Scala analysis: CD17_15_Tunisia
Ô famille révérée, vous êtes mon espoir - L'ensemble de Muhammad Ghânim (husayn saba, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 149.515 cents 149.515152 2: 297.255 cents 297.254902 3: 497.220 cents 497.219694 4: 664.786 cents 664.785592 5: 796.116 cents 796.116401 6: 973.878 cents 973.877897 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 226.1221 cents 226.1221 1: 149.5152 cents 149.5152 2: 147.7397 cents 147.7397 3: 199.9648 cents 199.9648 4: 167.5659 cents 167.5659 5: 131.3308 cents 131.3308 6: 177.7615 cents 177.7615 7: 226.1221 cents 226.1221
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 131.33081 cents 1: 1 147.73975 cents 1: 1 149.51515 cents 1: 1 167.56590 cents 1: 1 177.76150 cents 1: 1 199.96479 cents 1: 1 226.12210 cents 2: 1 297.25490 cents 2: 1 298.89671 cents 2: 1 309.09231 cents 2: 1 347.70454 cents 2: 1 367.53069 cents 2: 1 375.63725 cents 2: 1 403.88360 cents 3: 1 476.65820 cents 3: 1 497.21969 cents 3: 1 498.86150 cents 3: 1 515.27044 cents 3: 1 523.37700 cents 3: 1 535.21441 cents 3: 1 553.39875 cents 4: 1 646.60125 cents 4: 1 664.78559 cents 4: 1 676.62300 cents 4: 1 684.72956 cents 4: 1 701.13850 cents 4: 1 702.78031 cents 4: 1 723.34180 cents 5: 1 796.11640 cents 5: 1 824.36275 cents 5: 1 832.46931 cents 5: 1 852.29546 cents 5: 1 890.90770 cents 5: 1 901.10329 cents 5: 1 902.74510 cents 6: 1 973.87790 cents 6: 1 1000.03521 cents 6: 1 1022.23850 cents 6: 1 1032.43410 cents 6: 1 1050.48485 cents 6: 1 1052.26025 cents 6: 1 1068.66919 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 : 149.5 297.3 497.2 664.8 796.1 973.9 1200.0 149.5 : 147.7 347.7 515.3 646.6 824.4 1050.5 1200.0 297.3 : 200.0 367.5 498.9 676.6 902.7 1052.3 1200.0 497.2 : 167.6 298.9 476.7 702.8 852.3 1000.0 1200.0 664.8 : 131.3 309.1 535.2 684.7 832.5 1032.4 1200.0 796.1 : 177.8 403.9 553.4 701.1 901.1 1068.7 1200.0 973.9 : 226.1 375.6 523.4 723.3 890.9 1022.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 131.3308 .. 226.1221 cents 94.79129 cents 131.33081 cents 2: 297.2549 .. 403.8836 cents 106.62870 cents 71.13280 cents 3: 476.6582 .. 553.3988 cents 76.74055 cents 72.77460 cents 4: 646.6012 .. 723.3418 cents 76.74055 cents 93.20250 cents 5: 796.1164 .. 902.7451 cents 106.62870 cents 72.77460 cents 6: 973.8779 .. 1068.6692 cents 94.79129 cents 71.13280 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 131.33081 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 226.12210 cents Average / Smallest step : 1.305319 Largest / Average step : 1.319046 Largest / Smallest step : 1.721775 Median interval of one step : 167.56590 cents, amount: 1 Least squares average step : 165.13340 cents, oct.: 1155.93379 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CBFDAEG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 71.13280 cents Scale diversity : 1.512909 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.536399 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 : 1.64180 cents Number of recognisable fifths : 2, average 701.9594 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 104.9869 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 37.8052 c. M:-61.0265 c. Lebeng 9: 1 1 2 1 1 1 2 P M ME S SD: 24.3902 c. M: 40.5446 c. Pseudo Pelog, Pelogic-7, Antiionian 12: 2 1 2 2 1 2 2 P M ME S SD: 25.3588 c. M:-50.4848 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 14: 2 1 3 2 1 2 3 P T3 SD: 25.0434 c. M: 40.1120 c. 15: 2 2 2 2 2 2 3 SP M ME S SD: 15.7924 c. M: 24.7856 c. 16: 2 2 3 2 2 2 3 SP M ME S SD: 15.6724 c. M:-28.8836 c. Pseudo Pelog, Pelogic-7, Antiionian 20: 2 3 3 3 2 3 4 SP D3 SD: 15.3550 c. M: 29.5152 c. 21: 3 2 4 3 2 3 4 SP T3 SD: 13.9577 c. M:-21.9134 c. 24: 3 3 4 3 3 3 5 SP T3 SD: 10.8190 c. M: 23.8779 c. 26: 3 3 5 3 3 4 5 SP SD: 12.7965 c. M: 20.3318 c. 27: 3 4 4 4 3 4 5 SP D3 SD: 8.9209 c. M: 16.1818 c. 31: 4 4 5 4 4 4 6 SP T3 SD: 9.1289 c. M:-16.7868 c. 32: 4 4 5 5 3 5 6 SP SD: 6.3480 c. M:-10.2144 c. 41: 5 5 7 6 4 6 8 SP SD: 5.3489 c. M:-8.3851 c. 48: 6 6 8 7 5 7 9 SP SD: 4.4106 c. M:-10.2144 c. 54: 7 6 9 8 6 8 10 SP SD: 5.4734 c. M: 8.3660 c. 56: 7 7 9 8 6 8 11 SP SD: 4.3042 c. M: 9.5922 c. 63: 8 8 10 9 7 9 12 SP SD: 3.6472 c. M:-7.5070 c. 65: 8 8 11 9 7 10 12 SP SD: 2.2218 c. M:-4.5836 c. 89: 11 11 15 12 10 13 17 SP SD: 2.1183 c. M: 4.1114 c. 90: 11 11 15 13 10 13 17 SP SD: 2.8664 c. M: 3.9216 c. 96: 12 12 16 13 11 14 18 SP SD: 2.3011 c. M:-3.8836 c. 101: 13 12 17 14 11 15 19 SP SD: 2.0045 c. M:-4.9403 c. 106: 13 13 18 15 11 16 20 SP SD: 2.3348 c. M: 3.6636 c. 113: 14 14 19 16 12 17 21 SP SD: 2.1417 c. M:-4.2410 c. 121: 15 15 20 17 13 18 23 SP SD: 1.4103 c. M: 2.7280 c. 128: 16 16 21 18 14 19 24 SP SD: 1.2206 c. M:-2.7451 c. 137: 17 17 23 19 15 20 26 SP SD: 1.1493 c. M:-2.0504 c. 186: 23 23 31 26 20 28 35 SP SD: 1.0999 c. M: 2.5680 c. 191: 24 23 32 27 21 28 36 SP SD: 1.2461 c. M: 1.9669 c. 193: 24 24 32 27 21 29 36 SP SD: 1.0065 c. M:-2.2879 c. 202: 25 25 34 28 22 30 38 SP SD: 0.8212 c. M:-1.7902 c. 217: 27 27 36 30 24 32 41 SP SD: 0.7513 c. M:-1.3626 c. 265: 33 33 44 37 29 39 50 SP SD: 0.8456 c. M:-1.6130 c. 271: 34 33 45 38 30 40 51 SP SD: 0.7868 c. M: 1.2787 c. 282: 35 35 47 39 31 42 53 SP SD: 0.6027 c. M: 0.9558 c. 323: 40 40 54 45 35 48 61 SP SD: 0.6157 c. M: 1.0700 c. 330: 41 41 55 46 36 49 62 SP SD: 0.6458 c. M:-0.9621 c. 372: 46 46 62 52 41 55 70 SP SD: 0.5741 c. M: 1.1281 c. 383: 48 47 64 53 42 57 72 SP SD: 0.5992 c. M:-0.9526 c. 392: 49 48 65 55 43 58 74 SP SD: 0.5958 c. M: 1.3013 c. 403: 50 50 67 56 44 60 76 SP SD: 0.5913 c. M: 1.0792 c. 408: 51 50 68 57 45 60 77 SP SD: 0.4335 c. M:-0.9424 c. 415: 52 51 69 58 45 62 78 SP SD: 0.5797 c. M: 0.9357 c. 419: 52 52 70 58 46 62 79 SP SD: 0.5446 c. M:-1.1097 c. 424: 53 52 71 59 46 63 80 SP SD: 0.5232 c. M:-0.8935 c. 439: 55 54 73 61 48 65 83 SP SD: 0.6057 c. M:-0.8265 c. 440: 55 54 73 62 48 65 83 SP SD: 0.4683 c. M: 0.8561 c. 451: 56 56 75 63 49 67 85 SP SD: 0.4487 c. M:-0.7495 c. 466: 58 57 78 65 51 69 88 SP SD: 0.5203 c. M: 1.1176 c. 473: 59 58 79 66 52 70 89 SP SD: 0.2875 c. M:-0.5009 c. 594: 74 73 99 83 65 88 112 SP SD: 0.1724 c. M: 0.2852 c. 722: 90 89 120 101 79 107 136 SP SD: 0.1452 c. M: 0.2668 c. 924: 115 114 154 129 101 137 174 SP SD: 0.1346 c. M:-0.1829 c. 1195: 149 147 199 167 131 177 225 SP SD: 0.1240 c. M:-0.2016 c. 1316: 164 162 219 184 144 195 248 SP SD: 0.1035 c. M: 0.2592 c. 1332: 166 164 222 186 146 197 251 SP SD: 0.1157 c. M:-0.2800 c. 1453: 181 179 242 203 159 215 274 SP SD: 0.0734 c. M: 0.1683 c. 1518: 189 187 253 212 166 225 286 SP SD: 0.0530 c. M: 0.1080 c. 2112: 263 260 352 295 231 313 398 SP SD: 0.0643 c. M: 0.0958 c. 2208: 275 272 368 308 242 327 416 SP SD: 0.0634 c. M: 0.1117 c. 2240: 279 276 373 313 245 332 422 SP SD: 0.0518 c. M: 0.0768 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: 18.5847 cents 3 x x 4 x 5 x 6 S SD: 29.4154 cents 4 x 5 x 6 x 7:8 S SD: 24.1591 cents 5 x 6 x 7:8:9:10 S SD: 19.3152 cents 6 x 7:8:9:10:11:12 S SD: 20.9431 cents 7 x 8:9:10:11:12:14 S SD: 18.4922 cents 9:10:11:12:13:14:16:18 S SD: 10.9339 cents 11:12:13:15:16:17:19:22 SD: 9.5561 cents 12:13:14:16:18:19:21:24 SD: 7.0725 cents 20:22:24:27:29:32:35:40 SD: 6.1844 cents 21:23:25:28:31:33:37:42 SD: 2.8764 cents 32:35:38:43:47:51:56:64 SD: 2.7800 cents 36:39:43:48:53:57:63:72 SD: 2.3757 cents 43:47:51:57:63:68:75:86 SD: 2.2417 cents 53:58:63:71:78:84:93:106 SD: 1.7290 cents 58:63:69:77:85:92:102:116 SD: 1.5932 cents 69:75:82:92:101:109:121:138 SD: 1.2705 cents 75:82:89:100:110:119:132:150 SD: 1.1242 cents 90:98:107:120:132:143:158:180 SD: 0.9450 cents 111:121:132:148:163:176:195:222 SD: 0.5440 cents 154:168:183:205:226:244:270:308 SD: 0.4862 cents 156:170:185:208:229:247:274:312 SD: 0.3921 cents 235:256:279:313:345:372:412:470 SD: 0.3869 cents 241:263:286:321:354:382:423:482 SD: 0.3837 cents 246:268:292:328:361:390:432:492 SD: 0.3704 cents 252:275:299:336:370:399:442:504 SD: 0.3663 cents 265:289:315:353:389:420:465:530 SD: 0.3630 cents 267:291:317:356:392:423:469:534 SD: 0.2544 cents 310:338:368:413:455:491:544:620 SD: 0.1250 cents 421:459:500:561:618:667:739:842 SD: 0.1160 cents 577:629:685:769:847:914:1013:1154 SD: 0.0947 cents