Scala analysis: CD13_06_husayni_Iraq
Suite - Ensemble de Muhammad Al-Qubbbânjî (husayni, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 168.628 cents 168.627732 2: 288.312 cents 288.312158 3: 490.404 cents 490.403932 4: 693.036 cents 693.035747 5: 994.138 cents 994.138163 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 205.8618 cents 205.8618 1: 168.6277 cents 168.6277 2: 119.6844 cents 119.6844 3: 202.0918 cents 202.0918 4: 202.6318 cents 202.6318 5: 301.1024 cents 301.1024 6: 205.8618 cents 205.8618
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 119.68443 cents 1: 1 168.62773 cents 1: 1 202.09177 cents 1: 1 202.63181 cents 1: 1 205.86184 cents 1: 1 301.10242 cents 2: 1 288.31216 cents 2: 1 321.77620 cents 2: 1 374.48957 cents 2: 1 404.72359 cents 2: 1 503.73423 cents 2: 1 506.96425 cents 3: 1 490.40393 cents 3: 1 494.17399 cents 3: 1 524.40801 cents 3: 1 675.59199 cents 3: 1 705.82601 cents 3: 1 709.59607 cents 4: 1 693.03575 cents 4: 1 696.26577 cents 4: 1 795.27641 cents 4: 1 825.51043 cents 4: 1 878.22380 cents 4: 1 911.68784 cents 5: 1 898.89758 cents 5: 1 994.13816 cents 5: 1 997.36818 cents 5: 1 997.90823 cents 5: 1 1031.37227 cents 5: 1 1080.31557 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 : 168.6 288.3 490.4 693.0 994.1 1200.0 168.6 : 119.7 321.8 524.4 825.5 1031.4 1200.0 288.3 : 202.1 404.7 705.8 911.7 1080.3 1200.0 490.4 : 202.6 503.7 709.6 878.2 997.9 1200.0 693.0 : 301.1 507.0 675.6 795.3 997.4 1200.0 994.1 : 205.9 374.5 494.2 696.3 898.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 119.6844 .. 301.1024 cents 181.41799 cents 119.68443 cents 2: 288.3122 .. 506.9643 cents 218.65209 cents -12.79026 cents 3: 490.4039 .. 709.5961 cents 219.19214 cents -16.56032 cents 4: 693.0357 .. 911.6878 cents 218.65210 cents -16.56032 cents 5: 898.8976 .. 1080.3156 cents 181.41799 cents -12.79026 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 119.68443 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 301.10242 cents Average / Smallest step : 1.671061 Largest / Average step : 1.505512 Largest / Smallest step : 2.515803 Median interval of one step : 202.36179 cents, amount: 0 Least squares average step : 188.56371 cents, oct.: 1131.38226 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BACDFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 9.56024 cents Scale diversity : 1.509975 Lumma stability : 0.199474 Lumma impropriety factor : 0.048918 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 : 0.54004 cents Number of recognisable fifths : 4, average 701.1809 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 1 2 1 N D3 SD: 65.3786 c. M: 93.0357 c. 7: 1 1 1 1 2 1 P M ME SD: 28.2624 c. M:-54.5450 c. 10: 1 1 2 2 2 2 P D3 S SD: 33.4152 c. M: 48.6277 c. 12: 2 1 2 2 3 2 P G D3 SD: 14.6956 c. M:-31.3723 c. Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island) 17: 2 2 3 3 4 3 P SD: 12.9277 c. M: 27.4513 c. 20: 3 2 3 4 5 3 N SD: 17.1760 c. M:-26.9643 c. 21: 3 2 4 3 5 4 P SD: 13.8700 c. M:-23.8818 c. 22: 3 2 4 4 5 4 P SD: 10.6271 c. M:-16.0552 c. 24: 3 3 4 4 6 4 P SD: 10.4765 c. M: 18.6277 c. 28: 4 3 4 5 7 5 N SD: 10.2395 c. M: 18.9754 c. 29: 4 3 5 5 7 5 P SD: 5.1440 c. M:-10.4125 c. 41: 6 4 7 7 10 7 P SD: 5.8944 c. M:-9.4033 c. 42: 6 4 7 7 11 7 N SD: 4.5562 c. M: 7.3215 c. 57: 8 6 9 10 14 10 N SD: 4.1699 c. M:-6.4247 c. 59: 8 6 10 10 15 10 N SD: 3.1952 c. M: 5.9159 c. 64: 9 6 11 11 16 11 N SD: 3.1354 c. M: 7.0622 c. 66: 9 7 11 11 17 11 N SD: 3.4350 c. M:-5.8618 c. 71: 10 7 12 12 18 12 N SD: 1.3212 c. M:-3.0449 c. 100: 14 10 17 17 25 17 N SD: 1.5965 c. M:-2.9643 c. 128: 18 13 21 22 32 22 N SD: 1.5523 c. M: 2.9039 c. 130: 18 13 22 22 33 22 N SD: 1.8457 c. M:-2.7849 c. 135: 19 13 23 23 34 23 N SD: 1.7991 c. M: 3.8677 c. 147: 21 14 25 25 37 25 N SD: 1.7721 c. M:-2.8008 c. 149: 21 15 25 25 37 26 N SD: 1.6483 c. M: 3.5341 c. 151: 21 15 26 25 38 26 N SD: 1.6624 c. M:-2.3113 c. 157: 22 16 26 27 39 27 N SD: 1.4624 c. M:-2.5057 c. 163: 23 16 28 27 41 28 N SD: 1.3615 c. M:-2.8476 c. 171: 24 17 29 29 43 29 N SD: 1.2586 c. M:-2.3531 c. 179: 25 18 30 30 45 31 N SD: 1.4350 c. M: 2.5330 c. 187: 26 19 31 32 47 32 N SD: 1.3516 c. M: 2.7034 c. 191: 27 19 32 32 48 33 N SD: 1.1195 c. M: 1.9363 c. 199: 28 20 33 34 50 34 N SD: 1.0058 c. M: 1.9617 c. 208: 29 21 35 35 52 36 N SD: 0.9700 c. M: 1.8305 c. 220: 31 22 37 37 55 38 N SD: 0.7259 c. M: 1.4109 c. 249: 35 25 42 42 62 43 N SD: 0.8962 c. M: 1.3671 c. 250: 35 25 42 42 63 43 N SD: 0.8942 c. M: 1.8357 c. 255: 36 25 43 43 64 44 N SD: 1.0180 c. M: 1.2710 c. 257: 36 26 43 43 65 44 N SD: 0.9843 c. M: 1.9852 c. 262: 37 26 44 44 66 45 N SD: 0.7046 c. M: 1.4327 c. 279: 39 28 47 47 70 48 N SD: 0.4959 c. M: 0.8858 c. 291: 41 29 49 49 73 50 N SD: 0.3130 c. M:-0.4444 c. 350: 49 35 59 59 88 60 N SD: 0.3519 c. M: 0.6277 c. 362: 51 36 61 61 91 62 N SD: 0.2574 c. M:-0.4330 c. 641: 90 64 108 108 161 110 N SD: 0.1665 c. M: 0.3680 c. 670: 94 67 113 113 168 115 N SD: 0.1886 c. M:-0.3423 c. 712: 100 71 120 120 179 122 N SD: 0.1809 c. M: 0.3391 c. 741: 104 74 125 125 186 127 N SD: 0.1686 c. M:-0.2843 c. 932: 131 93 157 157 234 160 N SD: 0.1669 c. M: 0.3319 c. 961: 135 96 162 162 241 165 N SD: 0.1653 c. M:-0.3349 c. 1003: 141 100 169 169 252 172 N SD: 0.1445 c. M: 0.3139 c. 1032: 145 103 174 174 259 177 N SD: 0.1244 c. M:-0.2937 c. 1103: 155 110 186 186 277 189 N SD: 0.1442 c. M:-0.2579 c. 1153: 162 115 194 195 289 198 N SD: 0.1286 c. M: 0.2093 c. 1224: 172 122 206 207 307 210 N SD: 0.0999 c. M: 0.2079 c. 1382: 194 138 233 233 347 237 N SD: 0.1222 c. M:-0.1894 c. 1387: 195 138 234 234 348 238 N SD: 0.1128 c. M: 0.2083 c. 1444: 203 144 243 244 362 248 N SD: 0.1104 c. M: 0.2323 c. 1503: 211 150 253 254 377 258 N SD: 0.1193 c. M: 0.1844 c. 1510: 212 151 254 255 379 259 N SD: 0.0995 c. M:-0.1647 c. 1515: 213 151 255 256 380 260 N SD: 0.0659 c. M: 0.1069 c. 1865: 262 186 314 315 468 320 N SD: 0.0608 c. M: 0.1090 c. 1894: 266 189 319 320 475 325 N SD: 0.0621 c. M:-0.1005 c. 1965: 276 196 331 332 493 337 N SD: 0.0628 c. M:-0.0940 c. 2156: 303 215 363 364 541 370 N SD: 0.0516 c. M: 0.0858 c. 2185: 307 218 368 369 548 375 N SD: 0.0454 c. M: 0.0878 c. 2227: 313 222 375 376 559 382 N SD: 0.0469 c. M: 0.0856 c. 2256: 317 225 380 381 566 387 N SD: 0.0236 c. M:-0.0494 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 4.4596 cents 3 x x 4 x 5:6 S SD: 36.6817 cents 4 x 5 x 6:7:8 S SD: 25.4025 cents 5 x 6:7 x 9:10 SD: 24.7249 cents 6 x 7:8:9:11:12 SD: 12.0788 cents 7 x 8:9:10:12:14 S SD: 25.1035 cents 8:9 x 11:12:14:16 SD: 15.0673 cents 9:10:11:12:13:16:18 SD: 13.8717 cents 10:11:12:13:15:18:20 SD: 8.6596 cents 12:13:14:16:18:21:24 S SD: 7.7131 cents 18:20:21:24:27:32:36 SD: 4.6882 cents 22:24:26:29:33:39:44 SD: 3.9453 cents 27:30:32:36:40:48:54 S SD: 3.5131 cents 28:31:33:37:42:50:56 SD: 2.9228 cents 39:43:46:52:58:69:78 SD: 1.9794 cents 49:54:58:65:73:87:98 SD: 0.8022 cents 67:74:79:89:100:119:134 SD: 0.7938 cents 89:98:105:118:133:158:178 SD: 0.7151 cents 116:128:137:154:173:206:232 SD: 0.3512 cents 205:226:242:272:306:364:410 SD: 0.2394 cents 254:280:300:337:379:451:508 SD: 0.1590 cents