Scala analysis: CD03_03_Egypt
Ô Échanson / Ami, raconte à celui qui est tiède envers moi / Les étoiles de la nuit - Darwîsh Muhammad al-Harîrî (kurdan, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 138.618 cents 138.617937 2: 335.378 cents 335.377734 3: 477.067 cents 477.067018 4: 637.478 cents 637.478089 5: 834.646 cents 834.645997 6: 1050.794 cents 1050.794014 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 149.2060 cents 149.2060 1: 138.6179 cents 138.6179 2: 196.7598 cents 196.7598 3: 141.6893 cents 141.6893 4: 160.4111 cents 160.4111 5: 197.1679 cents 197.1679 6: 216.1480 cents 216.1480 7: 149.2060 cents 149.2060
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 138.61794 cents 1: 1 141.68928 cents 1: 1 149.20599 cents 1: 1 160.41107 cents 1: 1 196.75980 cents 1: 1 197.16791 cents 1: 1 216.14802 cents 2: 1 287.82392 cents 2: 1 302.10035 cents 2: 1 335.37773 cents 2: 1 338.44908 cents 2: 1 357.57898 cents 2: 1 365.35400 cents 2: 1 413.31593 cents 3: 1 477.06702 cents 3: 1 484.58372 cents 3: 1 498.86015 cents 3: 1 499.26826 cents 3: 1 503.97194 cents 3: 1 562.52191 cents 3: 1 573.72700 cents 4: 1 626.27300 cents 4: 1 637.47809 cents 4: 1 696.02806 cents 4: 1 700.73174 cents 4: 1 701.13985 cents 4: 1 715.41628 cents 4: 1 722.93298 cents 5: 1 786.68407 cents 5: 1 834.64600 cents 5: 1 842.42102 cents 5: 1 861.55092 cents 5: 1 864.62227 cents 5: 1 897.89965 cents 5: 1 912.17608 cents 6: 1 983.85198 cents 6: 1 1002.83209 cents 6: 1 1003.24020 cents 6: 1 1039.58893 cents 6: 1 1050.79401 cents 6: 1 1058.31072 cents 6: 1 1061.38206 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 138.6 335.4 477.1 637.5 834.6 1050.8 1200.0 138.6 : 196.8 338.4 498.9 696.0 912.2 1061.4 1200.0 335.4 : 141.7 302.1 499.3 715.4 864.6 1003.2 1200.0 477.1 : 160.4 357.6 573.7 722.9 861.6 1058.3 1200.0 637.5 : 197.2 413.3 562.5 701.1 897.9 1039.6 1200.0 834.6 : 216.1 365.4 504.0 700.7 842.4 1002.8 1200.0 1050.8: 149.2 287.8 484.6 626.3 786.7 983.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 138.6179 .. 216.1480 cents 77.53008 cents 138.61794 cents 2: 287.8239 .. 413.3159 cents 125.49200 cents 71.67591 cents 3: 477.0670 .. 573.7270 cents 96.65998 cents 63.75109 cents 4: 626.2730 .. 722.9330 cents 96.65998 cents 52.54601 cents 5: 786.6841 .. 912.1761 cents 125.49200 cents 63.75109 cents 6: 983.8520 .. 1061.3821 cents 77.53008 cents 71.67591 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 138.61794 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 216.14802 cents Average / Smallest step : 1.236698 Largest / Average step : 1.260863 Largest / Smallest step : 1.559308 Median interval of one step : 160.41107 cents, amount: 1 Least squares average step : 169.06058 cents, oct.: 1183.42404 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : AEBDFGC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 52.54601 cents Scale diversity : 1.491121 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.500530 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 0.40811 cents Number of recognisable fifths : 4, average 703.3290 cents Number of appreciable fifths : 3, average 699.2999 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 96.6600 cents: 3 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 28.8949 c. M:-48.2362 c. Lebeng 10: 1 2 1 1 2 2 1 P D3 S SD: 21.5398 c. M: 37.4781 c. 15: 2 2 2 2 2 3 2 SP M ME S SD: 17.0104 c. M: 34.6460 c. 17: 2 3 2 2 3 3 2 SP D3 S SD: 10.8829 c. M:-17.5634 c. Dastgah-e Sehgah 25: 3 4 3 3 4 5 3 SP SD: 9.2148 c. M: 18.6460 c. 26: 3 4 3 4 4 5 3 P SD: 9.2444 c. M: 15.5286 c. 32: 4 5 4 4 5 6 4 SP SD: 6.9342 c. M:-11.3821 c. 36: 4 6 4 5 6 6 5 SP S SD: 8.1421 c. M: 17.4607 c. 40: 5 6 5 5 7 7 5 SP S SD: 6.0035 c. M:-11.3821 c. 42: 5 7 5 5 7 8 5 SP SD: 6.6033 c. M: 8.9067 c. 43: 5 7 5 6 7 8 5 SP SD: 4.2662 c. M:-9.6711 c. 55: 6 9 7 7 9 10 7 SP SD: 5.3392 c. M: 8.1050 c. 58: 7 9 7 8 9 11 7 SP SD: 4.5215 c. M: 7.0598 c. 60: 7 10 7 8 10 11 7 SP SD: 4.6545 c. M:-9.2060 c. 62: 7 10 8 8 10 11 8 SP SD: 4.3969 c. M:-6.8039 c. 68: 8 11 8 9 11 13 8 SP SD: 3.8461 c. M:-8.0295 c. 71: 8 12 8 10 11 13 9 SP SD: 3.9003 c. M: 6.4770 c. 75: 9 12 9 10 12 14 9 SP SD: 3.3471 c. M:-5.3821 c. 79: 9 13 9 11 13 14 10 SP SD: 2.7104 c. M: 6.1809 c. 86: 10 14 10 12 14 15 11 SP SD: 2.7311 c. M:-4.3824 c. 96: 11 16 11 13 16 17 12 SP SD: 1.6389 c. M:-2.8540 c. 111: 13 18 13 15 18 20 14 SP SD: 1.4795 c. M: 2.2136 c. 121: 14 20 14 16 20 22 15 SP SD: 1.4532 c. M: 2.7673 c. 128: 15 21 15 17 21 23 16 SP SD: 1.2163 c. M:-2.1223 c. 154: 18 25 18 21 25 28 19 SP SD: 1.2032 c. M: 1.7423 c. 171: 20 28 20 23 28 31 21 SP SD: 1.1944 c. M:-1.8376 c. 194: 22 32 23 26 32 35 24 SP SD: 1.1796 c. M: 2.5355 c. 201: 23 33 24 27 33 36 25 SP SD: 0.9446 c. M:-1.3279 c. 226: 26 37 27 30 37 41 28 SP SD: 0.6695 c. M: 1.0177 c. 305: 35 50 36 41 50 55 38 SP SD: 0.6701 c. M: 1.0014 c. 312: 36 51 37 42 51 56 39 SP SD: 0.5638 c. M:-0.9834 c. 322: 37 53 38 43 53 58 40 SP SD: 0.2971 c. M: 0.7297 c. 433: 50 71 51 58 71 78 54 SP SD: 0.2879 c. M: 0.4659 c. 450: 52 74 53 60 74 81 56 SP SD: 0.2668 c. M:-0.6223 c. 604: 70 99 71 81 99 109 75 SP SD: 0.2856 c. M:-0.4549 c. 634: 73 104 75 85 104 114 79 SP SD: 0.2899 c. M: 0.4476 c. 651: 75 107 77 87 107 117 81 SP SD: 0.2727 c. M:-0.3770 c. 676: 78 111 80 90 111 122 84 SP SD: 0.2378 c. M:-0.4478 c. 755: 87 124 89 101 124 136 94 SP SD: 0.1982 c. M: 0.3398 c. 762: 88 125 90 102 125 137 95 SP SD: 0.1981 c. M: 0.4003 c. 772: 89 127 91 103 127 139 96 SP SD: 0.1959 c. M:-0.3736 c. 838: 97 137 99 112 138 151 104 SP SD: 0.2370 c. M: 0.2942 c. 883: 102 145 104 118 145 159 110 SP SD: 0.1814 c. M:-0.2961 c. 926: 107 152 109 124 152 167 115 SP SD: 0.1467 c. M:-0.2594 c. 1084: 125 178 128 145 178 195 135 SP SD: 0.1457 c. M: 0.2416 c. 1152: 133 189 136 154 189 208 143 SP SD: 0.1429 c. M: 0.2710 c. 1160: 134 190 137 155 191 209 144 SP SD: 0.1765 c. M:-0.2405 c. 1167: 135 191 138 156 192 210 145 SP SD: 0.1611 c. M:-0.3154 c. 1205: 139 198 142 161 198 217 150 SP SD: 0.1481 c. M:-0.2239 c. 1238: 143 203 146 166 203 223 154 SP SD: 0.1434 c. M:-0.3248 c. 1248: 144 205 147 167 205 225 155 SP SD: 0.1278 c. M:-0.1992 c. 1255: 145 206 148 168 206 226 156 SP SD: 0.1502 c. M:-0.2908 c. 1288: 149 211 152 172 212 232 160 SP SD: 0.1341 c. M: 0.2110 c. 1446: 167 237 171 193 238 260 180 SP SD: 0.1286 c. M:-0.2088 c. 1481: 171 243 175 198 243 267 184 SP SD: 0.1194 c. M:-0.1992 c. 1560: 180 256 184 209 256 281 194 SP SD: 0.1151 c. M:-0.2142 c. 1577: 182 259 186 211 259 284 196 SP SD: 0.1233 c. M:-0.1961 c. 1600: 185 262 189 214 263 288 199 SP SD: 0.0858 c. M:-0.1321 c. 1922: 222 315 227 257 316 346 239 SP SD: 0.0622 c. M:-0.1095 c. 2050: 237 336 242 274 337 369 255 SP SD: 0.0607 c. M:-0.1138 c. 2276: 263 373 269 304 374 410 283 SP SD: 0.0460 c. M:-0.0859 c. 2372: 274 389 280 317 390 427 295 SP SD: 0.0427 c. M:-0.0926 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 32.2385 cents 3 x x 4 x 5 x 6 S SD: 17.9859 cents 4 x 5 x 6 x 7:8 S SD: 29.0156 cents 5 x 6 x 7:8:9:10 S SD: 14.0743 cents 6 x 7:8:9:10:11:12 S SD: 18.0769 cents 7:8 x 9:10:11:13:14 SD: 19.6398 cents 8:9:10:11:12:13:15:16 SD: 19.1487 cents 9:10:11:12:13:15:17:18 SD: 12.3712 cents 10:11:12:13:14:16:18:20 S SD: 11.2219 cents 12:13:15:16:17:19:22:24 SD: 10.8357 cents 13:14:16:17:19:21:24:26 SD: 5.2677 cents 22:24:27:29:32:36:40:44 SD: 4.9704 cents 23:25:28:30:33:37:42:46 SD: 3.8054 cents 32:35:39:42:46:52:59:64 SD: 3.3577 cents 34:37:41:45:49:55:62:68 SD: 2.8436 cents 37:40:45:49:53:60:68:74 SD: 2.7057 cents 38:41:46:50:55:62:70:76 SD: 2.4518 cents 47:51:57:62:68:76:86:94 SD: 1.0057 cents 85:92:103:112:123:138:156:170 SD: 0.8438 cents 97:105:118:128:140:157:178:194 SD: 0.8139 cents 108:117:131:142:156:175:198:216 SD: 0.5613 cents 155:168:188:204:224:251:284:310 SD: 0.4613 cents 182:197:221:240:263:295:334:364 SD: 0.4182 cents 202:219:245:266:292:327:371:404 SD: 0.3813 cents 205:222:249:270:296:332:376:410 SD: 0.3141 cents 252:273:306:332:364:408:462:504 SD: 0.2725 cents 290:314:352:382:419:470:532:580 SD: 0.2417 cents 337:365:409:444:487:546:618:674 SD: 0.1911 cents 384:416:466:506:555:622:705:768 SD: 0.1815 cents 407:441:494:536:588:659:747:814 SD: 0.1365 cents 454:492:551:598:656:735:833:908 SD: 0.1235 cents 539:584:654:710:779:873:989:1078 SD: 0.0927 cents