Scala analysis: Indonesia_Gamelan_25
Gamelan 25, Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 202.000 cents 202.000000 2: 335.000 cents 335.000000 3: 482.000 cents 482.000000 4: 665.000 cents 665.000000 5: 861.000 cents 861.000000 6: 1026.000 cents 1026.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 174.0000 cents 174.0000 1: 202.0000 cents 202.0000 2: 133.0000 cents 133.0000 3: 147.0000 cents 147.0000 4: 183.0000 cents 183.0000 5: 196.0000 cents 196.0000 6: 165.0000 cents 165.0000 7: 174.0000 cents 174.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 133.00000 cents 1: 1 147.00000 cents 1: 1 165.00000 cents 1: 1 174.00000 cents 1: 1 183.00000 cents 1: 1 196.00000 cents 1: 1 202.00000 cents 2: 1 280.00000 cents 2: 1 330.00000 cents 2: 1 335.00000 cents 2: 1 339.00000 cents 2: 1 361.00000 cents 2: 1 376.00000 cents 2: 1 379.00000 cents 3: 1 463.00000 cents 3: 1 482.00000 cents 3: 1 509.00000 cents 3: 1 526.00000 cents 3: 1 535.00000 cents 3: 1 541.00000 cents 3: 1 544.00000 cents 4: 1 656.00000 cents 4: 1 659.00000 cents 4: 1 665.00000 cents 4: 1 674.00000 cents 4: 1 691.00000 cents 4: 1 718.00000 cents 4: 1 737.00000 cents 5: 1 821.00000 cents 5: 1 824.00000 cents 5: 1 839.00000 cents 5: 1 861.00000 cents 5: 1 865.00000 cents 5: 1 870.00000 cents 5: 1 920.00000 cents 6: 1 998.00000 cents 6: 1 1004.00000 cents 6: 1 1017.00000 cents 6: 1 1026.00000 cents 6: 1 1035.00000 cents 6: 1 1053.00000 cents 6: 1 1067.00000 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 : 202.0 335.0 482.0 665.0 861.0 1026.0 1200.0 202.0 : 133.0 280.0 463.0 659.0 824.0 998.0 1200.0 335.0 : 147.0 330.0 526.0 691.0 865.0 1067.0 1200.0 482.0 : 183.0 379.0 544.0 718.0 920.0 1053.0 1200.0 665.0 : 196.0 361.0 535.0 737.0 870.0 1017.0 1200.0 861.0 : 165.0 339.0 541.0 674.0 821.0 1004.0 1200.0 1026.0: 174.0 376.0 509.0 656.0 839.0 1035.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 133.0000 .. 202.0000 cents 69.00000 cents 133.00000 cents 2: 280.0000 .. 379.0000 cents 99.00000 cents 78.00000 cents 3: 463.0000 .. 544.0000 cents 81.00000 cents 84.00000 cents 4: 656.0000 .. 737.0000 cents 81.00000 cents 112.00000 cents 5: 821.0000 .. 920.0000 cents 99.00000 cents 84.00000 cents 6: 998.0000 .. 1067.0000 cents 69.00000 cents 78.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 133.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 202.00000 cents Average / Smallest step : 1.288937 Largest / Average step : 1.178333 Largest / Smallest step : 1.518797 Median interval of one step : 174.00000 cents, amount: 1 Least squares average step : 170.27857 cents, oct.: 1191.95000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 202 335 482 665 861 1026 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 629 of 629.000 cents and inv. generated superset size: 345 = 338 more = 4928.571% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : GABEFCD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 78.00000 cents Scale diversity : 1.451164 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.585000 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 : 3.00000 cents Number of recognisable fifths : 2, average 704.5000 cents Number of appreciable fifths : 1, average 691.0000 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 72.0000 cents: 4 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 18.8577 c. M:-32.2857 c. Lebeng 18: 3 2 2 3 3 2 3 SP D3 S SD: 11.6667 c. M: 26.0000 c. 22: 4 2 3 3 4 3 3 SP T3 SD: 10.3866 c. M:-16.1818 c. 25: 4 3 3 4 4 3 4 SP D3 S SD: 8.3409 c. M: 18.0000 c. 29: 5 3 4 4 5 4 4 SP T3 SD: 7.5162 c. M:-14.5517 c. 32: 5 4 4 5 5 4 5 SP D3 S SD: 8.7117 c. M: 14.5000 c. 35: 6 4 4 5 6 5 5 SP SD: 6.3831 c. M: 13.5714 c. 39: 7 4 5 6 6 5 6 SP SD: 8.8843 c. M:-13.3846 c. 40: 7 4 5 6 7 5 6 SP SD: 5.7941 c. M:-9.0000 c. 42: 7 5 5 6 7 6 6 SP SD: 4.8219 c. M: 7.8571 c. 43: 7 5 5 7 7 6 6 SP SD: 5.1327 c. M: 7.5814 c. 47: 8 5 6 7 8 6 7 SP SD: 3.7442 c. M:-7.0851 c. 54: 9 6 7 8 9 7 8 SP SD: 3.8433 c. M:-6.8889 c. 60: 10 7 7 9 10 8 9 SP SD: 3.6839 c. M: 6.0000 c. 67: 11 8 8 10 11 9 10 SP SD: 3.5561 c. M:-5.2985 c. 78: 13 9 9 12 13 11 11 SP SD: 3.3118 c. M: 5.0769 c. 82: 14 9 10 12 14 11 12 SP SD: 2.9726 c. M: 6.4634 c. 85: 14 10 10 13 14 12 12 SP SD: 2.9475 c. M:-4.5882 c. 89: 15 10 11 13 15 12 13 SP SD: 2.3887 c. M: 4.3258 c. 105: 18 11 13 16 17 15 15 SP SD: 2.8444 c. M: 3.8571 c. 107: 18 12 13 16 18 14 16 SP SD: 2.6532 c. M: 5.4393 c. 110: 19 12 13 17 18 15 16 SP SD: 2.4813 c. M:-5.2727 c. 112: 19 12 14 17 18 16 16 SP SD: 2.1598 c. M: 3.8571 c. 117: 20 13 14 18 19 16 17 SP SD: 1.8886 c. M:-3.4615 c. 124: 21 14 15 19 20 17 18 SP SD: 1.9422 c. M:-3.7097 c. 125: 21 14 15 19 21 17 18 SP SD: 1.7873 c. M:-3.0000 c. 130: 22 14 16 20 21 18 19 SP SD: 1.7286 c. M: 2.6923 c. 132: 22 15 16 20 22 18 19 SP SD: 1.5270 c. M:-2.6364 c. 137: 23 15 17 21 22 19 20 SP SD: 1.3969 c. M: 2.6058 c. 160: 27 18 19 25 26 22 23 SP SD: 1.7423 c. M:-2.5000 c. 164: 28 18 20 25 27 22 24 SP SD: 1.7240 c. M:-2.8780 c. 166: 28 18 21 25 27 23 24 SP SD: 1.3399 c. M: 2.4699 c. 171: 29 19 21 26 28 23 25 SP SD: 1.6928 c. M:-2.2105 c. 172: 29 19 21 26 28 24 25 SP SD: 1.4002 c. M: 2.8605 c. 179: 30 20 22 27 29 25 26 SP SD: 1.2819 c. M: 2.8994 c. 180: 30 20 22 28 29 25 26 SP SD: 1.4639 c. M: 2.0000 c. 184: 31 20 23 28 30 25 27 SP SD: 1.2270 c. M: 2.3913 c. 202: 34 22 25 31 33 28 29 SP SD: 1.1533 c. M: 2.3267 c. 209: 35 23 26 32 34 29 30 SP SD: 1.1528 c. M: 1.9856 c. 215: 36 24 26 33 35 30 31 SP SD: 1.1289 c. M: 2.0000 c. 219: 37 24 27 33 36 30 32 SP SD: 1.0300 c. M: 1.9863 c. 226: 38 25 28 34 37 31 33 SP SD: 0.8873 c. M: 1.2832 c. 244: 41 27 30 37 40 34 35 SP SD: 0.8625 c. M:-1.8689 c. 254: 43 28 31 39 41 35 37 SP SD: 0.8289 c. M: 1.1575 c. 262: 44 29 32 40 43 36 38 SP SD: 0.6092 c. M: 1.0840 c. 269: 45 30 33 41 44 37 39 SP SD: 0.5223 c. M: 1.2565 c. 291: 49 32 36 44 48 40 42 SP SD: 0.7308 c. M: 1.0825 c. 316: 53 35 39 48 52 43 46 SP SD: 0.6556 c. M:-1.0253 c. 326: 55 36 40 50 53 45 47 SP SD: 0.6483 c. M:-1.2577 c. 343: 58 38 42 52 56 47 50 SP SD: 0.6846 c. M: 0.9271 c. 344: 58 38 42 53 56 47 50 SP SD: 0.6200 c. M:-1.2791 c. 361: 61 40 44 55 59 50 52 SP SD: 0.5956 c. M:-1.1468 c. 379: 64 42 46 58 62 52 55 SP SD: 0.4480 c. M: 0.7335 c. 386: 65 43 47 59 63 53 56 SP SD: 0.3156 c. M:-0.7513 c. 516: 87 57 63 79 84 71 75 SP SD: 0.3703 c. M: 0.6047 c. 523: 88 58 64 80 85 72 76 SP SD: 0.3088 c. M: 0.5793 c. 545: 92 60 67 83 89 75 79 SP SD: 0.2617 c. M:-0.5688 c. 552: 93 61 68 84 90 76 80 SP SD: 0.2725 c. M:-0.6087 c. 588: 99 65 72 90 96 81 85 SP SD: 0.3061 c. M:-0.5306 c. 612: 103 68 75 93 100 84 89 SP SD: 0.2941 c. M: 0.5098 c. 630: 106 70 77 96 103 87 91 SP SD: 0.2874 c. M:-0.6667 c. 648: 109 72 79 99 106 89 94 SP SD: 0.2321 c. M: 0.5185 c. 655: 110 73 80 100 107 90 95 SP SD: 0.2177 c. M: 0.4733 c. 677: 114 75 83 103 111 93 98 SP SD: 0.2386 c. M:-0.4476 c. 785: 132 87 96 120 128 108 114 SP SD: 0.2734 c. M: 0.4713 c. 807: 136 89 99 123 132 111 117 SP SD: 0.2342 c. M: 0.4275 c. 814: 137 90 100 124 133 112 118 SP SD: 0.1497 c. M: 0.3563 c. 821: 138 91 101 125 134 113 119 SP SD: 0.2068 c. M:-0.3386 c. 931: 157 103 114 142 152 128 135 SP SD: 0.1509 c. M:-0.3631 c. 938: 158 104 115 143 153 129 136 SP SD: 0.1701 c. M:-0.3028 c. 974: 164 108 119 149 159 134 141 SP SD: 0.2059 c. M:-0.2977 c. 1063: 179 118 130 162 174 146 154 SP SD: 0.1800 c. M:-0.3358 c. 1153: 194 128 141 176 188 159 167 SP SD: 0.1526 c. M: 0.2888 c. 1157: 195 128 142 176 189 159 168 SP SD: 0.1908 c. M:-0.2818 c. 1158: 195 128 142 177 189 159 168 SP SD: 0.1749 c. M: 0.2850 c. 1193: 201 132 146 182 195 164 173 SP SD: 0.1106 c. M: 0.1894 c. 1200: 202 133 147 183 196 165 174 SP SD: 0.0000 c. M:-0.0000 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: 18.4775 cents 3 x x 4 x 5 x 6 S SD: 9.4462 cents 4 x 5 x 6 x 7:8 S SD: 21.3126 cents 5 x 6 x 7:8:9:10 S SD: 19.4815 cents 6:7 x 8:9:10:11:12 S SD: 13.8672 cents 7:8 x 9:10:12:13:14 S SD: 18.7090 cents 8:9:10:11:12:13:14:16 S SD: 15.9690 cents 9:10:11:12:13:15:16:18 SD: 7.8782 cents 15:17:18:20:22:25:27:30 SD: 5.4734 cents 19:21:23:25:28:31:34:38 SD: 5.4526 cents 22:25:27:29:32:36:40:44 SD: 4.9215 cents 23:26:28:30:34:38:42:46 SD: 4.7315 cents 25:28:30:33:37:41:45:50 SD: 3.7522 cents 32:36:39:42:47:53:58:64 SD: 2.6913 cents 41:46:50:54:60:67:74:82 SD: 2.3527 cents 47:53:57:62:69:77:85:94 SD: 1.3076 cents 56:63:68:74:82:92:101:112 SD: 1.0596 cents 88:99:107:116:129:145:159:176 SD: 1.0479 cents 90:101:109:119:132:148:163:180 SD: 0.7627 cents 113:127:137:149:166:186:204:226 SD: 0.7507 cents 121:136:147:160:178:199:219:242 SD: 0.6170 cents 137:154:166:181:201:225:248:274 SD: 0.5581 cents 146:164:177:193:214:240:264:292 SD: 0.5412 cents 168:189:204:222:247:276:304:336 SD: 0.5199 cents 169:190:205:223:248:278:306:338 SD: 0.4456 cents 177:199:215:234:260:291:320:354 SD: 0.3656 cents 252:283:306:333:370:414:456:504 SD: 0.3443 cents 258:290:313:341:379:424:467:516 SD: 0.2966 cents 267:300:324:353:392:439:483:534 SD: 0.2075 cents 346:389:420:457:508:569:626:692 SD: 0.1621 cents 380:427:461:502:558:625:687:760 SD: 0.1515 cents 436:490:529:576:640:717:789:872 SD: 0.1492 cents 548:616:665:724:805:901:991:1096 SD: 0.1458 cents 549:617:666:725:806:903:993:1098 SD: 0.1409 cents