Scala analysis: Sudan_Janger_142
142 (Janger), Sudan
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 240.000 cents 240.000000 2: 542.000 cents 542.000000 3: 738.000 cents 738.000000 4: 980.000 cents 980.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 220.0000 cents 220.0000 1: 240.0000 cents 240.0000 2: 302.0000 cents 302.0000 3: 196.0000 cents 196.0000 4: 242.0000 cents 242.0000 5: 220.0000 cents 220.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 196.00000 cents 1: 1 220.00000 cents 1: 1 240.00000 cents 1: 1 242.00000 cents 1: 1 302.00000 cents 2: 1 438.00000 cents 2: 1 460.00000 cents 2: 1 462.00000 cents 2: 1 498.00000 cents 2: 1 542.00000 cents 3: 1 658.00000 cents 3: 1 702.00000 cents 3: 1 738.00000 cents 3: 1 740.00000 cents 3: 1 762.00000 cents 4: 1 898.00000 cents 4: 1 958.00000 cents 4: 1 960.00000 cents 4: 1 980.00000 cents 4: 1 1004.00000 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 : 240.0 542.0 738.0 980.0 1200.0 240.0 : 302.0 498.0 740.0 960.0 1200.0 542.0 : 196.0 438.0 658.0 898.0 1200.0 738.0 : 242.0 462.0 702.0 1004.0 1200.0 980.0 : 220.0 460.0 762.0 958.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 196.0000 .. 302.0000 cents 106.00000 cents 196.00000 cents 2: 438.0000 .. 542.0000 cents 104.00000 cents 136.00000 cents 3: 658.0000 .. 762.0000 cents 104.00000 cents 116.00000 cents 4: 898.0000 .. 1004.0000 cents 106.00000 cents 136.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 196.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 302.00000 cents Average / Smallest step : 1.224490 Largest / Average step : 1.258333 Largest / Smallest step : 1.540816 Median interval of one step : 240.00000 cents, amount: 1 Least squares average step : 244.69091 cents, oct.: 1223.45455 cents Scale is strictly proper Scale is a mode of a 600-tone equal temperament with octave 1200.000 cents degrees: 120 271 369 490 600 Least number of segments generator : 301 of 602.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 329 of 658.000 cents and inv. generated superset size: 191 = 186 more = 3820.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : CEADB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 116.00000 cents Scale diversity : 1.431195 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.650000 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 : 2.00000 cents Number of recognisable fifths : 1, average 702.0000 cents Best fifths form a closed circle Best minor thirds 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: 30.2258 c. M: 62.0000 c. 11: 2 3 2 2 2 SP M ME S SD: 15.1558 c. M:-25.6364 c. Machine-5 15: 3 4 2 3 3 SP T3 SD: 14.4776 c. M: 20.0000 c. 16: 3 4 3 3 3 SP M ME S SD: 11.6876 c. M: 17.0000 c. 20: 4 5 3 4 4 SP T3 SD: 12.0665 c. M: 20.0000 c. 24: 5 6 4 5 4 SP T3 SD: 11.8996 c. M:-20.0000 c. 26: 5 7 4 5 5 SP SD: 8.2671 c. M:-11.8462 c. 29: 6 7 5 6 5 SP T3 SD: 7.7893 c. M:-13.1034 c. 31: 6 8 5 6 6 SP SD: 6.5808 c. M: 12.2581 c. 39: 8 10 6 8 7 SP SD: 6.3201 c. M:-11.8462 c. 42: 8 11 7 8 8 SP SD: 6.7588 c. M: 11.4286 c. 44: 9 11 7 9 8 SP SD: 3.0877 c. M:-5.4545 c. 49: 10 12 8 10 9 SP SD: 3.0161 c. M:-4.8980 c. 55: 11 14 9 11 10 SP SD: 2.4421 c. M:-3.8182 c. 60: 12 15 10 12 11 SP SD: 1.2649 c. M:-2.0000 c. 104: 21 26 17 21 19 SP SD: 1.1158 c. M:-2.3077 c. 135: 27 34 22 27 25 SP SD: 1.0037 c. M: 2.2222 c. 146: 29 37 24 29 27 SP SD: 1.3839 c. M: 1.9178 c. 159: 32 40 26 32 29 SP SD: 1.2761 c. M:-1.6226 c. 164: 33 41 27 33 30 SP SD: 0.8622 c. M:-1.4634 c. 179: 36 45 29 36 33 SP SD: 0.9661 c. M:-1.3408 c. 190: 38 48 31 38 35 SP SD: 0.8181 c. M:-1.1579 c. 195: 39 49 32 39 36 SP SD: 0.7474 c. M: 1.5385 c. 239: 48 60 39 48 44 SP SD: 0.6211 c. M:-1.0042 c. 294: 59 74 48 59 54 SP SD: 0.6586 c. M:-0.8571 c. 299: 60 75 49 60 55 SP SD: 0.5360 c. M:-0.8027 c. 301: 60 76 49 61 55 SP SD: 0.5324 c. M: 0.7973 c. 306: 61 77 50 62 56 SP SD: 0.6328 c. M: 0.8235 c. 345: 69 87 56 70 63 SP SD: 0.5472 c. M:-0.8696 c. 350: 70 88 57 71 64 SP SD: 0.4781 c. M: 0.8571 c. 359: 72 90 59 72 66 SP SD: 0.5630 c. M:-0.7187 c. 361: 72 91 59 73 66 SP SD: 0.4112 c. M: 0.6648 c. 405: 81 102 66 82 74 SP SD: 0.3599 c. M:-0.7407 c. 410: 82 103 67 83 75 SP SD: 0.3791 c. M: 0.5366 c. 436: 87 110 71 88 80 SP SD: 0.3243 c. M: 0.5505 c. 465: 93 117 76 94 85 SP SD: 0.2914 c. M:-0.6452 c. 480: 96 121 78 97 88 SP SD: 0.3162 c. M:-0.5000 c. 496: 99 125 81 100 91 SP SD: 0.2340 c. M: 0.4839 c. 540: 108 136 88 109 99 SP SD: 0.1405 c. M:-0.2222 c. 600: 120 151 98 121 110 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: 18.0225 cents 3 x 4 x 5:6 S SD: 35.0861 cents 4:5 x 6:7:8 S SD: 37.7755 cents 5:6:7:8:9:10 H SD: 24.0871 cents 6:7:8:9:11:12 SD: 18.7238 cents 8:9:11:12:14:16 SD: 10.6083 cents 13:15:18:20:23:26 SD: 5.0508 cents 21:24:29:32:37:42 SD: 4.1830 cents 28:32:38:43:49:56 SD: 4.0100 cents 32:37:44:49:56:64 SD: 3.6905 cents 33:38:45:51:58:66 SD: 3.4737 cents 38:44:52:58:67:76 SD: 3.0335 cents 41:47:56:63:72:82 SD: 1.7479 cents 54:62:74:83:95:108 SD: 1.4855 cents 60:69:82:92:106:120 SD: 1.2122 cents 68:78:93:104:120:136 SD: 0.9589 cents 87:100:119:133:153:174 SD: 0.8619 cents 100:115:137:153:176:200 SD: 0.8421 cents 101:116:138:155:178:202 SD: 0.7997 cents 109:125:149:167:192:218 SD: 0.6123 cents 122:140:167:187:215:244 SD: 0.5764 cents 147:169:201:225:259:294 SD: 0.3835 cents 188:216:257:288:331:376 SD: 0.2306 cents 256:294:350:392:451:512 SD: 0.1696 cents 397:456:543:608:699:794 SD: 0.1316 cents 444:510:607:680:782:888 SD: 0.1289 cents 457:525:625:700:805:914 SD: 0.0575 cents