Scala analysis: CD12_17_Iraq
(Suite) Hormis les gens de passion - Ensemble de Muhammad Al-Qubbbânjî (bherzawi, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 150.829 cents 150.829193 2: 302.167 cents 302.167219 3: 491.198 cents 491.197551 4: 704.831 cents 704.830792 5: 986.326 cents 986.326058 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 213.6739 cents 213.6739 1: 150.8292 cents 150.8292 2: 151.3380 cents 151.3380 3: 189.0303 cents 189.0303 4: 213.6332 cents 213.6332 5: 281.4953 cents 281.4953 6: 213.6739 cents 213.6739
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 150.82919 cents 1: 1 151.33803 cents 1: 1 189.03033 cents 1: 1 213.63324 cents 1: 1 213.67394 cents 1: 1 281.49527 cents 2: 1 302.16722 cents 2: 1 340.36836 cents 2: 1 364.50314 cents 2: 1 402.66357 cents 2: 1 495.12851 cents 2: 1 495.16921 cents 3: 1 491.19755 cents 3: 1 515.84116 cents 3: 1 554.00160 cents 3: 1 645.99840 cents 3: 1 684.15884 cents 3: 1 708.80245 cents 4: 1 704.83079 cents 4: 1 704.87149 cents 4: 1 797.33643 cents 4: 1 835.49687 cents 4: 1 859.63164 cents 4: 1 897.83278 cents 5: 1 918.50473 cents 5: 1 986.32606 cents 5: 1 986.36676 cents 5: 1 1010.96967 cents 5: 1 1048.66197 cents 5: 1 1049.17081 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 : 150.8 302.2 491.2 704.8 986.3 1200.0 150.8 : 151.3 340.4 554.0 835.5 1049.2 1200.0 302.2 : 189.0 402.7 684.2 897.8 1048.7 1200.0 491.2 : 213.6 495.1 708.8 859.6 1011.0 1200.0 704.8 : 281.5 495.2 646.0 797.3 986.4 1200.0 986.3 : 213.7 364.5 515.8 704.9 918.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 150.8292 .. 281.4953 cents 130.66607 cents 150.82919 cents 2: 302.1672 .. 495.1692 cents 193.00199 cents 20.67195 cents 3: 491.1976 .. 708.8024 cents 217.60490 cents -3.97166 cents 4: 704.8308 .. 897.8328 cents 193.00199 cents -3.97166 cents 5: 918.5047 .. 1049.1708 cents 130.66607 cents 20.67195 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 150.82919 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 281.49527 cents Average / Smallest step : 1.326003 Largest / Average step : 1.407476 Largest / Smallest step : 1.866318 Median interval of one step : 201.33179 cents, amount: 0 Least squares average step : 188.78802 cents, oct.: 1132.72811 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : ABCDFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.93096 cents Scale diversity : 1.519947 Lumma stability : 0.285835 Lumma impropriety factor : 0.006619 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 : 0.04070 cents Number of recognisable fifths : 3, average 706.1682 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 0 1 1 1 1 2 N T3 SD: 120.5622 c. M: 186.3261 c. 7: 1 1 1 1 2 1 P M ME SD: 28.1756 c. M:-42.2454 c. 12: 2 1 2 2 3 2 P G D3 SD: 21.2535 c. M:-49.1708 c. Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island) 15: 2 2 2 3 3 3 P SD: 15.5492 c. M: 26.3261 c. 17: 2 2 3 3 4 3 P SD: 9.1201 c. M: 19.8143 c. 24: 3 3 4 4 6 4 P SD: 6.9902 c. M:-13.6739 c. 32: 4 4 5 6 7 6 P SD: 5.8616 c. M: 11.3261 c. 39: 5 5 6 7 9 7 P SD: 2.9432 c. M:-5.5251 c. 56: 7 7 9 10 13 10 P SD: 1.5198 c. M:-2.3121 c. 95: 12 12 15 17 22 17 P SD: 1.3644 c. M:-2.5376 c. 119: 15 15 19 21 28 21 P SD: 1.5049 c. M:-2.9201 c. 135: 17 17 21 24 32 24 N SD: 1.4337 c. M: 2.6086 c. 151: 19 19 24 27 35 27 P SD: 1.2374 c. M:-2.4540 c. 152: 19 19 24 27 36 27 N SD: 1.4977 c. M: 2.1992 c. 158: 20 20 25 28 37 28 P SD: 1.4830 c. M:-2.4733 c. 167: 21 21 26 30 39 30 N SD: 1.3398 c. M: 2.5748 c. 174: 22 22 27 31 41 31 N SD: 1.0604 c. M: 1.5424 c. 191: 24 24 30 34 45 34 N SD: 0.7109 c. M: 1.1659 c. 230: 29 29 36 41 54 41 N SD: 0.4642 c. M: 0.7628 c. 247: 31 31 39 44 58 44 N SD: 0.4773 c. M: 0.9526 c. 286: 36 36 45 51 67 51 N SD: 0.1991 c. M: 0.3121 c. 596: 75 75 94 106 140 106 N SD: 0.1538 c. M:-0.2511 c. 635: 80 80 100 113 149 113 N SD: 0.1832 c. M:-0.3519 c. 652: 82 82 103 116 153 116 N SD: 0.1816 c. M: 0.3267 c. 691: 87 87 109 123 162 123 N SD: 0.1804 c. M:-0.2641 c. 826: 104 104 130 147 194 147 N SD: 0.1626 c. M:-0.2604 c. 882: 111 111 139 157 207 157 N SD: 0.1030 c. M:-0.1912 c. 1163: 146 147 183 207 273 207 N SD: 0.1146 c. M: 0.1843 c. 1168: 147 147 184 208 274 208 N SD: 0.1034 c. M:-0.1982 c. 1219: 153 154 192 217 286 217 N SD: 0.0930 c. M: 0.2139 c. 1449: 182 183 228 258 340 258 N SD: 0.0795 c. M:-0.1102 c. 1505: 189 190 237 268 353 268 N SD: 0.0573 c. M: 0.1315 c. 1791: 225 226 282 319 420 319 N SD: 0.0516 c. M: 0.0754 c. 2101: 264 265 331 374 493 374 N SD: 0.0339 c. M:-0.0614 c. 2140: 269 270 337 381 502 381 N SD: 0.0362 c. M:-0.0758 c. 2387: 300 301 376 425 560 425 N SD: 0.0220 c. M: 0.0371 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 1.4379 cents 3 x x 4 x 5:6 S SD: 34.0657 cents 4 x 5 x 6:7:8 S SD: 21.4988 cents 5 x 6:7:8:9:10 S SD: 29.2214 cents 6 x 7:8:9:11:12 SD: 14.5253 cents 7 x 8:9:11:12:14 SD: 26.1151 cents 8:9:10:11:12:14:16 S SD: 19.5982 cents 9:10:11:12:14:16:18 S SD: 13.7398 cents 10:11:12:13:15:18:20 SD: 8.7184 cents 12:13:14:16:18:21:24 S SD: 6.9870 cents 20:22:24:27:30:35:40 S SD: 6.4570 cents 21:23:25:28:32:37:42 SD: 4.4703 cents 22:24:26:29:33:39:44 SD: 3.1929 cents 36:39:43:48:54:64:72 SD: 3.0291 cents 42:46:50:56:63:74:84 SD: 1.9213 cents 52:57:62:69:78:92:104 SD: 1.5257 cents 64:70:76:85:96:113:128 SD: 1.2131 cents 88:96:105:117:132:156:176 SD: 1.1600 cents 89:97:106:118:134:157:178 SD: 1.0312 cents 100:109:119:133:150:177:200 SD: 0.7996 cents 121:132:144:161:182:214:242 SD: 0.6605 cents 131:143:156:174:197:232:262 SD: 0.6038 cents 143:156:170:190:215:253:286 SD: 0.5660 cents 167:182:199:222:251:295:334 SD: 0.5325 cents 173:189:206:230:260:306:346 SD: 0.5240 cents 177:193:211:235:266:313:354 SD: 0.4028 cents 189:206:225:251:284:334:378 SD: 0.3081 cents 241:263:287:320:362:426:482 SD: 0.1298 cents 430:469:512:571:646:760:860 SD: 0.1143 cents 561:612:668:745:843:992:1122 SD: 0.0952 cents