Scala analysis: CD09_14_Egypt
L'homme au miroir - Fâtima Al-Shâmiyya (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 133.774 cents 133.774370 2: 273.590 cents 273.589793 3: 506.317 cents 506.317099 4: 822.629 cents 822.628916 5: 973.411 cents 973.411101 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 226.5889 cents 226.5889 1: 133.7744 cents 133.7744 2: 139.8154 cents 139.8154 3: 232.7273 cents 232.7273 4: 316.3118 cents 316.3118 5: 150.7822 cents 150.7822 6: 226.5889 cents 226.5889
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 133.77437 cents 1: 1 139.81542 cents 1: 1 150.78218 cents 1: 1 226.58890 cents 1: 1 232.72731 cents 1: 1 316.31182 cents 2: 1 273.58979 cents 2: 1 360.36327 cents 2: 1 372.54273 cents 2: 1 377.37108 cents 2: 1 467.09400 cents 2: 1 549.03912 cents 3: 1 500.17869 cents 3: 1 506.31710 cents 3: 1 511.14545 cents 3: 1 688.85455 cents 3: 1 693.68290 cents 3: 1 699.82131 cents 4: 1 650.96088 cents 4: 1 732.90600 cents 4: 1 822.62892 cents 4: 1 827.45727 cents 4: 1 839.63673 cents 4: 1 926.41021 cents 5: 1 883.68818 cents 5: 1 967.27269 cents 5: 1 973.41110 cents 5: 1 1049.21782 cents 5: 1 1060.18458 cents 5: 1 1066.22563 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 : 133.8 273.6 506.3 822.6 973.4 1200.0 133.8 : 139.8 372.5 688.9 839.6 1066.2 1200.0 273.6 : 232.7 549.0 699.8 926.4 1060.2 1200.0 506.3 : 316.3 467.1 693.7 827.5 967.3 1200.0 822.6 : 150.8 377.4 511.1 651.0 883.7 1200.0 973.4 : 226.6 360.4 500.2 732.9 1049.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 133.7744 .. 316.3118 cents 182.53745 cents 133.77437 cents 2: 273.5898 .. 549.0391 cents 275.44933 cents -42.72202 cents 3: 500.1787 .. 699.8213 cents 199.64262 cents -48.86043 cents 4: 650.9609 .. 926.4102 cents 275.44933 cents -48.86043 cents 5: 883.6882 .. 1066.2256 cents 182.53745 cents -42.72202 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 133.77437 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 316.31182 cents Average / Smallest step : 1.495055 Largest / Average step : 1.581559 Largest / Smallest step : 2.364517 Median interval of one step : 188.68554 cents, amount: 0 Least squares average step : 192.93930 cents, oct.: 1157.63581 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : ABEFCD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 33.08469 cents Scale diversity : 1.543955 Lumma stability : 0.222957 Lumma impropriety factor : 0.152637 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 : 4.82835 cents Number of recognisable fifths : 3, average 694.1196 cents Number of appreciable fifths : 2, average 696.7521 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 2 1 1 1 N T3 SD: 57.4410 c. M:-93.6829 c. 7: 1 1 1 2 1 1 P M ME SD: 41.8592 c. M:-69.2673 c. 9: 1 1 2 2 1 2 P D3 SD: 21.9708 c. M: 40.0778 c. 10: 1 1 2 3 1 2 N SD: 20.3806 c. M: 33.5898 c. 16: 2 2 3 4 2 3 P SD: 14.8210 c. M:-26.4102 c. 17: 2 2 3 5 2 3 N SD: 13.5215 c. M:-24.4299 c. 21: 2 3 4 5 3 4 P SD: 13.5788 c. M: 22.6289 c. 22: 2 3 4 6 3 4 N SD: 12.5025 c. M: 24.6835 c. 25: 3 3 5 6 3 5 P SD: 12.9497 c. M:-21.6829 c. 26: 3 3 5 7 3 5 N SD: 4.4481 c. M:-8.1403 c. 47: 5 6 9 12 6 9 N SD: 5.0077 c. M:-7.2613 c. 48: 5 6 9 13 6 9 N SD: 4.6013 c. M: 8.7744 c. 54: 6 6 11 14 7 10 N SD: 3.8803 c. M: 6.9231 c. 57: 6 7 11 15 7 11 N SD: 3.7447 c. M: 7.4586 c. 60: 7 7 11 16 8 11 N SD: 5.3242 c. M:-6.5889 c. 61: 7 7 12 16 8 11 N SD: 5.2007 c. M:-10.1955 c. 62: 7 7 12 16 8 12 N SD: 4.9343 c. M: 9.7257 c. 64: 7 8 12 17 8 12 N SD: 3.4929 c. M:-7.6602 c. 69: 8 8 13 18 9 13 N SD: 3.6984 c. M:-5.3561 c. 70: 8 8 14 18 9 13 N SD: 3.8581 c. M:-7.9686 c. 73: 8 9 14 19 9 14 N SD: 3.2483 c. M:-5.8623 c. 74: 8 9 14 20 9 14 N SD: 2.9807 c. M:-4.3981 c. 79: 9 9 15 21 10 15 N SD: 2.6263 c. M: 5.0513 c. 80: 9 9 16 21 10 15 N SD: 2.4529 c. M:-3.6829 c. 105: 12 12 20 28 13 20 N SD: 2.1519 c. M: 3.4600 c. 106: 12 12 21 28 13 20 N SD: 2.3081 c. M:-3.7862 c. 111: 12 13 22 29 14 21 N SD: 2.3019 c. M: 4.0446 c. 117: 13 14 22 31 15 22 N SD: 2.2645 c. M: 3.7530 c. 118: 13 14 23 31 15 22 N SD: 1.7071 c. M:-2.8601 c. 128: 14 15 25 34 16 24 N SD: 1.7061 c. M: 2.5244 c. 133: 15 15 26 35 17 25 N SD: 1.6113 c. M: 2.9131 c. 137: 15 16 27 36 17 26 N SD: 1.5659 c. M: 2.3875 c. 144: 16 17 28 38 18 27 N SD: 1.5489 c. M:-2.3711 c. 149: 17 17 29 39 19 28 N SD: 1.5026 c. M:-3.1384 c. 159: 18 18 31 42 20 30 N SD: 1.1793 c. M:-2.0747 c. 163: 18 19 32 43 20 31 N SD: 1.4191 c. M:-1.9110 c. 171: 19 20 33 45 22 32 N SD: 1.1482 c. M:-2.0275 c. 180: 20 21 35 47 23 34 N SD: 1.1030 c. M: 2.6289 c. 190: 21 22 37 50 24 36 N SD: 1.2618 c. M: 2.0108 c. 197: 22 23 38 52 25 37 N SD: 0.6340 c. M:-1.2082 c. 206: 23 24 40 54 26 39 N SD: 0.6161 c. M: 1.2697 c. 223: 25 26 43 59 28 42 N SD: 0.6246 c. M:-0.8497 c. 232: 26 27 45 61 29 44 N SD: 0.6026 c. M: 0.9973 c. 280: 31 33 54 74 35 53 N SD: 0.5842 c. M: 0.9172 c. 334: 37 39 65 88 42 63 N SD: 0.4359 c. M: 0.8402 c. 360: 40 42 70 95 45 68 N SD: 0.3840 c. M:-0.7044 c. 413: 46 48 80 109 52 78 N SD: 0.3911 c. M: 0.7481 c. 429: 48 50 83 113 54 81 N SD: 0.3143 c. M:-0.5361 c. 439: 49 51 85 116 55 83 N SD: 0.3109 c. M: 0.6223 c. 483: 54 56 94 127 61 91 N SD: 0.3715 c. M:-0.5152 c. 509: 57 59 99 134 64 96 N SD: 0.3625 c. M:-0.6068 c. 531: 59 62 103 140 67 100 N SD: 0.3127 c. M:-0.6002 c. 540: 60 63 105 142 68 102 N SD: 0.3038 c. M: 0.4410 c. 557: 62 65 108 147 70 105 N SD: 0.2265 c. M:-0.3770 c. 566: 63 66 110 149 71 107 N SD: 0.2156 c. M:-0.3967 c. 645: 72 75 125 170 81 122 N SD: 0.2443 c. M: 0.3878 c. 737: 82 86 143 194 93 139 N SD: 0.2184 c. M: 0.3765 c. 763: 85 89 148 201 96 144 N SD: 0.0860 c. M:-0.1145 c. 1202: 134 140 233 317 151 227 N SD: 0.0696 c. M: 0.1607 c. 1552: 173 181 301 409 195 293 N SD: 0.0767 c. M:-0.1262 c. 1768: 197 206 343 466 222 334 N SD: 0.0573 c. M: 0.1079 c. 1965: 219 229 381 518 247 371 N SD: 0.0321 c. M: 0.0576 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 60.3370 cents 3 x x 4:5 x 6 S SD: 20.7605 cents 4 x 5 x 6:7:8 S SD: 41.2991 cents 5 x 6:7:8:9:10 S SD: 19.6024 cents 6 x 7:8:10:11:12 S SD: 19.6904 cents 7 x 8:9:11:12:14 SD: 20.1066 cents 8 x 9:11:13:14:16 SD: 16.9962 cents 10:11:12:13:16:18:20 SD: 14.4248 cents 11:12:13:15:18:19:22 SD: 9.2875 cents 12:13:14:16:19:21:24 SD: 4.9734 cents 23:25:27:31:37:40:46 SD: 3.6266 cents 35:38:41:47:56:61:70 SD: 2.9180 cents 36:39:42:48:58:63:72 SD: 2.1528 cents 41:44:48:55:66:72:82 SD: 1.9917 cents 53:57:62:71:85:93:106 SD: 1.5717 cents 64:69:75:86:103:112:128 SD: 1.3228 cents 74:80:87:99:119:130:148 SD: 1.2391 cents 76:82:89:102:122:133:152 SD: 1.1319 cents 77:83:90:103:124:135:154 SD: 1.0723 cents 89:96:104:119:143:156:178 SD: 1.0611 cents 99:107:116:133:159:174:198 SD: 1.0308 cents 100:108:117:134:161:175:200 SD: 0.8821 cents 112:121:131:150:180:197:224 SD: 0.8335 cents 123:133:144:165:198:216:246 SD: 0.5897 cents 135:146:158:181:217:237:270 SD: 0.4813 cents 174:188:204:233:280:305:348 SD: 0.4691 cents 176:190:206:236:283:309:352 SD: 0.4206 cents 212:229:248:284:341:372:424 SD: 0.3481 cents 250:270:293:335:402:439:500 SD: 0.3205 cents 274:296:321:367:441:481:548 SD: 0.2762 cents 286:309:335:383:460:502:572 SD: 0.1617 cents 350:378:410:469:563:614:700 SD: 0.1441 cents 362:391:424:485:582:635:724 SD: 0.1432 cents 485:524:568:650:780:851:970 SD: 0.1084 cents