Scala analysis: CD11_18_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: 144.792 cents 144.791804 2: 331.492 cents 331.491828 3: 555.505 cents 555.504627 4: 830.431 cents 830.431357 5: 1038.690 cents 1038.689682 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 161.3103 cents 161.3103 1: 144.7918 cents 144.7918 2: 186.7000 cents 186.7000 3: 224.0128 cents 224.0128 4: 274.9267 cents 274.9267 5: 208.2583 cents 208.2583 6: 161.3103 cents 161.3103
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 144.79180 cents 1: 1 161.31032 cents 1: 1 186.70002 cents 1: 1 208.25832 cents 1: 1 224.01280 cents 1: 1 274.92673 cents 2: 1 306.10212 cents 2: 1 331.49183 cents 2: 1 369.56864 cents 2: 1 410.71282 cents 2: 1 483.18505 cents 2: 1 498.93953 cents 3: 1 492.80215 cents 3: 1 514.36045 cents 3: 1 555.50463 cents 3: 1 644.49537 cents 3: 1 685.63955 cents 3: 1 707.19785 cents 4: 1 701.06047 cents 4: 1 716.81495 cents 4: 1 789.28718 cents 4: 1 830.43136 cents 4: 1 868.50817 cents 4: 1 893.89788 cents 5: 1 925.07327 cents 5: 1 975.98720 cents 5: 1 991.74168 cents 5: 1 1013.29998 cents 5: 1 1038.68968 cents 5: 1 1055.20820 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 : 144.8 331.5 555.5 830.4 1038.7 1200.0 144.8 : 186.7 410.7 685.6 893.9 1055.2 1200.0 331.5 : 224.0 498.9 707.2 868.5 1013.3 1200.0 555.5 : 274.9 483.2 644.5 789.3 976.0 1200.0 830.4 : 208.3 369.6 514.4 701.1 925.1 1200.0 1038.7: 161.3 306.1 492.8 716.8 991.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 144.7918 .. 274.9267 cents 130.13493 cents 144.79180 cents 2: 306.1021 .. 498.9395 cents 192.83741 cents 31.17539 cents 3: 492.8021 .. 707.1979 cents 214.39571 cents -6.13738 cents 4: 701.0605 .. 893.8979 cents 192.83741 cents -6.13738 cents 5: 925.0733 .. 1055.2082 cents 130.13493 cents 31.17539 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 144.79180 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 274.92673 cents Average / Smallest step : 1.381294 Largest / Average step : 1.374634 Largest / Smallest step : 1.898773 Median interval of one step : 197.47917 cents, amount: 0 Least squares average step : 199.88421 cents, oct.: 1199.30526 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 6.13738 cents Scale diversity : 1.596389 Lumma stability : 0.293279 Lumma impropriety factor : 0.010229 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 : 6.13738 cents Number of recognisable fifths : 3, average 708.3578 cents Number of appreciable fifths : 2, average 704.1292 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 44.9891 c. M:-68.5082 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 1 1 2 1 1 P M ME SD: 23.6417 c. M: 41.2189 c. 13: 2 2 2 3 2 2 SP M ME SD: 24.3452 c. M:-39.8236 c. Glacial-6 15: 2 2 3 3 3 2 P SD: 14.7837 c. M: 30.4314 c. 17: 2 3 3 4 3 2 P SD: 14.3739 c. M:-21.4493 c. 22: 3 3 4 5 4 3 P SD: 10.2419 c. M:-18.8446 c. 23: 3 3 5 5 4 3 N SD: 11.9629 c. M: 18.4483 c. 24: 3 4 4 6 4 3 P SD: 12.3209 c. M:-19.5686 c. 26: 3 4 5 6 4 4 P SD: 10.4632 c. M: 23.3051 c. 28: 3 5 5 6 5 4 SP SD: 11.2399 c. M: 16.2204 c. 30: 4 4 6 7 5 4 N SD: 8.9147 c. M:-15.2082 c. 32: 4 5 6 7 6 4 P SD: 6.7030 c. M:-11.3103 c. 39: 5 6 7 9 7 5 P SD: 5.6145 c. M:-9.0543 c. 43: 5 7 8 10 7 6 P SD: 4.6479 c. M:-6.7779 c. 52: 6 8 10 12 9 7 N SD: 4.3551 c. M: 8.4149 c. 58: 7 9 11 13 10 8 P SD: 2.4397 c. M: 4.2069 c. 65: 8 10 12 15 11 9 P SD: 2.4291 c. M: 4.8435 c. 75: 9 12 14 17 13 10 P SD: 2.7488 c. M:-4.5082 c. 82: 10 13 15 19 14 11 P SD: 2.6649 c. M:-5.0935 c. 84: 10 13 16 19 15 11 N SD: 2.4421 c. M:-4.1675 c. 91: 11 14 17 21 16 12 N SD: 1.6160 c. M:-3.0686 c. 127: 15 20 24 29 22 17 N SD: 1.6059 c. M: 3.0595 c. 134: 16 21 25 31 23 18 N SD: 1.1669 c. M:-2.4045 c. 142: 17 22 27 32 25 19 N SD: 1.6147 c. M: 2.2623 c. 149: 18 23 28 34 26 20 N SD: 0.6588 c. M: 1.2905 c. 192: 23 30 36 44 33 26 N SD: 0.7942 c. M: 1.1897 c. 214: 26 33 40 49 37 29 N SD: 0.7685 c. M: 1.3065 c. 224: 27 35 42 51 39 30 N SD: 0.7627 c. M:-1.6382 c. 231: 28 36 43 53 40 31 N SD: 0.5950 c. M:-0.9757 c. 283: 34 44 53 65 49 38 N SD: 0.4870 c. M: 0.7498 c. 341: 41 53 64 78 59 46 N SD: 0.4714 c. M: 0.7000 c. 348: 42 54 65 80 60 47 N SD: 0.4583 c. M: 0.7586 c. 380: 46 59 71 87 66 51 N SD: 0.2537 c. M:-0.4714 c. 529: 64 82 99 121 92 71 N SD: 0.2604 c. M:-0.3878 c. 572: 69 89 107 131 99 77 N SD: 0.2454 c. M:-0.4394 c. 663: 80 103 124 152 115 89 N SD: 0.2083 c. M:-0.3379 c. 721: 87 112 135 165 125 97 N SD: 0.2072 c. M:-0.3900 c. 789: 95 123 147 181 137 106 N SD: 0.2019 c. M: 0.3715 c. 847: 102 132 158 194 147 114 N SD: 0.1738 c. M: 0.2818 c. 938: 113 146 175 215 163 126 N SD: 0.1782 c. M: 0.2807 c. 996: 120 155 186 228 173 134 N SD: 0.1804 c. M: 0.3109 c. 1013: 122 158 189 232 176 136 N SD: 0.1631 c. M: 0.2706 c. 1035: 125 161 193 237 180 139 N SD: 0.1602 c. M: 0.2864 c. 1043: 126 162 195 239 181 140 N SD: 0.1863 c. M:-0.2494 c. 1071: 129 167 200 245 186 144 N SD: 0.1733 c. M: 0.2540 c. 1078: 130 168 201 247 187 145 N SD: 0.1094 c. M:-0.2336 c. 1162: 140 181 217 266 202 156 N SD: 0.1393 c. M: 0.2135 c. 1169: 141 182 218 268 203 157 N SD: 0.0960 c. M: 0.1582 c. 1227: 148 191 229 281 213 165 N SD: 0.0593 c. M: 0.1135 c. 1607: 194 250 300 368 279 216 N SD: 0.0539 c. M:-0.0744 c. 1890: 228 294 353 433 328 254 N SD: 0.0431 c. M: 0.0633 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 64.2382 cents 3 x x 4:5 x 6 S SD: 26.2674 cents 4 x 5 x 6:7:8 S SD: 39.0453 cents 5 x 6:7:8:9:10 S SD: 8.2607 cents 6 x 7:8:10:11:12 S SD: 20.4935 cents 7:8 x 10:11:13:14 SD: 24.2419 cents 8:9:10:11:13:15:16 SD: 15.8797 cents 10:11:12:14:16:18:20 S SD: 7.6640 cents 13:14:16:18:21:24:26 S SD: 6.7372 cents 19:21:23:26:31:35:38 SD: 6.7043 cents 21:23:25:29:34:38:42 SD: 5.7927 cents 23:25:28:32:37:42:46 SD: 3.3918 cents 24:26:29:33:39:44:48 SD: 2.8237 cents 34:37:41:47:55:62:68 SD: 1.5770 cents 66:72:80:91:107:120:132 SD: 1.5565 cents 67:73:81:92:108:122:134 SD: 1.5043 cents 71:77:86:98:115:129:142 SD: 1.3847 cents 79:86:96:109:128:144:158 SD: 1.3831 cents 80:87:97:110:129:146:160 SD: 1.0613 cents 90:98:109:124:145:164:180 SD: 0.9153 cents 114:124:138:157:184:208:228 SD: 0.5635 cents 148:161:179:204:239:270:296 SD: 0.5570 cents 151:164:183:208:244:275:302 SD: 0.4359 cents 161:175:195:222:260:293:322 SD: 0.3918 cents 185:201:224:255:299:337:370 SD: 0.2475 cents 275:299:333:379:444:501:550 SD: 0.1892 cents 299:325:362:412:483:545:598 SD: 0.1766 cents 460:500:557:634:743:838:920 SD: 0.1156 cents