Scala analysis: CD17_16_husayni_Tunisia
La pleine lune est apparue au matin / Toi qui es brun - L'ensemble de Muhammad Ghânim (husayni, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 176.504 cents 176.503609 2: 294.128 cents 294.128440 3: 491.875 cents 491.874714 4: 704.536 cents 704.535808 5: 875.677 cents 875.676624 6: 996.031 cents 996.031471 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 203.9685 cents 203.9685 1: 176.5036 cents 176.5036 2: 117.6248 cents 117.6248 3: 197.7463 cents 197.7463 4: 212.6611 cents 212.6611 5: 171.1408 cents 171.1408 6: 120.3548 cents 120.3548 7: 203.9685 cents 203.9685
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 117.62483 cents 1: 1 120.35485 cents 1: 1 171.14082 cents 1: 1 176.50361 cents 1: 1 197.74627 cents 1: 1 203.96853 cents 1: 1 212.66109 cents 2: 1 291.49566 cents 2: 1 294.12844 cents 2: 1 315.37110 cents 2: 1 324.32338 cents 2: 1 380.47214 cents 2: 1 383.80191 cents 2: 1 410.40737 cents 3: 1 491.87471 cents 3: 1 495.46419 cents 3: 1 498.09697 cents 3: 1 500.82699 cents 3: 1 504.15676 cents 3: 1 528.03220 cents 3: 1 581.54818 cents 4: 1 618.45182 cents 4: 1 671.96780 cents 4: 1 695.84324 cents 4: 1 699.17301 cents 4: 1 701.90303 cents 4: 1 704.53581 cents 4: 1 708.12529 cents 5: 1 789.59263 cents 5: 1 816.19809 cents 5: 1 819.52786 cents 5: 1 875.67662 cents 5: 1 884.62890 cents 5: 1 905.87156 cents 5: 1 908.50434 cents 6: 1 987.33891 cents 6: 1 996.03147 cents 6: 1 1002.25373 cents 6: 1 1023.49639 cents 6: 1 1028.85918 cents 6: 1 1079.64515 cents 6: 1 1082.37517 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 : 176.5 294.1 491.9 704.5 875.7 996.0 1200.0 176.5 : 117.6 315.4 528.0 699.2 819.5 1023.5 1200.0 294.1 : 197.7 410.4 581.5 701.9 905.9 1082.4 1200.0 491.9 : 212.7 383.8 504.2 708.1 884.6 1002.3 1200.0 704.5 : 171.1 291.5 495.5 672.0 789.6 987.3 1200.0 875.7 : 120.4 324.3 500.8 618.5 816.2 1028.9 1200.0 996.0 : 204.0 380.5 498.1 695.8 908.5 1079.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 117.6248 .. 212.6611 cents 95.03626 cents 117.62483 cents 2: 291.4957 .. 410.4074 cents 118.91171 cents 78.83457 cents 3: 491.8747 .. 581.5482 cents 89.67347 cents 81.46735 cents 4: 618.4518 .. 708.1253 cents 89.67347 cents 36.90363 cents 5: 789.5926 .. 908.5043 cents 118.91171 cents 81.46735 cents 6: 987.3389 .. 1082.3752 cents 95.03626 cents 78.83457 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 117.62483 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 212.66109 cents Average / Smallest step : 1.457418 Largest / Average step : 1.240523 Largest / Smallest step : 1.807961 Median interval of one step : 176.50361 cents, amount: 1 Least squares average step : 170.09357 cents, oct.: 1190.65499 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : DAEGCBF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 36.90363 cents Scale diversity : 1.505913 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.493964 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 : 2.63278 cents Number of recognisable fifths : 5, average 701.9161 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% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 25.7989 c. M:-48.7287 c. Lebeng 12: 2 1 2 2 2 1 2 P M ME I SD: 13.5252 c. M:-24.3234 c. G.Phrygian, M.Dorian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Bhimpalasi, Huseni, Kanara, Kapi, Nayaki Kanada, Ritigaula, Sriraga, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo, Oshikicho, Banshikicho: Japan, Nam: Vietnam 19: 3 2 3 3 3 2 3 SP M ME I SD: 13.0692 c. M:-21.6610 c. Nineteen-tone Dorian 22: 3 2 4 4 3 2 4 P SD: 11.0581 c. M: 21.4012 c. Murchhana Abhirudgata, Kafi That, Raga Bageshri 25: 4 2 4 5 3 3 4 SP SD: 11.5724 c. M:-15.4964 c. 27: 4 3 4 5 4 2 5 SP SD: 11.0191 c. M: 18.2537 c. 29: 4 3 5 5 4 3 5 SP SD: 5.5726 c. M: 10.9864 c. 36: 5 4 6 6 5 4 6 SP SD: 6.7057 c. M: 9.8369 c. First plagal Byzantine Liturgical mode ascending 41: 6 4 7 7 6 4 7 SP SD: 2.5655 c. M:-5.6863 c. 66: 10 6 11 12 9 7 11 SP SD: 3.4793 c. M:-5.3146 c. 70: 10 7 12 12 10 7 12 SP SD: 3.1305 c. M:-5.2681 c. 88: 13 9 14 16 12 9 15 SP SD: 3.0655 c. M:-5.8716 c. 89: 13 9 14 16 13 9 15 SP SD: 3.0448 c. M: 6.4815 c. 90: 13 9 15 16 13 9 15 SP SD: 2.7201 c. M:-4.3234 c. 95: 14 9 16 17 13 10 16 SP SD: 2.4480 c. M: 4.0977 c. 107: 16 10 18 19 15 11 18 SP SD: 1.9580 c. M:-2.9356 c. 122: 18 12 20 22 17 12 21 SP SD: 1.7480 c. M:-3.6609 c. 129: 19 13 21 23 18 13 22 SP SD: 1.7711 c. M:-3.5460 c. 130: 19 13 21 23 19 13 22 SP SD: 1.7384 c. M: 2.9973 c. 134: 20 13 22 24 19 13 23 SP SD: 1.9073 c. M:-2.9269 c. 136: 20 13 23 24 19 14 23 SP SD: 1.7413 c. M: 2.9520 c. 141: 21 14 23 25 20 14 24 SP SD: 1.9390 c. M:-3.7439 c. 143: 21 14 24 25 20 15 24 SP SD: 1.9318 c. M:-3.2302 c. 148: 22 14 25 26 21 15 25 SP SD: 1.6157 c. M:-2.7199 c. 152: 22 15 25 27 22 15 26 SP SD: 1.8329 c. M: 2.8194 c. 155: 23 15 26 27 22 16 26 SP SD: 1.8261 c. M:-3.6092 c. 158: 23 16 26 28 22 16 27 SP SD: 1.7054 c. M: 2.2589 c. 159: 23 16 26 28 23 16 27 SP SD: 1.5754 c. M: 2.9187 c. 163: 24 16 27 29 23 16 28 SP SD: 1.2983 c. M:-2.2127 c. 170: 25 17 28 30 24 17 29 SP SD: 1.3639 c. M:-2.3421 c. 171: 25 17 28 30 25 17 29 SP SD: 1.3185 c. M: 2.7814 c. 175: 26 17 29 31 25 17 30 SP SD: 1.5745 c. M:-2.0377 c. 176: 26 17 29 31 25 18 30 SP SD: 1.5387 c. M: 2.9494 c. 182: 27 18 30 32 26 18 31 SP SD: 1.6262 c. M:-2.6308 c. 184: 27 18 30 33 26 19 31 SP SD: 1.4389 c. M: 2.7443 c. 188: 28 18 31 33 27 19 32 SP SD: 1.3459 c. M: 2.4081 c. 196: 29 19 32 35 28 20 33 SP SD: 1.1608 c. M: 2.0788 c. 217: 32 21 36 38 31 22 37 SP SD: 1.2273 c. M: 2.2317 c. 218: 32 21 36 39 31 22 37 SP SD: 1.1938 c. M: 2.3853 c. 225: 33 22 37 40 32 23 38 SP SD: 0.8740 c. M:-1.3019 c. 237: 35 23 39 42 34 24 40 SP SD: 0.7503 c. M:-1.4369 c. 266: 39 26 44 47 38 27 45 SP SD: 0.6443 c. M:-0.9610 c. 293: 43 29 48 52 42 29 50 SP SD: 0.5544 c. M: 0.8096 c. 347: 51 34 57 62 49 35 59 SP SD: 0.5545 c. M:-0.9397 c. 359: 53 35 59 64 51 36 61 SP SD: 0.4268 c. M:-0.7567 c. 388: 57 38 64 69 55 39 66 SP SD: 0.3256 c. M:-0.6188 c. 400: 59 39 66 71 57 40 68 SP SD: 0.2927 c. M:-0.4964 c. 429: 63 42 71 76 61 43 73 SP SD: 0.3042 c. M:-0.4330 c. 559: 82 55 92 99 80 56 95 SP SD: 0.2713 c. M: 0.4750 c. 666: 98 65 110 118 95 67 113 SP SD: 0.2167 c. M: 0.4347 c. 795: 117 78 131 141 113 80 135 SP SD: 0.2110 c. M:-0.3699 c. 918: 135 90 151 163 131 92 156 SP SD: 0.1524 c. M: 0.3714 c. 925: 136 91 152 164 132 93 157 SP SD: 0.1962 c. M:-0.3580 c. 947: 139 93 156 168 135 95 161 SP SD: 0.1737 c. M: 0.3684 c. 959: 141 94 158 170 137 96 163 SP SD: 0.1076 c. M:-0.2358 c. 1313: 193 129 216 233 187 132 223 SP SD: 0.1324 c. M: 0.1763 c. 1325: 195 130 218 235 189 133 225 SP SD: 0.1292 c. M:-0.2112 c. 1347: 198 132 222 239 192 135 229 SP SD: 0.0998 c. M: 0.1418 c. 1354: 199 133 223 240 193 136 230 SP SD: 0.0860 c. M: 0.1373 c. 1754: 258 172 289 311 250 176 298 SP SD: 0.0688 c. M:-0.1392 c. 2223: 327 218 366 394 317 223 378 SP SD: 0.0757 c. M: 0.1068 c. 2264: 333 222 373 401 323 227 385 SP SD: 0.0635 c. M: 0.1188 c. 2313: 340 227 381 410 330 232 393 SP SD: 0.0610 c. M: 0.1093 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: 1.2904 cents 3 x x 4 x 5 x 6 S SD: 3.5504 cents 4 x 5 x 6 x 7:8 S SD: 24.0376 cents 5 x 6:7 x 8:9:10 S SD: 22.7910 cents 6 x 7:8:9:10:11:12 S SD: 10.1480 cents 7:8 x 9:11:12 x 14 SD: 24.9736 cents 8:9 x 11:12:13:14:16 SD: 13.1939 cents 9:10:11:12:14:15:16:18 S SD: 11.6345 cents 10:11:12:13:15:17:18:20 SD: 9.4016 cents 12:13:14:16:18:20:21:24 S SD: 7.8792 cents 16:18:19:21:24:27:28:32 SD: 7.6474 cents 17:19:20:23:26:28:30:34 SD: 7.3872 cents 18:20:21:24:27:30:32:36 S SD: 4.2807 cents 26:29:31:35:39:43:46:52 SD: 4.2363 cents 27:30:32:36:41:45:48:54 SD: 3.1832 cents 36:40:43:48:54:60:64:72 SD: 2.6210 cents 46:51:55:61:69:76:82:92 SD: 2.5469 cents 48:53:57:64:72:80:85:96 SD: 2.0265 cents 49:54:58:65:74:81:87:98 SD: 2.0183 cents 54:60:64:72:81:90:96:108 S SD: 1.7781 cents 55:61:65:73:83:91:98:110 SD: 1.6184 cents 58:64:69:77:87:96:103:116 SD: 1.4432 cents 64:71:76:85:96:106:114:128 SD: 0.9605 cents 76:84:90:101:114:126:135:152 SD: 0.6613 cents 103:114:122:137:155:171:183:206 SD: 0.6307 cents 131:145:155:174:197:217:233:262 SD: 0.5863 cents 140:155:166:186:210:232:249:280 SD: 0.4422 cents 167:185:198:222:251:277:297:334 SD: 0.2589 cents 243:269:288:323:365:403:432:486 SD: 0.1431 cents 512:567:607:680:769:849:910:1024 SD: 0.1378 cents 530:587:628:704:796:879:942:1060 SD: 0.1221 cents