Scala analysis: CD11_07_Iraq
Suite - Ensemble de Muhammad Al-Qubbbânjî (ibrahimi, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 165.836 cents 165.835548 2: 301.616 cents 301.615899 3: 492.294 cents 492.294324 4: 728.421 cents 728.420935 5: 991.620 cents 991.620290 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 208.3797 cents 208.3797 1: 165.8355 cents 165.8355 2: 135.7804 cents 135.7804 3: 190.6784 cents 190.6784 4: 236.1266 cents 236.1266 5: 263.1994 cents 263.1994 6: 208.3797 cents 208.3797
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 135.78035 cents 1: 1 165.83555 cents 1: 1 190.67843 cents 1: 1 208.37971 cents 1: 1 236.12661 cents 1: 1 263.19935 cents 2: 1 301.61590 cents 2: 1 326.45878 cents 2: 1 374.21526 cents 2: 1 426.80504 cents 2: 1 471.57907 cents 2: 1 499.32597 cents 3: 1 492.29432 cents 3: 1 509.99561 cents 3: 1 562.58539 cents 3: 1 637.41461 cents 3: 1 690.00439 cents 3: 1 707.70568 cents 4: 1 700.67403 cents 4: 1 728.42094 cents 4: 1 773.19496 cents 4: 1 825.78474 cents 4: 1 873.54122 cents 4: 1 898.38410 cents 5: 1 936.80065 cents 5: 1 963.87339 cents 5: 1 991.62029 cents 5: 1 1009.32157 cents 5: 1 1034.16445 cents 5: 1 1064.21965 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 : 165.8 301.6 492.3 728.4 991.6 1200.0 165.8 : 135.8 326.5 562.6 825.8 1034.2 1200.0 301.6 : 190.7 426.8 690.0 898.4 1064.2 1200.0 492.3 : 236.1 499.3 707.7 873.5 1009.3 1200.0 728.4 : 263.2 471.6 637.4 773.2 963.9 1200.0 991.6 : 208.4 374.2 510.0 700.7 936.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 135.7804 .. 263.1994 cents 127.41900 cents 135.78035 cents 2: 301.6159 .. 499.3260 cents 197.71007 cents 38.41654 cents 3: 492.2943 .. 707.7057 cents 215.41135 cents -7.03164 cents 4: 700.6740 .. 898.3841 cents 197.71007 cents -7.03164 cents 5: 936.8006 .. 1064.2196 cents 127.41900 cents 38.41654 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 135.78035 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 263.19935 cents Average / Smallest step : 1.472967 Largest / Average step : 1.315997 Largest / Smallest step : 1.938420 Median interval of one step : 199.52907 cents, amount: 0 Least squares average step : 190.30479 cents, oct.: 1141.82871 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BACEFD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 7.03164 cents Scale diversity : 1.655531 Lumma stability : 0.290328 Lumma impropriety factor : 0.011719 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 : 7.03164 cents Number of recognisable fifths : 3, average 699.4614 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 197.7101 cents: 3 -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 67.8736 c. M:-107.7057 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 1 1 1 2 1 P M ME SD: 30.0139 c. M: 42.7066 c. 10: 1 1 2 2 2 2 P D3 S SD: 34.4464 c. M: 61.6159 c. 12: 2 1 2 2 3 2 P G D3 SD: 18.7402 c. M:-34.1645 c. Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island) 13: 2 1 2 3 3 2 N SD: 20.7119 c. M: 30.7559 c. 15: 2 2 2 3 3 3 P SD: 16.2989 c. M: 31.6203 c. 17: 2 2 3 3 4 3 P SD: 15.8214 c. M: 24.6591 c. 20: 3 2 3 4 5 3 N SD: 14.3220 c. M:-28.3797 c. 21: 3 2 4 4 4 4 SP SD: 15.1870 c. M:-21.9914 c. 22: 3 2 4 4 5 4 P SD: 14.7820 c. M: 28.8886 c. 23: 3 3 3 5 5 4 N SD: 11.0913 c. M: 22.7291 c. 24: 3 3 4 5 5 4 P S SD: 11.8928 c. M:-21.5791 c. 27: 4 3 4 5 6 5 P SD: 11.0726 c. M: 17.3098 c. 28: 4 3 4 6 6 5 N SD: 9.1668 c. M: 20.8658 c. 29: 4 3 5 6 6 5 P SD: 8.4918 c. M:-16.4067 c. 31: 4 4 5 6 7 5 P SD: 9.7917 c. M:-14.8313 c. 32: 4 4 5 6 7 6 P SD: 11.5907 c. M: 16.6203 c. 34: 5 4 5 7 7 6 P SD: 9.5533 c. M:-16.0312 c. 35: 5 4 5 7 8 6 N SD: 7.1744 c. M: 12.2943 c. 36: 5 4 6 7 8 6 P SD: 5.1158 c. M:-8.3797 c. 51: 7 6 8 10 11 9 P SD: 2.4236 c. M:-4.2665 c. 87: 12 10 14 17 19 15 P SD: 2.2589 c. M:-4.2574 c. 92: 13 10 15 18 20 16 P SD: 2.3077 c. M:-3.7297 c. 107: 15 12 17 21 23 19 P SD: 2.2696 c. M: 4.7044 c. 110: 15 13 17 22 24 19 N SD: 2.1949 c. M:-3.8386 c. 114: 16 13 18 22 25 20 P SD: 2.4150 c. M:-3.6473 c. 115: 16 13 18 23 25 20 N SD: 1.2816 c. M:-2.0138 c. 132: 18 15 21 26 29 23 N SD: 1.3657 c. M: 2.1992 c. 166: 23 19 26 33 36 29 N SD: 1.2371 c. M:-1.9986 c. 168: 23 19 27 33 37 29 N SD: 1.0710 c. M: 1.6159 c. 183: 25 21 29 36 40 32 N SD: 1.0232 c. M: 1.9011 c. 195: 27 22 31 38 43 34 N SD: 0.9976 c. M: 2.2671 c. 219: 30 25 35 43 48 38 N SD: 0.7127 c. M: 1.4520 c. 231: 32 26 37 45 51 40 N SD: 0.7519 c. M:-1.2122 c. 247: 34 28 39 49 54 43 N SD: 0.7692 c. M: 1.6061 c. 254: 35 29 40 50 56 44 N SD: 0.6709 c. M: 0.9557 c. 275: 38 31 44 54 60 48 N SD: 0.5999 c. M: 1.0748 c. 283: 39 32 45 56 62 49 N SD: 0.5617 c. M:-0.9077 c. 310: 43 35 49 61 68 54 N SD: 0.5527 c. M: 0.6814 c. 334: 46 38 53 66 73 58 N SD: 0.4484 c. M:-0.9204 c. 346: 48 39 55 68 76 60 N SD: 0.3028 c. M:-0.6384 c. 478: 66 54 76 94 105 83 N SD: 0.2453 c. M: 0.3875 c. 529: 73 60 84 104 116 92 N SD: 0.1965 c. M: 0.3159 c. 680: 94 77 108 134 149 118 N SD: 0.1874 c. M:-0.4026 c. 812: 112 92 129 160 178 141 N SD: 0.1703 c. M: 0.3183 c. 824: 114 93 131 162 181 143 N SD: 0.1580 c. M: 0.2656 c. 875: 121 99 139 172 192 152 N SD: 0.1053 c. M: 0.1924 c. 1043: 144 118 166 205 229 181 N SD: 0.1361 c. M: 0.1777 c. 1094: 151 124 174 215 240 190 N SD: 0.1259 c. M:-0.2102 c. 1158: 160 131 184 228 254 201 N SD: 0.0621 c. M:-0.0896 c. 1555: 215 176 247 306 341 270 N SD: 0.0693 c. M:-0.1204 c. 1687: 233 191 268 332 370 293 N SD: 0.0508 c. M: 0.0976 c. 2033: 281 230 323 400 446 353 N SD: 0.0222 c. M: 0.0392 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 13.2330 cents 3 x x 4 x 5:6 S SD: 35.8052 cents 4 x 5 x 6:7:8 S SD: 22.9044 cents 5 x 6:7:8:9:10 S SD: 25.5193 cents 6 x 7:8:9:11:12 SD: 14.5258 cents 7:8 x 9:11:12:14 SD: 23.5687 cents 8:9:10:11:12:14:16 S SD: 19.2406 cents 9:10:11:12:14:16:18 S SD: 10.2148 cents 10:11:12:13:15:18:20 SD: 9.1632 cents 17:19:20:23:26:30:34 SD: 7.8300 cents 19:21:23:25:29:34:38 SD: 6.3759 cents 21:23:25:28:32:37:42 SD: 2.5034 cents 31:34:37:41:47:55:62 SD: 2.2944 cents 48:53:57:64:73:85:96 SD: 1.6207 cents 58:64:69:77:88:103:116 SD: 1.4564 cents 69:76:82:92:105:122:138 SD: 1.3942 cents 79:87:94:105:120:140:158 SD: 0.8309 cents 109:120:130:145:166:193:218 SD: 0.7704 cents 128:141:152:170:195:227:256 SD: 0.7588 cents 137:151:163:182:209:243:274 SD: 0.6607 cents 149:164:177:198:227:264:298 SD: 0.6293 cents 158:174:188:210:241:280:316 SD: 0.5045 cents 168:185:200:223:256:298:336 SD: 0.4122 cents 189:208:225:251:288:335:378 SD: 0.2609 cents 268:295:319:356:408:475:536 SD: 0.2313 cents 398:438:474:529:606:706:796 SD: 0.2175 cents 419:461:499:557:638:743:838 SD: 0.2099 cents 426:469:507:566:649:755:852 SD: 0.2072 cents 447:492:532:594:681:793:894 SD: 0.1664 cents 468:515:557:622:713:830:936 SD: 0.1059 cents 547:602:651:727:833:970:1094 SD: 0.0773 cents