Scala analysis: CD18_07_Tunisia
Istikhbâr, rbâb / Istikhbâr, 'ûd 'Arabî - L'ensemble de Muhammad Ghânim (mazmum, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 129.324 cents 129.324181 2: 318.477 cents 318.476523 3: 505.029 cents 505.028688 4: 622.867 cents 622.866778 5: 824.991 cents 824.990640 6: 1045.516 cents 1045.515851 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 154.4841 cents 154.4841 1: 129.3242 cents 129.3242 2: 189.1523 cents 189.1523 3: 186.5522 cents 186.5522 4: 117.8381 cents 117.8381 5: 202.1239 cents 202.1239 6: 220.5252 cents 220.5252 7: 154.4841 cents 154.4841
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 117.83809 cents 1: 1 129.32418 cents 1: 1 154.48415 cents 1: 1 186.55216 cents 1: 1 189.15234 cents 1: 1 202.12386 cents 1: 1 220.52521 cents 2: 1 283.80833 cents 2: 1 304.39025 cents 2: 1 318.47652 cents 2: 1 319.96195 cents 2: 1 375.00936 cents 2: 1 375.70451 cents 2: 1 422.64907 cents 3: 1 472.96067 cents 3: 1 493.54260 cents 3: 1 504.33354 cents 3: 1 505.02869 cents 3: 1 506.51412 cents 3: 1 540.48716 cents 3: 1 577.13322 cents 4: 1 622.86678 cents 4: 1 659.51284 cents 4: 1 693.48588 cents 4: 1 694.97131 cents 4: 1 695.66646 cents 4: 1 706.45740 cents 4: 1 727.03933 cents 5: 1 777.35093 cents 5: 1 824.29549 cents 5: 1 824.99064 cents 5: 1 880.03805 cents 5: 1 881.52348 cents 5: 1 895.60974 cents 5: 1 916.19167 cents 6: 1 979.47479 cents 6: 1 997.87614 cents 6: 1 1010.84766 cents 6: 1 1013.44784 cents 6: 1 1045.51585 cents 6: 1 1070.67582 cents 6: 1 1082.16191 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 : 129.3 318.5 505.0 622.9 825.0 1045.5 1200.0 129.3 : 189.2 375.7 493.5 695.7 916.2 1070.7 1200.0 318.5 : 186.6 304.4 506.5 727.0 881.5 1010.8 1200.0 505.0 : 117.8 320.0 540.5 695.0 824.3 1013.4 1200.0 622.9 : 202.1 422.6 577.1 706.5 895.6 1082.2 1200.0 825.0 : 220.5 375.0 504.3 693.5 880.0 997.9 1200.0 1045.5: 154.5 283.8 473.0 659.5 777.4 979.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 117.8381 .. 220.5252 cents 102.68712 cents 117.83809 cents 2: 283.8083 .. 422.6491 cents 138.84074 cents 63.28312 cents 3: 472.9607 .. 577.1332 cents 104.17255 cents 50.31160 cents 4: 622.8668 .. 727.0393 cents 104.17255 cents 45.73356 cents 5: 777.3509 .. 916.1917 cents 138.84074 cents 50.31160 cents 6: 979.4748 .. 1082.1619 cents 102.68712 cents 63.28312 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 117.83809 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 220.52521 cents Average / Smallest step : 1.454781 Largest / Average step : 1.286397 Largest / Smallest step : 1.871426 Median interval of one step : 186.55216 cents, amount: 1 Least squares average step : 168.36342 cents, oct.: 1178.54394 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : BEDAFGC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 45.73356 cents Scale diversity : 1.589332 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.423833 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 : 0.69515 cents Number of recognisable fifths : 4, average 697.6453 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: 33.2170 c. M:-62.8475 c. Lebeng 9: 1 1 2 1 1 2 1 P M ME S SD: 30.4533 c. M: 51.8099 c. 10: 1 2 1 1 2 2 1 P D3 S SD: 24.9997 c. M:-41.5235 c. 12: 1 2 2 1 2 2 2 P M ME S SD: 25.2012 c. M: 45.5159 c. G.Mixolydian, G.Hyperdorian, M.Hypophrygian, M.Locrian, G.M.Hyperaeolian, Rut biscale descending, Pien chih: China, Makam Lami, Yishtabach: Jewish 14: 2 2 2 1 3 2 2 P T3 SD: 24.7751 c. M:-42.1044 c. 15: 2 2 2 2 2 3 2 SP M ME S SD: 18.9671 c. M:-30.6758 c. 16: 2 2 3 1 3 3 2 P T3 SD: 15.6329 c. M: 22.8668 c. 17: 2 3 2 2 3 3 2 SP D3 S SD: 17.9916 c. M:-34.4647 c. Dastgah-e Sehgah 19: 2 3 3 2 3 4 2 P SD: 11.3464 c. M:-28.1684 c. 26: 3 4 4 3 4 5 3 SP SD: 11.6137 c. M:-23.2871 c. 27: 3 4 4 3 5 5 3 P SD: 12.8566 c. M:-21.1508 c. 29: 3 5 4 3 5 5 4 SP SD: 7.4610 c. M:-12.5580 c. 31: 3 5 5 3 5 6 4 SP SD: 7.6844 c. M: 13.1951 c. 38: 4 6 6 4 6 7 5 SP SD: 4.1295 c. M:-8.7122 c. 48: 5 8 7 5 8 9 6 SP SD: 3.9857 c. M:-6.5235 c. 64: 7 10 10 6 11 12 8 SP SD: 2.4591 c. M:-4.4841 c. 83: 9 13 13 8 14 15 11 SP SD: 1.8785 c. M: 4.5520 c. 93: 10 15 14 9 16 17 12 SP SD: 2.1812 c. M:-4.1041 c. 95: 10 15 15 9 16 18 12 SP SD: 2.8192 c. M: 3.9380 c. 100: 11 16 15 10 17 18 13 SP SD: 2.7089 c. M:-5.5235 c. 102: 11 16 16 10 17 19 13 SP SD: 0.9546 c. M:-1.5430 c. 185: 20 29 29 18 31 34 24 SP SD: 0.7853 c. M: 1.2069 c. 233: 25 37 36 23 39 43 30 SP SD: 0.5515 c. M: 0.9563 c. 297: 32 47 46 29 50 55 38 SP SD: 0.5842 c. M:-0.9488 c. 335: 36 53 52 33 56 62 43 SP SD: 0.5153 c. M: 1.1100 c. 380: 41 60 59 37 64 70 49 SP SD: 0.4708 c. M: 0.7801 c. 418: 45 66 65 41 70 77 54 SP SD: 0.4702 c. M: 1.0672 c. 426: 46 67 66 42 72 78 55 SP SD: 0.4099 c. M: 0.8033 c. 445: 48 70 69 44 75 82 57 SP SD: 0.4312 c. M:-0.7763 c. 464: 50 73 72 46 78 85 60 SP SD: 0.4304 c. M: 0.7183 c. 482: 52 76 75 47 81 89 62 SP SD: 0.4264 c. M: 0.9242 c. 528: 57 83 82 52 89 97 68 SP SD: 0.2368 c. M: 0.4832 c. 566: 61 89 88 56 95 104 73 SP SD: 0.3275 c. M: 0.4553 c. 630: 68 99 98 62 106 116 81 SP SD: 0.2230 c. M: 0.3813 c. 761: 82 120 118 75 128 140 98 SP SD: 0.1971 c. M: 0.4295 c. 825: 89 130 128 81 139 152 106 SP SD: 0.2320 c. M: 0.3213 c. 855: 92 135 133 84 144 157 110 SP SD: 0.1995 c. M:-0.2911 c. 938: 101 148 146 92 158 172 121 SP SD: 0.1935 c. M: 0.3133 c. 1002: 108 158 156 98 169 184 129 SP SD: 0.1584 c. M:-0.3605 c. 1171: 126 185 182 115 197 215 151 SP SD: 0.1810 c. M: 0.2554 c. 1235: 133 195 192 121 208 227 159 SP SD: 0.1306 c. M:-0.2345 c. 1383: 149 218 215 136 233 254 178 SP SD: 0.0859 c. M:-0.1720 c. 1485: 160 234 231 146 250 273 191 SP SD: 0.0927 c. M:-0.1635 c. 1514: 163 239 235 149 255 278 195 SP SD: 0.1136 c. M:-0.1496 c. 1530: 165 241 238 150 258 281 197 SP SD: 0.0770 c. M: 0.1217 c. 1568: 169 247 244 154 264 288 202 SP SD: 0.0734 c. M: 0.1092 c. 1763: 190 278 274 173 297 324 227 SP SD: 0.0404 c. M:-0.0714 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: 39.5441 cents 3 x x 4 x 5 x 6 S SD: 19.9258 cents 4 x 5 x 6 x 7:8 S SD: 32.3440 cents 5 x 6 x 7:8:9:10 S SD: 10.0873 cents 6 x 7:8:9:10:11:12 S SD: 18.6385 cents 7 x 8:9:10:11:13:14 SD: 20.4360 cents 8:9:10:11 x 13:15:16 SD: 19.9839 cents 9:10:11:12:13:15:16:18 SD: 14.1852 cents 10:11:12:13:14:16:18:20 S SD: 11.4277 cents 11:12:13:15:16:18:20:22 SD: 8.8856 cents 14:15:17:19:20:23:26:28 SD: 7.6545 cents 16:17:19:21:23:26:29:32 SD: 7.4654 cents 18:19:22:24:26:29:33:36 SD: 6.9490 cents 21:23:25:28:30:34:38:42 SD: 5.6873 cents 23:25:28:31:33:37:42:46 SD: 4.2091 cents 26:28:31:35:37:42:48:52 SD: 3.8175 cents 30:32:36:40:43:48:55:60 SD: 3.2232 cents 35:38:42:47:50:56:64:70 SD: 2.7254 cents 39:42:47:52:56:63:71:78 SD: 1.9124 cents 51:55:61:68:73:82:93:102 SD: 1.8326 cents 53:57:64:71:76:85:97:106 SD: 1.6365 cents 64:69:77:86:92:103:117:128 SD: 1.2578 cents 65:70:78:87:93:105:119:130 SD: 0.9722 cents 88:95:106:118:126:142:161:176 SD: 0.9640 cents 100:108:120:134:143:161:183:200 SD: 0.9051 cents 104:112:125:139:149:167:190:208 SD: 0.9019 cents 113:122:136:151:162:182:207:226 SD: 0.8192 cents 115:124:138:154:165:185:210:230 SD: 0.7405 cents 118:127:142:158:169:190:216:236 SD: 0.4755 cents 169:182:203:226:242:272:309:338 SD: 0.4363 cents 192:207:231:257:275:309:351:384 SD: 0.3780 cents 233:251:280:312:334:375:426:466 SD: 0.2435 cents 257:277:309:344:368:414:470:514 SD: 0.2355 cents 298:321:358:399:427:480:545:596 SD: 0.1750 cents 411:443:494:550:589:662:752:822 SD: 0.1363 cents 490:528:589:656:702:789:896:980 SD: 0.1219 cents