Scala analysis: CD04_12_Egypt
Suite - Dâwûd Khudr Husnî (nahawand, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 87.161 cents 87.160543 2: 303.890 cents 303.890126 3: 414.358 cents 414.358315 4: 699.254 cents 699.254268 5: 797.700 cents 797.699686 6: 913.640 cents 913.639957 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 286.3600 cents 286.3600 1: 87.1605 cents 87.1605 2: 216.7296 cents 216.7296 3: 110.4682 cents 110.4682 4: 284.8960 cents 284.8960 5: 98.4454 cents 98.4454 6: 115.9403 cents 115.9403 7: 286.3600 cents 286.3600
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 87.16054 cents 1: 1 98.44542 cents 1: 1 110.46819 cents 1: 1 115.94027 cents 1: 1 216.72958 cents 1: 1 284.89595 cents 1: 1 286.36004 cents 2: 1 214.38569 cents 2: 1 303.89013 cents 2: 1 327.19777 cents 2: 1 373.52059 cents 2: 1 383.34137 cents 2: 1 395.36414 cents 2: 1 402.30031 cents 3: 1 414.35832 cents 3: 1 489.46086 cents 3: 1 493.80956 cents 3: 1 499.28164 cents 3: 1 500.74573 cents 3: 1 590.25017 cents 3: 1 612.09372 cents 4: 1 587.90627 cents 4: 1 609.74983 cents 4: 1 699.25427 cents 4: 1 700.71836 cents 4: 1 706.19044 cents 4: 1 710.53914 cents 4: 1 785.64168 cents 5: 1 797.69969 cents 5: 1 804.63586 cents 5: 1 816.65863 cents 5: 1 826.47941 cents 5: 1 872.80223 cents 5: 1 896.10987 cents 5: 1 985.61431 cents 6: 1 913.63996 cents 6: 1 915.10405 cents 6: 1 983.27042 cents 6: 1 1084.05973 cents 6: 1 1089.53181 cents 6: 1 1101.55458 cents 6: 1 1112.83946 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 : 87.2 303.9 414.4 699.3 797.7 913.6 1200.0 87.2 : 216.7 327.2 612.1 710.5 826.5 1112.8 1200.0 303.9 : 110.5 395.4 493.8 609.7 896.1 983.3 1200.0 414.4 : 284.9 383.3 499.3 785.6 872.8 1089.5 1200.0 699.3 : 98.4 214.4 500.7 587.9 804.6 915.1 1200.0 797.7 : 115.9 402.3 489.5 706.2 816.7 1101.6 1200.0 913.6 : 286.4 373.5 590.3 700.7 985.6 1084.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 87.1605 .. 286.3600 cents 199.19950 cents 87.16054 cents 2: 214.3857 .. 402.3003 cents 187.91462 cents -71.97435 cents 3: 414.3583 .. 612.0937 cents 197.73541 cents 12.05800 cents 4: 587.9063 .. 785.6417 cents 197.73541 cents -24.18745 cents 5: 797.6997 .. 985.6143 cents 187.91463 cents 12.05800 cents 6: 913.6400 .. 1112.8395 cents 199.19950 cents -71.97435 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 87.16054 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 286.36004 cents Average / Smallest step : 1.966814 Largest / Average step : 1.670434 Largest / Smallest step : 3.285432 Median interval of one step : 115.94027 cents, amount: 1 Least squares average step : 161.46694 cents, oct.: 1130.26855 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : AECFBDG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.34389 cents Scale diversity : 1.496272 Lumma stability : 0.165364 Lumma impropriety factor : 0.140113 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 : 1.46409 cents Number of recognisable fifths : 4, average 704.1756 cents Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 197.7354 cents: 3 -- Rational properties --
FIT/MODE
7: 0 1 1 2 0 1 2 N T3 SD: 81.2153 c. M: 132.4616 c. 8: 1 1 1 2 0 1 2 N D3 SD: 38.3046 c. M:-62.8395 c. 9: 1 1 1 2 1 1 2 P M ME S SD: 27.1996 c. M:-46.1728 c. 11: 1 2 1 2 1 1 3 N T3 SD: 30.1068 c. M: 44.7088 c. 12: 1 2 1 3 1 1 3 N T3 S SD: 9.0872 c. M: 14.3583 c. 29: 2 5 3 7 2 3 7 N SD: 7.3956 c. M: 14.2350 c. 38: 3 7 3 9 3 4 9 N SD: 6.6157 c. M:-11.8993 c. 41: 3 7 4 10 3 4 10 N SD: 6.0108 c. M: 11.2072 c. 43: 3 8 4 10 4 4 10 N SD: 5.7278 c. M:-11.6026 c. 46: 3 9 4 11 4 4 11 N SD: 6.7549 c. M:-10.9960 c. 47: 3 9 4 11 4 5 11 N SD: 6.7486 c. M: 10.5648 c. 50: 4 9 4 12 4 5 12 N SD: 5.7334 c. M:-8.8395 c. 51: 4 9 5 12 4 5 12 N SD: 5.3687 c. M:-9.1711 c. 55: 4 10 5 13 5 5 13 N SD: 3.8305 c. M:-9.5730 c. 56: 4 10 5 14 4 6 13 N SD: 5.5502 c. M:-7.8886 c. 58: 4 11 5 14 5 5 14 N SD: 4.9913 c. M:-9.1969 c. 59: 4 11 5 14 5 6 14 N SD: 4.9995 c. M: 7.7288 c. 60: 4 11 6 14 5 6 14 N SD: 4.5440 c. M: 7.1605 c. 63: 5 11 6 15 5 6 15 N SD: 4.2095 c. M:-8.0776 c. 67: 5 12 6 16 6 6 16 N SD: 3.3999 c. M:-8.2705 c. 72: 5 13 7 17 6 7 17 N SD: 2.6758 c. M: 3.8901 c. 84: 6 15 8 20 7 8 20 N SD: 1.8320 c. M: 3.8901 c. 110: 8 20 10 26 9 11 26 N SD: 1.3548 c. M:-2.7237 c. 122: 9 22 11 29 10 12 29 N SD: 1.0324 c. M:-1.3640 c. 194: 14 35 18 46 16 19 46 N SD: 0.7949 c. M:-1.8240 c. 206: 15 37 19 49 17 20 49 N SD: 0.6120 c. M: 0.9775 c. 319: 23 58 29 76 26 31 76 N SD: 0.5122 c. M:-0.8121 c. 331: 24 60 30 79 27 32 79 N SD: 0.5045 c. M: 1.0653 c. 402: 29 73 37 95 33 39 96 N SD: 0.5462 c. M: 0.7468 c. 403: 29 73 37 96 33 39 96 N SD: 0.4623 c. M: 0.8082 c. 414: 30 75 38 98 34 40 99 N SD: 0.4595 c. M: 0.7035 c. 415: 30 75 38 99 34 40 99 N SD: 0.4467 c. M: 0.8643 c. 469: 34 85 43 111 39 45 112 N SD: 0.4387 c. M: 0.7468 c. 486: 35 88 45 115 40 47 116 N SD: 0.3897 c. M: 0.7408 c. 498: 36 90 46 118 41 48 119 N SD: 0.2998 c. M: 0.4591 c. 608: 44 110 56 144 50 59 145 N SD: 0.2887 c. M: 0.5701 c. 620: 45 112 57 147 51 60 148 N SD: 0.2435 c. M: 0.5446 c. 692: 50 125 64 164 57 67 165 N SD: 0.2968 c. M: 0.4553 c. 704: 51 127 65 167 58 68 168 N SD: 0.2565 c. M: 0.4810 c. 767: 56 138 71 182 63 74 183 N SD: 0.2561 c. M:-0.4535 c. 817: 59 148 75 194 67 79 195 N SD: 0.2194 c. M: 0.5020 c. 829: 60 150 76 197 68 80 198 N SD: 0.2146 c. M: 0.3656 c. 880: 64 159 81 209 72 85 210 N SD: 0.1574 c. M:-0.2912 c. 1086: 79 196 100 258 89 105 259 N SD: 0.1154 c. M:-0.1932 c. 1378: 100 249 127 327 113 133 329 N SD: 0.0863 c. M:-0.1555 c. 1500: 109 271 138 356 123 145 358 N SD: 0.0653 c. M:-0.1099 c. 1584: 115 286 146 376 130 153 378 N SD: 0.0450 c. M: 0.1022 c. 1706: 124 308 157 405 140 165 407 N SD: 0.0544 c. M:-0.0763 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: 1.3504 cents 3 x x 4 x x 5:6 S SD: 29.5538 cents 4 x x 5:6 x 7:8 S SD: 15.4905 cents 5 x 6 x x 8 x 10 S SD: 6.6136 cents 6 x 7:8:9 x 10:12 S SD: 19.2235 cents 7 x 8:9:10:11:12:14 S SD: 19.0132 cents 8 x x 10:12:13:14:16 S SD: 15.0646 cents 9:10:11 x 13:14:15:18 SD: 21.6157 cents 10:11:12:13:15:16:17:20 SD: 12.8366 cents 12:13:14:15:18:19:20:24 S SD: 10.7565 cents 13:14 x 17:19:21:22:26 SD: 13.9978 cents 14:15:17:18:21:22:24:28 SD: 7.9917 cents 16:17:19:20:24:25:27:32 SD: 6.1282 cents 19:20:23:24:28:30:32:38 SD: 6.0211 cents 20:21:24:25:30:32:34:40 SD: 4.9892 cents 22:23:26:28:33:35:37:44 SD: 3.3796 cents 36:38:43:46:54:57:61:72 SD: 1.8504 cents 56:59:67:71:84:89:95:112 SD: 1.3840 cents 77:81:92:98:115:122:131:154 SD: 1.3718 cents 78:82:93:99:117:124:132:156 SD: 0.9290 cents 99:104:118:126:148:157:168:198 SD: 0.7461 cents 115:121:137:146:172:182:195:230 SD: 0.5919 cents 151:159:180:192:226:239:256:302 SD: 0.5736 cents 155:163:185:197:232:246:263:310 SD: 0.5399 cents 171:180:204:217:256:271:290:342 SD: 0.4600 cents 177:186:211:225:265:281:300:354 SD: 0.4382 cents 193:203:230:245:289:306:327:386 SD: 0.2365 cents 229:241:273:291:343:363:388:458 SD: 0.2308 cents 292:307:348:371:437:463:495:584 SD: 0.2000 cents 406:427:484:516:608:644:688:812 SD: 0.1988 cents 422:444:503:536:632:669:715:844 SD: 0.1725 cents 444:467:529:564:665:704:753:888 SD: 0.1684 cents 485:510:578:616:726:769:822:970 SD: 0.1533 cents 506:532:603:643:758:802:858:1012 SD: 0.1476 cents 521:548:621:662:780:826:883:1042 SD: 0.1179 cents