Scala analysis: CD02_11_husayni_Egypt
Si l'échanson / Sa majesté le bonheur - Darwîsh Muhammad al-Harîrî (husayni, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 149.442 cents 149.442320 2: 305.118 cents 305.117842 3: 508.071 cents 508.071249 4: 734.437 cents 734.436523 5: 861.520 cents 861.519914 6: 1005.558 cents 1005.558168 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 194.4418 cents 194.4418 1: 149.4423 cents 149.4423 2: 155.6755 cents 155.6755 3: 202.9534 cents 202.9534 4: 226.3653 cents 226.3653 5: 127.0834 cents 127.0834 6: 144.0383 cents 144.0383 7: 194.4418 cents 194.4418
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 127.08339 cents 1: 1 144.03825 cents 1: 1 149.44232 cents 1: 1 155.67552 cents 1: 1 194.44183 cents 1: 1 202.95341 cents 1: 1 226.36527 cents 2: 1 271.12164 cents 2: 1 305.11784 cents 2: 1 338.48009 cents 2: 1 343.88415 cents 2: 1 353.44866 cents 2: 1 358.62893 cents 2: 1 429.31868 cents 3: 1 465.56348 cents 3: 1 487.92241 cents 3: 1 497.48692 cents 3: 1 499.55967 cents 3: 1 508.07125 cents 3: 1 556.40207 cents 3: 1 584.99420 cents 4: 1 615.00580 cents 4: 1 643.59793 cents 4: 1 691.92875 cents 4: 1 700.44033 cents 4: 1 702.51308 cents 4: 1 712.07759 cents 4: 1 734.43652 cents 5: 1 770.68132 cents 5: 1 841.37107 cents 5: 1 846.55134 cents 5: 1 856.11585 cents 5: 1 861.51991 cents 5: 1 894.88216 cents 5: 1 928.87835 cents 6: 1 973.63473 cents 6: 1 997.04659 cents 6: 1 1005.55817 cents 6: 1 1044.32448 cents 6: 1 1050.55768 cents 6: 1 1055.96175 cents 6: 1 1072.91661 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 : 149.4 305.1 508.1 734.4 861.5 1005.6 1200.0 149.4 : 155.7 358.6 585.0 712.1 856.1 1050.6 1200.0 305.1 : 203.0 429.3 556.4 700.4 894.9 1044.3 1200.0 508.1 : 226.4 353.4 497.5 691.9 841.4 997.0 1200.0 734.4 : 127.1 271.1 465.6 615.0 770.7 973.6 1200.0 861.5 : 144.0 338.5 487.9 643.6 846.6 1072.9 1200.0 1005.6: 194.4 343.9 499.6 702.5 928.9 1056.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 127.0834 .. 226.3653 cents 99.28188 cents 127.08339 cents 2: 271.1216 .. 429.3187 cents 158.19704 cents 44.75637 cents 3: 465.5635 .. 584.9942 cents 119.43073 cents 36.24480 cents 4: 615.0058 .. 734.4365 cents 119.43073 cents 30.01159 cents 5: 770.6813 .. 928.8784 cents 158.19704 cents 36.24480 cents 6: 973.6347 .. 1072.9166 cents 99.28188 cents 44.75637 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 127.08339 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 226.36527 cents Average / Smallest step : 1.348946 Largest / Average step : 1.320464 Largest / Smallest step : 1.781234 Median interval of one step : 155.67552 cents, amount: 1 Least squares average step : 171.16133 cents, oct.: 1198.12932 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CDFGABE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 30.01159 cents Scale diversity : 1.574481 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.371817 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 : 2.07275 cents Number of recognisable fifths : 4, average 701.7399 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 26.3734 c. M: 48.7222 c. Lebeng 11: 1 2 2 2 1 1 2 N D3 SD: 26.8818 c. M: 40.3514 c. 14: 2 2 2 3 1 2 2 P T3 SD: 23.4930 c. M:-37.7393 c. 15: 2 2 2 3 2 2 2 SP M ME I SD: 20.2029 c. M:-34.4418 c. Miller's Porcupine-7 16: 2 2 3 3 1 2 3 P SD: 20.0813 c. M: 36.5199 c. 17: 2 2 3 3 2 2 3 SP D3 S SD: 17.3445 c. M: 28.5542 c. 18: 2 3 3 3 2 2 3 P D3 SD: 15.8222 c. M:-28.2155 c. 19: 2 3 3 4 2 2 3 N SD: 15.7953 c. M:-23.4582 c. 21: 3 2 4 4 2 3 3 P T3 S SD: 14.7270 c. M:-23.0133 c. 23: 3 3 4 4 3 2 4 SP SD: 12.9060 c. M:-25.4366 c. 24: 3 3 4 5 2 3 4 P SD: 8.4301 c. M:-15.5635 c. 31: 4 4 5 6 3 4 5 SP SD: 4.9776 c. M: 9.9070 c. 42: 5 6 7 8 4 5 7 P SD: 6.4030 c. M:-9.1679 c. 43: 5 6 7 8 5 5 7 SP SD: 5.6920 c. M: 9.9074 c. 47: 6 6 8 9 5 5 8 SP SD: 5.3120 c. M: 9.8135 c. 49: 6 6 9 9 5 6 8 SP SD: 5.2459 c. M: 11.2403 c. 54: 7 7 9 10 6 6 9 SP SD: 4.4902 c. M:-6.1132 c. 56: 7 7 10 10 6 7 9 SP SD: 4.1609 c. M:-6.2145 c. 64: 8 8 11 12 7 8 10 SP SD: 3.5682 c. M:-6.9418 c. 67: 8 9 11 13 7 8 11 SP SD: 3.6166 c. M: 6.5787 c. 74: 9 10 12 14 8 9 12 SP SD: 3.3039 c. M: 5.3685 c. 75: 9 10 13 14 8 9 12 SP SD: 2.9486 c. M: 5.4423 c. 82: 10 11 14 15 9 10 13 SP SD: 2.9306 c. M:-4.1979 c. 95: 12 12 16 18 10 12 15 SP SD: 2.6952 c. M:-4.9681 c. 99: 12 13 17 19 10 12 16 SP SD: 2.5902 c. M:-4.9574 c. 103: 13 13 18 19 11 12 17 SP SD: 2.4868 c. M:-4.5501 c. 106: 13 14 18 20 11 13 17 SP SD: 1.4428 c. M: 2.2725 c. 142: 18 18 24 27 15 17 23 SP SD: 1.1830 c. M:-2.6704 c. 160: 20 21 27 30 17 19 26 SP SD: 1.2703 c. M:-2.3822 c. 177: 22 23 30 33 19 21 29 SP SD: 1.2065 c. M: 2.2331 c. 185: 23 24 31 35 20 22 30 SP SD: 1.0829 c. M: 2.1253 c. 198: 25 25 34 37 21 24 32 SP SD: 1.3092 c. M: 2.0875 c. 201: 25 26 34 38 21 24 33 SP SD: 1.2395 c. M: 2.5731 c. 208: 26 27 35 39 22 25 34 SP SD: 1.2235 c. M: 1.9045 c. 209: 26 27 35 40 22 25 34 SP SD: 1.1641 c. M: 2.8081 c. 216: 27 28 36 41 23 26 35 SP SD: 1.0833 c. M: 2.5157 c. 217: 27 28 37 41 23 26 35 SP SD: 0.8152 c. M:-1.1529 c. 224: 28 29 38 42 24 27 36 SP SD: 0.8309 c. M:-1.5847 c. 248: 31 32 42 47 26 30 40 SP SD: 0.5778 c. M:-1.0473 c. 283: 35 37 48 53 30 34 46 SP SD: 0.6927 c. M: 1.0324 c. 291: 36 38 49 55 31 35 47 SP SD: 0.5842 c. M: 0.9887 c. 359: 45 46 61 68 38 43 58 SP SD: 0.7376 c. M:-0.9755 c. 366: 46 47 62 69 39 44 59 SP SD: 0.7124 c. M:-1.3774 c. 369: 46 48 62 70 39 44 60 SP SD: 0.4969 c. M: 0.7542 c. 394: 49 51 67 74 42 47 64 SP SD: 0.4203 c. M:-0.5582 c. 425: 53 55 72 80 45 51 69 SP SD: 0.2578 c. M: 0.3817 c. 593: 74 77 100 112 63 71 96 SP SD: 0.3050 c. M:-0.5374 c. 642: 80 83 109 121 68 77 104 SP SD: 0.2302 c. M: 0.4449 c. 673: 84 87 114 127 71 81 109 SP SD: 0.2074 c. M:-0.3348 c. 716: 89 93 121 135 76 86 116 SP SD: 0.2010 c. M: 0.3583 c. 858: 107 111 145 162 91 103 139 SP SD: 0.1954 c. M: 0.3789 c. 869: 108 113 147 164 92 104 141 SP SD: 0.1863 c. M: 0.3054 c. 876: 109 114 148 165 93 105 142 SP SD: 0.1799 c. M:-0.3616 c. 900: 112 117 152 170 95 108 146 SP SD: 0.1698 c. M:-0.2301 c. 964: 120 125 163 182 102 116 156 SP SD: 0.1381 c. M:-0.2510 c. 1018: 127 132 172 192 108 122 165 SP SD: 0.1411 c. M:-0.2630 c. 1124: 140 146 190 212 119 135 182 SP SD: 0.1131 c. M:-0.2202 c. 1283: 160 166 217 242 136 154 208 SP SD: 0.1667 c. M: 0.2198 c. 1294: 161 168 219 244 137 155 210 SP SD: 0.1345 c. M: 0.3031 c. 1309: 163 170 221 247 139 157 212 SP SD: 0.1388 c. M:-0.2066 c. 1358: 169 176 230 256 144 163 220 SP SD: 0.1172 c. M: 0.2578 c. 1389: 173 180 235 262 147 167 225 SP SD: 0.1030 c. M: 0.1808 c. 1542: 192 200 261 291 163 185 250 SP SD: 0.0969 c. M:-0.1938 c. 1549: 193 201 262 292 164 186 251 SP SD: 0.0742 c. M:-0.1276 c. 1840: 229 239 311 347 195 221 298 SP SD: 0.0720 c. M:-0.0995 c. 1982: 247 257 335 374 210 238 321 SP SD: 0.0675 c. M:-0.1036 c. 2258: 281 293 382 426 239 271 366 SP SD: 0.0580 c. M: 0.1066 c. 2376: 296 308 402 448 252 285 385 SP SD: 0.0602 c. M:-0.0962 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: 16.2408 cents 3 x x 4 x 5 x 6 S SD: 8.3142 cents 4 x 5 x 6 x 7:8 S SD: 23.7132 cents 5 x 6:7 x 8:9:10 S SD: 17.9835 cents 6 x 7:8:9:10:11:12 S SD: 11.8543 cents 7 x 8:9:11:12:13:14 SD: 25.0594 cents 8:9:10:11:12:13:14:16 S SD: 17.0681 cents 9:10:11:12:14:15:16:18 S SD: 9.5998 cents 11:12:13:15:17:18:20:22 SD: 7.0036 cents 15:16:18:20:23:25:27:30 SD: 6.8971 cents 20:22:24:27:31:33:36:40 SD: 5.0487 cents 21:23:25:28:32:35:38:42 SD: 4.8932 cents 23:25:27:31:35:38:41:46 SD: 4.5149 cents 30:33:36:40:46:49:54:60 SD: 3.9813 cents 32:35:38:43:49:53:57:64 SD: 2.4463 cents 42:46:50:56:64:69:75:84 SD: 2.0734 cents 47:51:56:63:72:77:84:94 SD: 1.6397 cents 53:58:63:71:81:87:95:106 SD: 1.5456 cents 56:61:67:75:86:92:100:112 SD: 1.5089 cents 67:73:80:90:102:110:120:134 SD: 1.2863 cents 68:74:81:91:104:112:122:136 SD: 1.2397 cents 76:83:91:102:116:125:136:152 SD: 1.1579 cents 79:86:94:106:121:130:141:158 SD: 0.9587 cents 99:108:118:133:151:163:177:198 SD: 0.7552 cents 123:134:147:165:188:202:220:246 SD: 0.6693 cents 135:147:161:181:206:222:241:270 SD: 0.5979 cents 144:157:172:193:220:237:257:288 SD: 0.5774 cents 146:159:174:196:223:240:261:292 SD: 0.4663 cents 155:169:185:208:237:255:277:310 SD: 0.2677 cents 301:328:359:404:460:495:538:602 SD: 0.2373 cents 343:374:409:460:524:564:613:686 SD: 0.1680 cents 399:435:476:535:610:656:713:798 SD: 0.1636 cents 498:543:594:668:761:819:890:996 SD: 0.1071 cents 566:617:675:759:865:931:1012:1132 SD: 0.0771 cents