Scala analysis: CD03_07_rast_Egypt
L'origine de l'amour est un regard - Aziz 'Uthmân (rast, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 209.969 cents 209.968924 2: 359.195 cents 359.195465 3: 506.914 cents 506.913985 4: 702.455 cents 702.455186 5: 836.442 cents 836.441748 6: 1003.149 cents 1003.148830 7: 1090.487 cents 1090.486665 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 109.5133 cents 109.5133 1: 209.9689 cents 209.9689 2: 149.2265 cents 149.2265 3: 147.7185 cents 147.7185 4: 195.5412 cents 195.5412 5: 133.9866 cents 133.9866 6: 166.7071 cents 166.7071 7: 87.3378 cents 87.3378 8: 109.5133 cents 109.5133
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 87.33783 cents 1: 1 109.51334 cents 1: 1 133.98656 cents 1: 1 147.71852 cents 1: 1 149.22654 cents 1: 1 166.70708 cents 1: 1 195.54120 cents 1: 1 209.96892 cents 2: 1 196.85117 cents 2: 1 254.04492 cents 2: 1 296.94506 cents 2: 1 300.69364 cents 2: 1 319.48226 cents 2: 1 329.52776 cents 2: 1 343.25972 cents 2: 1 359.19547 cents 3: 1 363.55825 cents 3: 1 388.03148 cents 3: 1 406.82009 cents 3: 1 468.70880 cents 3: 1 477.24628 cents 3: 1 492.48626 cents 3: 1 496.23485 cents 3: 1 506.91398 cents 4: 1 497.54481 cents 4: 1 556.04664 cents 4: 1 573.52718 cents 4: 1 583.57268 cents 4: 1 616.42732 cents 4: 1 626.47282 cents 4: 1 643.95336 cents 4: 1 702.45519 cents 5: 1 693.08602 cents 5: 1 703.76515 cents 5: 1 707.51374 cents 5: 1 722.75372 cents 5: 1 731.29120 cents 5: 1 793.17991 cents 5: 1 811.96852 cents 5: 1 836.44175 cents 6: 1 840.80453 cents 6: 1 856.74028 cents 6: 1 870.47224 cents 6: 1 880.51774 cents 6: 1 899.30636 cents 6: 1 903.05494 cents 6: 1 945.95508 cents 6: 1 1003.14883 cents 7: 1 990.03108 cents 7: 1 1004.45880 cents 7: 1 1033.29292 cents 7: 1 1050.77346 cents 7: 1 1052.28148 cents 7: 1 1066.01344 cents 7: 1 1090.48666 cents 7: 1 1112.66217 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 210.0 359.2 506.9 702.5 836.4 1003.1 1090.5 1200.0 210.0 : 149.2 296.9 492.5 626.5 793.2 880.5 990.0 1200.0 359.2 : 147.7 343.3 477.2 644.0 731.3 840.8 1050.8 1200.0 506.9 : 195.5 329.5 496.2 583.6 693.1 903.1 1052.3 1200.0 702.5 : 134.0 300.7 388.0 497.5 707.5 856.7 1004.5 1200.0 836.4 : 166.7 254.0 363.6 573.5 722.8 870.5 1066.0 1200.0 1003.1: 87.3 196.9 406.8 556.0 703.8 899.3 1033.3 1200.0 1090.5: 109.5 319.5 468.7 616.4 812.0 946.0 1112.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 87.3378 .. 209.9689 cents 122.63109 cents 87.33783 cents 2: 196.8512 .. 359.1955 cents 162.34429 cents -13.11775 cents 3: 363.5583 .. 506.9140 cents 143.35573 cents 4.36279 cents 4: 497.5448 .. 702.4552 cents 204.91037 cents -9.36917 cents 5: 693.0860 .. 836.4417 cents 143.35573 cents -9.36917 cents 6: 840.8045 .. 1003.1488 cents 162.34429 cents 4.36279 cents 7: 990.0311 .. 1112.6622 cents 122.63109 cents -13.11775 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 87.33783 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 209.96892 cents Average / Smallest step : 1.717469 Largest / Average step : 1.399793 Largest / Smallest step : 2.404100 Median interval of one step : 148.47253 cents, amount: 0 Least squares average step : 160.26192 cents, oct.: 1282.09533 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : HEDGCFAB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.30997 cents Scale diversity : 1.646084 Lumma stability : 0.152834 Lumma impropriety factor : 0.037478 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 1.30997 cents Number of recognisable fifths : 4, average 701.7050 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 2 1 1 0 1 N T3 SD: 50.5890 c. M:-63.5583 c. 10: 2 1 1 2 1 1 1 1 P D3 S SD: 22.1335 c. M: 43.1488 c. 12: 2 2 1 2 1 2 1 1 P D3 SD: 20.1452 c. M:-40.8045 c. 14: 2 2 2 2 2 2 1 1 P D3 S SD: 21.5874 c. M: 38.5404 c. 17: 3 2 2 3 2 2 1 2 P SD: 13.9442 c. M: 31.6631 c. 19: 3 3 2 3 2 3 1 2 P SD: 13.4446 c. M: 20.4952 c. 23: 4 3 3 3 3 3 2 2 P SD: 11.2515 c. M: 24.1943 c. 24: 4 3 3 4 3 3 2 2 P SD: 8.0778 c. M:-13.5583 c. 33: 6 4 4 5 4 5 2 3 N SD: 7.5117 c. M:-15.0330 c. 36: 6 5 4 6 4 5 3 3 P SD: 6.3158 c. M: 9.9689 c. 43: 8 5 5 7 5 6 3 4 N SD: 5.4851 c. M:-13.2869 c. 50: 9 6 6 8 6 7 3 5 N SD: 5.4008 c. M: 10.4867 c. 53: 9 7 6 9 6 7 4 5 P SD: 4.8582 c. M: 8.8008 c. 56: 10 7 7 9 6 8 4 5 N SD: 4.2273 c. M:-7.3717 c. 63: 11 8 8 10 7 9 4 6 N SD: 4.0828 c. M:-7.3717 c. 67: 12 8 8 11 8 9 5 6 N SD: 3.5945 c. M: 5.4214 c. 73: 13 9 9 12 8 10 5 7 N SD: 3.1832 c. M: 5.5552 c. 80: 14 10 10 13 9 11 6 7 N SD: 2.5765 c. M:-4.5133 c. 90: 16 11 11 15 10 12 7 8 N SD: 2.7487 c. M:-4.2115 c. 97: 17 12 12 16 11 13 7 9 N SD: 2.0975 c. M:-4.7954 c. 109: 19 14 13 18 12 15 8 10 N SD: 1.7470 c. M:-4.1073 c. 118: 21 14 15 19 13 17 8 11 N SD: 2.5430 c. M:-3.6308 c. 120: 21 15 15 19 14 16 9 11 N SD: 2.2083 c. M:-3.5583 c. 121: 21 15 15 20 13 17 9 11 N SD: 1.7878 c. M: 3.3839 c. 133: 23 17 16 22 15 18 10 12 N SD: 1.7553 c. M:-2.6560 c. 153: 27 19 19 25 17 21 11 14 N SD: 2.0683 c. M:-3.4272 c. 154: 27 19 19 25 17 22 11 14 N SD: 1.3126 c. M: 2.6755 c. 164: 29 20 20 27 18 23 12 15 N SD: 1.3860 c. M: 2.2954 c. 166: 29 21 20 27 19 23 12 15 N SD: 1.4119 c. M:-2.2503 c. 171: 30 21 21 28 19 24 12 16 N SD: 1.3620 c. M: 2.7674 c. 178: 31 22 22 29 20 25 13 16 N SD: 1.2628 c. M: 1.8921 c. 195: 34 24 24 32 22 27 14 18 N SD: 1.3061 c. M: 2.2986 c. 201: 35 25 25 33 22 28 15 18 N SD: 1.1731 c. M:-2.0506 c. 207: 36 26 25 34 23 29 15 19 N SD: 1.2492 c. M: 2.5662 c. 208: 36 26 26 34 23 29 15 19 N SD: 1.1450 c. M: 2.2766 c. 218: 38 27 27 36 24 30 16 20 N SD: 1.0896 c. M:-2.1320 c. 227: 40 28 28 37 25 32 16 21 N SD: 1.0169 c. M: 1.4999 c. 234: 41 29 29 38 26 33 17 21 N SD: 1.0173 c. M:-1.9794 c. 241: 42 30 30 39 27 33 18 22 N SD: 0.9779 c. M: 2.3190 c. 244: 43 30 30 40 27 34 18 22 N SD: 0.7905 c. M:-1.5065 c. 251: 44 31 31 41 28 35 18 23 N SD: 0.4502 c. M:-0.8352 c. 360: 63 45 44 59 40 50 26 33 N SD: 0.4746 c. M:-0.8781 c. 468: 82 58 58 76 52 65 34 43 N SD: 0.4924 c. M:-0.7783 c. 492: 86 61 61 80 55 68 36 45 N SD: 0.3914 c. M: 0.7098 c. 525: 92 65 65 85 59 73 38 48 N SD: 0.3814 c. M: 0.7409 c. 538: 94 67 66 88 60 75 39 49 N SD: 0.3252 c. M: 0.5943 c. 578: 101 72 71 94 65 80 42 53 N SD: 0.3861 c. M: 0.7251 c. 601: 105 75 74 98 67 83 44 55 N SD: 0.3761 c. M: 0.8194 c. 611: 107 76 75 100 68 85 44 56 N SD: 0.3573 c. M:-0.6545 c. 634: 111 79 78 103 71 88 46 58 N SD: 0.2420 c. M:-0.4260 c. 755: 132 94 93 123 84 105 55 69 N SD: 0.1920 c. M: 0.4153 c. 822: 144 102 101 134 92 114 60 75 N SD: 0.1978 c. M: 0.3446 c. 878: 154 109 108 143 98 122 64 80 N SD: 0.2186 c. M:-0.5094 c. 885: 155 110 109 144 99 123 64 81 N SD: 0.1910 c. M: 0.3172 c. 921: 161 115 113 150 103 128 67 84 N SD: 0.1816 c. M:-0.4137 c. 1006: 176 125 124 164 112 140 73 92 N SD: 0.1423 c. M: 0.2588 c. 1172: 205 146 144 191 131 163 85 107 N SD: 0.1279 c. M:-0.2641 c. 1293: 226 161 159 211 144 180 94 118 N SD: 0.1440 c. M: 0.2469 c. 1389: 243 173 171 226 155 193 101 127 N SD: 0.1481 c. M:-0.2134 c. 1390: 243 173 171 227 155 193 101 127 N SD: 0.1439 c. M:-0.2786 c. 1413: 247 176 174 230 158 196 103 129 N SD: 0.1141 c. M: 0.2025 c. 1567: 274 195 193 255 175 218 114 143 N SD: 0.1182 c. M: 0.2216 c. 1577: 276 196 194 257 176 219 115 144 N SD: 0.1218 c. M: 0.2319 c. 1633: 286 203 201 266 182 227 119 149 N SD: 0.1238 c. M:-0.1964 c. 1640: 287 204 202 267 183 228 119 150 N SD: 0.1126 c. M: 0.2428 c. 1657: 290 206 204 270 185 230 121 151 N SD: 0.0760 c. M:-0.1591 c. 1664: 291 207 205 271 186 231 121 152 N SD: 0.0731 c. M: 0.1132 c. 1908: 334 237 235 311 213 265 139 174 N SD: 0.0569 c. M:-0.0940 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x 4 S SD: 0.2501 cents 3 x x 4 x 5 x x 6 S SD: 16.2436 cents 4 x 5 x 6 x 7 x 8 S SD: 10.9365 cents 5 x 6:7 x 8:9 x 10 S SD: 18.2632 cents 6:7 x 8:9:10 x 11:12 S SD: 14.2438 cents 7:8 x 9 x 11 x 13:14 SD: 18.8389 cents 8:9:10:11:12:13:14:15:16 H SD: 7.8499 cents 14:16:17:19:21:23:25:26:28 SD: 6.0449 cents 18:20:22:24:27:29:32:34:36 SD: 4.4284 cents 24:27:30:32:36:39:43:45:48 SD: 3.7786 cents 26:29:32:35:39:42:46:49:52 SD: 3.5724 cents 30:34:37:40:45:49:54:56:60 SD: 3.0971 cents 32:36:39:43:48:52:57:60:64 SD: 2.4130 cents 38:43:47:51:57:62:68:71:76 SD: 2.2018 cents 47:53:58:63:71:76:84:88:94 SD: 1.8179 cents 48:54:59:64:72:78:86:90:96 SD: 1.6877 cents 56:63:69:75:84:91:100:105:112 SD: 1.0095 cents 92:104:113:123:138:149:164:173:184 SD: 0.8819 cents 100:113:123:134:150:162:179:188:200 SD: 0.7280 cents 108:122:133:145:162:175:193:203:216 SD: 0.5776 cents 130:147:160:174:195:211:232:244:260 SD: 0.5244 cents 148:167:182:198:222:240:264:278:296 SD: 0.4697 cents 156:176:192:209:234:253:278:293:312 SD: 0.4211 cents 164:185:202:220:246:266:293:308:328 SD: 0.4092 cents 200:226:246:268:300:324:357:375:400 SD: 0.3964 cents 238:269:293:319:357:386:425:447:476 SD: 0.3130 cents 256:289:315:343:384:415:457:481:512 SD: 0.1937 cents 364:411:448:488:546:590:650:683:728 SD: 0.1857 cents 433:489:533:580:650:702:773:813:866 SD: 0.1847 cents 441:498:543:591:662:715:787:828:882 SD: 0.1831 cents 456:515:561:611:684:739:814:856:912 SD: 0.1485 cents 464:524:571:622:696:752:828:871:928 SD: 0.1460 cents 473:534:582:634:710:767:844:888:946 SD: 0.1391 cents 512:578:630:686:768:830:914:961:1024 SD: 0.1013 cents