Scala analysis: CD11_10_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: 163.837 cents 163.836913 2: 301.560 cents 301.559514 3: 494.229 cents 494.228957 4: 716.856 cents 716.855755 5: 991.706 cents 991.706368 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 208.2936 cents 208.2936 1: 163.8369 cents 163.8369 2: 137.7226 cents 137.7226 3: 192.6694 cents 192.6694 4: 222.6268 cents 222.6268 5: 274.8506 cents 274.8506 6: 208.2936 cents 208.2936
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 137.72260 cents 1: 1 163.83691 cents 1: 1 192.66944 cents 1: 1 208.29363 cents 1: 1 222.62680 cents 1: 1 274.85061 cents 2: 1 301.55951 cents 2: 1 330.39204 cents 2: 1 372.13054 cents 2: 1 415.29624 cents 2: 1 483.14425 cents 2: 1 497.47741 cents 3: 1 494.22896 cents 3: 1 509.85315 cents 3: 1 553.01884 cents 3: 1 646.98116 cents 3: 1 690.14685 cents 3: 1 705.77104 cents 4: 1 702.52259 cents 4: 1 716.85575 cents 4: 1 784.70376 cents 4: 1 827.86945 cents 4: 1 869.60796 cents 4: 1 898.44049 cents 5: 1 925.14939 cents 5: 1 977.37320 cents 5: 1 991.70637 cents 5: 1 1007.33056 cents 5: 1 1036.16309 cents 5: 1 1062.27740 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 : 163.8 301.6 494.2 716.9 991.7 1200.0 163.8 : 137.7 330.4 553.0 827.9 1036.2 1200.0 301.6 : 192.7 415.3 690.1 898.4 1062.3 1200.0 494.2 : 222.6 497.5 705.8 869.6 1007.3 1200.0 716.9 : 274.9 483.1 647.0 784.7 977.4 1200.0 991.7 : 208.3 372.1 509.9 702.5 925.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 137.7226 .. 274.8506 cents 137.12801 cents 137.72260 cents 2: 301.5595 .. 497.4774 cents 195.91790 cents 26.70890 cents 3: 494.2290 .. 705.7710 cents 211.54209 cents -3.24845 cents 4: 702.5226 .. 898.4405 cents 195.91790 cents -3.24845 cents 5: 925.1494 .. 1062.2774 cents 137.12801 cents 26.70890 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 137.72260 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 274.85061 cents Average / Smallest step : 1.452194 Largest / Average step : 1.374253 Largest / Smallest step : 1.995683 Median interval of one step : 200.48154 cents, amount: 0 Least squares average step : 189.84173 cents, oct.: 1139.05040 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 3.24845 cents Scale diversity : 1.613491 Lumma stability : 0.274053 Lumma impropriety factor : 0.005414 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 : 3.24845 cents Number of recognisable fifths : 4, average 703.8241 cents Number of appreciable fifths : 3, average 699.4802 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 195.9179 cents: 3 -- Rational properties --
FIT/MODE
6: 0 1 1 1 1 2 N T3 SD: 126.7823 c. M: 191.7064 c. 7: 1 1 1 1 2 1 P M ME SD: 27.3685 c. M:-41.2976 c. 12: 2 1 2 2 3 2 P G D3 SD: 16.8147 c. M:-36.1631 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: 22.8577 c. M: 32.6905 c. 15: 2 2 2 3 3 3 P SD: 16.1886 c. M: 31.7064 c. 17: 2 2 3 3 4 3 P SD: 13.0055 c. M: 22.6604 c. 22: 3 2 4 4 5 4 P SD: 12.9127 c. M: 28.8322 c. 23: 3 3 3 5 5 4 N SD: 12.7687 c. M: 24.6637 c. 24: 3 3 4 4 6 4 P SD: 9.8328 c. M: 16.8558 c. 27: 4 3 4 5 6 5 P SD: 9.4965 c. M:-13.9409 c. 28: 4 3 5 5 6 5 SP SD: 10.2916 c. M:-20.0568 c. 29: 4 3 5 5 7 5 P SD: 7.4347 c. M: 13.4075 c. 35: 5 4 5 7 8 6 N SD: 7.3689 c. M: 14.2290 c. 36: 5 4 6 7 8 6 P SD: 8.0004 c. M:-16.4776 c. 39: 5 5 6 7 9 7 P SD: 6.7746 c. M: 9.9908 c. 43: 6 5 7 8 10 7 P SD: 7.6551 c. M:-12.9448 c. 44: 6 5 7 8 10 8 P SD: 5.3473 c. M: 9.8882 c. 51: 7 6 8 9 12 9 P SD: 5.0319 c. M: 10.9734 c. 52: 7 6 8 10 12 9 N SD: 4.1365 c. M: 9.6136 c. 53: 7 6 9 10 12 9 P SD: 5.4021 c. M:-7.6725 c. 57: 8 6 9 11 13 10 N SD: 5.3860 c. M: 10.0184 c. 58: 8 7 9 11 13 10 P SD: 4.8371 c. M:-8.7853 c. 59: 8 7 9 11 14 10 N SD: 4.0780 c. M: 6.0934 c. 64: 9 7 10 12 15 11 N SD: 3.9791 c. M: 6.7290 c. 68: 9 8 11 13 15 12 P SD: 3.7453 c. M:-6.6737 c. 75: 10 9 12 14 17 13 P SD: 2.3730 c. M: 3.8369 c. 80: 11 9 13 15 18 14 P SD: 1.6920 c. M:-3.1442 c. 87: 12 10 14 16 20 15 P SD: 1.5213 c. M:-2.3228 c. 104: 14 12 17 19 24 18 P SD: 1.5246 c. M: 2.2985 c. 131: 18 15 21 24 30 23 P SD: 1.4763 c. M: 2.3934 c. 139: 19 16 22 26 32 24 N SD: 1.0239 c. M: 2.1426 c. 167: 23 19 27 31 38 29 P SD: 1.1199 c. M:-1.7071 c. 184: 25 21 30 34 42 32 P SD: 0.9605 c. M: 1.5595 c. 206: 28 24 33 38 47 36 P SD: 0.9425 c. M: 1.4151 c. 214: 29 25 34 40 49 37 N SD: 0.9229 c. M:-1.2442 c. 219: 30 25 35 41 50 38 N SD: 0.6338 c. M: 1.0783 c. 226: 31 26 36 42 52 39 N SD: 0.7572 c. M:-1.2140 c. 243: 33 28 39 45 56 42 N SD: 0.6412 c. M:-0.8862 c. 306: 42 35 49 57 70 53 N SD: 0.5412 c. M:-0.8690 c. 323: 44 37 52 60 74 56 N SD: 0.3255 c. M: 0.6307 c. 410: 56 47 66 76 94 71 N SD: 0.2780 c. M:-0.4888 c. 541: 74 62 87 100 124 94 N SD: 0.2826 c. M:-0.4106 c. 629: 86 72 101 117 144 109 N SD: 0.2665 c. M:-0.4733 c. 668: 91 77 107 124 153 116 N SD: 0.2048 c. M: 0.3639 c. 673: 92 77 108 125 154 117 N SD: 0.2251 c. M: 0.3245 c. 680: 93 78 109 126 156 118 N SD: 0.2180 c. M: 0.3852 c. 748: 102 86 120 139 171 130 N SD: 0.1776 c. M: 0.2625 c. 760: 104 87 122 141 174 132 N SD: 0.1616 c. M:-0.3736 c. 835: 114 96 134 155 191 145 N SD: 0.1619 c. M:-0.2700 c. 864: 118 99 139 160 198 150 N SD: 0.1388 c. M:-0.2155 c. 1003: 137 115 161 186 230 174 N SD: 0.1139 c. M: 0.2057 c. 1078: 147 124 173 200 247 187 N SD: 0.1084 c. M: 0.2005 c. 1083: 148 124 174 201 248 188 N SD: 0.0981 c. M: 0.1745 c. 1428: 195 164 229 265 327 248 N SD: 0.0840 c. M:-0.1212 c. 1532: 209 176 246 284 351 266 N SD: 0.0841 c. M: 0.1456 c. 1612: 220 185 259 299 369 280 N SD: 0.0754 c. M: 0.1431 c. 1751: 239 201 281 325 401 304 N SD: 0.0528 c. M: 0.1113 c. 1838: 251 211 295 341 421 319 N SD: 0.0350 c. M:-0.0727 c. 2161: 295 248 347 401 495 375 N SD: 0.0322 c. M:-0.0567 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 7.4504 cents 3 x x 4 x 5:6 S SD: 35.8052 cents 4 x 5 x 6:7:8 S SD: 22.2610 cents 5 x 6:7:8:9:10 S SD: 26.8616 cents 6 x 7:8:9:11:12 SD: 13.8046 cents 7:8 x 9:11:12:14 SD: 25.1172 cents 8:9:10:11:12:14:16 S SD: 18.8516 cents 9:10:11:12:14:16:18 S SD: 11.5354 cents 10:11:12:13:15:18:20 SD: 8.6493 cents 12:13:14:16:18:21:24 S SD: 8.5011 cents 17:19:20:23:26:30:34 SD: 8.3332 cents 18:20:21:24:27:32:36 SD: 7.0786 cents 19:21:23:25:29:34:38 SD: 7.0435 cents 20:22:24:27:30:35:40 S SD: 6.6383 cents 21:23:25:28:32:37:42 SD: 3.0364 cents 31:34:37:41:47:55:62 SD: 2.0806 cents 49:54:58:65:74:87:98 SD: 2.0555 cents 52:57:62:69:79:92:104 SD: 1.8259 cents 58:64:69:77:88:103:116 SD: 1.5618 cents 70:77:83:93:106:124:140 SD: 1.2563 cents 84:92:100:112:127:149:168 SD: 1.2542 cents 88:97:105:117:133:156:176 SD: 1.1199 cents 90:99:107:120:136:160:180 SD: 1.1023 cents 100:110:119:133:151:177:200 SD: 0.8101 cents 111:122:132:148:168:197:222 SD: 0.7389 cents 121:133:144:161:183:215:242 SD: 0.5952 cents 142:156:169:189:215:252:284 SD: 0.3780 cents 221:243:263:294:334:392:442 SD: 0.3388 cents 230:253:274:306:348:408:460 SD: 0.3323 cents 242:266:288:322:366:429:484 SD: 0.1557 cents 384:422:457:511:581:681:768 SD: 0.1180 cents