Scala analysis: CD08_14_Egypt
Hymne au fils de Mawlânâ - Mustafa Fahreddin Dede (iraq, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 135.260 cents 135.260179 2: 285.532 cents 285.531908 3: 497.027 cents 497.027375 4: 665.426 cents 665.426036 5: 801.810 cents 801.809746 6: 1009.569 cents 1009.568566 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 190.4314 cents 190.4314 1: 135.2602 cents 135.2602 2: 150.2717 cents 150.2717 3: 211.4955 cents 211.4955 4: 168.3987 cents 168.3987 5: 136.3837 cents 136.3837 6: 207.7588 cents 207.7588 7: 190.4314 cents 190.4314
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 135.26018 cents 1: 1 136.38371 cents 1: 1 150.27173 cents 1: 1 168.39866 cents 1: 1 190.43143 cents 1: 1 207.75882 cents 1: 1 211.49547 cents 2: 1 285.53191 cents 2: 1 304.78237 cents 2: 1 325.69161 cents 2: 1 344.14253 cents 2: 1 361.76720 cents 2: 1 379.89413 cents 2: 1 398.19025 cents 3: 1 475.96334 cents 3: 1 497.02738 cents 3: 1 512.54119 cents 3: 1 516.27784 cents 3: 1 530.16586 cents 3: 1 533.45043 cents 3: 1 534.57396 cents 4: 1 665.42604 cents 4: 1 666.54957 cents 4: 1 669.83414 cents 4: 1 683.72216 cents 4: 1 687.45881 cents 4: 1 702.97262 cents 4: 1 724.03666 cents 5: 1 801.80975 cents 5: 1 820.10587 cents 5: 1 838.23280 cents 5: 1 855.85747 cents 5: 1 874.30839 cents 5: 1 895.21763 cents 5: 1 914.46809 cents 6: 1 988.50453 cents 6: 1 992.24118 cents 6: 1 1009.56857 cents 6: 1 1031.60134 cents 6: 1 1049.72827 cents 6: 1 1063.61629 cents 6: 1 1064.73982 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 : 135.3 285.5 497.0 665.4 801.8 1009.6 1200.0 135.3 : 150.3 361.8 530.2 666.5 874.3 1064.7 1200.0 285.5 : 211.5 379.9 516.3 724.0 914.5 1049.7 1200.0 497.0 : 168.4 304.8 512.5 703.0 838.2 988.5 1200.0 665.4 : 136.4 344.1 534.6 669.8 820.1 1031.6 1200.0 801.8 : 207.8 398.2 533.5 683.7 895.2 1063.6 1200.0 1009.6: 190.4 325.7 476.0 687.5 855.9 992.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 135.2602 .. 211.4955 cents 76.23529 cents 135.26018 cents 2: 285.5319 .. 398.1903 cents 112.65835 cents 74.03644 cents 3: 475.9633 .. 534.5740 cents 58.61062 cents 77.77309 cents 4: 665.4260 .. 724.0367 cents 58.61062 cents 130.85207 cents 5: 801.8097 .. 914.4681 cents 112.65835 cents 77.77309 cents 6: 988.5045 .. 1064.7398 cents 76.23529 cents 74.03644 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 135.26018 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 211.49547 cents Average / Smallest step : 1.267399 Largest / Average step : 1.233724 Largest / Smallest step : 1.563620 Median interval of one step : 168.39866 cents, amount: 1 Least squares average step : 166.61122 cents, oct.: 1166.27852 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : ACGDBFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 74.03644 cents Scale diversity : 1.451377 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.587493 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 : 1.12353 cents Number of recognisable fifths : 2, average 695.2157 cents Number of appreciable fifths : 1, average 702.9726 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 94.3622 cents: 2 5 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 35.3082 c. M:-57.3252 c. Lebeng 9: 1 1 2 1 1 2 1 P M ME S SD: 26.5727 c. M:-57.0981 c. 12: 1 2 2 2 1 2 2 P M ME S SD: 19.8265 c. M: 35.2602 c. G.Dorian, M.Phrygian, G.M.Hypoaeolian, Bhairavi That, Mela Hanumatodi, Raga Asavari (Asaveri), Bilashkhani Todi, Ghanta, Makam Kurd, Gregorian nr.3, In, Zokuso: Japan, Ousak: Greece, Major inverse 16: 2 2 3 2 2 3 2 SP M ME S SD: 22.2749 c. M:-40.4314 c. Antimixolydian 17: 2 2 3 2 2 3 3 SP D3 S SD: 17.1493 c. M: 30.1319 c. Safi al-Din's maqam Husaini 18: 2 2 3 3 2 3 3 SP D3 S SD: 14.0293 c. M: 30.3607 c. 20: 2 3 3 3 2 4 3 SP D3 SD: 13.8670 c. M: 21.8097 c. 21: 2 3 4 3 2 4 3 SP T3 SD: 14.7057 c. M: 20.9745 c. 24: 3 3 4 3 3 4 4 SP D3 S SD: 10.4760 c. M: 15.4260 c. Maqam Ouchairan-Hussaini, Bayatan, Neutral Diatonic Mixolydian 25: 3 3 4 4 3 4 4 SP D3 S SD: 9.4071 c. M: 17.0274 c. 27: 3 3 5 4 3 5 4 SP SD: 9.1867 c. M: 18.8652 c. 29: 3 4 5 4 3 5 5 SP S SD: 9.7596 c. M: 16.4651 c. 32: 4 4 5 5 3 6 5 SP SD: 10.8390 c. M:-14.7398 c. 33: 4 4 6 4 4 6 5 SP SD: 8.2308 c. M:-12.0635 c. 34: 4 4 6 5 4 6 5 SP SD: 7.3117 c. M:-13.9608 c. 36: 4 5 6 5 4 6 6 SP S SD: 6.7427 c. M:-14.4681 c. 38: 4 5 7 5 4 7 6 SP SD: 6.6313 c. M: 12.3361 c. 42: 5 5 7 6 5 7 7 SP SD: 7.0627 c. M: 11.3131 c. 43: 5 5 8 6 5 7 7 SP SD: 5.1723 c. M:-7.4926 c. 45: 5 6 8 6 5 8 7 SP SD: 5.0211 c. M:-9.6393 c. 51: 6 6 9 7 6 9 8 SP SD: 3.8779 c. M: 6.6025 c. 63: 7 8 11 9 7 11 10 SP SD: 1.2964 c. M: 1.9268 c. 159: 18 20 28 22 18 28 25 SP SD: 1.2585 c. M: 1.8097 c. 169: 19 21 30 24 19 29 27 SP SD: 1.1004 c. M:-2.0296 c. 177: 20 22 31 25 20 31 28 SP SD: 1.1871 c. M: 2.1121 c. 184: 21 23 32 26 21 32 29 SP SD: 1.1127 c. M:-1.6963 c. 193: 22 24 34 27 22 33 31 SP SD: 1.0793 c. M: 2.3147 c. 202: 23 25 36 28 23 35 32 SP SD: 0.9342 c. M:-1.9825 c. 220: 25 27 39 31 25 38 35 SP SD: 0.8848 c. M: 1.8955 c. 247: 28 31 43 35 28 43 39 SP SD: 0.8448 c. M: 1.4808 c. 251: 28 32 44 35 29 43 40 SP SD: 1.0036 c. M: 1.3956 c. 256: 29 32 45 36 29 44 41 SP SD: 0.7398 c. M: 1.7561 c. 265: 30 33 47 37 30 46 42 SP SD: 0.5059 c. M:-1.0858 c. 328: 37 41 58 46 37 57 52 SP SD: 0.3565 c. M: 0.5902 c. 534: 60 67 94 75 61 92 85 SP SD: 0.3694 c. M: 0.5798 c. 543: 61 68 96 76 62 94 86 SP SD: 0.3396 c. M: 0.4535 c. 597: 67 75 105 84 68 103 95 SP SD: 0.3734 c. M: 0.5868 c. 606: 68 76 107 85 69 105 96 SP SD: 0.3073 c. M: 0.6067 c. 618: 70 77 109 87 70 107 98 SP SD: 0.3465 c. M:-0.6622 c. 630: 71 79 111 88 72 109 100 SP SD: 0.2670 c. M: 0.6641 c. 693: 78 87 122 97 79 120 110 SP SD: 0.2151 c. M: 0.4910 c. 736: 83 92 130 103 84 127 117 SP SD: 0.2380 c. M:-0.3642 c. 756: 85 95 133 106 86 131 120 SP SD: 0.2271 c. M: 0.3467 c. 799: 90 100 141 112 91 138 127 SP SD: 0.1640 c. M: 0.3070 c. 862: 97 108 152 121 98 149 137 SP SD: 0.1512 c. M: 0.2878 c. 959: 108 120 169 135 109 166 152 SP SD: 0.2200 c. M:-0.2758 c. 976: 110 122 172 137 111 169 155 SP SD: 0.2048 c. M: 0.3061 c. 983: 111 123 173 138 112 170 156 SP SD: 0.1565 c. M:-0.2434 c. 1021: 115 128 180 143 116 177 162 SP SD: 0.1364 c. M: 0.2427 c. 1046: 118 131 184 147 119 181 166 SP SD: 0.1298 c. M: 0.2779 c. 1127: 127 141 199 158 128 195 179 SP SD: 0.1261 c. M:-0.2220 c. 1190: 134 149 210 167 135 206 189 SP SD: 0.1257 c. M: 0.1568 c. 1311: 148 164 231 184 149 227 208 SP SD: 0.0836 c. M:-0.2089 c. 1374: 155 172 242 193 156 238 218 SP SD: 0.0697 c. M:-0.1110 c. 1917: 216 240 338 269 218 332 304 SP SD: 0.0682 c. M:-0.1341 c. 2067: 233 259 364 290 235 358 328 SP SD: 0.0690 c. M: 0.1140 c. 2110: 238 264 372 296 240 365 335 SP SD: 0.0626 c. M:-0.0953 c. 2173: 245 272 383 305 247 376 345 SP SD: 0.0405 c. M: 0.0886 c. 2236: 252 280 394 314 254 387 355 SP SD: 0.0477 c. M: 0.0873 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: 18.2645 cents 3 x x 4 x 5 x 6 S SD: 27.5184 cents 4 x 5 x 6 x 7:8 S SD: 28.6698 cents 5 x 6 x 7:8:9:10 S SD: 17.8738 cents 6 x 7:8:9:10:11:12 S SD: 16.7345 cents 7 x 8:9:10:11:13:14 SD: 19.2379 cents 8:9 x 11:12:13:14:16 SD: 18.3739 cents 9:10:11:12:13:14:16:18 S SD: 13.1125 cents 10:11:12:13:15:16:18:20 SD: 10.2660 cents 11:12:13:15:16:17:20:22 SD: 10.1934 cents 12:13:14:16:18:19:22:24 SD: 8.2280 cents 15:16:18:20:22:24:27:30 S SD: 5.8421 cents 21:23:25:28:31:33:38:42 SD: 5.5461 cents 22:24:26:29:32:35:39:44 SD: 5.0007 cents 23:25:27:31:34:37:41:46 SD: 4.9300 cents 24:26:28:32:35:38:43:48 SD: 3.3478 cents 34:37:40:45:50:54:61:68 SD: 2.4368 cents 39:42:46:52:57:62:70:78 SD: 1.6345 cents 49:53:58:65:72:78:88:98 SD: 1.6242 cents 51:55:60:68:75:81:91:102 SD: 1.3974 cents 72:78:85:96:106:114:129:144 SD: 1.2106 cents 73:79:86:97:107:116:131:146 SD: 1.0019 cents 96:104:113:128:141:153:172:192 SD: 0.9973 cents 100:108:118:133:147:159:179:200 SD: 0.6729 cents 111:120:131:148:163:176:199:222 SD: 0.6120 cents 124:134:146:165:182:197:222:248 SD: 0.6045 cents 160:173:189:213:235:254:287:320 SD: 0.6040 cents 162:175:191:216:238:257:290:324 SD: 0.5477 cents 173:187:204:231:254:275:310:346 SD: 0.5229 cents 183:198:216:244:269:291:328:366 SD: 0.4195 cents 207:224:244:276:304:329:371:414 SD: 0.2890 cents 273:295:322:364:401:434:489:546 SD: 0.2506 cents 307:332:362:409:451:488:550:614 SD: 0.1286 cents 418:452:493:557:614:664:749:836 SD: 0.1007 cents