Scala analysis: CD17_08_Tunisia
Suite - 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: 191.627 cents 191.626667 2: 294.652 cents 294.652176 3: 480.943 cents 480.942807 4: 669.397 cents 669.396515 5: 799.754 cents 799.754068 6: 988.328 cents 988.327832 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 211.6722 cents 211.6722 1: 191.6267 cents 191.6267 2: 103.0255 cents 103.0255 3: 186.2906 cents 186.2906 4: 188.4537 cents 188.4537 5: 130.3576 cents 130.3576 6: 188.5738 cents 188.5738 7: 211.6722 cents 211.6722
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 103.02551 cents 1: 1 130.35755 cents 1: 1 186.29063 cents 1: 1 188.45371 cents 1: 1 188.57376 cents 1: 1 191.62667 cents 1: 1 211.67217 cents 2: 1 289.31614 cents 2: 1 294.65218 cents 2: 1 318.81126 cents 2: 1 318.93132 cents 2: 1 374.74434 cents 2: 1 400.24593 cents 2: 1 403.29883 cents 3: 1 477.76985 cents 3: 1 480.94281 cents 3: 1 505.10189 cents 3: 1 506.32434 cents 3: 1 507.38502 cents 3: 1 530.60348 cents 3: 1 591.87260 cents 4: 1 608.12740 cents 4: 1 669.39652 cents 4: 1 692.61498 cents 4: 1 693.67566 cents 4: 1 694.89811 cents 4: 1 719.05719 cents 4: 1 722.23015 cents 5: 1 796.70116 cents 5: 1 799.75407 cents 5: 1 825.25566 cents 5: 1 881.06868 cents 5: 1 881.18874 cents 5: 1 905.34782 cents 5: 1 910.68386 cents 6: 1 988.32783 cents 6: 1 1008.37333 cents 6: 1 1011.42624 cents 6: 1 1011.54629 cents 6: 1 1013.70937 cents 6: 1 1069.64245 cents 6: 1 1096.97449 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 : 191.6 294.7 480.9 669.4 799.8 988.3 1200.0 191.6 : 103.0 289.3 477.8 608.1 796.7 1008.4 1200.0 294.7 : 186.3 374.7 505.1 693.7 905.3 1097.0 1200.0 480.9 : 188.5 318.8 507.4 719.1 910.7 1013.7 1200.0 669.4 : 130.4 318.9 530.6 722.2 825.3 1011.5 1200.0 799.8 : 188.6 400.2 591.9 694.9 881.2 1069.6 1200.0 988.3 : 211.7 403.3 506.3 692.6 881.1 1011.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 103.0255 .. 211.6722 cents 108.64666 cents 103.02551 cents 2: 289.3161 .. 403.2988 cents 113.98270 cents 77.64397 cents 3: 477.7698 .. 591.8726 cents 114.10275 cents 74.47101 cents 4: 608.1274 .. 722.2302 cents 114.10275 cents 16.25480 cents 5: 796.7012 .. 910.6839 cents 113.98270 cents 74.47101 cents 6: 988.3278 .. 1096.9745 cents 108.64666 cents 77.64397 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 103.02551 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 211.67217 cents Average / Smallest step : 1.663943 Largest / Average step : 1.234754 Largest / Smallest step : 2.054561 Median interval of one step : 188.45371 cents, amount: 1 Least squares average step : 165.92916 cents, oct.: 1161.50414 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : FACDBEG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 16.25480 cents Scale diversity : 1.541096 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.438780 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 : 0.12006 cents Number of recognisable fifths : 4, average 700.0615 cents Number of appreciable fifths : 3, average 693.7296 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 110.9298 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 35.9021 c. M:-57.3888 c. Lebeng 11: 2 1 1 2 1 2 2 N D3 SD: 27.5785 c. M: 44.5792 c. 12: 2 1 2 2 1 2 2 P M ME S SD: 14.8071 c. M:-30.6035 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 18: 3 1 3 3 2 3 3 P T3 SD: 13.0978 c. M: 27.9855 c. 21: 3 2 3 4 2 3 4 SP T3 SD: 15.1479 c. M: 23.7999 c. 23: 4 2 3 4 2 4 4 N SD: 12.7640 c. M:-18.3913 c. 24: 4 2 4 3 3 4 4 P SD: 11.7984 c. M: 19.3965 c. 25: 4 2 4 4 3 4 4 SP T3 SD: 10.0213 c. M:-19.6722 c. 27: 4 3 4 4 3 4 5 SP T3 S SD: 9.5965 c. M:-16.4589 c. 29: 5 2 5 4 3 5 5 N SD: 10.4321 c. M:-15.6089 c. 30: 5 2 5 5 3 5 5 P T3 SD: 8.7376 c. M: 14.6522 c. 32: 5 3 5 5 3 5 6 P T3 S SD: 7.9984 c. M: 13.3278 c. 33: 5 3 5 5 4 5 6 SP SD: 7.9346 c. M: 14.8511 c. 38: 6 3 6 6 4 6 7 P SD: 7.5494 c. M: 10.4416 c. 40: 6 4 6 6 5 6 7 SP SD: 7.1787 c. M: 11.6267 c. 45: 7 4 7 7 5 7 8 SP SD: 2.3146 c. M: 4.9600 c. 57: 9 5 9 9 6 9 10 SP SD: 2.2386 c. M:-4.2877 c. 95: 15 8 15 15 10 15 17 SP SD: 2.6094 c. M: 4.1259 c. 102: 16 9 16 16 11 16 18 SP SD: 1.4767 c. M: 3.3914 c. 113: 18 10 17 18 12 18 20 SP SD: 2.0137 c. M: 3.2939 c. 125: 20 11 19 20 13 20 22 SP SD: 1.9066 c. M: 2.9541 c. 138: 22 12 21 22 15 22 24 SP SD: 1.5696 c. M:-2.9765 c. 143: 23 12 22 23 15 23 25 SP SD: 1.8305 c. M: 2.6211 c. 147: 23 13 23 23 16 23 26 SP SD: 1.5331 c. M: 3.8716 c. 152: 24 13 24 24 16 24 27 SP SD: 1.7796 c. M: 2.5469 c. 154: 25 13 24 24 17 24 27 SP SD: 1.9714 c. M:-3.1785 c. 158: 25 14 24 25 17 25 28 SP SD: 1.6397 c. M: 2.4618 c. 159: 25 14 25 25 17 25 28 SP SD: 1.6290 c. M: 2.9474 c. 163: 26 14 25 26 18 25 29 SP SD: 1.5503 c. M:-2.6999 c. 170: 27 15 26 27 18 27 30 SP SD: 1.2616 c. M: 2.1070 c. 183: 29 16 28 29 20 29 32 SP SD: 1.2612 c. M: 2.2543 c. 187: 30 16 29 29 21 29 33 SP SD: 1.2509 c. M:-2.3850 c. 192: 31 16 30 30 21 30 34 SP SD: 0.9696 c. M:-2.1233 c. 215: 34 19 33 34 23 34 38 SP SD: 1.1095 c. M: 1.8592 c. 219: 35 19 34 34 24 34 39 SP SD: 1.0757 c. M: 2.0265 c. 237: 38 20 37 37 26 37 42 SP SD: 0.7263 c. M: 1.0421 c. 249: 40 21 39 39 27 39 44 SP SD: 0.6732 c. M:-1.1444 c. 282: 45 24 44 44 31 44 50 SP SD: 0.7630 c. M: 1.3114 c. 294: 47 25 46 46 32 46 52 SP SD: 0.4642 c. M: 0.7746 c. 339: 54 29 53 53 37 53 60 SP SD: 0.5182 c. M: 0.8469 c. 357: 57 31 55 56 39 56 63 SP SD: 0.4922 c. M:-1.1461 c. 362: 58 31 56 57 39 57 64 SP SD: 0.4847 c. M: 0.8590 c. 369: 59 32 57 58 40 58 65 SP SD: 0.5670 c. M:-1.2828 c. 375: 60 32 58 59 41 59 66 SP SD: 0.4973 c. M: 0.9428 c. 387: 62 33 60 61 42 61 68 SP SD: 0.4417 c. M:-0.8195 c. 407: 65 35 63 64 44 64 72 SP SD: 0.3948 c. M: 0.7369 c. 432: 69 37 67 68 47 68 76 SP SD: 0.2859 c. M:-0.5611 c. 477: 76 41 74 75 52 75 84 SP SD: 0.3178 c. M: 0.4397 c. 606: 97 52 94 95 66 95 107 SP SD: 0.2765 c. M:-0.4525 c. 651: 104 56 101 102 71 102 115 SP SD: 0.2206 c. M: 0.3094 c. 726: 116 62 113 114 79 114 128 SP SD: 0.1989 c. M: 0.4373 c. 839: 134 72 130 132 91 132 148 SP SD: 0.1659 c. M: 0.3707 c. 896: 143 77 139 141 97 141 158 SP SD: 0.1396 c. M:-0.2463 c. 1038: 166 89 161 163 113 163 183 SP SD: 0.1578 c. M:-0.2808 c. 1083: 173 93 168 170 118 170 191 SP SD: 0.1178 c. M:-0.2459 c. 1133: 181 97 176 178 123 178 200 SP SD: 0.1172 c. M: 0.2126 c. 1190: 190 102 185 187 129 187 210 SP SD: 0.1164 c. M: 0.1984 c. 1445: 231 124 224 227 157 227 255 SP SD: 0.1151 c. M:-0.2072 c. 1490: 238 128 231 234 162 234 263 SP SD: 0.1018 c. M: 0.1399 c. 1502: 240 129 233 236 163 236 265 SP SD: 0.0869 c. M:-0.1547 c. 1547: 247 133 240 243 168 243 273 SP SD: 0.0574 c. M:-0.1119 c. 1934: 309 166 300 304 210 304 341 SP SD: 0.0756 c. M:-0.1003 c. 1979: 316 170 307 311 215 311 349 SP SD: 0.0482 c. M: 0.0939 c. 2216: 354 190 344 348 241 348 391 SP SD: 0.0655 c. M: 0.0824 c. 2228: 356 191 346 350 242 350 393 SP SD: 0.0617 c. M:-0.1148 c. 2273: 363 195 353 357 247 357 401 SP SD: 0.0394 c. M:-0.0700 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: 16.2792 cents 3 x x 4 x 5 x 6 S SD: 28.7720 cents 4 x 5 x 6 x 7:8 S SD: 24.8020 cents 5 x 6 x 7:8:9:10 S SD: 19.0160 cents 6 x 7:8:9:10:11:12 S SD: 19.0085 cents 7:8 x 9:10:11:12:14 S SD: 16.4202 cents 8:9 x 11:12:13:14:16 SD: 15.0982 cents 9:10:11:12:13:14:16:18 S SD: 10.6034 cents 10:11:12:13:15:16:18:20 SD: 9.0063 cents 13 x 15:17:19:21:23:26 SD: 9.9415 cents 15:17:18:20:22:24:27:30 SD: 7.0741 cents 16:18:19:21:24:25:28:32 SD: 7.0545 cents 17:19:20:22:25:27:30:34 SD: 5.3507 cents 22:25:26:29:32:35:39:44 SD: 5.2907 cents 25:28:30:33:37:40:44:50 SD: 4.1290 cents 26:29:31:34:38:41:46:52 SD: 3.6611 cents 27:30:32:36:40:43:48:54 SD: 3.4847 cents 32:36:38:42:47:51:57:64 SD: 3.0398 cents 34:38:40:45:50:54:60:68 SD: 2.1465 cents 43:48:51:57:63:68:76:86 SD: 1.8255 cents 44:49:52:58:65:70:78:88 SD: 1.6097 cents 53:59:63:70:78:84:94:106 SD: 1.2518 cents 75:84:89:99:110:119:133:150 SD: 1.2458 cents 85:95:101:112:125:135:150:170 SD: 1.0809 cents 87:97:103:115:128:138:154:174 SD: 0.6830 cents 119:133:141:157:175:189:211:238 SD: 0.6030 cents 162:181:192:214:238:257:287:324 SD: 0.5874 cents 172:192:204:227:253:273:304:344 SD: 0.4407 cents 206:230:244:272:303:327:365:412 SD: 0.4306 cents 216:241:256:285:318:343:382:432 SD: 0.3997 cents 221:247:262:292:325:351:391:442 SD: 0.3879 cents 222:248:263:293:327:352:393:444 SD: 0.3564 cents 231:258:274:305:340:367:409:462 SD: 0.2988 cents 265:296:314:350:390:421:469:530 SD: 0.2931 cents 290:324:344:383:427:460:513:580 SD: 0.2639 cents 291:325:345:384:428:462:515:582 SD: 0.2582 cents 318:355:377:420:468:505:563:636 SD: 0.2509 cents 334:373:396:441:492:530:591:668 SD: 0.1964 cents 400:447:474:528:589:635:708:800 SD: 0.1826 cents 409:457:485:540:602:649:724:818 SD: 0.1225 cents 453:506:537:598:667:719:802:906 SD: 0.1083 cents