Scala analysis: Sudan_Janger_140
140 (Janger), Sudan
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 247.000 cents 247.000000 2: 422.000 cents 422.000000 3: 697.000 cents 697.000000 4: 980.000 cents 980.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 220.0000 cents 220.0000 1: 247.0000 cents 247.0000 2: 175.0000 cents 175.0000 3: 275.0000 cents 275.0000 4: 283.0000 cents 283.0000 5: 220.0000 cents 220.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 175.00000 cents 1: 1 220.00000 cents 1: 1 247.00000 cents 1: 1 275.00000 cents 1: 1 283.00000 cents 2: 1 422.00000 cents 2: 1 450.00000 cents 2: 1 467.00000 cents 2: 1 503.00000 cents 2: 1 558.00000 cents 3: 1 642.00000 cents 3: 1 697.00000 cents 3: 1 733.00000 cents 3: 1 750.00000 cents 3: 1 778.00000 cents 4: 1 917.00000 cents 4: 1 925.00000 cents 4: 1 953.00000 cents 4: 1 980.00000 cents 4: 1 1025.00000 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 : 247.0 422.0 697.0 980.0 1200.0 247.0 : 175.0 450.0 733.0 953.0 1200.0 422.0 : 275.0 558.0 778.0 1025.0 1200.0 697.0 : 283.0 503.0 750.0 925.0 1200.0 980.0 : 220.0 467.0 642.0 917.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 175.0000 .. 283.0000 cents 108.00000 cents 175.00000 cents 2: 422.0000 .. 558.0000 cents 136.00000 cents 139.00000 cents 3: 642.0000 .. 778.0000 cents 136.00000 cents 84.00000 cents 4: 917.0000 .. 1025.0000 cents 108.00000 cents 139.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 175.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 283.00000 cents Average / Smallest step : 1.371429 Largest / Average step : 1.179167 Largest / Smallest step : 1.617143 Median interval of one step : 247.00000 cents, amount: 1 Least squares average step : 238.21818 cents, oct.: 1191.09091 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 247 422 697 980 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 971 of 971.000 cents and inv. generated superset size: 151 = 146 more = 3020.000% 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 84.00000 cents Scale diversity : 1.518893 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.593333 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 : 8.00000 cents Number of recognisable fifths : 1, average 697.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 29.4686 c. M:-58.0000 c. 9: 2 1 2 2 2 SP M ME S SD: 28.1733 c. M: 46.6667 c. Noll Pseudo-diatonic 11: 2 2 2 3 2 SP M ME S SD: 23.8432 c. M: 42.4545 c. 14: 3 2 3 3 3 SP M ME S SD: 18.1825 c. M: 37.1429 c. 15: 3 2 4 3 3 SP T3 SD: 17.0997 c. M:-23.0000 c. 17: 4 2 4 4 3 SP T3 SD: 16.7265 c. M:-35.3529 c. 19: 4 3 4 5 3 SP T3 SD: 16.5705 c. M:-30.5263 c. 20: 4 3 5 4 4 SP T3 SD: 14.0143 c. M:-23.0000 c. 21: 4 3 5 5 4 SP SD: 14.3140 c. M: 22.0000 c. 22: 5 3 5 5 4 SP T3 SD: 14.2668 c. M:-25.7273 c. 23: 5 3 5 6 4 SP SD: 11.7690 c. M: 18.7391 c. 26: 5 4 6 6 5 SP SD: 9.4361 c. M: 16.2308 c. 28: 6 4 6 7 5 SP SD: 7.8241 c. M: 11.2857 c. 29: 6 4 7 7 5 SP SD: 7.5135 c. M:-13.1034 c. 34: 7 5 8 8 6 SP SD: 5.4600 c. M:-8.8824 c. 43: 9 6 10 10 8 SP SD: 2.8253 c. M:-4.1628 c. 77: 16 11 18 18 14 SP SD: 2.4000 c. M:-4.2987 c. 83: 17 12 19 20 15 SP SD: 2.3602 c. M:-3.1325 c. 88: 18 13 20 21 16 SP SD: 1.3124 c. M:-1.8182 c. 131: 27 19 30 31 24 SP SD: 0.4879 c. M: 0.8168 c. 267: 55 39 61 63 49 SP SD: 0.2991 c. M:-0.4719 c. 398: 82 58 91 94 73 SP SD: 0.2631 c. M: 0.5176 c. 432: 89 63 99 102 79 SP SD: 0.3023 c. M:-0.5556 c. 501: 103 73 115 118 92 SP SD: 0.2869 c. M: 0.4431 c. 563: 116 82 129 133 103 SP SD: 0.2346 c. M:-0.4618 c. 589: 121 86 135 139 108 SP SD: 0.2664 c. M: 0.4805 c. 611: 126 89 140 144 112 SP SD: 0.2568 c. M:-0.4632 c. 632: 130 92 145 149 116 SP SD: 0.2644 c. M: 0.4810 c. 637: 131 93 146 150 117 SP SD: 0.2074 c. M: 0.4082 c. 666: 137 97 153 157 122 SP SD: 0.2398 c. M: 0.3784 c. 671: 138 98 154 158 123 SP SD: 0.2295 c. M:-0.4665 c. 699: 144 102 160 165 128 SP SD: 0.2056 c. M:-0.3176 c. 725: 149 106 166 171 133 SP SD: 0.1987 c. M: 0.3793 c. 768: 158 112 176 181 141 SP SD: 0.1700 c. M: 0.3125 c. 802: 165 117 184 189 147 SP SD: 0.1305 c. M:-0.2569 c. 830: 171 121 190 196 152 SP SD: 0.1769 c. M:-0.2410 c. 845: 174 123 194 199 155 SP SD: 0.1744 c. M:-0.2781 c. 890: 183 130 204 210 163 SP SD: 0.1575 c. M: 0.2584 c. 899: 185 131 206 212 165 SP SD: 0.1752 c. M: 0.2447 c. 933: 192 136 214 220 171 SP SD: 0.0856 c. M: 0.1350 c. 1069: 220 156 245 252 196 SP SD: 0.0598 c. M:-0.1001 c. 1200: 247 175 275 283 220 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: 2.4775 cents 3 x 4 x 5:6 S SD: 40.7296 cents 4 x 5:6:7:8 S SD: 9.4304 cents 5:6 x 7:9:10 SD: 34.6704 cents 6:7:8:9:11:12 SD: 20.9890 cents 7:8:9:10:12:14 S SD: 18.9111 cents 8:9:10:12:14:16 S SD: 11.4537 cents 12:14:15:18:21:24 S SD: 8.5271 cents 14:16:18:21:25:28 SD: 6.3646 cents 18:21:23:27:32:36 SD: 5.2302 cents 25:29:32:37:44:50 SD: 4.3075 cents 26:30:33:39:46:52 SD: 2.6135 cents 46:53:59:69:81:92 SD: 2.0693 cents 51:59:65:76:90:102 SD: 1.8316 cents 58:67:74:87:102:116 SD: 1.2517 cents 72:83:92:108:127:144 SD: 1.2197 cents 79:91:101:118:139:158 SD: 0.9926 cents 91:105:116:136:160:182 SD: 0.7720 cents 105:121:134:157:185:210 SD: 0.3342 cents 163:188:208:244:287:326 SD: 0.3058 cents 214:247:273:320:377:428 SD: 0.2940 cents 268:309:342:401:472:536 SD: 0.1731 cents 319:368:407:477:562:638 SD: 0.1552 cents 424:489:541:634:747:848 SD: 0.1376 cents 456:526:582:682:803:912 SD: 0.1174 cents 482:556:615:721:849:964 SD: 0.0689 cents 587:677:749:878:1034:1174 SD: 0.0378 cents