Scala analysis: CD15_04_Algeria
Console-toi de tes soucis - L'ensemble d'Al-'Arabî Ben Sârî (jaharkah, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 187.691 cents 187.690972 2: 288.520 cents 288.520259 3: 496.545 cents 496.545091 4: 685.379 cents 685.379278 5: 793.343 cents 793.342665 6: 988.939 cents 988.939008 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 211.0610 cents 211.0610 1: 187.6910 cents 187.6910 2: 100.8293 cents 100.8293 3: 208.0248 cents 208.0248 4: 188.8342 cents 188.8342 5: 107.9634 cents 107.9634 6: 195.5963 cents 195.5963 7: 211.0610 cents 211.0610
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 100.82929 cents 1: 1 107.96339 cents 1: 1 187.69097 cents 1: 1 188.83419 cents 1: 1 195.59634 cents 1: 1 208.02483 cents 1: 1 211.06099 cents 2: 1 288.52026 cents 2: 1 296.79757 cents 2: 1 303.55973 cents 2: 1 308.85412 cents 2: 1 396.85902 cents 2: 1 398.75196 cents 2: 1 406.65733 cents 3: 1 492.39392 cents 3: 1 496.54509 cents 3: 1 497.68831 cents 3: 1 499.58125 cents 3: 1 504.82241 cents 3: 1 514.62072 cents 3: 1 594.34831 cents 4: 1 605.65169 cents 4: 1 685.37928 cents 4: 1 695.17759 cents 4: 1 700.41875 cents 4: 1 702.31169 cents 4: 1 703.45491 cents 4: 1 707.60608 cents 5: 1 793.34266 cents 5: 1 801.24804 cents 5: 1 803.14098 cents 5: 1 891.14588 cents 5: 1 896.44027 cents 5: 1 903.20243 cents 5: 1 911.47974 cents 6: 1 988.93901 cents 6: 1 991.97517 cents 6: 1 1004.40366 cents 6: 1 1011.16581 cents 6: 1 1012.30903 cents 6: 1 1092.03661 cents 6: 1 1099.17071 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 : 187.7 288.5 496.5 685.4 793.3 988.9 1200.0 187.7 : 100.8 308.9 497.7 605.7 801.2 1012.3 1200.0 288.5 : 208.0 396.9 504.8 700.4 911.5 1099.2 1200.0 496.5 : 188.8 296.8 492.4 703.5 891.1 992.0 1200.0 685.4 : 108.0 303.6 514.6 702.3 803.1 1011.2 1200.0 793.3 : 195.6 406.7 594.3 695.2 903.2 1092.0 1200.0 988.9 : 211.1 398.8 499.6 707.6 896.4 1004.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 100.8293 .. 211.0610 cents 110.23171 cents 100.82929 cents 2: 288.5203 .. 406.6573 cents 118.13708 cents 77.45927 cents 3: 492.3939 .. 594.3483 cents 101.95439 cents 85.73658 cents 4: 605.6517 .. 707.6061 cents 101.95439 cents 11.30339 cents 5: 793.3427 .. 911.4797 cents 118.13708 cents 85.73658 cents 6: 988.9390 .. 1099.1707 cents 110.23171 cents 77.45927 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 100.82929 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 211.06099 cents Average / Smallest step : 1.700186 Largest / Average step : 1.231189 Largest / Smallest step : 2.093251 Median interval of one step : 188.83419 cents, amount: 1 Least squares average step : 166.40165 cents, oct.: 1164.81156 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 11.30339 cents Scale diversity : 1.428789 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.449461 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 : 1.14322 cents Number of recognisable fifths : 5, average 701.7938 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 110.2317 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 36.1998 c. M:-63.8002 c. Lebeng 9: 1 1 2 1 1 1 2 P M ME S SD: 34.3764 c. M: 55.6057 c. Pseudo Pelog, Pelogic-7, Antiionian 12: 2 1 2 2 1 2 2 P M ME S SD: 9.8246 c. M:-14.6207 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 32: 5 3 5 5 3 5 6 P T3 S SD: 8.8624 c. M: 13.9390 c. 33: 5 3 6 5 3 5 6 SP T3 SD: 6.7949 c. M:-12.5458 c. 38: 6 3 7 6 3 6 7 P T3 SD: 6.5479 c. M: 9.9916 c. 39: 6 3 7 6 4 6 7 SP SD: 6.5075 c. M: 11.5972 c. 44: 7 4 7 7 4 7 8 P T3 S SD: 5.8945 c. M:-11.4797 c. 45: 7 4 8 7 4 7 8 SP T3 SD: 5.8482 c. M:-10.1216 c. 46: 7 4 8 7 4 8 8 P SD: 5.3527 c. M: 10.7340 c. 49: 8 4 8 8 4 8 9 N T3 S SD: 6.7920 c. M: 9.6692 c. 50: 8 4 9 8 4 8 9 P T3 SD: 5.5215 c. M:-10.6207 c. 51: 8 4 9 8 5 8 9 SP SD: 3.7454 c. M:-6.6573 c. 58: 9 5 10 9 5 10 10 P SD: 3.3513 c. M: 7.1358 c. 63: 10 5 11 10 6 10 11 SP SD: 3.0269 c. M:-6.6573 c. 68: 11 5 12 11 6 11 12 P SD: 3.6739 c. M:-6.4267 c. 70: 11 6 12 11 6 12 12 P SD: 2.9533 c. M:-5.3467 c. 75: 12 6 13 12 7 12 13 SP SD: 3.3741 c. M:-6.6573 c. 79: 12 7 14 12 7 13 14 SP SD: 3.1519 c. M: 5.4125 c. 89: 14 7 16 14 8 14 16 SP SD: 3.0952 c. M: 5.3742 c. 91: 14 8 16 14 8 15 16 SP SD: 2.3113 c. M:-4.5538 c. 95: 15 8 16 15 9 15 17 SP SD: 2.7448 c. M: 3.9135 c. 97: 15 8 17 15 9 16 17 SP SD: 2.7002 c. M: 4.9669 c. 101: 16 8 18 16 9 16 18 SP SD: 2.7326 c. M:-3.7296 c. 103: 16 9 18 16 9 17 18 SP SD: 2.2618 c. M:-4.4258 c. 107: 17 9 18 17 10 17 19 SP SD: 2.4479 c. M: 3.0871 c. 109: 17 9 19 17 10 18 19 SP SD: 1.6344 c. M: 2.8105 c. 121: 19 10 21 19 11 20 21 SP SD: 1.2443 c. M:-2.7965 c. 142: 22 12 25 22 13 23 25 SP SD: 1.2319 c. M:-2.0465 c. 154: 24 13 27 24 14 25 27 SP SD: 1.0593 c. M:-2.1562 c. 159: 25 13 28 25 14 26 28 SP SD: 1.1512 c. M: 1.7278 c. 166: 26 14 29 26 15 27 29 SP SD: 1.3527 c. M:-2.2501 c. 171: 27 14 30 27 15 28 30 SP SD: 1.3418 c. M:-2.3400 c. 186: 29 16 32 29 17 30 33 SP SD: 1.1567 c. M: 1.8422 c. 198: 31 17 34 31 18 32 35 SP SD: 1.0477 c. M:-2.3888 c. 200: 31 17 35 31 18 33 35 SP SD: 1.1999 c. M: 1.6910 c. 203: 32 17 35 32 18 33 36 SP SD: 1.0768 c. M: 1.7469 c. 212: 33 18 37 33 19 35 37 SP SD: 0.9968 c. M:-1.6270 c. 245: 38 21 42 39 22 40 43 SP SD: 0.9583 c. M: 1.8512 c. 249: 39 21 43 39 23 40 44 SP SD: 0.9210 c. M:-1.8381 c. 254: 40 21 44 40 23 41 45 SP SD: 0.8108 c. M: 1.5374 c. 263: 41 22 46 41 24 43 46 SP SD: 0.8281 c. M:-1.1751 c. 266: 42 22 46 42 24 43 47 SP SD: 0.8259 c. M:-1.7827 c. 275: 43 23 48 43 25 45 48 SP SD: 0.7990 c. M:-1.6064 c. 300: 47 25 52 47 27 49 53 SP SD: 0.8660 c. M: 1.3793 c. 307: 48 26 53 48 28 50 54 SP SD: 0.5821 c. M: 1.3402 c. 312: 49 26 54 49 28 51 55 SP SD: 0.6133 c. M: 1.0350 c. 319: 50 27 55 50 29 52 56 SP SD: 0.5739 c. M:-1.1349 c. 324: 51 27 56 51 29 53 57 SP SD: 0.5651 c. M:-1.1979 c. 345: 54 29 60 54 31 56 61 SP SD: 0.5502 c. M: 1.1129 c. 357: 56 30 62 56 32 58 63 SP SD: 0.5462 c. M:-0.9339 c. 392: 61 33 68 62 35 64 69 SP SD: 0.5691 c. M: 0.9563 c. 404: 63 34 70 64 36 66 71 SP SD: 0.4493 c. M:-0.7593 c. 454: 71 38 79 71 41 74 80 SP SD: 0.4232 c. M: 0.7978 c. 466: 73 39 81 73 42 76 82 SP SD: 0.2710 c. M:-0.4506 c. 478: 75 40 83 75 43 78 84 SP SD: 0.3157 c. M:-0.5935 c. 602: 94 51 104 95 54 98 106 SP SD: 0.2862 c. M:-0.5163 c. 653: 102 55 113 103 59 106 115 SP SD: 0.2836 c. M:-0.5318 c. 699: 109 59 121 110 63 114 123 SP SD: 0.3192 c. M: 0.5665 c. 711: 111 60 123 112 64 116 125 SP SD: 0.2020 c. M: 0.3492 c. 723: 113 61 125 114 65 118 127 SP SD: 0.1920 c. M: 0.2795 c. 865: 135 73 150 136 78 141 152 SP SD: 0.1901 c. M: 0.4077 c. 870: 136 73 151 137 78 142 153 SP SD: 0.1453 c. M: 0.2444 c. 1068: 167 90 185 168 96 174 188 SP SD: 0.1236 c. M:-0.2438 c. 1119: 175 94 194 176 101 182 197 SP SD: 0.1246 c. M:-0.2230 c. 1131: 177 95 196 178 102 184 199 SP SD: 0.1249 c. M:-0.2913 c. 1177: 184 99 204 185 106 192 207 SP SD: 0.1141 c. M: 0.2476 c. 1189: 186 100 206 187 107 194 209 SP SD: 0.0824 c. M:-0.1274 c. 1900: 297 160 329 299 171 310 334 SP SD: 0.1022 c. M: 0.1240 c. 1938: 303 163 336 305 174 316 341 SP SD: 0.0795 c. M: 0.1538 c. 1989: 311 167 345 313 179 324 350 SP SD: 0.0679 c. M: 0.1341 c. 2001: 313 168 347 315 180 326 352 SP SD: 0.0468 c. M:-0.0780 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: 8.2879 cents 3 x x 4 x 5 x 6 S SD: 30.3428 cents 4 x 5 x 6 x 7:8 S SD: 25.3017 cents 5 x 6:7 x 8:9:10 S SD: 19.3504 cents 6 x 7:8:9:10:11:12 S SD: 18.7681 cents 7:8 x 9:10:11:12:14 S SD: 19.3721 cents 8:9 x 11:12:13:14:16 SD: 13.0903 cents 9:10:11:12:13:14:16:18 S SD: 11.7238 cents 10:11:12:13:15:16:18:20 SD: 9.6384 cents 12:13:14:16:18:19:21:24 SD: 8.5330 cents 15:17:18:20:22:24:27:30 SD: 8.2218 cents 16:18:19:21:24:25:28:32 SD: 6.5716 cents 17:19:20:23:25:27:30:34 SD: 4.9369 cents 26:29:31:35:39:41:46:52 SD: 4.2454 cents 27:30:32:36:40:43:48:54 SD: 2.4274 cents 43:48:51:57:64:68:76:86 SD: 1.7317 cents 45:50:53:60:67:71:80:90 SD: 1.6751 cents 60:67:71:80:89:95:106:120 SD: 0.9917 cents 78:87:92:104:116:123:138:156 SD: 0.8924 cents 88:98:104:117:131:139:156:176 SD: 0.8374 cents 105:117:124:140:156:166:186:210 SD: 0.2775 cents 253:282:299:337:376:400:448:506 SD: 0.1443 cents 358:399:423:477:532:566:634:716 SD: 0.1178 cents