Scala analysis: Sudan_Janger_141
141 (Janger), Sudan
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 230.000 cents 230.000000 2: 448.000 cents 448.000000 3: 695.000 cents 695.000000 4: 978.000 cents 978.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 222.0000 cents 222.0000 1: 230.0000 cents 230.0000 2: 218.0000 cents 218.0000 3: 247.0000 cents 247.0000 4: 283.0000 cents 283.0000 5: 222.0000 cents 222.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 218.00000 cents 1: 1 222.00000 cents 1: 1 230.00000 cents 1: 1 247.00000 cents 1: 1 283.00000 cents 2: 1 448.00000 cents 2: 1 452.00000 cents 2: 1 465.00000 cents 2: 1 505.00000 cents 2: 1 530.00000 cents 3: 1 670.00000 cents 3: 1 695.00000 cents 3: 1 735.00000 cents 3: 1 748.00000 cents 3: 1 752.00000 cents 4: 1 917.00000 cents 4: 1 953.00000 cents 4: 1 970.00000 cents 4: 1 978.00000 cents 4: 1 982.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 230.0 448.0 695.0 978.0 1200.0 230.0 : 218.0 465.0 748.0 970.0 1200.0 448.0 : 247.0 530.0 752.0 982.0 1200.0 695.0 : 283.0 505.0 735.0 953.0 1200.0 978.0 : 222.0 452.0 670.0 917.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 218.0000 .. 283.0000 cents 65.00000 cents 218.00000 cents 2: 448.0000 .. 530.0000 cents 82.00000 cents 165.00000 cents 3: 670.0000 .. 752.0000 cents 82.00000 cents 140.00000 cents 4: 917.0000 .. 982.0000 cents 65.00000 cents 165.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 218.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 283.00000 cents Average / Smallest step : 1.100917 Largest / Average step : 1.179167 Largest / Smallest step : 1.298165 Median interval of one step : 230.00000 cents, amount: 1 Least squares average step : 238.60000 cents, oct.: 1193.00000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 230 448 695 978 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 709 of 709.000 cents and inv. generated superset size: 286 = 281 more = 5720.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : CADEB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 140.00000 cents Scale diversity : 1.301603 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.755000 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 4.00000 cents Number of recognisable fifths : 1, average 695.0000 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 82.0000 cents: 2 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 20.3617 c. M:-32.0000 c. 11: 2 2 2 3 2 SP M ME S SD: 19.6276 c. M: 40.4545 c. 16: 3 3 3 4 3 SP M ME S SD: 9.3595 c. M: 20.0000 c. 21: 4 4 4 5 4 SP M ME S SD: 6.5581 c. M: 9.2857 c. 33: 6 6 7 8 6 SP SD: 7.8280 c. M: 11.8182 c. 37: 7 7 7 9 7 SP M DE S SD: 7.2732 c. M: 13.9189 c. 38: 7 7 8 9 7 SP SD: 4.8119 c. M: 8.9474 c. 43: 8 8 9 10 8 SP SD: 3.3594 c. M: 6.7442 c. 48: 9 9 10 11 9 SP SD: 3.5496 c. M: 5.0000 c. 59: 11 11 12 14 11 SP SD: 3.3071 c. M: 6.2712 c. 64: 12 12 13 15 12 SP SD: 2.8129 c. M: 5.0000 c. 69: 13 13 14 16 13 SP SD: 3.1579 c. M:-4.1739 c. 72: 14 13 15 17 13 SP SD: 3.7029 c. M:-5.3333 c. 78: 15 14 16 19 14 SP SD: 3.3170 c. M:-6.6154 c. 83: 16 15 17 20 15 SP SD: 2.4160 c. M:-5.1325 c. 85: 16 16 17 20 16 SP SD: 3.3665 c. M: 4.1176 c. 88: 17 16 18 21 16 SP SD: 2.1019 c. M:-3.8182 c. 93: 18 17 19 22 17 SP SD: 2.3789 c. M:-3.6129 c. 104: 20 19 21 25 19 SP SD: 1.9753 c. M:-2.7692 c. 109: 21 20 22 26 20 SP SD: 1.9049 c. M:-3.3761 c. 124: 24 22 26 29 23 SP SD: 1.8244 c. M: 2.8387 c. 126: 24 23 26 30 23 SP SD: 1.4805 c. M:-2.9524 c. 129: 25 23 27 30 24 SP SD: 1.8702 c. M:-2.6744 c. 131: 25 24 27 31 24 SP SD: 1.2450 c. M:-2.1527 c. 136: 26 25 28 32 25 SP SD: 1.4545 c. M:-2.0588 c. 140: 27 25 29 33 26 SP SD: 1.3046 c. M: 2.2857 c. 145: 28 26 30 34 27 SP SD: 1.1241 c. M:-1.7241 c. 147: 28 27 30 35 27 SP SD: 1.1657 c. M:-1.5918 c. 152: 29 28 31 36 28 SP SD: 1.1023 c. M:-2.0000 c. 183: 35 33 38 43 34 SP SD: 1.0541 c. M: 2.0984 c. 188: 36 34 39 44 35 SP SD: 0.8935 c. M: 1.4043 c. 204: 39 37 42 48 38 SP SD: 0.9327 c. M: 1.5294 c. 209: 40 38 43 49 39 SP SD: 0.8837 c. M: 1.9234 c. 223: 43 40 46 53 41 SP SD: 1.1280 c. M:-1.3901 c. 228: 44 41 47 54 42 SP SD: 0.8785 c. M:-1.5789 c. 233: 45 42 48 55 43 SP SD: 0.8332 c. M:-1.7597 c. 249: 48 45 51 59 46 SP SD: 0.7669 c. M:-1.3253 c. 266: 51 48 55 63 49 SP SD: 0.7598 c. M: 1.3835 c. 271: 52 49 56 64 50 SP SD: 0.4592 c. M: 0.7675 c. 276: 53 50 57 65 51 SP SD: 0.3775 c. M:-0.6522 c. 292: 56 53 60 69 54 SP SD: 0.2273 c. M: 0.4795 c. 547: 105 99 113 129 101 SP SD: 0.3761 c. M: 0.4680 c. 563: 108 102 116 133 104 SP SD: 0.2563 c. M: 0.3979 c. 568: 109 103 117 134 105 SP SD: 0.1585 c. M:-0.2817 c. 589: 113 107 121 139 109 SP SD: 0.1845 c. M: 0.2632 c. 611: 117 111 126 144 113 SP SD: 0.1779 c. M:-0.2537 c. 627: 120 114 129 148 116 SP SD: 0.2025 c. M: 0.3349 c. 632: 121 115 130 149 117 SP SD: 0.1424 c. M: 0.2532 c. 860: 165 156 177 203 159 SP SD: 0.1384 c. M:-0.2326 c. 865: 166 157 178 204 160 SP SD: 0.1372 c. M:-0.2890 c. 903: 173 164 186 213 167 SP SD: 0.0905 c. M: 0.1595 c. 908: 174 165 187 214 168 SP SD: 0.0731 c. M:-0.1542 c. 1195: 229 217 246 282 221 SP SD: 0.0852 c. M: 0.1339 c. 1200: 230 218 247 283 222 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 3.4775 cents 3 x 4 x 5:6 S SD: 35.3918 cents 4 x 5:6:7:8 S SD: 15.6878 cents 5:6 x 7:9:10 SD: 36.7047 cents 6:7:8:9:11:12 SD: 18.9789 cents 7:8:9:10:12:14 S SD: 18.0994 cents 8:9:10:12:14:16 S SD: 13.5918 cents 12:14:16:18:21:24 S SD: 12.6436 cents 13:15:17:19:23:26 SD: 9.2190 cents 14:16:18:21:25:28 SD: 5.9407 cents 20:23:26:30:35:40 SD: 3.5452 cents 28:32:36:42:49:56 S SD: 3.4683 cents 34:39:44:51:60:68 SD: 2.3319 cents 41:47:53:61:72:82 SD: 2.1507 cents 50:57:65:75:88:100 SD: 1.9743 cents 55:63:71:82:97:110 SD: 1.9204 cents 57:65:74:85:100:114 SD: 1.4911 cents 71:81:92:106:125:142 SD: 0.5225 cents 91:104:118:136:160:182 SD: 0.4951 cents 162:185:210:242:285:324 SD: 0.2597 cents 261:298:338:390:459:522 SD: 0.1962 cents 332:379:430:496:584:664 SD: 0.1704 cents 366:418:474:547:644:732 SD: 0.1542 cents 423:483:548:632:744:846 SD: 0.1226 cents 528:603:684:789:929:1056 SD: 0.0899 cents