Scala analysis: CD12_16_Iraq
(Suite) Toi dont le front est plus beau que la pleine lune - 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: 158.980 cents 158.979618 2: 293.459 cents 293.459448 3: 487.599 cents 487.598675 4: 694.931 cents 694.931429 5: 989.138 cents 989.138095 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 210.8619 cents 210.8619 1: 158.9796 cents 158.9796 2: 134.4798 cents 134.4798 3: 194.1392 cents 194.1392 4: 207.3328 cents 207.3328 5: 294.2067 cents 294.2067 6: 210.8619 cents 210.8619
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 134.47983 cents 1: 1 158.97962 cents 1: 1 194.13923 cents 1: 1 207.33275 cents 1: 1 210.86191 cents 1: 1 294.20667 cents 2: 1 293.45945 cents 2: 1 328.61906 cents 2: 1 369.84152 cents 2: 1 401.47198 cents 2: 1 501.53942 cents 2: 1 505.06857 cents 3: 1 487.59867 cents 3: 1 504.32135 cents 3: 1 535.95181 cents 3: 1 664.04819 cents 3: 1 695.67865 cents 3: 1 712.40133 cents 4: 1 694.93143 cents 4: 1 698.46058 cents 4: 1 798.52802 cents 4: 1 830.15848 cents 4: 1 871.38094 cents 4: 1 906.54055 cents 5: 1 905.79333 cents 5: 1 989.13810 cents 5: 1 992.66725 cents 5: 1 1005.86077 cents 5: 1 1041.02038 cents 5: 1 1065.52017 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 : 159.0 293.5 487.6 694.9 989.1 1200.0 159.0 : 134.5 328.6 536.0 830.2 1041.0 1200.0 293.5 : 194.1 401.5 695.7 906.5 1065.5 1200.0 487.6 : 207.3 501.5 712.4 871.4 1005.9 1200.0 694.9 : 294.2 505.1 664.0 798.5 992.7 1200.0 989.1 : 210.9 369.8 504.3 698.5 905.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 134.4798 .. 294.2067 cents 159.72684 cents 134.47983 cents 2: 293.4594 .. 505.0686 cents 211.60912 cents -0.74722 cents 3: 487.5987 .. 712.4013 cents 224.80265 cents -17.46990 cents 4: 694.9314 .. 906.5406 cents 211.60912 cents -17.46990 cents 5: 905.7933 .. 1065.5202 cents 159.72684 cents -0.74722 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 134.47983 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 294.20667 cents Average / Smallest step : 1.487212 Largest / Average step : 1.471033 Largest / Smallest step : 2.187738 Median interval of one step : 200.73599 cents, amount: 0 Least squares average step : 188.28693 cents, oct.: 1129.72159 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 0.74722 cents Scale diversity : 1.516141 Lumma stability : 0.224133 Lumma impropriety factor : 0.030362 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 : 0.74722 cents Number of recognisable fifths : 4, average 700.3680 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 1 2 1 N D3 SD: 67.3558 c. M: 94.9314 c. 7: 1 1 1 1 2 1 P M ME SD: 28.7148 c. M:-49.3977 c. 12: 2 1 2 2 3 2 P G D3 SD: 18.3617 c. M:-41.0204 c. Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island) 14: 2 1 3 2 4 2 N SD: 25.2521 c. M:-39.4333 c. 15: 2 2 2 3 3 3 P SD: 19.3246 c. M: 29.1381 c. 16: 2 2 2 3 4 3 N SD: 18.8601 c. M: 37.5987 c. 17: 2 2 3 3 4 3 P SD: 10.0295 c. M: 17.8031 c. 24: 3 3 4 4 6 4 P SD: 8.3753 c. M:-12.4013 c. 29: 4 3 5 5 7 5 P SD: 6.1323 c. M:-8.9530 c. 40: 5 5 6 7 10 7 N SD: 5.8625 c. M: 8.9796 c. 45: 6 5 7 8 11 8 N SD: 3.3531 c. M: 7.5987 c. 52: 7 6 8 9 13 9 N SD: 3.5392 c. M:-6.5406 c. 61: 8 7 10 10 15 11 N SD: 3.9692 c. M: 6.4068 c. 62: 8 7 10 11 15 11 N SD: 2.8415 c. M: 4.1409 c. 69: 9 8 11 12 17 12 N SD: 1.6570 c. M: 2.4579 c. 98: 13 11 16 17 24 17 N SD: 1.8927 c. M:-3.0278 c. 114: 15 13 18 20 28 20 N SD: 1.5513 c. M: 3.3881 c. 135: 18 15 22 23 33 24 N SD: 1.3774 c. M: 2.4714 c. 136: 18 15 22 24 33 24 N SD: 1.6273 c. M: 2.3046 c. 143: 19 16 23 25 35 25 N SD: 0.8829 c. M:-1.5721 c. 204: 27 23 33 35 50 36 N SD: 0.6245 c. M: 0.9028 c. 266: 35 30 43 46 65 47 N SD: 0.6801 c. M: 1.1682 c. 273: 36 31 44 47 67 48 N SD: 0.5678 c. M:-1.0460 c. 278: 37 31 45 48 68 49 N SD: 0.4067 c. M:-0.7326 c. 295: 39 33 48 51 72 52 N SD: 0.5185 c. M: 0.6635 c. 302: 40 34 49 52 74 53 N SD: 0.5632 c. M:-1.1430 c. 340: 45 38 55 59 83 60 N SD: 0.5051 c. M: 0.9028 c. 347: 46 39 56 60 85 61 N SD: 0.2180 c. M:-0.4887 c. 625: 83 70 101 108 153 110 N SD: 0.2476 c. M:-0.3804 c. 642: 85 72 104 111 157 113 N SD: 0.2432 c. M:-0.3957 c. 741: 98 83 120 128 182 130 N SD: 0.2468 c. M: 0.3420 c. 756: 100 85 122 131 185 133 N SD: 0.2392 c. M:-0.3067 c. 876: 116 98 142 151 215 154 N SD: 0.2178 c. M: 0.4109 c. 945: 125 106 153 163 232 166 N SD: 0.1784 c. M: 0.3283 c. 957: 127 107 155 165 235 168 N SD: 0.1888 c. M:-0.2680 c. 974: 129 109 158 168 239 171 N SD: 0.1722 c. M:-0.2863 c. 1019: 135 114 165 176 250 179 N SD: 0.1149 c. M: 0.2308 c. 1088: 144 122 176 188 267 191 N SD: 0.1199 c. M:-0.2001 c. 1162: 154 130 188 201 285 204 N SD: 0.1302 c. M:-0.1906 c. 1223: 162 137 198 211 300 215 N SD: 0.1155 c. M: 0.2462 c. 1292: 171 145 209 223 317 227 N SD: 0.1039 c. M: 0.1946 c. 1297: 172 145 210 224 318 228 N SD: 0.1077 c. M: 0.1672 c. 1321: 175 148 214 228 324 232 N SD: 0.1004 c. M:-0.2136 c. 1366: 181 153 221 236 335 240 N SD: 0.0381 c. M: 0.0559 c. 1713: 227 192 277 296 420 301 N SD: 0.0328 c. M:-0.0607 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 3.5118 cents 3 x x 4 x 5:6 S SD: 35.0996 cents 4 x 5 x 6:7:8 S SD: 23.8273 cents 5 x 6:7 x 9:10 SD: 25.3851 cents 6 x 7:8:9:11:12 SD: 13.4051 cents 7 x 8:9:10:12:14 S SD: 25.1171 cents 8:9 x 11:12:14:16 SD: 16.1750 cents 9:10:11:12:13:16:18 SD: 13.9613 cents 10:11:12:13:15:18:20 SD: 8.3368 cents 12:13:14:16:18:21:24 S SD: 6.8606 cents 18:20:21:24:27:32:36 SD: 6.3736 cents 21:23:25:28:31:37:42 SD: 4.3549 cents 22:24:26:29:33:39:44 SD: 2.5184 cents 43:47:51:57:64:76:86 SD: 1.4929 cents 61:67:72:81:91:108:122 SD: 1.3991 cents 65:71:77:86:97:115:130 SD: 1.1965 cents 71:78:84:94:106:126:142 SD: 1.0516 cents 83:91:98:110:124:147:166 SD: 0.9799 cents 93:102:110:123:139:165:186 SD: 0.9746 cents 104:114:123:138:155:184:208 SD: 0.9438 cents 113:124:134:150:169:200:226 SD: 0.7050 cents 114:125:135:151:170:202:228 SD: 0.6037 cents 135:148:160:179:202:239:270 SD: 0.4927 cents 178:195:211:236:266:315:356 SD: 0.3243 cents 227:249:269:301:339:402:454 SD: 0.2783 cents 249:273:295:330:372:441:498 SD: 0.0895 cents 541:593:641:717:808:958:1082 SD: 0.0867 cents