Scala analysis: CD17_05_Tunisia
Conclusion du Btayhî / Ô toi qui es épris du prince des gazelles - L'ensemble de Muhammad Ghânim (rasd al-dhil, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 172.465 cents 172.465409 2: 282.055 cents 282.055378 3: 484.220 cents 484.219581 4: 667.542 cents 667.541922 5: 795.017 cents 795.017208 6: 988.693 cents 988.693380 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 211.3066 cents 211.3066 1: 172.4654 cents 172.4654 2: 109.5900 cents 109.5900 3: 202.1642 cents 202.1642 4: 183.3223 cents 183.3223 5: 127.4753 cents 127.4753 6: 193.6762 cents 193.6762 7: 211.3066 cents 211.3066
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 109.58997 cents 1: 1 127.47529 cents 1: 1 172.46541 cents 1: 1 183.32234 cents 1: 1 193.67617 cents 1: 1 202.16420 cents 1: 1 211.30662 cents 2: 1 282.05538 cents 2: 1 310.79763 cents 2: 1 311.75417 cents 2: 1 321.15146 cents 2: 1 383.77203 cents 2: 1 385.48654 cents 2: 1 404.98279 cents 3: 1 484.21958 cents 3: 1 493.36200 cents 3: 1 495.07651 cents 3: 1 504.47380 cents 3: 1 512.96183 cents 3: 1 532.45808 cents 3: 1 577.44820 cents 4: 1 622.55180 cents 4: 1 667.54192 cents 4: 1 687.03817 cents 4: 1 695.52620 cents 4: 1 704.92349 cents 4: 1 706.63800 cents 4: 1 715.78042 cents 5: 1 795.01721 cents 5: 1 814.51346 cents 5: 1 816.22797 cents 5: 1 878.84854 cents 5: 1 888.24583 cents 5: 1 889.20237 cents 5: 1 917.94462 cents 6: 1 988.69338 cents 6: 1 997.83580 cents 6: 1 1006.32383 cents 6: 1 1016.67766 cents 6: 1 1027.53459 cents 6: 1 1072.52471 cents 6: 1 1090.41003 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 : 172.5 282.1 484.2 667.5 795.0 988.7 1200.0 172.5 : 109.6 311.8 495.1 622.6 816.2 1027.5 1200.0 282.1 : 202.2 385.5 513.0 706.6 917.9 1090.4 1200.0 484.2 : 183.3 310.8 504.5 715.8 888.2 997.8 1200.0 667.5 : 127.5 321.2 532.5 704.9 814.5 1016.7 1200.0 795.0 : 193.7 405.0 577.4 687.0 889.2 1072.5 1200.0 988.7 : 211.3 383.8 493.4 695.5 878.8 1006.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 109.5900 .. 211.3066 cents 101.71665 cents 109.58997 cents 2: 282.0554 .. 404.9828 cents 122.92741 cents 70.74876 cents 3: 484.2196 .. 577.4482 cents 93.22862 cents 79.23679 cents 4: 622.5518 .. 715.7804 cents 93.22862 cents 45.10360 cents 5: 795.0172 .. 917.9446 cents 122.92741 cents 79.23679 cents 6: 988.6934 .. 1090.4100 cents 101.71665 cents 70.74876 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 109.58997 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 211.30662 cents Average / Smallest step : 1.564272 Largest / Average step : 1.232622 Largest / Smallest step : 1.928157 Median interval of one step : 183.32234 cents, amount: 1 Least squares average step : 165.47606 cents, oct.: 1158.33245 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CAFDBEG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 45.10360 cents Scale diversity : 1.555354 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.470212 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 : 0.95655 cents Number of recognisable fifths : 5, average 701.9813 cents Number of appreciable fifths : 3, average 702.3626 cents Best fifths 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: 38.5116 c. M:-62.1256 c. Lebeng 11: 2 1 1 2 1 2 2 N D3 SD: 33.0059 c. M: 47.8559 c. 12: 2 1 2 2 1 2 2 P M ME S SD: 19.0315 c. M:-32.4581 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 17: 2 2 3 2 2 3 3 SP D3 S SD: 18.7509 c. M: 32.2478 c. Safi al-Din's maqam Husaini 18: 3 1 3 3 2 3 3 P T3 SD: 14.4247 c. M:-27.5346 c. 21: 3 2 3 4 2 3 4 SP T3 SD: 14.1459 c. M: 27.0767 c. 23: 3 2 4 4 2 4 4 SP SD: 13.0574 c. M: 21.1858 c. 25: 4 2 4 4 3 4 4 SP T3 SD: 13.4570 c. M:-20.9828 c. 27: 4 2 5 4 3 4 5 SP SD: 7.8520 c. M: 15.3887 c. 29: 4 3 5 4 3 5 5 SP SD: 7.4175 c. M:-12.3321 c. 34: 5 3 6 5 4 5 6 SP SD: 7.5977 c. M:-16.7475 c. 38: 5 4 6 6 4 6 7 SP SD: 8.2191 c. M: 14.5707 c. 39: 6 3 7 6 4 6 7 SP SD: 7.2589 c. M:-12.1500 c. 42: 6 4 7 6 5 7 7 SP SD: 6.2963 c. M:-11.3066 c. 47: 7 4 8 7 5 8 8 SP SD: 4.0943 c. M:-7.0513 c. 50: 7 5 8 8 5 8 9 SP SD: 4.2103 c. M:-5.9446 c. 56: 8 5 10 8 6 9 10 SP SD: 3.9994 c. M:-8.6376 c. 63: 9 6 10 10 7 10 11 SP SD: 3.9225 c. M: 8.0291 c. 68: 10 6 11 11 7 11 12 SP SD: 3.5148 c. M: 7.7490 c. 72: 10 7 12 11 8 11 13 SP SD: 3.5930 c. M: 5.7987 c. 74: 11 6 13 11 8 12 13 SP SD: 3.5535 c. M: 6.3797 c. 77: 11 7 13 12 8 12 14 SP SD: 2.8948 c. M: 6.8752 c. 81: 12 7 14 12 9 13 14 SP SD: 3.6085 c. M:-5.3124 c. 84: 12 8 14 13 9 13 15 SP SD: 3.0591 c. M:-4.9828 c. 85: 12 8 14 13 9 14 15 SP SD: 3.0034 c. M: 4.4290 c. 86: 12 8 15 13 9 14 15 SP SD: 2.9392 c. M: 5.0235 c. 90: 13 8 15 14 10 14 16 SP SD: 2.7382 c. M:-4.9828 c. 92: 13 9 15 14 10 15 16 SP SD: 2.6091 c. M:-4.9011 c. 95: 14 8 16 15 10 15 17 SP SD: 3.1705 c. M:-4.3767 c. 97: 14 9 16 15 10 16 17 SP SD: 1.7581 c. M: 3.2646 c. 119: 17 11 20 18 13 19 21 SP SD: 1.0704 c. M: 1.9957 c. 124: 18 11 21 19 13 20 22 SP SD: 1.1858 c. M:-1.7281 c. 131: 19 12 22 20 14 21 23 SP SD: 1.3755 c. M:-1.9294 c. 154: 22 14 26 24 16 25 27 SP SD: 1.3220 c. M:-2.5879 c. 166: 24 15 28 25 18 27 29 SP SD: 1.1986 c. M: 2.4817 c. 208: 30 19 35 32 22 33 37 SP SD: 1.1786 c. M: 2.1549 c. 210: 30 19 36 32 22 34 37 SP SD: 1.1429 c. M: 2.0554 c. 216: 31 20 36 33 23 35 38 SP SD: 0.7181 c. M:-1.2780 c. 243: 35 22 41 37 26 39 43 SP SD: 0.5842 c. M: 1.0391 c. 273: 39 25 46 42 29 44 48 SP SD: 0.6443 c. M: 1.0368 c. 320: 46 29 54 49 34 52 56 SP SD: 0.6071 c. M:-1.3066 c. 340: 49 31 57 52 36 55 60 SP SD: 0.5403 c. M: 0.8996 c. 370: 53 34 62 57 39 60 65 SP SD: 0.5397 c. M: 0.9763 c. 374: 54 34 63 57 40 60 66 SP SD: 0.4675 c. M:-0.7966 c. 397: 57 36 67 61 42 64 70 SP SD: 0.4749 c. M: 0.9471 c. 426: 61 39 72 65 45 69 75 SP SD: 0.3869 c. M: 0.6510 c. 516: 74 47 87 79 55 83 91 SP SD: 0.3866 c. M: 0.6600 c. 528: 76 48 89 81 56 85 93 SP SD: 0.3263 c. M:-0.6399 c. 545: 78 50 92 83 58 88 96 SP SD: 0.3342 c. M: 0.7223 c. 557: 80 51 94 85 59 90 98 SP SD: 0.2532 c. M:-0.5201 c. 669: 96 61 113 102 71 108 118 SP SD: 0.3009 c. M: 0.4410 c. 676: 97 62 114 103 72 109 119 SP SD: 0.2216 c. M:-0.3958 c. 681: 98 62 115 104 72 110 120 SP SD: 0.2383 c. M:-0.3619 c. 744: 107 68 125 114 79 120 131 SP SD: 0.1840 c. M: 0.3486 c. 800: 115 73 135 122 85 129 141 SP SD: 0.1322 c. M:-0.2804 c. 1016: 146 93 171 155 108 164 179 SP SD: 0.1374 c. M:-0.2281 c. 1170: 168 107 197 179 124 189 206 SP SD: 0.1089 c. M: 0.1577 c. 1289: 185 118 217 197 137 208 227 SP SD: 0.1041 c. M: 0.2389 c. 1413: 203 129 238 216 150 228 249 SP SD: 0.1027 c. M: 0.1583 c. 1544: 222 141 260 236 164 249 272 SP SD: 0.0637 c. M: 0.0923 c. 1970: 283 180 332 301 209 318 347 SP SD: 0.0621 c. M: 0.0934 c. 2089: 300 191 352 319 222 337 368 SP SD: 0.0639 c. M: 0.1342 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: 17.2065 cents 3 x x 4 x 5 x 6 S SD: 30.1350 cents 4 x x 5:6 x 7:8 S SD: 26.4156 cents 5 x 6 x 7:8:9:10 S SD: 19.5366 cents 6 x 7:8:9:10:11:12 S SD: 19.1983 cents 7 x 8:9:10:11:12:14 S SD: 17.2827 cents 8:9 x 11:12:13:14:16 SD: 15.9349 cents 9:10:11:12:13:14:16:18 S SD: 11.4980 cents 10:11:12:13:15:16:18:20 SD: 9.5321 cents 12:13:14:16:18:19:21:24 SD: 8.0175 cents 17:19:20:22:25:27:30:34 SD: 6.2287 cents 19:21:22:25:28:30:34:38 SD: 5.0821 cents 21:23:25:28:31:33:37:42 SD: 4.6840 cents 22:24:26:29:32:35:39:44 SD: 4.5232 cents 27:30:32:36:40:43:48:54 SD: 3.9647 cents 28:31:33:37:41:44:50:56 SD: 3.0677 cents 38:42:45:50:56:60:67:76 SD: 2.3779 cents 40:44:47:53:59:63:71:80 SD: 2.0042 cents 55:61:65:73:81:87:97:110 SD: 1.9278 cents 56:62:66:74:82:89:99:112 SD: 1.6337 cents 57:63:67:75:84:90:101:114 SD: 1.5889 cents 68:75:80:90:100:108:120:136 SD: 1.2233 cents 74:82:87:98:109:117:131:148 SD: 0.9873 cents 96:106:113:127:141:152:170:192 SD: 0.3429 cents 170:188:200:225:250:269:301:340 SD: 0.3248 cents 238:263:280:315:350:377:421:476 SD: 0.3230 cents 266:294:313:352:391:421:471:532 SD: 0.2032 cents 362:400:426:479:532:573:641:724 SD: 0.1945 cents 391:432:460:517:575:619:692:782 SD: 0.1534 cents 487:538:573:644:716:771:862:974 SD: 0.1212 cents 582:643:685:770:856:921:1030:1164 SD: 0.1143 cents