Scala analysis: CD09_10_Egypt
Recommande notre secours aux buveurs des tavernes / Qui donc a enseigné ? / Ô inconscient - La Confrérie Laythiyya (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 82.479 cents 82.479412 2: 309.938 cents 309.938278 3: 606.843 cents 606.843487 4: 787.824 cents 787.823694 5: 916.799 cents 916.798856 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 283.2011 cents 283.2011 1: 82.4794 cents 82.4794 2: 227.4589 cents 227.4589 3: 296.9052 cents 296.9052 4: 180.9802 cents 180.9802 5: 128.9752 cents 128.9752 6: 283.2011 cents 283.2011
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 82.47941 cents 1: 1 128.97516 cents 1: 1 180.98021 cents 1: 1 227.45887 cents 1: 1 283.20114 cents 1: 1 296.90521 cents 2: 1 309.93828 cents 2: 1 309.95537 cents 2: 1 365.68056 cents 2: 1 412.17631 cents 2: 1 477.88542 cents 2: 1 524.36408 cents 3: 1 494.65572 cents 3: 1 593.13942 cents 3: 1 593.15651 cents 3: 1 606.84349 cents 3: 1 606.86058 cents 3: 1 705.34428 cents 4: 1 675.63592 cents 4: 1 722.11458 cents 4: 1 787.82369 cents 4: 1 834.31944 cents 4: 1 890.04463 cents 4: 1 890.06172 cents 5: 1 903.09479 cents 5: 1 916.79886 cents 5: 1 972.54113 cents 5: 1 1019.01979 cents 5: 1 1071.02484 cents 5: 1 1117.52059 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 : 82.5 309.9 606.8 787.8 916.8 1200.0 82.5 : 227.5 524.4 705.3 834.3 1117.5 1200.0 309.9 : 296.9 477.9 606.9 890.1 972.5 1200.0 606.8 : 181.0 310.0 593.2 675.6 903.1 1200.0 787.8 : 129.0 412.2 494.7 722.1 1019.0 1200.0 916.8 : 283.2 365.7 593.1 890.0 1071.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 82.4794 .. 296.9052 cents 214.42580 cents 82.47941 cents 2: 309.9383 .. 524.3641 cents 214.42580 cents 13.03307 cents 3: 494.6557 .. 705.3443 cents 210.68856 cents -29.70836 cents 4: 675.6359 .. 890.0617 cents 214.42580 cents -29.70836 cents 5: 903.0948 .. 1117.5206 cents 214.42580 cents 13.03307 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 82.47941 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 296.90521 cents Average / Smallest step : 2.424848 Largest / Average step : 1.484526 Largest / Smallest step : 3.599749 Median interval of one step : 204.21954 cents, amount: 0 Least squares average step : 191.84808 cents, oct.: 1151.08849 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : ADFCBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 13.03307 cents Scale diversity : 1.722770 Lumma stability : 0.159187 Lumma impropriety factor : 0.049514 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 : 0.01709 cents Number of recognisable fifths : 1, average 705.3443 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 0 2 1 1 1 1 N T3 SD: 60.5963 c. M:-90.0617 c. 8: 0 2 2 1 1 2 N T3 SD: 37.9941 c. M: 82.4794 c. 9: 1 1 3 1 1 2 N D3 SD: 37.5478 c. M:-59.8232 c. 11: 1 2 3 1 1 3 N SD: 31.1220 c. M:-47.7020 c. 12: 1 2 3 2 1 3 P T3 SD: 12.1315 c. M:-17.5206 c. 20: 1 4 5 3 2 5 N SD: 12.8733 c. M: 22.4794 c. 26: 2 5 6 4 3 6 P SD: 7.8077 c. M:-13.1386 c. 30: 2 6 7 5 3 7 N SD: 7.2195 c. M:-12.1763 c. 34: 2 7 8 5 4 8 N SD: 7.9296 c. M: 11.8912 c. 38: 3 7 9 6 4 9 P SD: 6.2591 c. M:-12.2574 c. 42: 3 8 10 7 4 10 N SD: 6.2018 c. M:-12.1763 c. 43: 3 8 11 6 5 10 N SD: 4.4583 c. M:-7.1100 c. 46: 3 9 11 7 5 11 N SD: 4.3888 c. M: 6.8435 c. 47: 3 9 12 7 5 11 N SD: 4.1088 c. M:-5.9225 c. 55: 4 10 14 8 6 13 N SD: 3.3018 c. M:-4.7933 c. 58: 4 11 14 9 6 14 N SD: 3.9018 c. M: 6.8435 c. 59: 4 11 15 9 6 14 N SD: 3.3514 c. M:-5.3966 c. 73: 5 14 18 11 8 17 N SD: 1.9675 c. M:-3.7491 c. 85: 6 16 21 13 9 20 N SD: 1.5159 c. M:-2.7645 c. 105: 7 20 26 16 11 25 N SD: 1.6414 c. M: 2.5131 c. 119: 8 23 29 18 13 28 N SD: 1.6306 c. M:-2.6668 c. 128: 9 24 32 19 14 30 N SD: 1.5401 c. M:-2.5315 c. 131: 9 25 32 20 14 31 N SD: 1.1549 c. M: 2.2633 c. 148: 10 28 37 22 16 35 N SD: 1.2269 c. M: 1.8302 c. 158: 11 30 39 24 17 37 N SD: 1.4608 c. M:-2.1885 c. 160: 11 30 40 24 17 38 N SD: 1.2726 c. M: 2.4383 c. 174: 12 33 43 26 19 41 N SD: 0.7137 c. M: 1.6168 c. 178: 12 34 44 27 19 42 N SD: 0.7557 c. M: 1.5805 c. 186: 13 35 46 28 20 44 N SD: 0.7229 c. M:-1.3916 c. 216: 15 41 53 33 23 51 N SD: 0.9051 c. M: 1.2879 c. 221: 15 42 55 33 24 52 N SD: 0.8073 c. M:-1.3013 c. 233: 16 44 58 35 25 55 N SD: 0.5274 c. M: 0.9254 c. 259: 18 49 64 39 28 61 N SD: 0.4924 c. M:-0.9183 c. 279: 19 53 69 42 30 66 N SD: 0.5439 c. M: 0.7590 c. 352: 24 67 87 53 38 83 N SD: 0.3384 c. M: 0.6612 c. 364: 25 69 90 55 39 86 N SD: 0.1712 c. M: 0.3153 c. 623: 43 118 154 94 67 147 N SD: 0.1652 c. M:-0.3456 c. 771: 53 146 191 116 83 182 N SD: 0.1583 c. M: 0.2751 c. 801: 55 152 198 121 86 189 N SD: 0.1205 c. M:-0.1913 c. 902: 62 171 223 136 97 213 N SD: 0.1442 c. M: 0.2405 c. 949: 65 180 235 143 102 224 N SD: 0.1405 c. M: 0.2876 c. 975: 67 185 241 147 105 230 N SD: 0.1190 c. M:-0.2156 c. 987: 68 187 244 149 106 233 N SD: 0.1141 c. M:-0.1954 c. 1034: 71 196 256 156 111 244 N SD: 0.1009 c. M:-0.1840 c. 1135: 78 215 281 171 122 268 N SD: 0.1102 c. M: 0.1585 c. 1165: 80 221 288 176 125 275 N SD: 0.1062 c. M:-0.1591 c. 1208: 83 229 299 182 130 285 N SD: 0.0665 c. M:-0.1102 c. 1572: 108 298 389 237 169 371 N SD: 0.0248 c. M: 0.0374 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 42.9343 cents 3 x x 4 x 5:6 S SD: 37.8439 cents 4 x 5 x 6:7:8 S SD: 31.5371 cents 5 x 6:7:8:9:10 S SD: 21.4042 cents 6 x 7 x 9:10:12 SD: 25.3483 cents 7 x 8:10:11:12:14 S SD: 16.2631 cents 8 x 10:11:13:14:16 SD: 24.0007 cents 9:10:11:13:14:15:18 SD: 19.6161 cents 10:11:12:14:16:17:20 SD: 15.0066 cents 12:13:14:17:19:20:24 SD: 13.0471 cents 14:15:17:20:22:24:28 SD: 8.2675 cents 16:17:19:23:25:27:32 SD: 6.3886 cents 17:18:20:24:27:29:34 SD: 6.2751 cents 19:20:23:27:30:32:38 SD: 4.3756 cents 21:22:25:30:33:36:42 SD: 3.6426 cents 26:27:31:37:41:44:52 SD: 3.2306 cents 36:38:43:51:57:61:72 SD: 2.4629 cents 40:42:48:57:63:68:80 SD: 1.5061 cents 62:65:74:88:98:105:124 SD: 1.2843 cents 76:80:91:108:120:129:152 SD: 1.2378 cents 83:87:99:118:131:141:166 SD: 0.9748 cents 102:107:122:145:161:173:204 SD: 0.6444 cents 143:150:171:203:225:243:286 SD: 0.5619 cents 179:188:214:254:282:304:358 SD: 0.4851 cents 203:213:243:288:320:345:406 SD: 0.4163 cents 205:215:245:291:323:348:410 SD: 0.2840 cents 229:240:274:325:361:389:458 SD: 0.2802 cents 245:257:293:348:386:416:490 SD: 0.1984 cents 408:428:488:579:643:693:816 SD: 0.1737 cents 434:455:519:616:684:737:868 SD: 0.1601 cents 474:497:567:673:747:805:948 SD: 0.1043 cents 510:535:610:724:804:866:1020 SD: 0.0870 cents