Scala analysis: CD02_04_Egypt
Celui qui a unetaille élégante / Il m'a décoché la flèche - Darwîsh Muhammad al-Harîrî (nahawand, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 100.871 cents 100.870667 2: 313.509 cents 313.509335 3: 396.849 cents 396.849387 4: 624.857 cents 624.856751 5: 796.670 cents 796.670277 6: 907.385 cents 907.384705 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 292.6153 cents 292.6153 1: 100.8707 cents 100.8707 2: 212.6387 cents 212.6387 3: 83.3401 cents 83.3401 4: 228.0074 cents 228.0074 5: 171.8135 cents 171.8135 6: 110.7144 cents 110.7144 7: 292.6153 cents 292.6153
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 83.34005 cents 1: 1 100.87067 cents 1: 1 110.71443 cents 1: 1 171.81353 cents 1: 1 212.63867 cents 1: 1 228.00736 cents 1: 1 292.61530 cents 2: 1 282.52795 cents 2: 1 295.97872 cents 2: 1 311.34742 cents 2: 1 313.50933 cents 2: 1 393.48596 cents 2: 1 399.82089 cents 2: 1 403.32972 cents 3: 1 396.84939 cents 3: 1 483.16094 cents 3: 1 504.20039 cents 3: 1 510.53532 cents 3: 1 523.98608 cents 3: 1 575.14325 cents 3: 1 606.12463 cents 4: 1 593.87537 cents 4: 1 624.85675 cents 4: 1 676.01392 cents 4: 1 689.46468 cents 4: 1 695.79961 cents 4: 1 716.83906 cents 4: 1 803.15061 cents 5: 1 796.67028 cents 5: 1 800.17911 cents 5: 1 806.51404 cents 5: 1 886.49067 cents 5: 1 888.65258 cents 5: 1 904.02128 cents 5: 1 917.47205 cents 6: 1 907.38471 cents 6: 1 971.99264 cents 6: 1 987.36133 cents 6: 1 1028.18647 cents 6: 1 1089.28557 cents 6: 1 1099.12933 cents 6: 1 1116.65995 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 : 100.9 313.5 396.8 624.9 796.7 907.4 1200.0 100.9 : 212.6 296.0 524.0 695.8 806.5 1099.1 1200.0 313.5 : 83.3 311.3 483.2 593.9 886.5 987.4 1200.0 396.8 : 228.0 399.8 510.5 803.2 904.0 1116.7 1200.0 624.9 : 171.8 282.5 575.1 676.0 888.7 972.0 1200.0 796.7 : 110.7 403.3 504.2 716.8 800.2 1028.2 1200.0 907.4 : 292.6 393.5 606.1 689.5 917.5 1089.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 83.3401 .. 292.6153 cents 209.27524 cents 83.34005 cents 2: 282.5280 .. 403.3297 cents 120.80177 cents -10.08734 cents 3: 396.8494 .. 606.1246 cents 209.27524 cents -6.48034 cents 4: 593.8754 .. 803.1506 cents 209.27524 cents -12.24926 cents 5: 796.6703 .. 917.4720 cents 120.80177 cents -6.48034 cents 6: 907.3847 .. 1116.6599 cents 209.27524 cents -10.08734 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 83.34005 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 292.61530 cents Average / Smallest step : 2.056977 Largest / Average step : 1.706923 Largest / Smallest step : 3.511100 Median interval of one step : 171.81353 cents, amount: 1 Least squares average step : 158.89660 cents, oct.: 1112.27621 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : BEAFDCG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.97150 cents Scale diversity : 1.587018 Lumma stability : 0.138900 Lumma impropriety factor : 0.037821 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 : 2.16192 cents Number of recognisable fifths : 3, average 700.7011 cents Number of appreciable fifths : 2, average 692.6321 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 0 1 1 1 1 1 2 N T3 SD: 92.8427 c. M: 142.0808 c. 8: 1 1 1 1 1 1 2 P M ME S SD: 34.3754 c. M:-53.1506 c. 9: 1 1 1 2 1 1 2 P M ME S SD: 28.5118 c. M: 46.8427 c. 11: 1 2 1 2 1 1 3 N T3 SD: 26.7052 c. M:-39.5142 c. 12: 1 2 1 2 2 1 3 P D3 SD: 11.1910 c. M: 24.8568 c. Ultralocrian, Superlocrian Diminished, Mixolydian sharp 1 23: 2 4 2 4 3 2 6 N SD: 12.2523 c. M:-20.5419 c. 27: 2 5 2 5 4 2 7 N SD: 8.6136 c. M: 18.4958 c. 31: 3 5 2 6 5 2 8 N SD: 11.5109 c. M: 17.0621 c. 33: 3 6 2 6 5 3 8 N SD: 6.8189 c. M:-13.7634 c. 36: 3 6 3 7 5 3 9 N SD: 6.8729 c. M: 13.5093 c. 42: 4 7 3 8 6 4 10 P SD: 6.1296 c. M:-13.4150 c. 45: 4 8 3 8 7 4 11 N SD: 5.7326 c. M: 11.5234 c. 46: 4 8 3 9 7 4 11 N SD: 5.6214 c. M:-12.0254 c. 48: 4 9 3 9 7 4 12 N SD: 5.4558 c. M:-11.4907 c. 50: 4 9 4 9 7 5 12 P SD: 5.2669 c. M:-11.1506 c. 51: 4 9 4 10 7 5 12 P SD: 6.9595 c. M:-10.4374 c. 54: 5 9 4 10 8 5 13 P SD: 4.6669 c. M:-10.2404 c. 57: 5 10 4 11 8 5 14 N SD: 3.6877 c. M:-6.7222 c. 69: 6 12 5 13 10 6 17 N SD: 2.5088 c. M:-3.4772 c. 106: 9 19 7 20 15 10 26 N SD: 2.3647 c. M: 4.2174 c. 107: 9 19 7 21 15 10 26 N SD: 2.0810 c. M: 4.3260 c. 115: 10 20 8 22 16 11 28 N SD: 1.9740 c. M: 3.6268 c. 119: 10 21 8 23 17 11 29 N SD: 1.4008 c. M: 3.5721 c. 123: 10 22 9 23 18 11 30 N SD: 2.2012 c. M:-3.3297 c. 127: 11 22 9 24 18 12 31 N SD: 1.8015 c. M:-3.0663 c. 130: 11 23 9 25 18 12 32 N SD: 1.8613 c. M:-2.8356 c. 131: 11 23 9 25 19 12 32 N SD: 1.5656 c. M: 2.9563 c. 142: 12 25 10 27 20 13 35 N SD: 1.5414 c. M: 3.1594 c. 152: 13 27 10 29 22 14 37 N SD: 1.4582 c. M:-2.2801 c. 157: 13 28 11 30 22 15 38 N SD: 1.4177 c. M:-2.1694 c. 169: 14 30 12 32 24 16 41 N SD: 1.0771 c. M:-1.4910 c. 188: 16 33 13 36 27 17 46 N SD: 0.9455 c. M:-1.2570 c. 226: 19 40 16 43 32 21 55 N SD: 0.8623 c. M:-1.6919 c. 238: 20 42 17 45 34 22 58 N SD: 0.6694 c. M:-1.4699 c. 288: 24 51 20 55 41 27 70 N SD: 0.7955 c. M: 1.0161 c. 309: 26 55 21 59 44 29 75 N SD: 0.7506 c. M:-1.3532 c. 321: 27 57 22 61 46 30 78 N SD: 0.5530 c. M:-1.0265 c. 336: 28 60 23 64 48 31 82 N SD: 0.4892 c. M: 0.8707 c. 348: 29 62 24 66 50 32 85 N SD: 0.4923 c. M: 0.8707 c. 357: 30 63 25 68 51 33 87 N SD: 0.3819 c. M: 0.9043 c. 378: 32 67 26 72 54 35 92 N SD: 0.4982 c. M:-0.7764 c. 390: 33 69 27 74 56 36 95 N SD: 0.3342 c. M:-0.6678 c. 524: 44 93 36 100 75 48 128 N SD: 0.3706 c. M: 0.6662 c. 532: 45 94 37 101 76 49 130 N SD: 0.3761 c. M:-0.6331 c. 536: 45 95 37 102 77 49 131 N SD: 0.3736 c. M: 0.6683 c. 559: 47 99 39 106 80 52 136 N SD: 0.2989 c. M:-0.6654 c. 574: 48 102 40 109 82 53 140 N SD: 0.2652 c. M: 0.5222 c. 690: 58 122 48 131 99 64 168 N SD: 0.3381 c. M: 0.5089 c. 693: 58 123 48 132 99 64 169 N SD: 0.2327 c. M: 0.4378 c. 705: 59 125 49 134 101 65 172 N SD: 0.2457 c. M: 0.4451 c. 726: 61 129 50 138 104 67 177 N SD: 0.2156 c. M:-0.5403 c. 747: 63 132 52 142 107 69 182 N SD: 0.1917 c. M:-0.3342 c. 895: 75 159 62 170 128 83 218 N SD: 0.2142 c. M:-0.3248 c. 926: 78 164 64 176 133 85 226 N SD: 0.2272 c. M:-0.3060 c. 931: 78 165 65 177 133 86 227 N SD: 0.2103 c. M: 0.3336 c. 964: 81 171 67 183 138 89 235 N SD: 0.1223 c. M:-0.2460 c. 1083: 91 192 75 206 155 100 264 N SD: 0.0847 c. M: 0.1735 c. 1095: 92 194 76 208 157 101 267 N SD: 0.1000 c. M: 0.1992 c. 1321: 111 234 92 251 189 122 322 N SD: 0.0895 c. M:-0.1243 c. 1669: 140 296 116 317 239 154 407 N SD: 0.0848 c. M: 0.2116 c. 1711: 144 303 119 325 245 158 417 N SD: 0.0898 c. M:-0.1547 c. 1857: 156 329 129 353 266 171 453 N SD: 0.0793 c. M: 0.1149 c. 2047: 172 363 142 389 293 189 499 N SD: 0.0634 c. M:-0.1204 c. 2059: 173 365 143 391 295 190 502 N SD: 0.0478 c. M: 0.0874 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: 38.5491 cents 3 x x 4 x x 5:6 S SD: 34.5941 cents 4 x x 5:6 x 7:8 S SD: 24.7868 cents 5 x 6 x 7:8 x 10 S SD: 11.4213 cents 6 x 7:8:9 x 10:12 S SD: 27.4882 cents 7 x 8:9:10:11:12:14 S SD: 15.9505 cents 8:9 x 10:11:13:14:16 SD: 24.6275 cents 9:10:11 x 13:14:15:18 SD: 16.2221 cents 10:11:12:13:14:16:17:20 SD: 14.0100 cents 11:12:13:14:16:17:19:22 SD: 12.3053 cents 12:13:14:15:17:19:20:24 SD: 9.8112 cents 13:14 x 16:19:21:22:26 SD: 10.9557 cents 14:15:17:18:20:22:24:28 SD: 8.1273 cents 15:16:18:19:22:24:25:30 SD: 7.2203 cents 16:17:19:20:23:25:27:32 SD: 4.4621 cents 19:20:23:24:27:30:32:38 SD: 4.1215 cents 30:32:36:38:43:48:51:60 SD: 3.7661 cents 31:33:37:39:44:49:52:62 SD: 3.5264 cents 32:34:38:40:46:51:54:64 SD: 3.2021 cents 34:36:41:43:49:54:57:68 SD: 3.0487 cents 35:37:42:44:50:55:59:70 SD: 2.4467 cents 46:49:55:58:66:73:78:92 SD: 1.8301 cents 51:54:61:64:73:81:86:102 SD: 1.2106 cents 81:86:97:102:116:128:137:162 SD: 1.0178 cents 96:102:115:121:138:152:162:192 SD: 0.9831 cents 97:103:116:122:139:154:164:194 SD: 0.9471 cents 101:107:121:127:145:160:171:202 SD: 0.6466 cents 132:140:158:166:189:209:223:264 SD: 0.6273 cents 147:156:176:185:211:233:248:294 SD: 0.5309 cents 151:160:181:190:217:239:255:302 SD: 0.5107 cents 152:161:182:191:218:241:257:304 SD: 0.4929 cents 166:176:199:209:238:263:280:332 SD: 0.4645 cents 186:197:223:234:267:295:314:372 SD: 0.3950 cents 202:214:242:254:290:320:341:404 SD: 0.2769 cents 267:283:320:336:383:423:451:534 SD: 0.1637 cents 469:497:562:590:673:743:792:938 SD: 0.1303 cents