Scala analysis: CD18_11_Tunisia
Circoncis, ô circonciseur ! - L'ensemble de Muhammad Ghânim (muhayyar iraq, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 114.539 cents 114.539275 2: 320.906 cents 320.906303 3: 555.948 cents 555.947964 4: 696.807 cents 696.807143 5: 813.558 cents 813.558055 6: 1024.686 cents 1024.686396 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 175.3136 cents 175.3136 1: 114.5393 cents 114.5393 2: 206.3670 cents 206.3670 3: 235.0417 cents 235.0417 4: 140.8592 cents 140.8592 5: 116.7509 cents 116.7509 6: 211.1283 cents 211.1283 7: 175.3136 cents 175.3136
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 114.53927 cents 1: 1 116.75091 cents 1: 1 140.85918 cents 1: 1 175.31360 cents 1: 1 206.36703 cents 1: 1 211.12834 cents 1: 1 235.04166 cents 2: 1 257.61009 cents 2: 1 289.85288 cents 2: 1 320.90630 cents 2: 1 327.87925 cents 2: 1 375.90084 cents 2: 1 386.44195 cents 2: 1 441.40869 cents 3: 1 468.73843 cents 3: 1 492.65175 cents 3: 1 496.21991 cents 3: 1 500.98122 cents 3: 1 503.19286 cents 3: 1 555.94796 cents 3: 1 582.26787 cents 4: 1 617.73213 cents 4: 1 644.05204 cents 4: 1 696.80714 cents 4: 1 699.01878 cents 4: 1 703.78009 cents 4: 1 707.34825 cents 4: 1 731.26157 cents 5: 1 758.59131 cents 5: 1 813.55805 cents 5: 1 824.09916 cents 5: 1 872.12075 cents 5: 1 879.09370 cents 5: 1 910.14712 cents 5: 1 942.38991 cents 6: 1 964.95834 cents 6: 1 988.87166 cents 6: 1 993.63297 cents 6: 1 1024.68640 cents 6: 1 1059.14082 cents 6: 1 1083.24909 cents 6: 1 1085.46072 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 : 114.5 320.9 555.9 696.8 813.6 1024.7 1200.0 114.5 : 206.4 441.4 582.3 699.0 910.1 1085.5 1200.0 320.9 : 235.0 375.9 492.7 703.8 879.1 993.6 1200.0 555.9 : 140.9 257.6 468.7 644.1 758.6 965.0 1200.0 696.8 : 116.8 327.9 503.2 617.7 824.1 1059.1 1200.0 813.6 : 211.1 386.4 501.0 707.3 942.4 1083.2 1200.0 1024.7: 175.3 289.9 496.2 731.3 872.1 988.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 114.5393 .. 235.0417 cents 120.50239 cents 114.53927 cents 2: 257.6101 .. 441.4087 cents 183.79860 cents 22.56843 cents 3: 468.7384 .. 582.2679 cents 113.52944 cents 27.32974 cents 4: 617.7321 .. 731.2616 cents 113.52944 cents 35.46426 cents 5: 758.5913 .. 942.3899 cents 183.79860 cents 27.32974 cents 6: 964.9583 .. 1085.4607 cents 120.50239 cents 22.56843 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 114.53927 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 235.04166 cents Average / Smallest step : 1.496679 Largest / Average step : 1.371076 Largest / Smallest step : 2.052062 Median interval of one step : 175.31360 cents, amount: 1 Least squares average step : 170.19524 cents, oct.: 1191.36665 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : AEGCBFD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 22.56843 cents Scale diversity : 1.634647 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.303616 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 : 2.21164 cents Number of recognisable fifths : 4, average 701.7386 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 32.7147 c. M:-56.8893 c. Lebeng 9: 1 1 2 1 1 2 1 P M ME S SD: 30.8480 c. M: 54.2396 c. 10: 1 2 2 1 1 2 1 P D3 S SD: 33.3711 c. M:-55.3136 c. 11: 1 2 2 1 1 2 2 P D3 S SD: 29.9910 c. M: 49.9217 c. 12: 1 2 2 2 1 2 2 P M ME S SD: 25.5848 c. M: 55.9480 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 15: 1 3 3 2 1 3 2 N SD: 17.5924 c. M: 34.5393 c. 19: 2 3 4 2 2 3 3 P SD: 9.1136 c. M: 14.1601 c. 22: 2 4 4 3 2 4 3 P SD: 8.3577 c. M:-12.2838 c. Gandhaara Grama (Popley), Murchhana Matsarikrita 33: 3 6 6 4 3 6 5 SP SD: 7.9395 c. M: 13.5581 c. 34: 3 6 7 4 3 6 5 P SD: 5.9663 c. M:-9.0752 c. 41: 4 7 8 5 4 7 6 SP SD: 3.2687 c. M:-5.9541 c. 74: 7 13 14 9 7 13 11 SP SD: 2.7004 c. M: 4.5966 c. 91: 9 15 18 11 9 16 13 SP SD: 3.3125 c. M: 4.4228 c. 93: 9 16 18 11 9 16 14 SP SD: 2.2493 c. M: 5.3316 c. 97: 9 17 19 11 10 17 14 SP SD: 2.4099 c. M: 4.0236 c. 102: 10 17 20 12 10 18 15 SP SD: 2.4234 c. M: 3.2592 c. 103: 10 18 20 12 10 18 15 SP SD: 2.7232 c. M:-5.3073 c. 105: 10 18 21 12 10 19 15 SP SD: 2.3005 c. M:-4.0520 c. 108: 10 19 21 13 10 19 16 SP SD: 2.2644 c. M: 3.4282 c. 112: 11 19 22 13 11 20 16 SP SD: 2.0169 c. M:-3.8850 c. 115: 11 20 22 14 11 20 17 SP SD: 1.8880 c. M: 2.9045 c. 136: 13 23 27 16 13 24 20 SP SD: 1.4771 c. M: 3.2592 c. 145: 14 25 28 17 14 26 21 SP SD: 1.6336 c. M: 2.5236 c. 153: 15 26 30 18 15 27 22 SP SD: 1.8756 c. M:-3.1078 c. 157: 15 27 31 18 15 28 23 SP SD: 1.5699 c. M: 3.3670 c. 158: 15 27 31 19 15 28 23 SP SD: 1.2697 c. M:-1.9270 c. 177: 17 30 35 21 17 31 26 SP SD: 1.1206 c. M: 2.2622 c. 179: 17 31 35 21 17 32 26 SP SD: 1.0825 c. M: 2.3849 c. 186: 18 32 36 22 18 33 27 SP SD: 1.0853 c. M:-1.6743 c. 198: 19 34 39 23 19 35 29 SP SD: 0.8788 c. M:-1.6278 c. 220: 21 38 43 26 21 39 32 SP SD: 0.7722 c. M:-1.3747 c. 239: 23 41 47 28 23 42 35 SP SD: 0.7909 c. M:-1.3742 c. 261: 25 45 51 31 25 46 38 SP SD: 0.9075 c. M:-2.0434 c. 274: 26 47 54 32 27 48 40 SP SD: 0.6824 c. M: 1.1983 c. 307: 29 53 60 36 30 54 45 SP SD: 0.7618 c. M: 1.1842 c. 313: 30 54 61 37 30 55 46 SP SD: 0.7687 c. M:-1.1384 c. 315: 30 54 62 37 31 55 46 SP SD: 0.7450 c. M:-1.6800 c. 317: 30 55 62 37 31 56 46 SP SD: 0.7106 c. M:-1.1811 c. 322: 31 55 63 38 31 57 47 SP SD: 0.6452 c. M: 1.1357 c. 336: 32 58 66 39 33 59 49 SP SD: 0.6019 c. M:-1.1949 c. 348: 33 60 68 41 34 61 51 SP SD: 0.4820 c. M: 0.7756 c. 410: 39 71 80 48 40 72 60 SP SD: 0.4497 c. M:-1.0449 c. 419: 40 72 82 49 41 74 61 SP SD: 0.4301 c. M: 0.8644 c. 453: 43 78 89 53 44 80 66 SP SD: 0.3781 c. M: 0.6320 c. 460: 44 79 90 54 45 81 67 SP SD: 0.3018 c. M:-0.5310 c. 494: 47 85 97 58 48 87 72 SP SD: 0.3057 c. M:-0.4148 c. 546: 52 94 107 64 53 96 80 SP SD: 0.2628 c. M: 0.5106 c. 587: 56 101 115 69 57 103 86 SP SD: 0.2250 c. M: 0.4956 c. 658: 63 113 129 77 64 116 96 SP SD: 0.2149 c. M:-0.3543 c. 699: 67 120 137 82 68 123 102 SP SD: 0.2486 c. M:-0.4822 c. 773: 74 133 151 91 75 136 113 SP SD: 0.2429 c. M:-0.4391 c. 816: 78 140 160 96 79 144 119 SP SD: 0.2388 c. M: 0.3228 c. 870: 83 150 170 102 85 153 127 SP SD: 0.2314 c. M:-0.4730 c. 904: 86 156 177 106 88 159 132 SP SD: 0.2264 c. M: 0.3800 c. 932: 89 160 183 109 91 164 136 SP SD: 0.2081 c. M: 0.3054 c. 987: 94 170 193 116 96 174 144 SP SD: 0.2026 c. M: 0.3249 c. 1006: 96 173 197 118 98 177 147 SP SD: 0.0813 c. M: 0.1869 c. 1226: 117 211 240 144 119 216 179 SP SD: 0.1021 c. M: 0.1812 c. 1500: 143 258 294 176 146 264 219 SP SD: 0.0829 c. M: 0.1393 c. 1593: 152 274 312 187 155 280 233 SP SD: 0.0789 c. M: 0.2043 c. 1863: 178 320 365 219 181 328 272 SP SD: 0.0980 c. M: 0.1334 c. 2034: 194 350 398 239 198 358 297 SP SD: 0.0913 c. M: 0.1958 c. 2046: 195 352 401 240 199 360 299 SP SD: 0.0834 c. M: 0.1698 c. 2053: 196 353 402 241 200 361 300 SP SD: 0.0533 c. M:-0.0805 c. 2251: 215 387 441 264 219 396 329 SP SD: 0.0564 c. M:-0.0765 c. 2273: 217 391 445 267 221 400 332 SP SD: 0.0449 c. M:-0.0792 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: 2.5739 cents 3 x x 4 x 5 x 6 S SD: 30.4877 cents 4 x 5 x 6 x 7:8 S SD: 21.5421 cents 5 x 6:7 x 8:9:10 S SD: 5.5988 cents 6 x 7:8:9:10:11:12 S SD: 18.1970 cents 7 x 8:10 x 11:13:14 SD: 24.5068 cents 8:9:10:11:12:13:14:16 S SD: 18.1608 cents 9:10:11:12:13:14:16:18 S SD: 17.7668 cents 10:11:12:14:15:16:18:20 S SD: 8.2769 cents 14:15:17:19:21:22:25:28 SD: 7.0374 cents 15:16:18:21:22:24:27:30 S SD: 6.2778 cents 16:17:19:22:24:26:29:32 SD: 5.4179 cents 24:26:29:33:36:38:43:48 SD: 4.9967 cents 26:28:31:36:39:42:47:52 SD: 4.0878 cents 29:31:35:40:43:46:52:58 SD: 3.6525 cents 30:32:36:41:45:48:54:60 SD: 2.6421 cents 40:43:48:55:60:64:72:80 SD: 2.2117 cents 45:48:54:62:67:72:81:90 SD: 1.7311 cents 58:62:70:80:87:93:105:116 SD: 1.2166 cents 73:78:88:101:109:117:132:146 SD: 1.1266 cents 87:93:105:120:130:139:157:174 SD: 0.8819 cents 103:110:124:142:154:165:186:206 SD: 0.4048 cents 177:189:213:244:265:283:320:354 SD: 0.3538 cents 222:237:267:306:332:355:401:444 SD: 0.3389 cents 250:267:301:345:374:400:452:500 SD: 0.2870 cents 275:294:331:379:411:440:497:550 SD: 0.2485 cents 280:299:337:386:419:448:506:560 SD: 0.1978 cents 383:409:461:528:573:613:692:766 SD: 0.1969 cents 412:440:496:568:616:659:745:824 SD: 0.1847 cents 422:451:508:582:631:675:763:844 SD: 0.1642 cents 452:483:544:623:676:723:817:904 SD: 0.0977 cents 555:593:668:765:830:888:1003:1110 SD: 0.0660 cents