0.3039 c. M:-0.5046 c. 488: 58 77 89 118 82 64 N SD: 0.2162 c. M: 0.3521 c. 749: 89 118 137 181 126 98 N SD: 0.2041 c. M:-0.4767 c. 756: 90 119 138 183 127 99 N SD: 0.1223 c. M:-0.1793 c. 933: 111 147 170 226 157 122 N SD: 0.1192 c. M:-0.1912 c. 1194: 142 188 218 289 201 156 N SD: 0.1165 c. M:-0.2411 c. 1277: 152 201 233 309 215 167 N SD: 0.0674 c. M:-0.0979 c. 1665: 198 262 304 403 280 218 N SD: 0.0614 c. M: 0.1101 c. 2033: 242 320 371 492 342 266 N SD: 0.0616 c. M:-0.1062 c. 2186: 260 344 399 529 368 286 N SD: 0.0595 c. M: 0.1025 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 69.5678 cents 3 x x 4:5 x 6 S SD: 22.7065 cents 4 x 5 x x 7:8 SD: 30.7085 cents 5 x 6:7:8:9:10 S SD: 10.3262 cents 6 x 7:8:10:11:12 S SD: 18.8428 cents 7:8 x 10:11:13:14 SD: 25.7265 cents 8:9:10:11:13:15:16 SD: 15.6200 cents 9:10:11:12:15:16:18 S SD: 15.5103 cents 10:11:12:14:16:18:20 S SD: 9.3713 cents 11:12:13:15:18:20:22 SD: 7.8999 cents 13:14:16:18:21:24:26 S SD: 6.6726 cents 19:21:23:26:31:35:38 SD: 5.8864 cents 22:24:27:30:36:40:44 S SD: 5.1933 cents 23:25:28:32:37:42:46 SD: 4.8614 cents 24:26:29:33:39:44:48 SD: 1.4439 cents 56:61:68:77:91:102:112 SD: 1.4253 cents 70:76:85:96:114:128:140 SD: 1.1676 cents 80:87:97:110:130:146:160 SD: 0.5991 cents 104:113:126:143:169:190:208 SD: 0.2404 cents 232:252:281:319:377:424:464 SD: 0.2264 cents 336:365:407:462:546:614:672 SD: 0.2190 cents 350:380:424:481:569:639:700 SD: 0.1726 cents 374:406:453:514:608:683:748 SD: 0.1256 cents 454:493:550:624:738:829:908 SD: 0.1198 cents 478:519:579:657:777:873:956 SD: 0.0677 cents 582:632:705:800:946:1063:1164 SD: 0.0580 cents