Scala analysis: CD06_08_Egypt
Elles sont douces les grenades de son pays - Muhammad Awad Al-Arabî (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 136.643 cents 136.643107 2: 287.089 cents 287.088857 3: 471.572 cents 471.572413 4: 680.658 cents 680.657803 5: 853.412 cents 853.411698 6: 974.119 cents 974.118997 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 225.8810 cents 225.8810 1: 136.6431 cents 136.6431 2: 150.4457 cents 150.4457 3: 184.4836 cents 184.4836 4: 209.0854 cents 209.0854 5: 172.7539 cents 172.7539 6: 120.7073 cents 120.7073 7: 225.8810 cents 225.8810
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 120.70730 cents 1: 1 136.64311 cents 1: 1 150.44575 cents 1: 1 172.75389 cents 1: 1 184.48356 cents 1: 1 209.08539 cents 1: 1 225.88100 cents 2: 1 287.08886 cents 2: 1 293.46119 cents 2: 1 334.92931 cents 2: 1 346.58830 cents 2: 1 362.52411 cents 2: 1 381.83929 cents 2: 1 393.56895 cents 3: 1 471.57241 cents 3: 1 483.23141 cents 3: 1 502.54658 cents 3: 1 512.96986 cents 3: 1 519.34220 cents 3: 1 544.01470 cents 3: 1 566.32284 cents 4: 1 633.67716 cents 4: 1 655.98530 cents 4: 1 680.65780 cents 4: 1 687.03014 cents 4: 1 697.45342 cents 4: 1 716.76859 cents 4: 1 728.42759 cents 5: 1 806.43105 cents 5: 1 818.16071 cents 5: 1 837.47589 cents 5: 1 853.41170 cents 5: 1 865.07069 cents 5: 1 906.53881 cents 5: 1 912.91114 cents 6: 1 974.11900 cents 6: 1 990.91461 cents 6: 1 1015.51644 cents 6: 1 1027.24611 cents 6: 1 1049.55425 cents 6: 1 1063.35689 cents 6: 1 1079.29270 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 : 136.6 287.1 471.6 680.7 853.4 974.1 1200.0 136.6 : 150.4 334.9 544.0 716.8 837.5 1063.4 1200.0 287.1 : 184.5 393.6 566.3 687.0 912.9 1049.6 1200.0 471.6 : 209.1 381.8 502.5 728.4 865.1 1015.5 1200.0 680.7 : 172.8 293.5 519.3 656.0 806.4 990.9 1200.0 853.4 : 120.7 346.6 483.2 633.7 818.2 1027.2 1200.0 974.1 : 225.9 362.5 513.0 697.5 906.5 1079.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 120.7073 .. 225.8810 cents 105.17370 cents 120.70730 cents 2: 287.0889 .. 393.5689 cents 106.48009 cents 61.20785 cents 3: 471.5724 .. 566.3228 cents 94.75043 cents 78.00347 cents 4: 633.6772 .. 728.4276 cents 94.75043 cents 67.35432 cents 5: 806.4311 .. 912.9111 cents 106.48009 cents 78.00347 cents 6: 974.1190 .. 1079.2927 cents 105.17370 cents 61.20785 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 120.70730 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 225.88100 cents Average / Smallest step : 1.420201 Largest / Average step : 1.317639 Largest / Smallest step : 1.871312 Median interval of one step : 172.75389 cents, amount: 1 Least squares average step : 166.85673 cents, oct.: 1167.99709 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : BCEFDAG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 61.20785 cents Scale diversity : 1.583253 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.489326 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 : 6.37234 cents Number of recognisable fifths : 3, average 700.4174 cents Number of appreciable fifths : 1, average 697.4534 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 36.1527 c. M:-55.7683 c. Lebeng 10: 1 1 2 2 1 1 2 P D3 S SD: 25.3332 c. M: 47.0889 c. 11: 1 2 1 2 2 1 2 P M ME S SD: 25.9883 c. M:-40.1839 c. 13: 1 2 2 2 2 1 3 P D3 S SD: 30.4212 c. M: 51.0421 c. 14: 1 2 2 3 2 1 3 P T3 SD: 30.1340 c. M: 50.9288 c. 16: 2 2 2 3 2 2 3 SP M ME S SD: 15.3552 c. M: 28.4117 c. Antilydian 17: 2 2 3 3 2 2 3 SP D3 S SD: 14.2787 c. M:-25.2245 c. 20: 2 3 3 3 3 2 4 SP D3 S SD: 13.7357 c. M: 20.6578 c. 21: 2 3 3 4 3 2 4 SP T3 SD: 10.3970 c. M: 22.3574 c. 25: 3 3 4 4 4 2 5 SP SD: 8.5557 c. M: 14.1190 c. 28: 3 4 4 5 4 3 5 SP T3 SD: 7.6140 c. M:-12.9111 c. 37: 4 5 6 6 5 4 7 SP S SD: 7.5421 c. M:-14.9141 c. 38: 4 5 6 7 5 4 7 SP SD: 6.9851 c. M:-14.0790 c. 41: 5 5 6 7 6 4 8 SP SD: 6.3463 c. M:-9.6984 c. 42: 5 5 7 7 6 4 8 SP SD: 6.4056 c. M:-14.1419 c. 46: 5 6 7 8 7 4 9 SP SD: 5.1157 c. M: 8.9016 c. 51: 6 6 8 9 7 5 10 SP SD: 5.0112 c. M: 9.4131 c. 53: 6 7 8 9 8 5 10 SP SD: 4.1267 c. M:-7.2508 c. 62: 7 8 9 11 9 6 12 SP SD: 4.0705 c. M: 7.0563 c. 63: 7 8 10 11 9 6 12 SP SD: 3.3995 c. M:-5.0565 c. 76: 9 9 12 13 11 8 14 SP SD: 3.1493 c. M:-5.4622 c. 79: 9 10 12 14 11 8 15 SP SD: 1.8010 c. M:-2.8865 c. 97: 11 12 15 17 14 10 18 SP SD: 1.6619 c. M:-3.2006 c. 122: 14 15 19 21 18 12 23 SP SD: 1.4266 c. M:-2.3260 c. 150: 17 19 23 26 22 15 28 SP SD: 1.3146 c. M:-2.5883 c. 159: 18 20 24 28 23 16 30 SP SD: 1.5420 c. M: 3.6479 c. 160: 18 20 25 28 23 16 30 SP SD: 1.4450 c. M: 2.0889 c. 166: 19 21 25 29 24 17 31 SP SD: 1.3247 c. M:-2.0678 c. 176: 20 22 27 31 25 18 33 SP SD: 0.8680 c. M:-1.1604 c. 201: 23 25 31 35 29 20 38 SP SD: 0.5073 c. M: 0.9847 c. 229: 26 29 35 40 33 23 43 SP SD: 0.6077 c. M:-1.1207 c. 298: 34 37 46 52 43 30 56 SP SD: 0.5201 c. M: 1.1828 c. 351: 40 44 54 61 51 35 66 SP SD: 0.5195 c. M:-1.2892 c. 367: 42 46 56 64 53 37 69 SP SD: 0.5065 c. M: 0.7277 c. 377: 43 47 58 66 54 38 71 SP SD: 0.3909 c. M: 0.6167 c. 430: 49 54 66 75 62 43 81 SP SD: 0.2760 c. M:-0.5418 c. 527: 60 66 81 92 76 53 99 SP SD: 0.2804 c. M:-0.4782 c. 606: 69 76 93 106 87 61 114 SP SD: 0.2349 c. M:-0.5303 c. 631: 72 79 97 110 91 63 119 SP SD: 0.2726 c. M:-0.4710 c. 695: 79 87 107 121 100 70 131 SP SD: 0.3306 c. M: 0.4702 c. 702: 80 88 108 122 101 71 132 SP SD: 0.2401 c. M: 0.4202 c. 728: 83 91 112 127 105 73 137 SP SD: 0.2171 c. M:-0.4345 c. 807: 92 101 124 141 116 81 152 SP SD: 0.1910 c. M:-0.3831 c. 862: 98 108 133 150 124 87 162 SP SD: 0.2415 c. M:-0.3590 c. 903: 103 113 139 157 130 91 170 SP SD: 0.1796 c. M: 0.2591 c. 924: 105 116 142 161 133 93 174 SP SD: 0.1510 c. M: 0.2795 c. 1125: 128 141 173 196 162 113 212 SP SD: 0.1377 c. M: 0.2523 c. 1132: 129 142 174 197 163 114 213 SP SD: 0.1144 c. M:-0.1903 c. 1308: 149 164 201 228 188 132 246 SP SD: 0.1140 c. M: 0.2007 c. 1333: 152 167 205 232 192 134 251 SP SD: 0.1055 c. M:-0.1911 c. 1354: 154 170 208 236 195 136 255 SP SD: 0.0865 c. M: 0.1586 c. 1430: 163 179 220 249 206 144 269 SP SD: 0.0938 c. M:-0.1467 c. 1509: 172 189 232 263 217 152 284 SP SD: 0.0762 c. M:-0.1362 c. 1738: 198 218 267 303 250 175 327 SP SD: 0.0846 c. M:-0.1378 c. 1860: 212 233 286 324 268 187 350 SP SD: 0.0786 c. M:-0.1367 c. 1939: 221 243 298 338 279 195 365 SP SD: 0.0686 c. M:-0.1284 c. 2056: 234 258 316 358 296 207 387 SP SD: 0.0694 c. M: 0.1131 c. 2257: 257 283 347 393 325 227 425 SP SD: 0.0586 c. M: 0.1084 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: 10.6486 cents 3 x x 4 x 5 x 6 S SD: 13.5750 cents 4 x x 5:6 x 7:8 S SD: 22.0094 cents 5 x 6 x 7:8:9:10 S SD: 23.5934 cents 6 x 7:8:9:10:11:12 S SD: 15.0762 cents 7 x 8:9:10:11:12:14 S SD: 20.5197 cents 8:9 x 11:12:13:14:16 SD: 17.8977 cents 9:10:11:12:13:15:16:18 SD: 14.1517 cents 10:11:12:13:15:16:18:20 SD: 10.9198 cents 11:12:13:14:16:18:19:22 SD: 10.0267 cents 12:13:14:16:18:20:21:24 S SD: 7.2176 cents 16:17:19:21:24:26:28:32 SD: 5.9949 cents 22:24:26:29:33:36:39:44 SD: 4.4945 cents 23:25:27:30:34:38:40:46 SD: 4.0622 cents 33:36:39:43:49:54:58:66 SD: 2.8473 cents 38:41:45:50:56:62:67:76 SD: 2.2633 cents 48:52:57:63:71:79:84:96 SD: 2.1836 cents 49:53:58:64:73:80:86:98 SD: 2.1266 cents 50:54:59:66:74:82:88:100 SD: 1.6164 cents 60:65:71:79:89:98:105:120 SD: 1.3752 cents 61:66:72:80:90:100:107:122 SD: 1.1536 cents 77:83:91:101:114:126:135:154 SD: 1.1083 cents 83:90:98:109:123:136:146:166 SD: 0.7594 cents 99:107:117:130:147:162:174:198 SD: 0.7593 cents 121:131:143:159:179:198:212:242 SD: 0.7194 cents 122:132:144:160:181:200:214:244 SD: 0.5857 cents 156:169:184:205:231:255:274:312 SD: 0.5793 cents 160:173:189:210:237:262:281:320 SD: 0.3321 cents 243:263:287:319:360:398:427:486 SD: 0.3277 cents 245:265:289:322:363:401:430:490 SD: 0.3071 cents 278:301:328:365:412:455:488:556 SD: 0.1995 cents 355:384:419:466:526:581:623:710 SD: 0.1628 cents 438:474:517:575:649:717:769:876 SD: 0.0827 cents