Scala analysis: CD01_07_Egypt
Ô toi qui a les joues roses et douces / Donne, ô mon astre / Le soleil de ma coupe / Gloire à celui qui a crée cet astre - Darwîsh Muhammad al-Harîrî (hijaz, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 203.930 cents 203.929621 2: 347.788 cents 347.788072 3: 507.779 cents 507.779193 4: 691.481 cents 691.480534 5: 904.812 cents 904.812314 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 295.1877 cents 295.1877 1: 203.9296 cents 203.9296 2: 143.8585 cents 143.8585 3: 159.9911 cents 159.9911 4: 183.7013 cents 183.7013 5: 213.3318 cents 213.3318 6: 295.1877 cents 295.1877
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 143.85845 cents 1: 1 159.99112 cents 1: 1 183.70134 cents 1: 1 203.92962 cents 1: 1 213.33178 cents 1: 1 295.18769 cents 2: 1 303.84957 cents 2: 1 343.69246 cents 2: 1 347.78807 cents 2: 1 397.03312 cents 2: 1 499.11731 cents 2: 1 508.51947 cents 3: 1 487.55091 cents 3: 1 507.77919 cents 3: 1 557.02424 cents 3: 1 642.97576 cents 3: 1 692.22081 cents 3: 1 712.44909 cents 4: 1 691.48053 cents 4: 1 700.88269 cents 4: 1 802.96688 cents 4: 1 852.21193 cents 4: 1 856.30754 cents 4: 1 896.15043 cents 5: 1 904.81231 cents 5: 1 986.66822 cents 5: 1 996.07038 cents 5: 1 1016.29866 cents 5: 1 1040.00888 cents 5: 1 1056.14155 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 : 203.9 347.8 507.8 691.5 904.8 1200.0 203.9 : 143.9 303.8 487.6 700.9 996.1 1200.0 347.8 : 160.0 343.7 557.0 852.2 1056.1 1200.0 507.8 : 183.7 397.0 692.2 896.2 1040.0 1200.0 691.5 : 213.3 508.5 712.4 856.3 1016.3 1200.0 904.8 : 295.2 499.1 643.0 803.0 986.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 143.8585 .. 295.1877 cents 151.32924 cents 143.85845 cents 2: 303.8496 .. 508.5195 cents 204.66989 cents 8.66189 cents 3: 487.5509 .. 712.4491 cents 224.89817 cents -20.96855 cents 4: 691.4805 .. 896.1504 cents 204.66989 cents -20.96855 cents 5: 904.8123 .. 1056.1415 cents 151.32924 cents 8.66189 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 143.85845 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 295.18769 cents Average / Smallest step : 1.390255 Largest / Average step : 1.475938 Largest / Smallest step : 2.051931 Median interval of one step : 193.81548 cents, amount: 0 Least squares average step : 185.85524 cents, oct.: 1115.13145 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : DABCEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.74027 cents Scale diversity : 1.519952 Lumma stability : 0.254201 Lumma impropriety factor : 0.034948 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 : 0.74027 cents Number of recognisable fifths : 4, average 699.2583 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 1 1 2 N T3 SD: 93.8327 c. M: 147.7881 c. 7: 1 1 1 1 1 2 P M ME SD: 23.9047 c. M: 47.6695 c. 11: 2 1 2 1 2 3 N G SD: 27.1940 c. M:-37.6754 c. 12: 2 1 2 2 2 3 P T3 SD: 20.2295 c. M: 47.7881 c. Raga Suddha Bangala, Gauri Velavali, Pushp 15: 3 1 2 3 2 4 N SD: 26.6894 c. M:-36.0704 c. 16: 3 2 2 2 3 4 N SD: 17.2035 c. M:-27.2119 c. 17: 3 2 2 3 3 4 P SD: 10.3821 c. M:-14.4018 c. 24: 4 3 3 4 4 6 P SD: 5.4251 c. M:-8.5195 c. 45: 8 5 6 7 8 11 N SD: 4.0373 c. M:-9.4037 c. 49: 8 6 7 7 9 12 N SD: 5.2567 c. M: 8.0113 c. 52: 9 6 7 8 9 13 N SD: 2.6038 c. M: 4.8123 c. 66: 11 8 9 10 12 16 N SD: 2.6217 c. M:-4.2786 c. 90: 15 11 12 14 16 22 N SD: 2.0334 c. M: 3.9296 c. 94: 16 11 13 14 17 23 N SD: 2.0368 c. M: 3.1072 c. 106: 18 13 14 16 19 26 N SD: 1.5424 c. M:-3.1553 c. 113: 19 14 15 17 20 28 N SD: 1.9002 c. M:-2.6544 c. 118: 20 14 16 18 21 29 N SD: 0.9086 c. M: 2.0254 c. 135: 23 16 18 21 24 33 N SD: 1.2670 c. M:-1.8544 c. 142: 24 17 19 22 25 35 N SD: 1.0018 c. M:-1.4772 c. 175: 30 21 23 27 31 43 N SD: 1.1774 c. M:-1.9262 c. 182: 31 22 24 28 32 45 N SD: 0.9975 c. M:-1.6625 c. 217: 37 26 29 33 39 53 N SD: 1.0198 c. M:-2.1001 c. 224: 38 27 30 34 40 55 N SD: 0.5909 c. M:-1.1494 c. 248: 42 30 33 38 44 61 N SD: 0.4365 c. M: 0.7038 c. 293: 50 35 39 45 52 72 N SD: 0.4796 c. M:-0.8485 c. 300: 51 36 40 46 53 74 N SD: 0.4140 c. M: 0.8123 c. 366: 62 44 49 56 65 90 N SD: 0.3593 c. M: 0.6509 c. 411: 70 49 55 63 73 101 N SD: 0.3443 c. M:-0.4903 c. 517: 88 62 69 79 92 127 N SD: 0.3523 c. M:-0.5380 c. 524: 89 63 70 80 93 129 N SD: 0.3042 c. M:-0.6178 c. 635: 108 76 85 97 113 156 N SD: 0.2977 c. M:-0.5673 c. 642: 109 77 86 98 114 158 N SD: 0.2836 c. M:-0.6320 c. 659: 112 79 88 101 117 162 N SD: 0.2364 c. M:-0.4770 c. 666: 113 80 89 102 118 164 N SD: 0.2829 c. M:-0.4114 c. 711: 121 85 95 109 126 175 N SD: 0.2690 c. M:-0.5026 c. 777: 132 93 104 119 138 191 N SD: 0.2625 c. M:-0.4114 c. 784: 133 94 105 120 139 193 N SD: 0.3072 c. M:-0.3841 c. 801: 136 96 107 123 142 197 N SD: 0.2950 c. M:-0.6543 c. 817: 139 98 109 125 145 201 N SD: 0.2688 c. M:-0.4215 c. 842: 143 101 112 129 150 207 N SD: 0.2217 c. M: 0.4158 c. 894: 152 107 119 137 159 220 N SD: 0.2003 c. M: 0.3966 c. 946: 161 113 126 145 168 233 N SD: 0.2715 c. M: 0.3796 c. 948: 161 114 126 145 169 233 N SD: 0.2342 c. M: 0.3413 c. 959: 163 115 128 147 170 236 N SD: 0.2323 c. M:-0.4903 c. 960: 163 115 128 147 171 236 N SD: 0.2166 c. M: 0.2881 c. 1000: 170 120 133 153 178 246 N SD: 0.1637 c. M: 0.2805 c. 1052: 179 126 140 161 187 259 N SD: 0.1925 c. M:-0.2529 c. 1066: 181 128 142 163 190 262 N SD: 0.1804 c. M: 0.2985 c. 1090: 185 131 145 167 194 268 N SD: 0.1706 c. M: 0.2599 c. 1118: 190 134 149 171 199 275 N SD: 0.1073 c. M: 0.2462 c. 1142: 194 137 152 175 203 281 N SD: 0.1148 c. M: 0.2485 c. 1170: 199 140 156 179 208 288 N SD: 0.1442 c. M: 0.1985 c. 1236: 210 148 165 189 220 304 N SD: 0.1279 c. M: 0.2184 c. 1260: 214 151 168 193 224 310 N SD: 0.1110 c. M: 0.1690 c. 1366: 232 164 182 209 243 336 N SD: 0.0795 c. M: 0.1229 c. 1418: 241 170 189 217 252 349 N SD: 0.0748 c. M: 0.1579 c. 1536: 261 184 205 235 273 378 N SD: 0.0818 c. M: 0.1318 c. 1553: 264 186 207 238 276 382 N SD: 0.0711 c. M: 0.1166 c. 1659: 282 199 221 254 295 408 N SD: 0.0649 c. M:-0.1324 c. 1777: 302 213 237 272 316 437 N SD: 0.0398 c. M:-0.0836 c. 2025: 344 243 270 310 360 498 N SD: 0.0669 c. M: 0.0778 c. 2077: 353 249 277 318 369 511 N SD: 0.0523 c. M:-0.0939 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 5.2372 cents 3 x x 4 x 5:6 S SD: 7.5506 cents 4 x 5 x 6:7:8 S SD: 18.8608 cents 5 x 6:7 x 8:10 S SD: 30.5393 cents 6:7 x 8:9:10:12 S SD: 13.5417 cents 7:8 x 9:10:12:14 S SD: 22.1843 cents 8:9:10:11:12:14:16 S SD: 14.5175 cents 9:10:11:12:13:15:18 SD: 10.5232 cents 14:16:17:19:21:24:28 SD: 7.8650 cents 17:19:21:23:25:29:34 SD: 6.7811 cents 18:20:22:24:27:30:36 S SD: 5.4932 cents 23:26:28:31:34:39:46 SD: 3.7625 cents 32:36:39:43:48:54:64 SD: 2.0612 cents 41:46:50:55:61:69:82 SD: 1.3681 cents 71:80:87:95:106:120:142 SD: 1.2525 cents 73:82:89:98:109:123:146 SD: 1.0863 cents 102:115:125:137:152:172:204 SD: 1.0744 cents 103:116:126:138:154:174:206 SD: 1.0371 cents 112:126:137:150:167:189:224 SD: 0.4173 cents 153:172:187:205:228:258:306 SD: 0.3415 cents 185:208:226:248:276:312:370 SD: 0.3329 cents 255:287:312:342:380:430:510 SD: 0.3202 cents 265:298:324:355:395:447:530 SD: 0.3086 cents 287:323:351:385:428:484:574 SD: 0.2184 cents 328:369:401:440:489:553:656 SD: 0.1590 cents 440:495:538:590:656:742:880 SD: 0.0609 cents