Scala analysis: CD18_03_husayni_Tunisia
Istikhbâr, rbâb / De toutes parts tu le vois - 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: 164.876 cents 164.875614 2: 296.634 cents 296.633982 3: 496.856 cents 496.855530 4: 707.037 cents 707.036578 5: 865.499 cents 865.498635 6: 1003.319 cents 1003.319458 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 196.6805 cents 196.6805 1: 164.8756 cents 164.8756 2: 131.7584 cents 131.7584 3: 200.2215 cents 200.2215 4: 210.1810 cents 210.1810 5: 158.4621 cents 158.4621 6: 137.8208 cents 137.8208 7: 196.6805 cents 196.6805
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 131.75837 cents 1: 1 137.82082 cents 1: 1 158.46206 cents 1: 1 164.87561 cents 1: 1 196.68054 cents 1: 1 200.22155 cents 1: 1 210.18105 cents 2: 1 296.28288 cents 2: 1 296.63398 cents 2: 1 331.97992 cents 2: 1 334.50137 cents 2: 1 361.55616 cents 2: 1 368.64310 cents 2: 1 410.40260 cents 3: 1 492.96342 cents 3: 1 493.31452 cents 3: 1 496.85553 cents 3: 1 499.37698 cents 3: 1 506.46393 cents 3: 1 542.16096 cents 3: 1 568.86465 cents 4: 1 631.13535 cents 4: 1 657.83904 cents 4: 1 693.53607 cents 4: 1 700.62302 cents 4: 1 703.14447 cents 4: 1 706.68548 cents 4: 1 707.03658 cents 5: 1 789.59740 cents 5: 1 831.35690 cents 5: 1 838.44384 cents 5: 1 865.49863 cents 5: 1 868.02008 cents 5: 1 903.36602 cents 5: 1 903.71712 cents 6: 1 989.81895 cents 6: 1 999.77845 cents 6: 1 1003.31946 cents 6: 1 1035.12439 cents 6: 1 1041.53794 cents 6: 1 1062.17918 cents 6: 1 1068.24163 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 : 164.9 296.6 496.9 707.0 865.5 1003.3 1200.0 164.9 : 131.8 332.0 542.2 700.6 838.4 1035.1 1200.0 296.6 : 200.2 410.4 568.9 706.7 903.4 1068.2 1200.0 496.9 : 210.2 368.6 506.5 703.1 868.0 999.8 1200.0 707.0 : 158.5 296.3 493.0 657.8 789.6 989.8 1200.0 865.5 : 137.8 334.5 499.4 631.1 831.4 1041.5 1200.0 1003.3: 196.7 361.6 493.3 693.5 903.7 1062.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 131.7584 .. 210.1810 cents 78.42268 cents 131.75837 cents 2: 296.2829 .. 410.4026 cents 114.11972 cents 86.10183 cents 3: 492.9634 .. 568.8647 cents 75.90123 cents 82.56083 cents 4: 631.1353 .. 707.0366 cents 75.90123 cents 62.27069 cents 5: 789.5974 .. 903.7171 cents 114.11972 cents 82.56083 cents 6: 989.8190 .. 1068.2416 cents 78.42268 cents 86.10183 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 131.75837 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 210.18105 cents Average / Smallest step : 1.301083 Largest / Average step : 1.226056 Largest / Smallest step : 1.595201 Median interval of one step : 164.87561 cents, amount: 1 Least squares average step : 170.17333 cents, oct.: 1191.21332 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : DAFGCBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 62.27069 cents Scale diversity : 1.472735 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.552594 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 : 0.35110 cents Number of recognisable fifths : 5, average 702.2051 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 113.7686 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 22.8206 c. M:-46.2232 c. Lebeng 12: 2 1 2 2 2 1 2 P M ME I SD: 18.9202 c. M:-35.1244 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 17: 2 2 3 3 2 2 3 SP D3 S SD: 13.8460 c. M: 23.6991 c. 22: 3 2 4 4 3 2 4 P SD: 12.6897 c. M: 23.9067 c. Murchhana Abhirudgata, Kafi That, Raga Bageshri 24: 3 3 4 4 3 3 4 SP D3 S SD: 8.8094 c. M: 15.4986 c. Maqam Hussaini, Ushaq, Neutral Diatonic Dorian 29: 4 3 5 5 4 3 5 SP SD: 5.0493 c. M: 10.2160 c. 36: 5 4 6 6 5 4 6 SP SD: 3.5117 c. M: 7.0366 c. First plagal Byzantine Liturgical mode ascending 60: 8 7 10 10 8 7 10 SP SD: 4.4038 c. M: 7.0366 c. 61: 8 7 10 11 8 7 10 SP SD: 3.4952 c. M: 7.4986 c. 65: 9 7 11 11 9 7 11 SP SD: 3.4170 c. M: 6.3964 c. 68: 9 8 11 12 9 8 11 SP SD: 3.0233 c. M: 6.0521 c. 73: 10 8 12 13 10 8 12 SP SD: 2.6124 c. M:-5.7342 c. 78: 11 8 13 14 10 9 13 SP SD: 3.4949 c. M: 4.5478 c. 80: 11 9 13 14 11 9 13 SP SD: 2.4502 c. M:-4.5014 c. 90: 12 10 15 16 12 10 15 SP SD: 2.9177 c. M: 4.8756 c. 97: 13 11 16 17 13 11 16 SP SD: 1.9228 c. M: 4.0509 c. 104: 14 12 17 18 14 12 17 SP SD: 2.1853 c. M:-3.3660 c. 109: 15 12 18 19 15 12 18 SP SD: 2.0210 c. M:-4.2261 c. 126: 17 14 21 22 17 14 21 SP SD: 2.1026 c. M: 3.3195 c. 129: 18 14 21 23 17 15 21 SP SD: 1.8623 c. M: 3.8323 c. 133: 18 15 22 23 18 15 22 SP SD: 1.7805 c. M: 3.2772 c. 141: 19 16 23 25 19 16 23 SP SD: 2.0731 c. M: 3.2385 c. 146: 20 16 24 26 19 17 24 SP SD: 1.7348 c. M: 3.7048 c. 147: 20 16 25 26 19 17 24 SP SD: 1.7752 c. M:-3.1675 c. 153: 21 17 25 27 20 18 25 SP SD: 1.6378 c. M: 2.7535 c. 154: 21 17 26 27 20 18 25 SP SD: 1.3773 c. M:-2.0543 c. 166: 23 18 28 29 22 19 27 SP SD: 1.4062 c. M:-1.9712 c. 182: 25 20 30 32 24 21 30 SP SD: 1.3240 c. M: 2.3500 c. 183: 25 20 31 32 24 21 30 SP SD: 0.9938 c. M: 1.5520 c. 190: 26 21 32 33 25 22 31 SP SD: 0.9119 c. M:-2.0918 c. 219: 30 24 37 38 29 25 36 SP SD: 0.7910 c. M:-1.7746 c. 227: 31 25 38 40 30 26 37 SP SD: 0.9602 c. M:-1.4617 c. 234: 32 26 39 41 31 27 38 SP SD: 0.9742 c. M:-1.8087 c. 239: 33 26 40 42 31 28 39 SP SD: 0.9307 c. M: 1.9003 c. 256: 35 28 43 45 34 29 42 SP SD: 0.9181 c. M:-1.6889 c. 263: 36 29 44 46 35 30 43 SP SD: 0.6443 c. M:-1.4215 c. 268: 37 29 45 47 35 31 44 SP SD: 0.7492 c. M: 1.3195 c. 270: 37 30 45 47 36 31 44 SP SD: 0.8545 c. M:-1.1680 c. 275: 38 30 46 48 36 32 45 SP SD: 0.7190 c. M: 1.4986 c. 299: 41 33 50 52 40 34 49 SP SD: 0.6845 c. M:-1.3910 c. 304: 42 33 51 53 40 35 50 SP SD: 0.6729 c. M: 1.0250 c. 312: 43 34 52 55 41 36 51 SP SD: 0.4931 c. M: 0.7017 c. 319: 44 35 53 56 42 37 52 SP SD: 0.5426 c. M:-1.0693 c. 336: 46 37 56 59 44 39 55 SP SD: 0.5501 c. M: 1.2129 c. 341: 47 37 57 60 45 39 56 SP SD: 0.5420 c. M: 1.0328 c. 348: 48 38 58 61 46 40 57 SP SD: 0.2796 c. M:-0.6416 c. 531: 73 58 89 93 70 61 87 SP SD: 0.2827 c. M: 0.5888 c. 538: 74 59 90 94 71 62 88 SP SD: 0.2649 c. M:-0.5422 c. 567: 78 62 95 99 75 65 93 SP SD: 0.2571 c. M:-0.4990 c. 635: 87 70 106 111 84 73 104 SP SD: 0.2189 c. M: 0.4662 c. 664: 91 73 111 116 88 76 109 SP SD: 0.2786 c. M: 0.4178 c. 684: 94 75 114 120 90 79 112 SP SD: 0.2763 c. M: 0.5864 c. 713: 98 78 119 125 94 82 117 SP SD: 0.2856 c. M: 0.4215 c. 720: 99 79 120 126 95 83 118 SP SD: 0.2501 c. M: 0.4986 c. 793: 109 87 132 139 105 91 130 SP SD: 0.2393 c. M: 0.5125 c. 850: 117 93 142 149 112 98 139 SP SD: 0.2380 c. M:-0.4452 c. 879: 121 96 147 154 116 101 144 SP SD: 0.2001 c. M: 0.3882 c. 886: 122 97 148 155 117 102 145 SP SD: 0.1939 c. M:-0.3614 c. 915: 126 100 153 160 121 105 150 SP SD: 0.1937 c. M:-0.3703 c. 939: 129 103 157 164 124 108 154 SP SD: 0.2144 c. M: 0.3273 c. 947: 130 104 158 166 125 109 155 SP SD: 0.1349 c. M:-0.2708 c. 976: 134 107 163 171 129 112 160 SP SD: 0.1459 c. M: 0.3225 c. 983: 135 108 164 172 130 113 161 SP SD: 0.1028 c. M: 0.2207 c. 1331: 183 146 222 233 176 153 218 SP SD: 0.1064 c. M: 0.1996 c. 1500: 206 165 250 263 198 172 246 SP SD: 0.1119 c. M:-0.1660 c. 1514: 208 166 253 265 200 174 248 SP SD: 0.0977 c. M: 0.2007 c. 1775: 244 195 296 311 234 204 291 SP SD: 0.1007 c. M:-0.1548 c. 1804: 248 198 301 316 238 207 296 SP SD: 0.0994 c. M: 0.2152 c. 1848: 254 203 308 324 244 212 303 SP SD: 0.0863 c. M:-0.1193 c. 2038: 280 224 340 357 269 234 334 SP SD: 0.0814 c. M:-0.1275 c. 2067: 284 227 345 362 273 237 339 SP SD: 0.0779 c. M: 0.1264 c. 2220: 305 244 370 389 293 255 364 SP SD: 0.0752 c. M:-0.1228 c. 2379: 327 261 397 417 314 273 390 SP SD: 0.0721 c. M:-0.1513 c. 2386: 328 262 398 418 315 274 391 SP SD: 0.0657 c. M:-0.0969 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: 2.5408 cents 3 x x 4 x 5 x 6 S SD: 6.2992 cents 4 x 5 x 6 x 7:8 S SD: 24.0547 cents 5 x 6:7 x 8:9:10 S SD: 20.5783 cents 6 x 7:8:9:10:11:12 S SD: 9.7022 cents 7 x 8:9:11:12:13:14 SD: 25.3006 cents 8:9:10:11:12:13:14:16 S SD: 17.1259 cents 9:10:11:12:14:15:16:18 S SD: 11.6449 cents 10:11:12:13:15:16:18:20 SD: 10.1958 cents 12:13:14:16:18:20:21:24 S SD: 8.0184 cents 17:19:20:23:26:28:30:34 SD: 7.7158 cents 18:20:21:24:27:30:32:36 S SD: 5.7646 cents 20:22:24:27:30:33:36:40 S SD: 4.7556 cents 22:24:26:29:33:36:39:44 SD: 4.3888 cents 28:31:33:37:42:46:50:56 SD: 3.3357 cents 32:35:38:43:48:53:57:64 SD: 2.9112 cents 37:41:44:49:56:61:66:74 SD: 2.8514 cents 38:42:45:51:57:63:68:76 SD: 2.7866 cents 39:43:46:52:59:64:70:78 SD: 2.7860 cents 42:46:50:56:63:69:75:84 SD: 1.7246 cents 48:53:57:64:72:79:86:96 SD: 1.5652 cents 60:66:71:80:90:99:107:120 SD: 1.1050 cents 69:76:82:92:104:114:123:138 SD: 0.9377 cents 91:100:108:121:137:150:162:182 SD: 0.9095 cents 102:112:121:136:153:168:182:204 SD: 0.9063 cents 111:122:132:148:167:183:198:222 SD: 0.5747 cents 139:153:165:185:209:229:248:278 SD: 0.4202 cents 171:188:203:228:257:282:305:342 SD: 0.3980 cents 208:229:247:277:313:343:371:416 SD: 0.3774 cents 210:231:249:280:316:346:375:420 SD: 0.3467 cents 220:242:261:293:331:363:393:440 SD: 0.3071 cents 262:288:311:349:394:432:468:524 SD: 0.2455 cents 321:353:381:428:483:529:573:642 SD: 0.2074 cents 331:364:393:441:498:546:591:662 SD: 0.1786 cents 418:460:496:557:629:689:746:836 SD: 0.1763 cents 460:506:546:613:692:758:821:920 SD: 0.1388 cents 470:517:558:626:707:775:839:940 SD: 0.1314 cents 541:595:642:721:814:892:966:1082 SD: 0.1003 cents